Answer: 14
Step-by-step explanation: The Pythagorean Theorem states that a^2 + b^2 = c^2, where a=leg one, b=leg two, and c=hypotenuse. Using this, our formula will be 12^2 + 7^2. Twelve squared is 144, and seven squared is 49. Added together, the sum is 193. To change this to an unsquared form we must square root it. [tex]\sqrt{193}[/tex] equals about 13.89. Fourteen if you round up to the nearest whole number. But just a warning, I don't know what place you are supposed to round to so you may have to use the underlined value instead.
Answer:
Using pythagoras theorem : hypotenuse² = opp² + adj ²
: hyp² = 12² + 7²
hyp² = 193
therefore hypotenuse = root of 193
Hope it helps
A traveler pulls a suitcase, as shown in the figure.
The force acting on the handle is 30 N at an angle of θ = 40°. How much work is done if the traveler moves 120 meters? Round to the nearest whole number.
2,314 Nm
2,758 Nm
3,085 Nm
4,156 Nm
&
A cart weighing 180 pounds rests on an incline at an angle of 35°. What is the required force to keep the cart at rest? Round to the thousandths place.
77.073 pounds
103.244 pounds
147.447 pounds
162.665 pounds
Answer:
2758 Nm
Step-by-step explanation
Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.
We usually find component using cos θ.
Here θ is 40°
Now, the modified equation becomes,
Work Done = Force * Distance * Component of force along the direction of distance
∴ Work = 30 N * 120 m * Cos 40°
⇒Work = 30 * 120 * 0.766
⇒Work = 2757.6 Nm
Rounding to the nearest whole number.
∴ The work done by force is 2758 Nm which is option B
The amount of work done will be 2758 Nm. Then the correct option is B. And the required force to keep the cart at rest will be 147.447 pounds. Then the correct option is C.
What is work done?The product of the force and displacement.
WD = F × d × cos θ
A traveler pulls a suitcase, as shown in the figure.
The force acting on the handle is 30 N at an angle of θ = 40°.
Then the amount of work done if the traveler moves 120 meters will be
WD = 30 × 120 × cos 40°
WD = 30 × 120 × 0.766
WD = 2758 Nm
Then the correct option is B.
A cart weighing 180 pounds rests on an incline at an angle of 35°.
The required force to keep the cart at rest will be
Fₓ = F × cos θ
Fₓ = 180 × cos 35°
Fₓ = 147.447 pounds
Then the correct option is C.
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The diameter of a circle is 34 inches. What is the circle's circumference?
Answer:
Hello!!!
34pi or 106.81
Please read the explanation... it always helps... i promise...
Step-by-step explanation:
Alrighty the circle circumference states that... c = 2r pi
we need to find the radius which is always half of the diameter.... so 34/2=17
the radius is 17... now all we have to do is substitute 17 into the circumference formula...
(2)17 pi = 34pi OR 106.81
or you can do Diameter multiplied by pi since the diameter is basically the radius multiplied by two... there are multiple ways you could approach this problem...
i hope this helps!!!!!!!
The circumference of the circle is approximately 106.96 inches.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
The circumference C of a circle with diameter d is given by the formula:
C = πd
Substituting the given value of diameter, we get:
C = π(34) = 34π
Using an approximation of π as 3.14, we can calculate the approximate circumference as:
C = 34 × 3.14 = 106.96 inches
Therefore,
The circumference of the circle is approximately 106.96 inches.
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Given the system below:
f(x) = 2x
g(x) = 2x
Which value(s) of x make f(x) = g(x) a true statement? If necessary, you may choose more than one
answer.
1
4
3
2
9
0
All real numbers
1. f(x) = 2x
2. g(x) = 2x
Substitute g(x) to the 2x in the first statement.
You'll get: f(x) = g(x)
Therefore, x ∈ all real numbers (any value of x would make it a true statement)
label the quadrants IV
Answer:
Quadrant IV is always in the bottom right corner.
Convert the improper fraction to a mixed number 17/3
Answer:
5 and 2/3
Step-by-step explanation:
17/3 = 17 - 3 = 14
1
14 - 3 = 11
2
11 - 3 = 8
3
8 - 3 = 5
4
5 - 3 = 2
5
So it’s 5 2/3
I was confused on how to write the quadratic in standard form
Answer:
3x² + 4x + 8 = 0
Step-by-step explanation:
Standard form of quadratic equation is
ax²+bx+c=0
standard form of quadratic equation 3x²+4x+7=-1 is
3x² + 4x + 7 = -1
3x² + 4x + 7 + 1 = 0
3x² + 4x + 8 = 0
What ordered pair is a solution to
{2y=4x-10}
{-y=4x-1}
This is geometry but I forgot how to do the equations
Answer:
Step-by-step explanation:
Those are the special triangles 45-45-90 and 30-60-90
6. y = 5 and x = 5sqrt(2)
7. y= 8 and x = 8sqrt(3)
8. x = 10sqrt(2)
What does this graph show
inverse
direct
neither
Answer:
i think the given graph is inverse
Students must purchase a ticket to attend the show. the committee wants to
have $500 remaining from ticket sales, after paying for equipment, lighting,
and costumes.
the tickets will cost $5.60 for each ticket, and the committee expects to sell
as many tickets as there are seats available.
what is the greatest amount of money, in dollars, the committee can spend
on equipment and costumes?
