the ratio of boys to girls in the 9th grade is 7 to 9 there are 218 girls set up the proportion to model this information

Answers

Answer 1

Answer:

the answer will be equal to x= 1962 over 7


Related Questions

Given
h
(
x
)
=

x

4
h(x)=−x−4, find
h
(

6
)
h(−6).

Answers

Answer:

[tex]h(-6)=-(-6)-4\\h(-6)=2[/tex]

Step-by-step explanation:

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of
the difference of three and the number"?
O6 + 2(x + 4) = (3-x)
O 6+ 2(x+4)=(x-3)
O (6+2)(x+4)=(3-x)
O (6+2)(x+4)=(x-3)

Answers

Answer:

Step-by-step explanation:

Comment

Start with the right hand side.

1/2(3 - x)

This reads as The difference between 3 and a number. You put it the way you read it difference between 3 and a number = 3 - x The 1/2 affects both terms. So that makes b and d incorrect.

The left side is a bit harder. You want the sum of 6 + something. Read the rest of the given

6 + 2(x +4)

Now that is all equal to

6 + 2(x + 4) = 1/2 (x - x)

The answer is A

Area=
Help me. I'm stuck on this question thank u

Answers

Answer: 18

Step-by-step explanation:

(3+6)/2*4

Answer:

18 square feet.

Step-by-step explanation:

Area of trapezoid:

   a = 6 ft

   b = 3 ft

   h = 4 ft

a & b are the length of the parallel lines. h is the height between the parallel lines.

[tex]\sf \boxed{\text{\bf Area of trapezoid =$ \dfrac{(a+b)*h}{2}$}}[/tex]

                                  [tex]\sf =\dfrac{(6+3)*4}{2}\\\\=\dfrac{9*4}{2}\\\\= 9 * 2\\\\= 18 \ ft^2[/tex]

Solve this system of equations by using the elimination method -3x+y=6 -3x+y=12

Answers

Answer:

None

Step-by-step explanation:

We can eliminate the x's by add the 2 equations :

2y = 18

Divide both sides by 2 :

y = 9

Substitute this value into equation 1 to solve for x :

-3x + (9) = 6

Subtract 9 from both sides :

-3x = -3

Divide both sides by -3 :

x = 1

Substitute these values into equation 2 to check :

-3(1) + 6 = 12 ❌❌

So it has no solution

Please help ill give whoever answers the best the brainliest answer :)))

Answers

Answer:

third option listed

Step-by-step explanation:

We know that Johnny does not ever stay/wait at the same distance from the wall, as that would look like a flat line (the y-value / distance would be unchanging, it would be constant)

So, the only possibly correct option is C, because all other options describe him pausing

But why is it not A? We know that at "0" y we are at the gym wall, and that each point is a point that he turns around and runs the opposite way. He first runs away, back, away, back, away, back--which we know because of the direction of the line over time. We also can tell that each period of "away, back" is the same distance, and it takes the same time to travel that distance, by looking at the length of each line.

hope this helps!! have a lovely day :)

Answer:

the 3rd answer option

Step-by-step explanation:

as we can see, time is on the x-axis.

(0, 0) means start of the action (0 seconds) with 0 distance to the gym wall.

then we see that for 2 seconds Johnny increases the distance to the gym wall up to 3 units (the line goes to (2, 3)).

then we see that for the next 2 seconds he returns to the gym wall (0 distance).

then for 3 seconds he increases the distance to the gym wall to 5 units. the line goes to (7, 5). and then for the next 3 seconds he returns to the gym wall (0 distance). then for 4 seconds he increases the distance to the gym wall to 7 units. the line goes to (14, 7). abd then for the next 4 seconds he returns to the gym wall (0 distance).

Which linear inequality is represented by the graph?

y < 3x + 2
y > 3x + 2
y < One-thirdx + 2
y > One-thirdx + 2

Answers

The linear equality y < 3x + 2 is represented by the graph attached.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An inequality is the non equal comparison of two or more numbers and variables.

