Karl needs to build a stage that has an area of 90 square feet. The length of the stage should be longer than the width. What are the possible whole-number measurements for the length and width of the stage?

Answers

Answer 1

Answer:It is 154 square inches. and 38 width

Step-by-step explanation:

Answer 2

Answer:

{5 ft, 18 ft}, {1 ft, 90 ft}, {9 ft, 10 ft}

Step-by-step explanation:

Represent the length and width by L and W respectively.

Then one requirement may be expressed as L > W.

The other requirement is L * W = 90 ft^2.

Let's temporarily replace W in this equation with L:

L^2 = 90 ft^2, so that L must be the positive square root of 90 ft^2:

L = √(90 ft^2) ≈ 9.5

Since L must be greater than W, we can write L > 9.5 ft.  The nearest integer L would be 10, in which case the nearest integer W would be 9, which means that the area of the stage would be 90 ft^2 (as required).

{9 ft, 10 ft} are possible whole number measurements for L and W.  Here W < L, as required, and L and W are both integers.

{5 ft, 18 ft} is another possible set of measurements.

So is {1 ft, 90 ft}.


Related Questions

-4x – y = 24
Complete the missing value in the solution to the equation.

Answers

Answer:

x = -5

y = 1

Step-by-step explanation:

-4(-5)-1=24

25-1=24

24=24

Answer: x= -6, y= 6

Step-by-step explanation:

10.) Your dad is planning to increase the area of your rectangular patio. Your current patio is 8
feet by 10 feet, and your dad plans to double its area by adding the same amount x to its length
and width. Find the value of x, and the new dimensions of the patio.

Answers

Answer:

x = 3.69 feet

11.69 x 13.69 feet

Step-by-step explanation:

new area = (8 x 10) x 2 = 160

(8 + x)(10 + x) = 160

80 + 8x + 10x + x² = 160

combine like terms:

x² + 18x - 80 = 0

factor:

(x - 3.69)(x + 21.69) = 0

x = 3.69

Answer:

x = 3.69 feet

11.69 x 13.69 feet

new area = (8 x 10) x 2 = 160

(8 + x)(10 + x) = 160

80 + 8x + 10x + x² = 160

combine like terms:

x² + 18x - 80 = 0

factor:

(x - 3.69)(x + 21.69) = 0

x = 3.69

2t + 1 + 6 + 4t = 55
show your work

Answers

combine like terms, 1+6 is 7 and 2t+4t is 6t. so 6t+7=55. get the t by itself by subtracting 7 from both sides. 6t=48, divide by 6. t=8

Answer:

I'm assuming you are trying to get t alone so t=8

Step-by-step explanation:

2t+1+6+4t=55

simplify

6t+7=55

subtract 7 from both sides

6t=48

t=8

Which expression can be used to find the area of the composite figure? o 4x O 2x+ 2x2 O x2 + 2x O 32​

Answers

Answer:D

Step-by-step explanation:

In an isosceles triangle, one of the equal interior angles is equal to the adjacent exterior
angle divided by 5. What are the values of the 3 interior angles in the triangle? Make sure
to draw and label a sketch of the triangle.

Answers

Answer:

Step-by-step explanation:

can you show a picture?

I need help question in picture

Answers

Answer:

I think it is    4/3

Step-by-step explanation:

find the domain and range of f(x)= 2|x+2|-8​

Answers

Answer:

Domain (-∞,∞)

Range: [-8,∞)

5x 4 1/2 Answer with a mixed number in simplest form.

Answers

Answer:

22 1/2

Step-by-step explanation:

[tex]5x4\frac{1}{2} =\frac{9}{2} x\frac{5}{1} = \frac{45}{2} = 22\frac{1}{2}[/tex]

What is the area of this figure?

Enter your answer in the box.

Answers

Answer:

i cant see the pic

Step-by-step explanation:

Answer:

532 m

Step-by-step explanation:

18 x 18 = 324

1/2(16)(18) = 144

1/2(8)(16) = 64

324 + 144 + 64 = 532

What is the area of a trapezoid with base lengths 5 in and 10 in and a height of 4 in?

Answers

Answer:

A= 30 in^2

Step-by-step explanation:

A=a+b/2×h

A=5+10/2×4

A=30 in^2

The numbers of cookies in a shipment of bags are normally distributed, with a mean of 64
and a standard deviation of 4. What percent of bags of cookies will contain between 60
and 68 cookies?

Answers

Answer:

68% i think yeah?

The percent of bags of cookies will contain between 60 and 68 cookies is 68.29%.

