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Andru [333]
2 years ago
7

the ratio of the measures of the sides of a triangle is 21:8:14 if the perimeter of the triangle is 215 feet find the length of

each side​
Mathematics
1 answer:
SOVA2 [1]2 years ago
6 0

Answer:

the 3 sides of the triangle are 105 ft, 40 ft and 70 ft.

Step-by-step explanation:

the perimeter is the sum of the 3 sides of the triangle

add the parts of the ratio 21 + 8 + 14 = 43

divide the perimeter by 43 to find the value of one part of the ratio

= 5 ft ← 1 part of the ratio, hence

21 parts = 21 × 5 = 105 ft

8 parts = 8 × 5 = 40 ft

14 parts = 14 × 5 = 70 ft

the 3 sides of the triangle are 105 ft, 40 ft and 70 ft

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A circle fits inside a semicircle of diameter 24mm
patriot [66]

Answer:

The shaded are is 113\ mm^{2}

Step-by-step explanation:

we know that

The shaded area is equal to the area of the semicircle minus the area of the circle inside the semicircle

step 1

Find the area of semicircle

The area of semicircle is equal to

A=\frac{1}{2}\pi r^{2}

where

r=24/2=12\ mm ----> the radius is half the diameter

substitute

A=\frac{1}{2}\pi(12)^{2}=72\pi\ mm^{2}

step 2

Find the area of the circle inside the semicircle

The area of circle is equal to

A=\pi r^{2}

where

r=12/2=6\ mm ---> the radius of circle inside is half the radius of semicircle

substitute

A=\pi(6)^{2}=36\pi\ mm^{2}

step 3

Find the shaded area

72\pi\ mm^{2}-36\pi\ mm^{2}=36\pi\ mm^{2}

assume

\pi=3.14

36(3.14)=113.04\ mm^{2}

3 significant figures is

113\ mm^{2}

6 0
1 year ago
How many pairs of whole numbers have a sum of 110
kap26 [50]

There are different definitions of "whole numbers".

Some define it as an integer (i.e. positive or negative) [some dictionaries]

Some define it as a non-negative integer. [most math definitions]

We will take the math definition, i.e. 0<= whole number < &infin;

To find pairs (i.e. two) whole numbers with a sum of 110, we start with

0+110=110

1+109=110

2+108=110

...

54+56=110

55+55=110

Since the next one, 56+54=110 is the same pair (54,56) as 54+56=110, we stop at 55+55=110  for a total of 56 pairs.

5 0
1 year ago
Translate this into a inequality, "The sum of twice a number and 15 is greater than 3.​
larisa [96]

Answer:

Step-by-step explanation:

2n+15>3

5 0
1 year ago
Read 2 more answers
A rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their y
Vsevolod [243]

We have been given that a rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their yard using the same fence.  Their yard is similar but has a scale factor of 8/5 times the size of  yours.

We are asked to find the length of fence that your friends should purchase.

Since the size of your friend's yard is \frac{8}{5} times your yard, so your friend should purchase \frac{8}{5} times the 319 feet.

\text{Length of fence your friend should purchase}=\frac{8}{5}\times 319\text{ ft}

\text{Length of fence your friend should purchase}=8\times 63.8\text{ ft}

\text{Length of fence your friend should purchase}=510.4\text{ ft}

Upon rounding our answer to nearest foot, we will get:

\text{Length of fence your friend should purchase}\approx 510\text{ ft}

Therefore, your friends should purchase 510 feet of fence and option C is the correct choice.

5 0
2 years ago
a national park charges $26 per adult and $16 per child for rafting down one of their two rivers. Write an algebraic expression
blondinia [14]
26a+16c would be the answer 
5 0
2 years ago
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