The linear equality y < 3x + 2 is represented by the graph attached.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

What information can be used to compare linear relationships? Explain why

Answers

Answer:

A linear relationship can be represented by a straight-line graph and by an equation of the form y=mx+b. In the equation, m is the slope of the line, and b is the y-intercept. Used to track changes over short and long periods of time. When smaller changes exist, this graph is better to use than bar graphs.

Abby, Bernardo, Carl, and Debra play a game in which each of them starts with four coins. The game consists of four rounds. In each round, four balls are placed in an urn - one green, one red, and two white. The players each draw a ball at random without replacement. Whoever gets the green ball gives one coin to whoever gets the red ball. What is the probability that, at the end of the fourth round, each of the players has four coins

Answers

Abby, Bernardo, Carl, and Debra play a game in which each of them starts with four coins. The game consists of four rounds. In each round, four balls are placed in an urn - one green, one red, and two white. The players each draw a ball at random without replacement. Whoever gets the green ball gives one coin to whoever gets the red ball. What is the probability that, at the end of the fourth round, each of the players has four coins

The probability that, at the tip of the fourth round, each of the players has four coins is 5/192.

Given that game consists of 4 rounds and every round, four balls are placed in an urn one green, one red, and two white.

It amounts to filling in an exceedingly 4×4 matrix. Columns C₁-C₄ are random draws each round; row of every player.

Also, let [tex]\%R_{A}[/tex] be the quantity of nonzero elements in [tex]R_{A}.[/tex]

Let [tex]C_{1}=\left(\begin{array}{l}1\\ -1\\ 0\\ 0\end{array}\right)[/tex].

Parity demands that [tex]\%R_{A}[/tex] and[tex]\%R_{B}[/tex] must equal 2 or 4.

Case 1: [tex]\%R_{A}[/tex]=4 and [tex]\%R_B[/tex]=4. There are [tex]\left(\begin{array}{l}3\\ 2\end{array}\right)[/tex]=3 ways to put 2-1's in [tex]R_A[/tex], so there are 3 ways.

Case 2: [tex]\%R_{A}[/tex]=2 and [tex]\%R_B[/tex]=4. There are 3 ways to position the -1 in [tex]R_A[/tex], 2 ways to put the remaining -1 in [tex]R_B[/tex] (just don't put it under the -1 on top of it!), and a pair of ways for one among the opposite two players to draw the green ball. (We know it's green because Bernardo drew the red one.) we are able to just double to hide the case of [tex]\%R_{A}=4,\%R_{B}=2[/tex] for a complete of 24 ways.

Case 3: [tex]\%R_A=\%R_B=2[/tex]. There are 3 ways to put the -1 in [tex]R_{A}[/tex]. Now, there are two cases on what happens next.

The 1 in [tex]R_B[/tex] goes directly under the -1 in[tex]R_A[/tex]. There's obviously 1 way for that to happen. Then, there are 2 ways to permute the 2 pairs of 1,-1 in [tex]R_C[/tex] and[tex]R_D[/tex]. (Either the 1 comes first in[tex]R_C[/tex] or the 1 comes first in [tex]R_D[/tex].)The 1 in [tex]R_B[/tex] doesn't go directly under the -1 in [tex]R_A[/tex]. There are 2 ways to put the 1, and a couple of ways to try and do the identical permutation as within the above case.

Hence, there are 3(2+2×2)=18 ways for this case. There's a grand total of 45 ways for this to happen, together with 12³ total cases. The probability we're soliciting for is thus 45/(12³)=5/192

Hence, at the top of the fourth round, each of the players has four coins probability is 5/192.

