NEED ANSWER ASAP HELP

Given ABC with altitude h
Prove: sin(B)/b=sin(C)/c

NEED ANSWER ASAP HELPGiven ABC With Altitude HProve: Sin(B)/b=sin(C)/c

Answers

Answer 1

Using the given information in the diagram, we have proven that sin(B)/b = sin(C)/c

Proving the Sine rule

From the question, we are to prove that sin(B)/b=sin(C)/c

Consider the right triangle with sides a, c, and h

Using SOH CAH TOA, we can write that

sin(B) = h/c

h = c × sin(B) --------- (1)

Also,

Consider the other right triangle

Using SOH CAH TOA, we can write that

sin(C) = h/b

h = b × sin(C) ---------- (2)

Equate equations (1) and (2)

That is,

c × sin(B) = b × sin(C)

This can then be expressed as

sin(B)/b = sin(C)/c

Hence, the given expression is proven as shown above

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Answer 2
Multiple property of equalitycsin(B) = bsin(C)Division property of equality

NEED ANSWER ASAP HELPGiven ABC With Altitude HProve: Sin(B)/b=sin(C)/c
NEED ANSWER ASAP HELPGiven ABC With Altitude HProve: Sin(B)/b=sin(C)/c

Related Questions

In Walter's class, 14 of the 25 students ride the bus. In Sasha's class, 11 of the 20 students ride the bus. Which class has a greater percent of students who ride the bus?

Answers

The class which has a greater percent of students who ride the bus is Walter's class

How to find percentage?

Walter's class:

14 of the 25 students ride the bus

Percentage of students who ride bus = 14 / 15 × 100

= 0.933 × 100

= 93.3%

Sasha's class:

11 of the 20 students ride the bus

Percentage of students who ride bus = 11 / 20 × 100

= 0.55 × 20

= 55%

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Enter the number that belongs in the green box.

Answers

Answer:

the green box is 0

Step-by-step explanation:

we are asked to find the x-intercept, which means y = 0

(x, y)

Another way to test this is plug it in 1 for x!  (1, y) where x = 1

[tex]y = \frac{2x^{2} -3x+1}{2x^{2} +8x+6} \\\\[/tex]

[tex]y = \frac{2(1)^{2} -3(1)+1}{2(1)^{2} +8(1)+6}[/tex]

[tex]y = \frac{2(1) -3(1)+1}{2(1) +8+6}[/tex]

[tex]y = \frac{2 - 3 + 1}{2 + 8 + 6}[/tex]

[tex]y = \frac{-1+1}{10 + 6}[/tex]

[tex]y = \frac{0}{16}[/tex]

y = 0

What is the area of a polygon with vertices of (-2,-4), (4,-4), (4, 4), and (-5, 4)?
216 square units
30 square units
120 square units
60 square units

Answers

Answer: 60 square units

Step-by-step explanation: i hope that helps buddy :)

What is the area of the following triangle in square meters? Do not round your answer.



A
=


m
2

Answers

The area of the triangle will be 3240 square centimeters.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The diagram is given below.

The height of the triangle is 120 cm and the base of the triangle is 54 cm.

Then the area of the triangle will be

Area = 1 / 2 x 120 x 54

Area = 3240 square cm

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Answer:

0.324

Step-by-step explanation:

2x(x-5) -x (3 + 2x) = 26
help me pls

Answers

Answer:

x = -2

Step-by-step explanation:

[tex]2x(x-5)-x(3+2x) = 26\\2x^{2} -10x-3x-2x^{2} = 26\\-13x=26\\x=\frac{26}{-13} \\=-2[/tex]

Its basically the order of operations, from left to right , evaluate brackets (if possible), then multiplication or division, lastly followed by addition or subtraction.

2x2-10x-3x-2x2=26

Eliminam opusele

reducem termenii

-13x=26

imparte ambele parti

x=-2

Step-by-step explanation:

Please help me, greatly appreciate it!

Answers

Answer: See the screenshots below

I'm answering in this format because the questions aren't numbered, so its hard to reference them consistently (so we're both on the same page).

All decimal values are approximate. I decided to round to 4 decimal places, but feel free to use another level of precision.

Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. after c years, calvin has $658.80. makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. after m years, makayla has $613.04. what is the approximate difference in the number of years that calvin and makayla have their money invested?

Answers

The approximate difference in years for Calvin and Makayla is that B. Makayla invests her money 2 years longer.

Calculations and Parameters:

Given:

Interest rate= 5%Deposit of Calvin= $400Final amount after c years= $658.80

We use the compound interest formula,

[tex]A= P(1 + r/t)^t[/tex]

[tex]658.8/400= (1205/1200)^1^2^c[/tex]

c= 10 years approx.

For Makayla,

Amount deposited= $300Interest rate= 6%Final amount= $613.4m= ?

We use the same formula:

[tex]A= P(1 + r/t)^t\\[/tex]

[tex]613.4/300= (1206/1200)^1^2^m[/tex]

m= 12 years approx.

Hence, the difference in the years would be:

12-10

= 2 years.

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Answer:

Makayla invests her money 2 years longer

Step-by-step explanation:

b on edge

Peter built a chest that measures 2 feet by 11
2
feet by 1 foot. He wants to fill the chest with plastic coins.

A prism has a length of 2 feet, height of 1 foot, and width of 1 and one-half feet.

What is the maximum amount of space that the chest can hold?
The maximum amount of space is
cubic feet.

Answers

Answer:

3

Step-by-step explanation:

got it on edge

I would really appreciate it if someone helped answer these 4 questions. I will rate 5 stars. Thank you (:

Answers

Answer:

7. 13.6

8. 19.5

9. 6.5

10. 12.6

Step-by-step explanation:

Recall the three main trig functions

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

( remember hypotenuse = longest side length , opposite = side length opposite of angle , and adjacent = side length thats not the opposite or hypotenuse )

We will use these to solve each problem

7.

We are given :

An angle with a measure of 39 degreesThe angles opposite side length The adjacent side as the unknown

When dealing with opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in opp = 11 and adj = x as well as given angle 39

tan(39) = 11/x

==> multiply both sides by x

xtan(39) = 11

divide both sides by tan(39)

x = 11/tan(39)

plugging this into a calculator , we get x = 13.6 ( rounded )

8.

We are given :

an angle with a measure of 46 degreesthe hypotenuse which has a length of 28and the adjacent as the unknown

When dealing with adjacent and hypotenuse we use cos

We have cos = adj / hyp

==> plug in given angle 46 , adj = x and hyp = 28

cos(46) = x/28

==> multiply both sides by 28

x = 28cos(46)

plugging this into a calculator we get  x = 19.5 ( rounded )

9.

We are given :

an angle with a measure of 51 degreesits opposite side length with a length of 8 the adjacent side length as the unknown

When dealing with the opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in 51 degrees for angle , opp = 8 and adj = x

tan(51) = 8/x

==> multiply both sides by x

xtan(51) = 8

==> divide both sides by tan(51)

x=8/tan51

plugging this into a calculator we get that x = 6.5 ( rounded )

10.

We are given:

an angle with a measure of 24 degreesthe hypotenuse which has a length of 31the side length opposite of given angle as the unknown

When dealing with the opposite and hypotenuse we use sine

We have sin = opp / hyp

==> plug in angle as 24 , opp = x and hyp = 31

sin(24) = x / 31

==> multiply both sides by 31

31sin(24) = x

plugging this into a calculator we get that x = 12.6 ( rounded )

And we are done!

Let me know if you have any doubts in the comments ! : )

A principal of $3900 is invested at 7.5% interest compounded annually how much will the investment be worth after 9 years

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3900\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &9 \end{cases} \\\\\\ A=3900\left(1+\frac{0.075}{1}\right)^{1\cdot 9}\implies A=3900(1.075)^9\implies A\approx 7477.23[/tex]

f(x) =2x^2+4x-6. g(x)=4x^3-6x^2+3 find (f+g)(x)

Answers

Answer:

=4x³-4x²+4x-3

Step-by-step explanation:

(f+g)(x)=4x³+2x²-6x²+4x-6+3

=4x³-4x²+4x-3

If x^2+y^2=13 and xy=6 then find the value of x^4+y^4

Answers

Recall that (a + b)² = a² + 2ab + b².

