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mestny [16]
3 years ago
14

A) The perimeter of a rectangle is the sum of the lengths of its four sides. Write an expression for the perimeter of the rectan

gle and then evaluate when x=1/2 foot? B) The area of a rectangle is the product of its length and width. Write an expression for the area of the rectangle and then evaluate when x=1/2 feet?

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

Below

Step-by-step explanation:

The length of this triangle is 3x+1 and the width is x.

The perimeter P is:

P= 2(3x+1)+2*x

P= 6x+2+2x

P= 8x+2

Let's evaluate it when x=1/2

●1/2 =0.5

P= 8*0.5+2 =4+2= 6 ft

●●●●●●●●●●●●●●●●●●●●●●●●

The area A is:

A = (3x+1)*x

A= 3x^2 +x

Let's evaluate it when x=0.5 feet

A= 3*0.5^2 +0.5

A= 3*0.25+0.5

A= 0.75 +0.5

A= 1.25 ft^2

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turin the numbers 5x-4 6x-23 -2x+33 into a expression and them simplify the expression. PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!! ITS WO
lapo4ka [179]

Answer:

This expression is missing operators and has no meaning. If you add commas to separate the expressions, and equals signs where appropriate, then assistance can be given.

Assuming that the blank spaces between terms are meant to be plus signs, then the final answer would be 9x.

Step-by-step explanation:

To make some sense of this, let's assume that the operator between "5x-4" and "6x-23" is a plus sign, and that the minus sign on "-2x + 33" is itself the operator there.  If that is the case then this can be solved by simply grouping like terms and summing them up:

5x - 4 + 6x - 23 - 2x + 33

group like terms:

5x + 6x - 2x - 4 - 23 + 33

(5 + 6 - 2)x + (-4 - 29 + 33)

The numbers with no coefficient add up to zero:

9x + (0)

Leaving us with the final answer.

9x

3 0
3 years ago
Eight more than five times a number is negative 62.
lys-0071 [83]

5n+8 =-62

subtract 8 from each side

5n = -70

divide by 5

n = -14

5 0
3 years ago
A square pyramid and a cube have the same surface area. The length of each side of the base of the square pyramid is 10 feet. Th
Brrunno [24]

Answer:

The answer to your question is 23.2 ft

Step-by-step explanation:

Data

length square pyramid = 10 ft

width of a cube = 6 ft

height of the pyramid = ?

The surface area is equal in both figures.

Formula

Surface area of a cube = 6a²

Surface area of a square pyramid = ab + al = l x l + (l x h) /2

Process

1.- Calculate the surface area of the cube

           Ac = 6(6)² = 6(36)

                            = 216 ft²

2.- Substitute data in the square pyramid formula

           Ap = (10 x 10) + (10h)/2

3.- Equal both areas

               216 = 100 + 5h

- Solve for h

               216 - 100 = 5h

                         116 = 5h

                          h = 116 / 5

- Result

                          h = 23.2 ft                          

5 0
3 years ago
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume th
Usimov [2.4K]

Answer:

a) f(x) = \frac{1}{25.9}

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

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

The probability of finding a value between c and d is:

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

The probability of finding a value above x is:

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

The probability density function of the uniform distribution is:

f(x) = \frac{1}{b-a}

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that a = 284.7, b = 310.6.

a. Give a mathematical expression for the probability density function of driving distance.

f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

3 0
2 years ago
Hello can u help plz?
I am Lyosha [343]

Answer:

slope would be 3 or 3/1

Step-by-step explanation:

I think i'm not totally sure it could be -3 or -3/1

7 0
3 years ago
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