Learn more about probability and combination is brainly.com/question/3435109

#SPJ4

Educational Technology Inc. sells software to provide guided homework problems for a statistics course. The company would like to know if students who use the software score better on exams. A sample of students who used the software had the following exam scores: 86, 78, 66, 83, 84, 81, 84, 109, 65, and 102. Students who did not use the software had the following exam scores: 91, 71, 75, 76, 87, 79, 73, 76, 79, 78, 87, 90, 76, and 72. Assume the population standard deviations are not the same. At the alpha = .10 significance level, can we conclude that there is a difference in the mean scores for the two groups of students
a. What are the three assumptions for CASE C?
b. State the null and alternative hypothesis for this problem.
c. State the level of significance for this problem.
d. Which distribution (normal or t) should be used in this problem? Explain why.
e. Create a decision rule for this problem. Include the critical value. (USE TEXTBOOK TABLE.) Make sure it agrees with the excel printout.
f. Calculate the test statistic. (BY HAND). Make sure it agrees with the excel printout.
g. What is your conclusion? EXPLAIN IN DETAIL.
h. Estimate the p-value for this problem. Restate the conclusion. What is the actual p-value from the excel printout?

Answers

The assumptions in each case of this statistics problem is given as follows:

Samples are independent and samples are simple random samplesDistribution is normal (t distribution)The independent variable measures on interval scale.

What is the Decision?

ts < tc Do not reject H0

What is the P value?

P value > α Do not reject H0

There is insufficient data to determine that the mean scores of the two groups of pupils differ.

Learn more about statistics at;
https://brainly.com/question/15525560
#SPJ1



[Will Mark Brainliest]
Make tables to find the solution to 8x = 2x + 2. Take the integer values of x between -3 and 3.

Answers

Answer:

i'm not realy sure what you mean by a table

8x=2x+2

subtract 2x from each side

6x=2

divide by 6

x=1/3

Hope This Helps!!!

Step-by-step explanation:

So if you want to make a table to find the solution, you'll need 3 columns, one will be the value of x, the other two will be the value of the equation (left and right) and then you'll need to look where the two equations are equal, and the solution is whatever the x-value is. It'll look something like this:

[tex]x\ \ \ \ |\ 2x+2\ |8x\\-3\ \| -4\ \ \ \ \ | -24\\-2\ \| -2\ \ \ \ \ |-16\\-1\ \| 0\ \ \ \ \ \ \ \ \ | -8\\0\ \ \ \ \|2\ \ \ \ \ \ \ \ \ | 0 \\1\ \ \ \ \| 4\ \ \ \ \ \ \ \ \ | 8\\2\ \ \ \ \|6\ \ \ \ \ \ \ \ \ | 16\\3\ \ \ \ \|8\ \ \ \ \ \ \ \ \ | 24[/tex]  

As you can see, none of rows (the two right most columns with the equations) are ever equal, on the same row. This is because the solution is not an integer. If you solve it algebraically. You'll get this:

Original equation

8x = 2x+2

Subtract 2x from both sieds

6x = 2

Divide both sides by 6

x = 2/6

Simplify the fraction

x=1/6

Mary has $6$ identical basil plants, and three different window sills she can put them on. How many ways are there for Mary to put the plants on the window sills

Answers

There are 28 ways for Mary to put the plants on the sills.

We can use the Binomial Theorem to solve this problem.

We have 6 plants and 3 sills, so we have6 + 3 − 1 = 8 total objects.

Since we have 8 objects, we can use the Binomial Theorem to expand [tex](x + y)^{8}[/tex].

The coefficient   [tex]x^{6} y^{2}[/tex] will be the number of ways for Mary to put the plants on the sills. We can expand [tex](x + y)^{8}[/tex]

using the Binomial Theorem:

[tex](x + y)^{8}=(\left\ {{8}\atop {0}} \right. )x^{8}+ (\left\ {{8}\atop {1}} \right. )x^{7}y+(\left\ {{8}\atop {2}} \right. )x^{6}y^{2} +(\left\ {{8}\atop {3}} \right. )x^{5}y^{3} +(\left\ {{8}\atop {4}} \right. )x^{4}y^{4}+(\left\ {{8}\atop {5}} \right. )x^{3}y^{5} +(\left\ {{8}\atop {6}} \right. )x^{2}y^{6} +(\left\ {{8}\atop {7}} \right. )x^{1}y^{7} +(\left\ {{8}\atop {8}} \right. )y^{8}[/tex]

Since we are only interested in the coefficient of [tex]x^{6} y^{2}[/tex] , we can ignore all terms that do not have [tex]x^{6}[/tex] and  [tex]y^{2}[/tex].

