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svet-max [94.6K]
3 years ago
8

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

each side.
Mathematics
1 answer:
Anestetic [448]3 years ago
6 0

Answer:

see explanation

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

\frac{215}{43} = 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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I need the answer and explanation to how you get the answer please, please, I’m giving 30 points...
12345 [234]
Step 1 = 3.9 × 0.5 + 4 5/6 ÷ 3 3/7
Step 2 = 3.9 × 0.5 + 29/6 ÷ 24/7
Step 3 = 4.4 + 29/6 × 24/7
Step 4 = 4.4 + 29/1 × 4/7
Step 5 = 4.4 + 111/7
Step 6 =44/10 + 111/7


Step one : Write the problem
Step two : Change the mixed numbers to improper fractions
Step three : Multiplication and Division should be done first. Then simplify.
Step four : Change the division to multiplication and multiply.
Step 6 : Add the remaining fractions


Sorry i didn't know which one so i did the first one. Hope it helps you.
8 0
3 years ago
Assume that for a particular tire brand, the probability of wearing out before 30,000 miles is 0.25. For someone who buys a set
Hatshy [7]

Answer:

The probability that all will last at least 30,000 miles is 0.3164.

Step-by-step explanation:

Consider the provided information.

For a particular tire brand, the probability of wearing out before 30,000 miles is 0.25. Someone who buys a set of four of these tires,

That means the probability of not wearing out is 1-0.25 = 0.75

Now use the binomial distribution formula.

^nC_r (p^{n-r})(q^r)

Substitute p = 0.25, q=0.75, r=4 and n=4

^4C_4 (0.25)^{4-4}(0.75)^4

1 \times 0.75^4

0.3164

The probability that all will last at least 30,000 miles is 0.3164.

8 0
3 years ago
Let f(x)=3x-6. Is f one-to-one? If it is find f^-1, if not explain why.
beks73 [17]

Answer:  Yes,  \bold{f^{-1}(x)=\dfrac{x+6}{3}}

<u>Step-by-step explanation:</u>

f(x) = 3x - 6    is a line so it is a function  because

                      it passes the vertical line test

                              and the horizontal line test

To find the inverse, swap the x's and y's and solve for y

y=3x-6\\\\\\\text{Swap the x's and y's:}\qquad x=3y-6\\\\\text{Add 6 to both sides:}\qquad x+6=3y\\\\\text{Divide both sides by 3:}\qquad \dfrac{x+6}{3}=y

8 0
3 years ago
Approximately 2125 heart transplants were performed in a country in 2001. In​ 2006, the number of heart transplants in the count
professor190 [17]

Answer:

(2001, 2125),    (2006, 2360)

Step-by-step explanation:

An ordered pair refers to a pair of numbers or items in a simple and orderly manner. The order in which the items are grouped is very important. In graphs an ordered pair could be the coordinates of various points on the graph in terms of x and y, that is x and y coordinate (x,y).

From the question we are to form two ordered pair in the form (year, number of heart transplants).

to do this we simply fill out the items with their corresponding numbers where the first item is the year and second is the number of heart transplants.

in year 2001 we have   (2001, 2125)

in year 2006 we have (2006, 2360)

3 0
2 years ago
In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triang
luda_lava [24]
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS≅RS | Reflexive Property
3.) △RST ≅ △RSQ | AAS Triangle Congruence Property
3 0
2 years ago
Read 2 more answers
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