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julia-pushkina [17]
2 years ago
12

Find the area of the shape. Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.

Mathematics
1 answer:
Darya [45]2 years ago
6 0

Answer:

314

Step-by-step explanation:

First, find the diameter which is 10 and square it. Then, multiply by pi or 3.14 to get 314.

(IF THIS HELPED PLEASE GIVE BRAINLIEST!)

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A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept f
krek1111 [17]

Answer:

0.128rad/sec

Step-by-step explanation:

Let x represent the between the man and the point on the path

θ = the angle

dx/dt = 4 ft/s

dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight

tan θ = x/20 ft

Cross Multiply

20tan θ = x

dx/dt = 20sec² θ dθ/dt

dθ/dt = 1/20 × cos² θ dx/dt

dθ/dt= 1/20 × cos² θ × 4

dθ/dt = 1/5 × cos² θ

Note : cos θ = 4/5

dθ/dt = 1/5 × (4/5)²

dθ/dt = 16/125

dθ/dt = 0.128rad/sec

6 0
3 years ago
Diameter=14.6 <br> round to nearest tenth
grandymaker [24]

The next greater tenth is  14.7
The next smaller tenth is  14.5

Neither of them is nearer to 14.6 than 14.6 already is.
So 14.6 is already the nearest tenth.


4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=12x%20%5E%7B2%7D%20%20%2B%204x%20%2B%2020" id="TexFormula1" title="12x ^{2} + 4x + 20" alt="1
Nesterboy [21]
<h3>Answer: </h3>

The GCF is 4

The polynomial factors to 4(3x^2+x+5)

==========================================================

Further explanation:

Ignore the x terms

We're looking for the GCF of 12, 4 and 20

Factor each to their prime factorization. It might help to do a factor tree, but this is optional.

  • 12 = 2*2*3
  • 4 = 2*2
  • 20 = 2*2*5

Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.

We can then factor like so

12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.

The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).

4 0
2 years ago
A bakery is filling an order for 180 cupcakes. Jeff has baked and
REY [17]

Answer:

135 cupcakes

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
PLEASE HELP
lisabon 2012 [21]

Answer:

Step-by-step explanation:

5 0
3 years ago
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