Therefore, we are left with [tex](\left\ {{8}\atop {2}} \right. )x^{6}y^{2}[/tex]

[tex](\left\ {{8}\atop {2}} \right. )=\frac{8!}{2!(8-2)!} =\frac{8!}{2!6!} =\frac{8*7*6!}{2!6!} =28\\[/tex]

Therefore, there are 28 ways for Mary to put the plants on the sills.

Learn more about Binomial theorem here https://brainly.com/question/2584994

#SPJ4

15 Which equation represents a line with slope of
1/2
and y-intercept of 3?
1
A y = 3x + ²/²
B. y=-1⁄2x+3
C. y = x+3
D. y=1/2x-3

Answers

[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]

Which equation represents a line with slope: [tex]\bf{\dfrac{1}{2}[/tex] and y-intercept: [tex]\bf 3[/tex]?

[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]

[tex]\bf{Equation: y=mx+b[/tex]

[tex]\bf{Equation\:with\:the\:given\:information: y=\dfrac{1}{2}x+3}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\bf{Result:}[/tex]

                      [tex]\bf{y=\dfrac{1}{2}x+3}[/tex]

[tex]\boxed{\bf{aesthetic \not101}}[/tex]

Bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Review the work showing the first few steps in writing a partial fraction decomposition.


StartFraction 4 x + 40 Over (x + 2) (x + 6) EndFraction = StartFraction A Over x + 2 EndFraction + StartFraction 16 Over x + 6 EndFraction


4x + 40 = A(x + 6) + B(x + 2)


4x + 40 = Ax + 6A + Bx + 2B


What is the partial fraction decomposition in terms of x?


StartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction negative 12 Over x + 2 EndFraction + StartFraction 16 Over x + 6 EndFraction

StartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction negative 4 Over x + 2 EndFraction + StartFraction 8 Over x + 6 EndFraction

StartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction 8 Over x + 2 EndFraction + StartFraction negative 4 Over x + 6 EndFraction

StartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction 16 Over x + 2 EndFraction + StartFraction negative 12 Over x + 6 EndFraction


The Answer is C

Answers

StartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction 8 Over x + 2 EndFraction + StartFraction negative 4 Over x + 6 EndFraction

What is partial fraction?

Partial fractions are the fractions used for the decomposition of a rational expression.

Given:

(4x + 40)/ (x + 2)(x + 6) = A/(x + 2) + B/(x + 6)

4x + 40 = A(x + 6) + B(x + 2)

4x + 40 = x(A+B) + 6A +2B

On comparing

4= A+B

A= 4-B

and, 6A +2B =40

3A + B =20

3(4-B) + B =20

12  - 3B + B =20

-2B = 8

B= -4

and, A= 8

Hence, StartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction 8 Over x + 2 EndFraction + StartFraction negative 4 Over x + 6 EndFraction

Learn more about this concept here:

https://brainly.com/question/27156476

#SPJ1

Answer:

C.

Step-by-step explanation:

photo below

A single card is drawn from a standard 52 deck of cards.work out the probability of choosing a heart

Answers

I honestly have no idea how to slove this question

For real,I don't know. OK

BTW,you nice,keep going

Let P(x) = 3x³-ax+b. If P(1) = P(-1) and P(2)=16, find the values of a and b

Answers

P(1) = P(-1)

P(1) = 3 - a + b
P(-1) = -3 + a + b

-> 3 - a + b = -3 + a + b
-> 3 - a + b + 3 - a - b = 0
-> 6 - 2a = 0
-> a = 3.

P(2) = 24 - 2a + b -> 24 - (2a - b) = 16 -> 2a - b = 8
-> 6 - b = 8
b = -2.

