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NikAS [45]
4 years ago
10

The circumference of a circle is 62.8 inches.Using pi as 3.14,what is the radius.PLEASE SHOW YOUR WORK!!!!

Mathematics
1 answer:
mamaluj [8]4 years ago
7 0
The circumference of a circle - C=2 \pi r

C=62.8 \\ \\
62.8=2 \times 3.14 \times r \\
62.8=6.28r \\ \frac{62.8}{6.28}=r \\ r=10

The radius is 10 in.
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5 0
3 years ago
Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?
NikAS [45]

Answer:

C

Step-by-step explanation:

Step 1: find BC

Given Triangles ABC and ADE are similar,

\frac{AB}{AD} = \frac{BC}{DE}

BC = \frac{AB}{AD} x DE

= \frac{8}{8 + 4} x 9

= 6 cm

Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC  = 10,  you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

5 0
3 years ago
NEED HELP ASAP ON THIS QUESTION
viktelen [127]

Answer:

x = 12

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{AB}{DE} = \frac{BC}{EF} , substitute values

\frac{x}{6} = \frac{8}{4} ( cross- multiply )

4x = 48 ( divide both sides by 4 )

x = 12

5 0
3 years ago
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