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Goshia [24]
2 years ago
12

What is the circumference of the given circle in terms of

alt="\pi" align="absmiddle" class="latex-formula">?
a. 14\pi in.
b. 28\pi in.
c. 42\pi in.
d. 196\pi in.

Mathematics
2 answers:
Ilya [14]2 years ago
6 0

We have to find,

The circumference of the given circle in terms of the π.

The formula we use,

→ C = 2πr

Then we can find the circumference,

→ 2 × π × r

→ 2 × π × 14

→ 28π in.

Hence, option (b) is correct answer.

Sauron [17]2 years ago
5 0

Answer:

b. 28\pi in.

Step-by-step explanation:

circumference of a circle = 2 \pi r

whrere r is the radius of rhe circle

= 2 × \pi × 14 in.

<u>= 28 \pi in. </u>

that is option b

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Answer:

5.0 ft - 5.6 ft

Step-by-step explanation:

Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.

Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;

Tan α = opposite side length/adjacent length

Tan 40°= h/8

h= 8 tan 40° = 6.71 ft

Applying the cosine of an angle formula to find the length of the sliding side

Cosine β = adjacent length /hypotenuse

Cosine 40°= 8/ sliding side length

sliding side length = 8/cosine 40° =10.44 ft

Checking  the perimeter = 10.44 +8+6.71= 25.15 ft

This is more than the total lengths of the boards, so you need to adjust the height as;

24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft

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6 0
3 years ago
An amount was shared in the ratio 8:6:9:14:12.The largest share was56.What was the total amount shared?
lutik1710 [3]

Answer:

196

Step-by-step explanation:

Since the largest share was 56 and the largest ratio is 14, then

56 ÷ 14 = 4 ← value of 1 part of the share, thus

8 parts = 8 × 4 = 32

6 parts = 6 × 4 = 24

9 parts = 9 × 4 = 36

14 parts = 14 × 4 = 56

12 parts = 12 × 4 = 48

Total the amounts

total = 32 + 24 + 36 + 56 + 48 = 196

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Match its group with its percentage or mean Using
krok68 [10]

(1)

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(2)

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(3)

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(4)

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(6)

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% = (1/10) × 100

<em>% = </em><em>1</em><em>0</em>

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Answer:

Step-by-step explanation:

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