So, a = 3 and b = -2

Recheck : P(1) = 3 - 3 + (-2) = -2
P(-1) = -3 + 3 + (-2) = -2 => P(1) = P(-1) (true)

P(2) = 24 - 6 + (-2) = 16.

Choose three different types of financial institutions and research their websites. Write a report (about 500 words) describing at least three services that each of these financial institutions provides to consumers and businesses.

Answers

Three types of financial institutions and the services they offer include:

Commercial banks:

Issue loans to businesses and individuals. Deposit services to entities. Payment agent for trade partners.

Insurance company:

Offer protection from financial losses. Wealth accumulation. Investment services to grow wealth.

Investment banks:

Underwrite stocks for IPOs. Offer advisory services to companies and individuals. Oversee mergers and acquisitions.

What are some types of financial institutions?

Commercial banks are one of the largest and they offer deposit services to people and companies. They then use these deposits to make loans.

Insurance companies act to protect their clients from financial losses arising from unforeseen circumstances. They also help with wealth accumulation if a claim is not made.

Investment banks are very important for stock issuance, and mergers and acquisitions where they act as financial advisors and facilitators.

Find out more on investment banks at https://brainly.com/question/25787830.

#SPJ1

Answer:

this is the example answer.

Step-by-step explanation:

(Answers may vary.)

Bank: Wells Fargo is a commercial bank that provides services for individuals, small businesses, and corporations. The bank manages IRAs (traditional and Roth), which are retirement funds that invest in different stocks and bonds to earn interest. Traditional IRAs offer tax-deferred growth. An individual doesn't have to pay taxes on earnings until he or she is ready to make withdrawals (i.e., after retirement). Roth IRAs offer tax-deferred growth until retirement and tax-free withdrawals while in retirement. The bank offers merchant services for small businesses. The bank processes payments via credit cards, debit cards, checks, gift cards, and international payments. Wells Fargo also gives small businesses options on how to accept customer payments: online shopping carts, mobile apps, and onsite payment processing equipment.The bank offers affordable student loans to cover the cost of tuition, books, computers, and housing. Students are not required to make loan payments until six months after leaving school. The bank offers two types of interest rates on student loans: variable and fixed. Variable interest rates range from 3% to 8% and fixed rates range from 5% to 10%.

Credit union: Navy Federal Credit Union has more than 5 million members. It is available for anyone who is affiliated with the Armed Forces, Coast Guard, National Guard, or the Department of Defense, or anyone who has a family member who is already a Navy Federal member. It offers a fixed-rate home equity loan for members. Home equity loans use a borrower’s home as collateral for the loan. These loans are usually used to pay for major expenses such as home repairs, college education, medical bills, and so on. The borrower can borrow up to 100 percent of the home's property value, with the agreement that the fixed-rate loan will be paid off in 20 years (longest term available). This credit union guarantees no hidden closing costs on the loan. It offers motorcycle, boat, and leisure vehicle loans. The loans require zero down payment and promise to cover the cost of the vehicle/boat, taxes, title, and tags. This is a good loan for someone who has not saved any money prior to choosing to buy a vehicle.It also offers prepaid Visa cards, which are useful for students and young adults who are learning to control expenses. Unlike most prepaid cards, this credit union states there are no hidden monthly fees, activation charges, or purchase fees. The prepaid cards can be loaded up to $10,000 and are protected by the credit union's zero liability policy. There are spending limits associated with the program: an ATM withdrawal limit per day of $600 and a spending limit of $3,000 per day.

Financial service company: First Financial advertises itself to be a leading provider of bad credit auto loans. It markets to individuals and companies who have bad credit ratings and cannot qualify for loans with banks and credit unions.It offers auto loans for anyone who earns $1,500 if the borrower’s credit score is less than 650. People who have filed bankruptcy can also obtain loans. The company’s website does not quote an interest rate or loan term.It offers business loans to high-risk merchants with bad credit. The website does not quote interest rates or loan terms.It offers merchant cash advances, which provide quick cash for businesses. The site does not provide detailed information about this service.


4. The two figures shown are congruent. Which statement is true?
One figure is a translation image of the other.
One figure is a reflection image of the other.
One figure is a rotation image of the other

Answers

Answer: Reflection

Explanation: a reflection is a a mirror image of the shape

1. Antonio started the question 2x + 1 = 11 by writing 2x = 10. Which
property justifies this step?
(1)
Commutative property of addition
(2)
Distributive property of multiplication over addition
(3) Addition property of equality
4)
Subtraction property of equality

Answers

The property that Antonio has used is what is called the Subtraction property of equality.

What is the Subtraction property of equality?

This is the property that tells us in mathematics that is a number is subtracted from an inequality, they would still remain the same.

2x + 1 = 11 is the same thing as also writing  2x = 10. The difference is that the like terms were on the same side.

Read more on Subtraction property of equality here:

https://brainly.com/question/1005442

#SPJ1

What epoch do we currently live in?
A. Archaean
B. Holocene
C. Pleistocene
D. Mesozoic

Answers

Answer:

Holocene

Step-by-step explanation:

The Holocene began 11,700 years ago after the last major ice age.

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

Answers

Thw statement that's true for the function g is g(-13) = 20.

How to illustrate the information?

From the information given, the function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45.

In this case, g(-13) = 20. Here, x = -13 is in the domain and 20 is also in the range. Therefore, this is true for g.

Learn more about functions on:.

brainly.com/question/10684895

#SPJ1

Which two of the options below are equal
to in this right-angled triangle?
b
sin 34°
sin 56°
cos 34°
cos 56°
tan 34°
tan 56°
a
56°
b
с
34°
Not drawn accurately

Answers

Answer: [tex]\cos 34^{\circ}[/tex] and [tex]\sin 56^{\circ}[/tex]

9 out of 20 students who graduate from j.h.s. of 1,2000 students gained admission to s.h.s. how many students gained admission?

Answers

Answer:

5,400

Step-by-step explanation:

Out of every 20 students, there are 9 that gain admission to s.h.s.

Overall, there are 12,000 students. To find how many groups of 20 students there are, we divide 12,000 by 20. We get 600.

Since there are 9/20 students, we multiply 600 * 9. We get 5,400.

So, out of the 12,000 students, 5,400 gained admission.

Hope this helps.

Tayloe travels 35 miles every 2 days to work. how many days would it take him to travel 100 miles . answer in fraction

Answers

The number of days Tayloe will take to travel 100 miles if he travels 35 miles every 2 days is 40/7 or 5 5/7 in fraction form.

A fraction is a representation of a part of the whole.

Written as a/b, read as "a by b", it functions as a number of parts of a total of b number of parts.

In the question, we are given that Tayloe travels 35 miles every 2 days to work.

Therefore, daily traveling done by Tayloe can be shown as a fraction, 35/2 miles.

The total traveling given to us is 100 miles.

Thus, the number of days Tayloe will take to travel 100 miles can be shown in fractional form as 100/(35/2) = (100*2)/35 = 40/7 or 5 5/7.

Thus, the number of days Tayloe will take to travel 100 miles if he travels 35 miles every 2 days is 40/7 or 5 5/7 in fraction form.

Learn more about fractions at

https://brainly.com/question/13841871

#SPJ4

Answers for part one and part two please!

Answers

When a customer has a 6 pound Chihuahua, the cost that will be charged is $5.00.

How to calculate the cost?

a. If a customer has a 6 pound Chihuahua, how much would you charge?

It should be noted that from the information given, for dogs that weigh 0 to 15 pounds, the amount charged is $5.00.

b. If a customer has a 65 pound Labrador, how much would you charge?

It should be noted that for dogs over 45 pounds, the amount that's charged is $9.00

There, the amount charged will be $9.00.

Learn more about cost on:

brainly.com/question/25109150

#SPJ1

14 cm perimeter of circle​

Answers

Step-by-step explanation:

Radius = 14 cm

π = 22/7 (Because the value of the circle's radius is the multiples of 7).

