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Alinara [238K]
3 years ago
5

jacks cow is tied to a beanstalk with a piece of roe that is 15ft long.what is the exact area of the circle in which a cow can g

raze
Mathematics
1 answer:
Zarrin [17]3 years ago
4 0
The formula for the area of a circle is:

A=πr²

Since the rope is connected to the center of this circle, and reaches the end of where the cow can possibly graze, the distance of the rope is the circles radius.

r=15ft

Now we can solve for the area of the circle

A=πr²
A=π15²
A=225π ft²
or if you needed to simplify further...
A=706.86ft²

Answer=706.86ft² or 225π ft² (both are equivalent)
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Pia needs 2/3 yard of fabric to cover a bench. Which amount of fabric is greater than
Fudgin [204]

Answer:

5/6 and 7/9

Step-by-step explanation:

A and D are less than 2/3 so B and C is correct.

Hope this helps plz mark brainliest :D

6 0
3 years ago
Which of the following theorems verifies that ABC ~ STU?
Lunna [17]

Answer:

B. AA

Step-by-step explanation:

The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.

Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.

Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.

4 0
3 years ago
Solve for t and show your work in details please
disa [49]

Answer:

0t=8

Step-by-step explanation:

3t+4=12+3t

3t-3t=12-4

0t=8

5 0
3 years ago
A car manufacturer produced 5,000 cars for a limited edition model. Dealers sold all of these cars at mean price
Alona [7]

Answer:

<h3>μₓ = 36,000 dollars</h3><h3>σ ₓ= 1,000 dollars</h3><h3 /><h3>Show work:</h3>

to find μₓ = 36,000 dollars:

Look in the question, it states that the mean is $36,000.

to find σ ₓ= 1,000 dollars:

<h3>\frac{3000}{\sqrt{9} } = 1000</h3>
3 0
3 years ago
A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp
Morgarella [4.7K]

Answer:

y = 11 - 10cos(0.1\pi t)

Step-by-step explanation:

Suppose at t = 0 the person is 1m above the ground and going up

Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed

2π / 20 = 0.1π rad/s

The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.

y = h_g + d_b = h_g + R - d_c (1)

where h_g = 1 is vertical distance from the ground to the bottom of the wheel, d_b is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, d_c is the vertical distance of the person to the center of the wheel.

So solve for d_c in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R

d_c = Rcos(\theta(t)) = Rcos(\omega t) = 10cos(0.1\pi t)

Note that d_c is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.

Therefore, if we plug this into equation (1) then

y = h_g + R - d_c = 1 + 10 - 10cos(0.1\pi t) = 11 - 10cos(0.1\pi t)

7 0
3 years ago
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