The length of a rectangle is 2 more than twice the width. The perimeter is 76 feet. Find the length and width of the rectangle.

Answers

Answer 1

Answer: so we can set x= width
2x+2 = length
so 2(x)+2(2x+2)= 76
so that will give us 2x+4x+4=76
6x=72
x=12
so 12 is width and 26 is length

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A truck rental company rents a moving truck for one day by charging $29 plus 0.07 per mile.(a) Write a linear model that represents the cost based on the numbers of miles driven in a day.(b) What is the cost of renting the truck has driven 230 miles?

The figures in the pair are similar. Find the missing length.

Answers

Answer:

c. 9 cm

Step-by-step explanation:

4*1.5=6

6*1.5=9

y=9

If one of the zeros of 3x^2+5x+γ=0 is 4 times the other, then find the zero and value of k

Answers

Answer:

Step-by-step explanation:

Let α be one of the zeros of the polynomial.

Other = 4α

α + 4α = - Coefficient of x / Coefficient of x² = -5/3

5α = -5/3

α = -5/3*5

α = -1/3

α * 4α = Constant term/Coefficient of x²

4α² = k / 3

$4*((-1)/(3))^(2)=(k)/(3)\n\n4*(1)/(9)=(k)/(3)\n\n4*(1)/(9)*3=k\n\n4*(1)/(3)=k\n\nk=(4)/(3)$

The circumference of a circle is 19π in. What is the area, in square inches? Express your answer in terms of π.

Answers

Answer:

A = 90.25 pi in^2

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

19pi = 2*pi*r

Divide each side by 2 pi

19pi / 2 pi = 2*pi*r/ 2pi

9.5 = r

The area is given by

A = pi r^2

A = pi ( 9.5)^2

A = 90.25 pi in^2

Answer:

The area of circle is 90.25 π inches².

Step-by-step explanation:

Given:-

Circumference of circle is 19 π in.

To Find :-

Area of circle

Solution :-

Firstly, we need to find radius of circle

Using formula

Circumference of circle = 2 π r

substitute the value

19 π inches = 2 π r

Divide each side by 2 π

19 π inches / 2 π = 2 π r / 2 π

9.5 inches = r

Now, Finding the area of circle

Using formula

Area of circle = π × r²

Where,

r, radius of circle = 9.5 inches

Substitute the values

Area of circle = π × ( 9.5 inches)²

Evaluate the exponent

Area of circle = π × 90.25 inches ²

multiply ,we get

Area of circle = 90.25 inches²

Hence, the area of circle is 90.25 π inches².

Pablo folds a straw into a triangle with side lengths of 4x2 – 3 inches, 4x2 – 2 inches, and 4x2 – 1 inches. The perimeter of the triangle is 12x2 – 6 inches. If x = 1.5, what was the length of the straw before it was folded?

Answers

The perimeter is the sum of the lengths of the traingle. So,
P = 12x2 - 6
Plugging in the given value of x,
P = 12 (1.5)^2 - 6
P = 21 inches

Assuming that the ends of the straw are not overlapping in forming the triangle, the perimeter is just equal to the original length of the straw.

PLEASE HELP ME THANK YOU SO MUCH!How far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40,000 square miles? Write your answer as a whole number.
IM MARKING BRAINLIEST!! :D

Answers

Answer:

About 113 miles away.

Step-by-step explanation:

πr^2=40000

40000/π=12732.3954.

sqrt of 12732.3954 is 112.837916 which is about 113

What is the answer to this problem? 7.5/12=4.2/x

Answers

Answer:

x = 67.2

Step-by-step explanation:

7.5/12 = 4.2/x

First, divide 7.5 by 12.

0.625 = 42/x

Next, multiply both sides by x

0.625x = 42

Next, divide by 0.625

x = 67.2

There's your answer!

Answer:

Answer is 6.720

Step-by-step explanation:

x = 168/25 = 6.720

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