Let a = x² and b = y². Then

(x² + y²)² = (x²)² + 2x²y² + (y²)²

⇒   x⁴ + y⁴ = (x² + y²)² - 2 (xy)²

Given that x² + y² = 13 and xy = 6, we have

x⁴ + y⁴ = 13² - 2×6² = 97

Evaluate.
10! over
6!(12-8)!

Answers

Answer: 210

Step-by-step explanation:

      ! means, for example, 6! = 6 * 5* 4 * 3 * 2 * 1

Given:

[tex]\displaystyle \frac{10!}{6!(12-8)!}[/tex]

Subtract:

[tex]\displaystyle \frac{10!}{6!(4)!}[/tex]

Distribute:

[tex]\displaystyle \frac{10!}{6!*4!}[/tex]

Expand:

[tex]\displaystyle \frac{10 * 9 * 8 * 7 * 6 * 5* 4 * 3 * 2 * 1}{(6 * 5* 4 * 3 * 2 * 1)*(4 * 3 * 2 * 1)}[/tex]

Cancel out (6*5*4*3*2*1) in both the top and bottom as they equal 1:

[tex]\displaystyle \frac{10 * 9 * 8 * 7 }{4 * 3 * 2 * 1}[/tex]

Multiply:

[tex]\displaystyle \frac{5,040 }{24}[/tex]

Divide:

210

Solve for x. Round to nearest tenth

SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
Image above

Answers

Answer:

x ≈ 0.5

Step-by-step explanation:

using the tangent ratio in the right triangle

tan63° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{IJ}{JK}[/tex] = [tex]\frac{1}{x}[/tex] ( multiply both sides by x )

x × tan63° = 1 ( divide both sides by tan63° )

x = [tex]\frac{1}{tan63}[/tex] ≈ 0.5 ( to the nearest tenth )

Answer:

x = 0.5

Step-by-step explanation:

We can use tan Θ to find the value of x.

tan Θ = Opposite ÷ Adjacent

Let us solve it now

tan 63 = 1 ÷ x

1.9626 = 1 ÷ x

x = 1 ÷ 1.9626

x = 0.5095

x ≈ 0.5  ( nearest 10th )

please help!
[3 x 2⁵ - 13 x (-2)] + 2³
(-2² +3²) - 3
Give your answer in simplest form.​

Answers

Answer:

122x + 37

Step-by-step explanation:

hope this helps u

Answer:

[3×2⁵+13×2]+2³(-2²+3²)-3=

[3×32+26]+2³(-4+9)-3=

[96+26]+2³(5)-3=

122+40-3

162-3=

159...

note:-a×(-b)=+ab

What is the area, in square units, of the polygon shown here?

A figure in the shape of a block letter L with a vertical height of 8 units and a length of 5 units is shown. The length of the top of the L is 2 units and the height of the right side of the L is 1 unit.

14 units2

16 units2

17 units2

19 units2

Answers

The area of a 2D form is the amount of space within its perimeter. The correct option is D.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the L block will be the sum of the area of A and B. Therefore, the area can be written as,

Area of L block = Area of A + Area of B

                          = (7×2) units² + (1 × 5) units²

                          = 14units² + 5units²

                          = 19units²

Hence, the correct option is D.

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7. A triangle has an area of 20 in². If the height of the
triangle is 5 inches, find the base of the triangle.

Answers

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

in our case

baseline × 5 / 2 = 20 in²

baseline × 5 = 40

baseline = 8 in

At what rate per cent per annum will rs 6000 amount to rs 6615 in two years when interest is compounded annually?

Answers

Answer: 5%

Step-by-step explanation:

[tex]6615=6000(1+r)^{2} \\ \\ 1.1025=(1+r)^{2} \\ \\ 1.05=1+r \\ \\ r=0.05=\boxed{5\%}[/tex]

Serena bought a video game on sale for $23.88. The original price was $44.69. How much
money did Serena save buying the game on sale?

Answers

Answer:

i just need points

Step-by-step explanation:

sorrry ehburbvuygvuywhefe2b yvfb we

The answer is $20.81 I used a calculator

What is the inverse of f(x)=x^4+7 for x>0 where function g is the inverse of function f?
-

Answers

Answer:

[tex]g(x) = \sqrt[4]{x-7},~ x\geq 7[/tex]

Step by step explanation:

[tex]y= f(x) = x^4+7\\\\\text{Replace x with y and solve for y:}\\\\~~~~~~~x = y^4 +7\\\\\implies y^4 = x-7\\\\\implies y = \pm\sqrt[4]{x-7}\\\\ \implies f^{-1}(x) = \pm\sqrt[4]{x-7}[/tex]

3. Given the triangle below. Point T is the circumcenter. Point E bisects side MO. TE measures a length of 5. What is the length of MT? Round your answer to the nearest tenth.​

Answers

Answer:

6.4

Step-by-step explanation:

E bisects side MO, plot it in the center of M and O

MO is 8, split into two even parts, 4 and 4

TE is 5

set up Pythagorean theorem, 5^2 + 4^2 = x^2 to find MT

25+16=x^2

41=x^2

x=6.403

Help!! Due tomorrow. x(x − 8) = 0

Answers

Answer: x = 0, 8

Step-by-step explanation:

x = 0

x - 8 = 0 ⇒ x = 8 (move 8 to the right)

x = 0, 8

X=0 or X=8 both of these answers are correct

Please help! Giving brainlist!

Answers

It is letter av to eagle

Question 4
1 pts
in 2013, the number of rabbits in a local park is 120, but this number is decreasing
each year by a constant percent. the number of rabbits in the park t years after 2013
can be found using the given formula. about how many rabbits will be left in the park
after 10 years?
r=120(0.99)
1,188
247
1
108

Answers

After 10 years, there will be 108 rabbits left in the park.

What is Exponential Equation?

An exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Here, the given equation;

       R = 120 (0.99)ⁿ

where, n is the number of years

n = 10 years (given)

R = 120 (0.99)¹⁰

R = 120 X 0.904

R = 108.52

Thus, After 10 years, there will be 108 rabbits left in the park.

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Solving for interior angle measures, what is the m

Answers

Using the triangle sum theorem, the value of angle ACB in the triangle is: B. 50°.

What is the Triangle Sum Theorem?

According to the triangle sum theorem, the sum of all the angles in a triangle equals 180 degrees.

90 + 7x - 20 + 4x = 180

70 + 11x = 180

11x = 180 - 70

11x = 110

11x/11 = 110/11

x = 10

m∠ACB = 7x - 20

Plug in the value of x

m∠ACB = 7(10) - 20

m∠ACB = 50° (option B).

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please help me grades are do today

Answers

Answer:

28

Step-by-step explanation:

[tex]sin=\frac{opp}{hyp}[/tex]

[tex]cos = \frac{adj}{hyp}[/tex]

[tex]cos^{-1}\left(\frac{45}{51}\right)[/tex]

which is 28.07 degree

[tex]sin\left(28.07\right)=\frac{x}{51}[/tex]

x= 23.99

23.99+4=h=28

1940 people attended a basketball game. 679 of the people attending supported the home team, while 1261 supported the visiting team. What percentage of people attending supported the home team?

Answers

Answer:

35%

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The percentage of people who supported the home team is 35%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

20% = 20/100 = 1/5

25% = 25/100 = 1/4

We have,

Number of people who attended the basketball game = 1940

Number of people who supported the home team = 679

Number of people who supported the visiting team = 1261

The percentage of people who supported the home team.

= [ Number of people who supported the home team / Total number of people who attended the basketball game ] x 100

= [679 / 1940] x 100

= 67900 / 1940

= 35%

Thus,

The percentage of people who supported the home team is 35%.

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A survey found that 3 out of 100 randomly selected people have red hair. How many people in a group of 12,000 randomly selected people are likely to have red hair?

Answers

Answer:

360 people out of 1200 are likely to have red hair.

Step-by-step explanation:

So I just saw that 100 x 120 equals 1200. So I just need to multiply 3 x 120 and I got 360. I think this is how to solve?

If the perimeter of this triangle is 15 centimeters, what is the value of n?

