if the area of a rectangle is 48 square feet and the width of the rectangle is 6 feet what is the perimeter of the rectangle

Answer:

34.226

Step-by-step explanation:

10.9 ÷ 2 = 5.45

C = 2πr

2 × 5.45 × 3.14

34.226

Answer:

The area of the triangle is 351cm^2.

Step-by-step explanation:

To find the area of a triangle, the formula is (1/2) x base x height. In this case, the height would be a line that cuts straight through the center of the triangle. However, this height is not given to us. We can still find it through Pythagoras' Theorem though.

Let A be the tip of the triangle, and B and C be the points on either side of the triangle. Assuming an imaginary line that cuts the triangle in a symmetrical half, let T be the point at the end of the line, directly below point A.

Using Pythagoras' Theorem,

AB^2 = AT^2 + TB^2

AT^2 = AB^2 - TB^2

AT^2 = 30^2 - (26/2)^2

AT^2 = 30^2 - 13^2

AT =

[tex] \sqrt{ {30}^{2} - {13}^{2} } [/tex]

AT = 27.0370116692

So the length of AT is our height. We can now find the area of the triangle.

Area of triangle = (1/2) x 26cm x AT

Area of triangle = 351.4811516996

Area of triangle = 351cm^2 (To 3s.f.)

Answer:

38 degrees.

Step-by-step explanation:

Using the Cosine Rule:

11^2 = 10^2 + 17^2 - 2*10*17cos A

cos A = (11^2 - 10^2 - 17^2) / (-2*10*17)

cos A = -268/-340 = 0.788235

m < A =  37.979

The quadratic function R that correctly represents the revenue model is given by R(x) = -40x² + 640x.

To find the quadratic function R that represents the revenue, we need to multiply the ticket price x by the number of tickets sold Q(x).

Given that the number of tickets sold Q(x) is given by the linear function Q(x) = -40x + 640, the revenue R can be calculated as:

R(x) = x * Q(x)

Substitute the expression for Q(x) into the revenue equation:

R(x) = x * (-40x + 640)

Now, we'll expand the expression:

R(x) = -40x² + 640x

Thus, the quadratic function R that correctly represents the revenue model is given by R(x) = -40x² + 640x.

Learn more about quadratic function here:

https://brainly.com/question/26950024

#SPJ4

Explanation: There are four equal sections, one of which is red. So the probability of landing in the red space is 1/4.

Answer:

10000

Step-by-step explanation:

Let the number = x

Square root of x divided by 5 equals 20

√x / 5 = 20

Using cross multiplication

√x = 20 * 5

√x = 100

Take the square of both sides

(√x)² = 100²

x = 10000

Therefore, the number is 10000

Answer:

1.) 5

2.) 6

3.) 2

4.) 2

5.) 2

6.) 5

Answer:

3f + d or d +3f

Answer:

StartFraction 1 Over 45 EndFraction of a yard

Step-by-step explanation:

Length of the wooden dowel rod = 8/15 of a yard

Number of pieces = 24

What is the length of each piece of dowel rod?

Length of each piece of dowel rod = Total length of wooden dowel rod / number of pieces

= 8/15 ÷ 24

= 8/15 × 1/24

= (8*1) / (15*24)

= 8/360

= 1/45

Length of each piece of dowel rod = 1/45 of a yard

Answer:

2nd one

Step-by-step explanation:

Answer:

https://www.sketchywebsite.net/

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

you're welcome

glad to help!

Answer:

either 2^8/3^8 or 256/6561

Step-by-step explanation:

looked it up on Symbolab

Answer:

20

Step-by-step explanation:

4x5/20

Answer: The sample portion would less closely model the population proportion

Answer:

Answer is that is will less closely model to the total population.

Step-by-step explanation:

This is because there are less numbers to be chosen and will be harder to find a proper medium and mean.

Answer: it should be 9.2%

Step-by-step explanation:

The  percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]"\%"[/tex] .