Answer:
The total number of seats is also needed to answer the question.
Step-by-step explanation:
For example, if there were 100 seats the committee would make $560 in all, therefore having $60 to spend on equipment and costumes.
The diameter of a circle has endpoints (13,10) and (5,16) Part A: Find the center of the circle Part B: Find the distance of the radius Part C: Write the equation of the circle.
Answer:
See below ~
Step-by-step explanation:
Part A : Center
Midpoint of diameter pointsM = (13 + 5 / 2, 10 + 16 / 2)M = (9, 13)Part B : Radius
Half of the distance between the points16 - 10 / 26/2radius = 3Part C : Equation
(x - 9)² + (y - 13)² = 3²x² - 18x + 81 + y² - 26y + 169 = 9x² - 18x + y² - 26y + 241 = 0Pick the geometric term that matches the real-world object. cylinder cube sphere triangular prism rectangular prism
Answer:
cylinder
Step-by-step explanation:
A mascara tube is a cylinder
HELP PELASE ILL MARK BRAINLIEST AND POINTS!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Both the given lines in graph intersect at point (5 , -2), the point must satisfy both the equations.
and if we check the options, we will observe that D. option has both the equations that satisfy the given conditions.
that is ~
[tex]\qquad \sf \dashrightarrow \: x + y = 3[/tex]
put y = - 2,we will get :
[tex]\qquad \sf \dashrightarrow \: x - 2 = 3[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 5[/tex]
so, 1st equation satifys the condition. let's check out 2nd one.
[tex]\qquad \sf \dashrightarrow \: x + 2y = 1[/tex]
put y = -2
[tex]\qquad \sf \dashrightarrow \: x + (2 \times - 2) = 1[/tex]
[tex]\qquad \sf \dashrightarrow \: x - 4 = 1[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 5[/tex]
Hence, we can conclude that the Correct choice is D
You deposit # 100 in a savings account that earns 6% annual interest compounded monthly. What
the balance after 5 years.
Answer:
$134.89.
Step-by-step explanation:
Monthly interest = 0.06/12 and its for 5*12 months.
Amount after 5 years = 100(1 + 0.06/12)^(5*12)
= 100(1 + 0.06/12)^60
= $134.89
How many 90° turns will the minute hand make between 9:00 and 10:00?
Answer:
It will make 4 90° turns, because each 1/4 turn or 15 minutes is 90°.
A polygon GHIJ is inscribed in a circle. If m angle G H I equals 72 degree and m angle H I J equals 60 degree, what is m angle I J G?
A circle with an inscribed polygon G H I J.
m angle I J G equals _(blank)_ degree
The measure of angle IJG in the inscribed quadrilateral is calculated as: 110°.
What are the Opposite Angles of an Inscribed Quadrilateral?The opposite angles in a inscribed quadrilateral in a circle are said to be equal to 180 degrees, that is, they are supplementary.
angle IJG and angle GHI are opposite angles, therefore:
Angle IJG = 180 - angle GHI
Angle IJG = 180 - 70
Angle IJG = 110°
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Help me I can’t seem to figure this one out
Answer:
See below
Step-by-step explanation:
Expand it a bit to see:
= [tex]\sqrt[5]{ 2^5 * 7 * x^5 * x^5 * x * y^5 * y^3}[/tex]
=[tex]2x^2y \sqrt[5]{7xy^3}[/tex]
What two operations would you use to solve the equation 5x - 8=-18
-multiplication
-division
-addition
-subtraction
Answer:
subtraction
Step-by-step explanation:
5x-8+8=-18+8
5x=-10
5x/5=-10/5
x=-2
Answer:
addition and division
Step-by-step explanation:
5x - 8 = - 18 ( add 8 to both sides )
5x = - 10 ( divide both sides by 5 )
x = [tex]\frac{-10}{5}[/tex] = - 2
Is 3/10 equivalent to 12/20 or 5/20?
Answer:
Neither?
Step-by-step explanation:
3/10 = 0.3
12/20 = 0.6
5/20 = 0.25
I would say that its up to you what you want to put.
Sorry if it doesn't help.