Answers

The value of n from the triangle = 2.5

Calculation of perimeter of triangle

Perimeter of a triangle= a +b+c

Where,

a= n

b= 5n - 6

C= 2n + 1

P= 15

Therefore n

15 = n + 2n + 1 + 5n - 6

15 = 8n-5

8n= 15+5

8n = 20

n= 20/8

n= 2.5

Therefore, the value of n = 2.5

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Jenny spins a fair 4-sided spinner what is the probabiliity that the spinner will land on a or b

Answers

Answer:

Step-by-step explanation:

jenny spin a fair-4 spinner

The probability that the spinner will land on a or b will be 0.50.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Jenny spins a fair 4-sided spinner.

Let the section be marked as a, b, c, and d.

Then the total number of the event will be given as,

Total events = 4

Then the probability that the spinner will land on a or b will be given as,

P = 1/4 + 1/4

P = (1 + 1)/4

P = 2/4

P = 1/2

P = 0.50

The probability that the spinner will land on a or b will be 0.50.

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A landowner owned a three-acre plot of land in a remote location. His plot abutted a two-acre wooded property that contained an artesian spring owned by an out-of-state investor who had never developed or visited the land. Hoping to make a substantial profit by making his property sound more appealing, the landowner altered the existing deed for his three-acre plot so that the deed indicated that his parcel was five acres in size and included the wooded property with the artesian spring. A buyer offered to pay $50,000 for the five-acre parcel and expressed that $10,000 per acre was quite reasonable. The landowner accepted and signed the altered warranty deed, conveying the five acres to the buyer. The landowner mailed the deed to the buyer, and the buyer subsequently took possession of the land. However, the buyer did not record the deed. A year later, the buyer learned that the out-of-state investor held title to the two acres of property that contained the artesian spring. Is the buyer entitled to ownership of the five-acre parcel? What three primary nutrients are necessary for healthy plant growth and how can they be replenished?. The length of a rectangular dassroom floor is 19 feet less than twice its width. write an expression to represent the area of the floor in simplest form. The group responsible for the inspection and grading of meat is the. Question 1 2017 (ECZ) Wedding Celebrations should be abandoned because because they have become very expensive and meaning Less. Argue for Against this Statement. Most practical applications of integer linear programming involve mostly ordinary integer variables and a small number of 0-1 integer variables. only 0-1 integer variables and not ordinary integer variables. a near equal number of ordinary integer variables and 0-1 integer variables. only ordinary integer variables. Beethovens symphony no. 9, "Ode to joy," was hisA: First symphonyB: Last SymphonyC: Only successful Symphony Some of the following integers are prime. Compute the sum of the prime integers in the list. (a) 197 (b) 497 (c) 1111 (d) 2111 (e) 2643 (f) 3599 Which choice belongs in space 5!!! Select the correct answer.The Cohen family started their wheat farm in 1995. The equation models the number of bushels of wheat they produced each year, where tisthe number of years since 1995.C(t)= 7,000+500 In(t + 1)The Mason family also started their wheat farm in 1995. The graph models the number of bushels of wheat they produced each year, where tis the number of years since 1995.M(t) Does "Picture Yourself a Winner" ' provide an unbiased discussion that uses credible evidence and acknowledges different opinions about the practice of using mental imagery? Why or why not? Can someone explain me this please Consider a space shuttle which has a mass of about 1.0 x 105 kg and circles the Earth at an altitude of about 200.0 km. Calculate the force of gravity that the space shuttle experiencesuhm i don't understand wut to put below the formula please make it clear thank you alot 4 examples of buddhist influence in pop culture today Which phrase gives the passage from "A Visit of Charity" a mood that is lonelyand isolated? When two caldrons of soup were left out during the bombing: Eli writesthat the soup cauldrons are, "Two lambs with hundreds of wolves lying inwait for them. Two lambs without a shepherd, free for the taking" (59).What kind of figurative language it this? The book it night by Elie Wiesel Facts about parent should stop forcing their own dreams to their children Given the following function: y=x^2+10x+25 Using your knowledge of discriminants, how many solutions does this function have? A pin hole camera works on the principle that_________________________________. Do you like looking at yourself in the mirror? 300% of 7 is what percent of 42?A. 30%B. 50%C. 60%D. 12.5%