Percentage [tex]=\frac{Obtained\ Number}{Total\ Number} *100[/tex]

We have,

Total number of people [tex]=750[/tex]

Number of people in the [tex]41 - 50[/tex] age group [tex]=268[/tex]

Number of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books [tex]=69[/tex]

So,

Percentage of favored the Do-It-Yourself books in the [tex]41 - 50[/tex] age group [tex]=\frac{Do-It-yourself\ 41-50\ age}{Total\ Number\ people} *100[/tex]

[tex]=\frac{69}{750} *100[/tex]

[tex]=9.2\%[/tex]

So,  the percentage of people is  [tex]9.2\%[/tex] .

Hence, we can say that the percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .

To know more about Percentage click here

https://brainly.com/question/24159063

#SPJ3

Answer:

1/10 x 1.2 is 0.12

Step-by-step explanation:

so yeeeeeeee

Answer:

C

Step-by-step explanation:

Answer:92.84

Step-by-step explanation: 39+27+13.5+13.5 because the two sides are longer than 12

The perimeter of the trapezium is 143.94 ft.

We have,

The perimeter of an isosceles trapezium can be found by adding the lengths of all four sides.

In this case, the trapezium has height = 12 ft and parallel sides of length 27 ft and 39 ft.

To find the length of the non-parallel sides we can use the Pythagorean theorem:

a² = (39 - 27/2)² + 12²

a² = 1440

a ≈ 37.95 ft

Therefore,

The perimeter of the trapezium is:

P = 27 + 39 + 2a

P ≈ 27 + 39 + 2(37.95)

P ≈ 143.9 ft

Rounding to the nearest hundredth place,

we get P ≈ 143.94 ft.

Thus,

The perimeter of the trapezium is 143.94 ft.

Learn more about trapezium here:

https://brainly.com/question/22607187

#SPJ7

Answer:

so first you would subtract the 10x from the one side so the equation now looks like

2y = -10x + 40

y = −5x + 20

im not sure if this is what you mean but this is how i interpreted it.

if right pls brainly

Answer:

b

Step-by-step explanation:

Answer:

$110,080

Step-by-step explanation:

This is an arithmetic sequence because each new term is obtained by adding $5000 to the preivous term.

The general formula for such an arithmetic series is

a(n) = $80,000 + ($5,000)(n - 1)

and so in his 23rd year Jason would make

a(23) = $80,000 + ($5,000)(23 - 1), or

$110,080

Answer:

$110,080 is the answer

Answer:

Hello There!!

Step-by-step explanation:

I think it is the second option as you use the formula for finding out the area of a triangle which is b×h/2 so 18×6=108 then divide by 2 or half it which gets the answer of 54mi^2.

hope this helps,have a great day!!

~Pinky~

Answer:

54m^2

Step-by-step explanation:

Area of triangle is base * height /2

18*6/2

108/2

54

Answer:

16

Step-by-step explanation:

Answer:

x = -13

Step-by-step explanation:

Step 1: Rearrange terms

9-2x=35

-2x+9=35

Step 2: Subtract from both sides of the equation

-2x+9-9=35-9

Step 3: Simplify

-2x+0=26

-2x=26

Step 4: Divide both sides of the equation by the same term

-2x/-2 = 26/-2

Step 5: Simplify

x = 26/-2

x=-13

Answer:

Total cost= $39

Step-by-step explanation:

Giving the following information:

At the theater, they sell a bag of popcorn for $5.50 and a drink for $3.75.

First, we will establish the total cost formula:

Total cost= 5.5p + 3.75d

p= number of bags of popcorn

d= number of drinks

Now, for 3 bags and 6 drinks:

Total cost= 5.5*3 + 3.75*6

Total cost= $39

Answer:

134217728

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: A. -6=n

Step-by-step explanation:

3(x - 2) =7x+n

3x-6=7x+n

-6=4x+n

-6=4(0)+n

-6=n