• Perimeter :

= 2 . π . r

= 2 . 22/7 . 14

= 28 . 22/7 (Divide 28 and 7 with 7)

= 4 . 22/1

= 4 . 22

= 88 cm is the answer

An observatory is 150 feet high. when a person is standing in the observatory looking at an island, the angle of depression is . what is the approximate horizontal distance from the observatory to the island?

Answers

Using Trigonometry, the approximate distance from the observatory to the island is evaluated to be 322 feet.

Given Information

It is given that,

The height of the observatory = 150 feet

The angle of depression from the top of the observatory = 25°

We can calculate the horizontal distance of the observatory from the island using Trigonometry

What is Trigonometry?

The area of mathematics known as Trigonometry is concerned with certain functions of angles and how to use them in computations. There are six popular Trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc) are their respective names and acronyms.

Calculating the Horizontal Distance Using Trigonometry

As per the rules of the Trigonometry,

[tex]tan \alpha = \frac{Perpendicular/ Opposite Side}{Base}[/tex]

Here,

[tex]\alpha[/tex] = 25°

Perpendicular = 150 ft.

Base = Horizontal Distance

Thus, [tex]tan 25 =\frac{150}{Horizontal Distance}[/tex]

∴ x ≈ 322 ft.

Learn more about Trigonometry here:

https://brainly.com/question/26719838

#SPJ4

A plane leaves town A for town B.at 0540hours.If the journey takes 6.5hours at what time does the plane reach its destination?

Answers

The plane reaches its destination at 12h10 minutes if the plane leaves town A for town B.at 0540hours

What is the time zone?

For legal, commercial, and social purposes, a time zone is a region that observes a uniform standard time. Instead of strictly following longitude, time zones tend to follow the borders between countries and their subdivisions.

We have:

A plane leaves town A for town B.at 0540hours.If the journey takes 6.5hours

05h40min

Total time takes = 6 hours and 30 minutes

= 5 hours + 40 minutes + 6 hours + 30 minutes

= 11 hours + 70 minutes

= 12 hours 10 minutes

or

= 12h10 minutes

Thus, the plane reaches its destination at 12h10 minutes if the plane leaves town A for town B.at 0540hours

Learn more about the time zone here:

brainly.com/question/10711315

#SPJ1

Based on the form of the equation, what is the best way to graph the line 3x+3y=15? Select the correct answer below: Recognize the equation as that of a vertical line passing through the x-axis at 15. Recognize the equation as that of a horizontal line passing through the y-axis at 15. Identify the slope and y-intercept, and then graph. Find the x- and y-intercepts, and then graph.

Answers

Answer is to Identify the slope and y-Intercept and then graph
Further explanation
Your equation is 3x + 3y = 15
Change this to y intercept form by isolating y
3y = -3x + 15
Now solve for y by dividing both sides by 3
y = -1x + 5
Then you would graph it

Triangle A C B is cut by line segment E D. Line segment E D goes from side B C to side A C. The length of B A is 4 x minus 6 and the length of E D is x + 2. The length of B E is x. Sides B E and E C are congruent. Sides A D and D C are congruent.

What is the length of BC?

From the markings on the diagram, we can tell E is the midpoint of BC and

is the midpoint of AC

We can apply the

theorem: ED = One-halfBA.

Substituting in the expressions for the lengths and solving for x, we get x =

.

Now, since BE = x, then BC =
.

Answers

From the markings on the diagram, we can tell E is the midpoint of BC and D is the midpoint of AC. We can apply the triangle midsegment theorem: ED = ½BA. Substituting in the expressions for the lengths and solving for x, we get x = 5. Now, since BE = x, then BC = 10.

What is triangle midpoint theorem?

Triangle midpoint theorem states that the line segment which joins the midpoints of two (2) sides of a triangle is parallel to the third side, and it's congruent to one-half of the third side.

By applying the triangle midpoint theorem, we can find the value of x:

ED = ½BA

x + 2 = ½(4x - 6)

2x + 4 = 4x - 6

4x - 2x = 6 + 4

2x = 10

x = 10/2

x = 5.

BC = x + x

BC = 5 + 5

BC = 10.

Read more on triangle midpoint theorem here: https://brainly.com/question/16047906

#SPJ1

Jonathan collects spiders and beetles. In total all the insects inhis collection have 76 legs and 11 heads. How many of each insect did he collect? (Note: beetles have 6 legs and spiders have 8 legs.)

Answers

Answer:

spider : 5

beetle : 6

Step-by-step explanation:

Total number of legs --> 8 + 6 = 14 ( 1 set )

Number of sets that can fit --> 76 ÷ 14 = 5 R 6

Since each set has a beetle and a spider,

Number of spider -->5 × 1 = 5

Since there are additional 6 legs:

Number of beetles --> ( 5 × 1 )+ 1 = 6

Other Questions
What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm? Enter your answer as a decimal in the box A uniform rod with a mass of m = 1.94 kg and a length of l = 2.10 m is attached to a horizontal surface with a hin ge. The rod can rotate around the hin ge without friction.Initially the rod is held at rest at an angle of = 70.4 with respect to the horizontal surface. Then the rod is released.1. What is the angular speed of the rod, when it lands on the horizontal surface?2. What is the angular acceleration of the rod, just before it touches the horizontal surface? In the condensation part of the water cycle, what is the change of state that water goes through?A: From gas to liquidB: From liquid to gasC: Form liquid to solidD: From solid to gas Find f(5) for f(x)=1/4(2)^xA. 2B. 4C. 32D. 8 choose the equation below that represents the line passing through the point (-2,-3) with a slope of -6 Two balls of equal mass collide and stick together as shown in the figure. The initial velocity of ball B is twice that of ball A. a. Calculate the angle above the horizontal of the motion of mass A + B after the collision. b. What is the ratio of the final velocity of the mass A + B to the initial velocity of ball A, /? c. What is the ratio of the final energy of the system to the initial energy of the system, /? Is the collision elastic or inelastic? A 16 -foot ladder is leaning on a tree. The bottom of the ladder on the ground at a distance of 6 feet from the base of the tree. The base of the tree and the ground form a right angle. What is the distance, in feet, between the ground and the top of the ladder? Round your answer to the nearest tenth. Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s2 lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.56 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.2 mm. If the floor is carpeted, this stopping distance is increased to about 1.3 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. Answer the following:1.hardwood floor magnitude 2.hardwood floor duration 3.carpeted floor magnitude 4.carpeted floor duration Why do development experts use per capita gross domestic product (per capita GDP) instead of gross domestic product (GDP) to determine the value of production and measure of income for an economy I would appreciate if somebody help me please!!! Pt2 posted Divide x ^ 4 + x - 1 by x - 1 A box is to be constructed with a rectangular base and a height of h cm. the length, l, of the box is 10 cm, and the width, w, is twice the height. which quadratic equation best models the volume of the box? v = lwh Rebecca bought 15 cupcakes for her birthday party, each cupcake was 3$ plus tax, the total bill was $47.25 how much tax did she pay on each cupcake A una excursion van 40 nios acopmaados por 30 adultos.Pasaran la noche en cabaas iguale,pero lod nios y los adultos deben dormir separados.Cuantas menos cabaas ocupen,menos pagaran cuantas cabaas deben ocupar para pagar lo menos posible?cuantos dormiran en cada cabaa? Which biome is called by different names in different places?1. Grassland2. Rainforest3. Desert4. Tundra write the function and syntax of the following QBASIC statement.i. INPUTi. PRINT write this ratio as a fraction in simplest form without any units. 3 pounds to 54 ounces Writing Exercises296. Which method do you prefer to use when multiplying two binomials: the Distributive Property, the FOIL method, or the Vertical Method? Why? factor the following expression28w^(4)x^(2)y^(7)+12w^(9)x^(8) Describe the old man's appearance. What was he doing in San Carlos?