If cost of 15 eggs is Rs. 75, then find out the cost of 4 dozens eggs.
a.₹ 185
b.₹ 150
c.₹ 300
d.₹ 240
Answer:
The answer is d 240. You will first find how much 1 egg costs then times 12 times 4 equal to 48 times how much 1 egg Costs equal to 240
Which of the following options have the same value as 10% of 33?
Choose 3 answers:
0.1.0.33
® 10.33
©
1
10
33
0.1.33
10
100
33
3o
Answer:
1
Step-by-step explanation:
Yo anyone from United States I gotta question
what's your question question question
What is the perimeter of the parallelogram?
Step-by-step explanation:
b×h1÷2 use this formulae
What percent of 4c in each expression? *2a
The percentage of 4c that's the expression 0.04c will be is 1%.
How to calculate the percentage?From the complete information, we are told to calculate the percentage of 0.04c from 4c.
This will be calculated thus:
= 0.04c/4c × 100
= 0.01
= 1%
Therefore, the percentage is 1%.
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Claire says that she can find the volume of any cylinder as long as she can measure the circumference and height is she correct
Answer:
Yes, she is correct. Volume of the cylinder is V = πr²h. Therefore we need height and radius to calculate the volume. Height is given and the radius can be calculated from the circumference.
Step-by-step explanation:
Volume of cylinder
[tex]V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h[/tex]
For the volume of the cylinder we need the radius of the circle and height of the cylinder. The height is already known.
We can find the radius from the circumference.
Cirumference of the circle
[tex]C = 2 \pi r[/tex]
We can get the radius from rearranging the equation.
[tex]r = \frac{C}{2 \pi}[/tex]
Since C (circumference) is known we can easily calculate the radius.
With that we have all the needed information (height and radius) to calculate the volume of the cylinder.
please do all of number 2 please help (find the angle measurements that are not given
The measures of the missing angles are as follows:
a. 145°
b. 43°
c. 36°, 36° and 144°
How to find angles when lines intersect?When two lines intersect, angle relationship can be formed. The angles can be adjacent angles, vertical angles and many more.
Therefore,
a. 180 - 35 = 145 degrees( angle on a straight line)
b. 180- 47 - 90 = 43 degrees(angles on a straight line)
c. 144 degrees (vertical angles), 36 degrees and 36 degrees(angles on a point is 36 degrees)
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Ron made 16 out of 25 baskets from the foul line. Using this data, predict the
number of baskets he will make from the foul line if he shoots 200 times?
A 64
r B. 72
C. 92
D. 128
Answer:
D. 128
Step-by-step explanation:
16 out of 25 is a 64% ratio.
Easy way to get that is there is 4 25s in 100. So do 16x4 and that's 64.
Now there is 2 100s in 200. We want out of 100 so we half it. 64 and 100.
Knowing this the answer is D. 128.
Hope this helps. Brainliest would be appreciated.
Answer:
D. 128
Step-by-step explanation:
[tex]\frac{16}{25} =\frac{x}{200}[/tex]
cross multiply:
[tex]25x = 3200[/tex]
divide both sides by 25:
x = 128
A certain species of bird is in danger of becoming extinct. There were 1500 birds in 2000 and they are
decreasing at an annual rate of 6.5%.
a) If this trend continues, how many birds will be left by 2010?
b) How many birds would there have been in 1990?
a) If this trend continues, how many birds will be left by 2010 will be 525
b) The birds would there have been in 1990 will be 2475
What is rate of increase?Rate of increase or decrease is defined as the increment or decrement in any quantity over a period of time constantly.
Here we have the data that:
There were 1500 birds in 2000 and they are decreasing at an annual rate of 6.5%.
a) If this trend continues, how many birds will be left by 2010
{1500x6.25}/{100}=97.5
So the bird decrement in the one year will be =97.5 so it will be in the 10 years or upto 2010 will be
97.5x10=975
So the birds left till 2010 will be:
Q=1500-975=525
b)The birds would there have been in 1990 will be:-
=1500+975=2475
Hence If this trend continues, how many birds will be left by 2010 will be 525.The birds would there have been in 1990 will be 2475
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9. Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of compounding periods per year, t is time, in years, and A is account balance.
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,
[tex]A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}[/tex]
Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.
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In the previous task you saw that the number of
moves to solve the Tower of Hanoi with n disks
given by the equation an -2-1.
What is the fewest number of moves required for
7 disks?
13
64
J
127
128
COMPLETE
ANSWER:127
Using the given equation, it is found that the fewest number of moves required for 7 disks is of 127.
What is the fewest number of moves needed with n disks?It is given by the following equation:
[tex]a_n = 2^n - 1[/tex]
In this problem, we have 7 disks, hence the fewest number of moves needed is given by:
[tex]a_7 = 2^7 - 1 = 127[/tex]
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Answer:
127
Step-by-step explanation: