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allsm [11]
3 years ago
11

The radius of a circle is 14. Using π, which equation expresses the ratio of the circumference of the circle to the circle's dia

meter?
A)
C
14
= π
Eliminate
B)
C
28
= π
C) C =
14π
7
D) C =
r
14π
Mathematics
2 answers:
Furkat [3]3 years ago
8 0

C

28

= π

The diameter is equal to twice the radius.

C = 2πr

C = 2(14)π

C = 28π

C

28

= π

prisoha [69]3 years ago
5 0

Answer and explanation:

Given : The radius of a circle is 14.

To find : Which equation expresses the ratio of the circumference of the circle to the circle's diameter?

Solution :

The circumference of the circle is C=2\pi r

Radius is r=14

The circumference of the circle is C=2\pi\times 14=28 \pi

The circle's diameter is d=2r

The ratio of the circumference of the circle to the circle's diameter is given by,

C:d=2\pi r : 2r

C:d=\pi : 1

Therefore, option B is correct.

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Based on the information given say whether or not △ABC∼△FED. Explain your reasoning.
GalinKa [24]

Answer:

Yes, △ABC ∼ △FED by AA postulate.

Step-by-step explanation:

Given:

Two triangles ABC and FED.

m∠A = m∠B

m∠C = m∠A + 30°

m∠E = m∠F = x

m∠D = 2x-20°.

Now, let m∠A = m∠B = y

So, m∠C = m∠A + 30° = y+30

Now, sum of all interior angles of a triangle is 180°. Therefore,

m∠A + m∠B +  m∠C = 180

y+y+y+30=180\\3y=180-30\\3y=150\\y=\frac{150}{3}=50

Therefore, m∠A = 50°, m∠B = 50° and m∠C =  m∠A + 30° = 50 + 30 = 80°.

Now, consider triangle FED,

m∠D+ m∠E + m∠F = 180

2x-20+x+x=180\\4x=180+20\\4x=200\\x=\frac{200}{4}=50

Therefore,  m∠F = 50°  

m∠E = 50° and  

m∠D =  2x-20=2(50)-20=100-20=80\°

So, both the triangles have congruent corresponding angle measures.

m∠A = m∠F = 50°

m∠B = m∠E = 50°

m∠C = m∠D = 80°

Therefore, the two triangles are similar by AA postulate.

5 0
3 years ago
Help this makes no sense to me and its due in 1 day
Ganezh [65]

First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.

RT=24

Right Triangle Altitude Theorem Part: The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

The geometric mean of 32 and TS is 24, so set up equation.

2nd root or square root of 32*TS=24

32*TS=576

TS=18

QS=18+32=50

I hope this answer helped if you have any questions feel free  to ask me in the comments.

7 0
2 years ago
HELP ASAP. giving brainliest . And 20 points ! Need to know help ASAP.
antiseptic1488 [7]

Answer: 252 in

Step-by-step explanation:

8 0
3 years ago
Please help me with this for brainliest
frez [133]

Answer: B. z-311+311=151+311

Step-by-step explanation:

You do the opposite since you want to get rid of 311

8 0
3 years ago
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What's the slant height of a square pyramid with L=6 W=6 H=6
dem82 [27]
The slant height of a square pyramid with those specifications would be 6.7 units.
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