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Vesna [10]
3 years ago
14

The first side of a triangle measures 3 in. less than the second side, the third side is 2 in. more than the first side, and the

perimeter is 20 in. Set up an equation that relates the sides of the triangles in terms of the perimeter of the triangle.
Mathematics
1 answer:
Debora [2.8K]3 years ago
5 0

Answer:

P = 3x - 4

Step-by-step explanation:

Side 1 = x - 3

Side 2 = x

Side 3 = 2 + (Side 1) = 2 + x - 3 = x - 1

Perimeter = 20 in

Perimeter = Side 1 + Side 2 + Side 3

Perimeter = (x - 3) + (x) + (x - 1)

Perimeter = x - 3 + x + x - 1

Perimeter = 3x - 3 - 1

Perimeter = 3x - 3 - 1

Perimeter = 3x - 4

P = 3x - 4

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A carpenter has a 6 foot long board, he wants to cut the board into pieces that are 4/5 foot long
Artyom0805 [142]
You need to divide 6 by 4/5.
6÷4/5
6 x 5/4
30/4
7 2/4 = 7 1/2 answer
5 0
3 years ago
The amount of time it takes Renee to go grocery shopping is continuous and uniformly distributed between 18.5 minutes and 40.5 m
balandron [24]

Answer:

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniformly distributed between 18.5 minutes and 40.5 minutes.

This means that a = 18.5, b = 40.5

What is the probability that it takes Renee at most 29 minutes to go grocery shopping

P(X \leq 29) = \frac{29 - 18.5}{40.5 - 18.5} = 0.4773

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

3 0
2 years ago
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(-2)?
Shkiper50 [21]

Answer:

68

Step-by-step explanation:

I'm going to assume you meant "what is the value of f(g(-2))?"

g(-2) = 5(-2) + 4 = -6

f(-6) = 8 - 10(-6) = 68

6 0
2 years ago
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli
Rudik [331]

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

Solving the equation

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

6 0
3 years ago
Read 2 more answers
[WILL MARK BRAINLIEST]
notka56 [123]

Answer:

The answer is 4 cm

Step-by-step explanation:

The answer is 4 cm because the formula for a cone is V=π r^2 h/3, and the formula for a cylinder is V=π r^2 h, and the cone's volume is V≈301.59, and, a cylinder with

r=4 and h=6 is V≈301.59

Therefore the answer is

4 cm

I hope this has satisfied you.

8 0
3 years ago
Read 2 more answers
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