What is standard deviation?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

[tex]\mu[/tex]= 64,   [tex]\sigma[/tex]= 4,

[tex]Z_1[/tex]= [tex]X_1[/tex] - [tex]\mu[/tex]/  [tex]\sigma[/tex]

  = 60-64/4

  = -1

again,

[tex]Z_2[/tex]= [tex]X_2[/tex] - [tex]\mu[/tex]/  [tex]\sigma[/tex]

  = 68-64/4

  = 1

Thus, P( 60<X<68)

= p(-1<Z<1)

= 0.6829

= 68.29%

Learn more about standard deviation here:

https://brainly.com/question/16555520

#SPJ2

Quadratic functions g(x) and h(x) are graphed on the same coordinate grid. The vertex of the grid of h(x) is 12 units above the vertex of graph g(x). Which pair of functions could have been used to create the graphs of g(x) and h(x)?
A. h(x)=x^2−12 and g(x) = x^2
B. h(x)=(x+12)^2 and g(x) = x^2
C. h(x)=x^2+12 and g(x) = x^2
D. h(x)=(x−12)^2 and g(x) = x^2

Answers

Answer:

Step-by-step explanation:

The answer is h(x) = ^2 + 12 and g (x) = ^2

What is the greatest common factor of 32, 44, and 48?

Answers

Answer:

4

Step-by-step explanation:

Which of the following angle measurements would you find in an equilateral triangle?
A. 45°, 45°, 45°
B. 45°, 45°, 90°
C. 50°, 50°, 50°
D. 60°, 60°, 60°

Answers

Answer:

D. 60, 60, 60

Step-by-step explanation:

In an equilateral triangle, all sides are equal and equal to 180 when added together. because 60×3 is equal to 180, D is the right answer. I hope this helps you!

The angle measurements found in an equilateral triangle are 60°, 60°, 60°

What is an Equilateral Triangle?

An equilateral triangle is an angle that has equal angles and equal sides. It implies that all the sides of the angle contain the same length.

We can also say that an equilateral triangle is also equiangular since it has equal angles. If we recall, we know that the sum of angles in a triangle is 180°.

For a triangle with equal sides, it implies that each length will possess;

= 180°/3

= 60° each.

Learn more about equilateral triangles here:

https://brainly.com/question/17264112

plz help me my teacher dosent like this app plz

Answers

Answer:

Second Choice

Step-by-step explanation:

If you need to know the total number of points earned from touchdowns (p) then you would multiply the number of touchdowns (n) by 6.

Hope this helped

Answer:

B,

Step-by-step explanation:

It is B because you would be multiplying 6, by __ or p, which represents unknown number of touchdowns.

Hope this helped! Have a great day!

1.
Is the relation {(1, 3), (–4, 0), (3, 1), (0, 4), (2, 3)} a function? Why or why not?

A. No, there is no value in the domain that corresponds to more than one value of the range.

B. Yes, the range value 3 corresponds to two domain values, 1 and 2.

C. No, the range value 3 corresponds to two domain values, 1 and 2.

D. Yes, there is no value in the domain that corresponds to more than one value of the range.

Answers

Answer:  I'm gonna go with letter A

Is the relation {(1, 3), (–4, 0), (3, 1), (0, 4), (2, 3)} a function? Why or why not? No, the range value 3 corresponds to two domain values, 1 and 2. ... No, there is no value in the domain that corresponds to more than one value of the range.  Jun 13, 2017

Step-by-step explanation:  The answer is either letter B or letter D.

Determine if the relation is a function.

The relation is a function.

Answer:

D

Step-by-step explanation:

We say a relation between two sets is a function if every value in the first set (the domain) corresponds to exactly one value in the second (the range). This doesn't mean we can't have two different domain values pointing to the same range value, but it does mean we can't have on domain value pointing to two different range values.

Our relation here is a function, since each domain value only points to one range value, so our answer is D.

Plz help ill give brainliestttt

Answers

The 3rd multiple choice answer

Answer:

y=25x - 300

Step-by-step explanation:

she earns 25 dollars for each hour she works and then subtract the amount of money she has to pay for rent and that's how much she makes

Add 1/8 + 1/4 + 1/2.

Answers

I think it’s 0.875 I could be wrong tho but I’m sure

1/8 + 1/4 + 1/2 =

= 1/8 + 2/8 + 4/8 = 7/8

Which of the following can be useful when finding the value of a variable

check all that apply

A. Drawing a diagram

B. Drawing a graph

C. Reading a table

D. Writing an equation

Answers

Answer:

drawin a diagram?

Step-by-step explanation:

Answer:

all of them

Step-by-step explanation:

George and carmen went on a bicycle trip. They took a bus to their starting point, and then biked the rest. They traveled 350 miles in total, and they biked 80 kilometers more than they were bused.

Answers

Complete question − How many kilometres did they travel by bus and by bicycle.

Answer:George and carmen traveled by bus in 135km and by bikein 215km

Step-by-step explanation:

Total Miles traveled  =   350 miles  

Let Number of kilometres they traveled with bus  = x

and Let Number of kilometres they traveled with bike = x + 80

so that the total distance traveled with bus and bike be expressed as

x + x + 80 =   350 miles  

2x + 80 =   350 miles  

2x =   350 − 80

2x =270

x=135

George and Carmen traveled by bus in 135km  

and by bicycle=x + 80 = 135 km + 80 =215km

Find the perimeter of A ABC. If necessary, round to the nearest tenth.

Answers

Answer:

37.6

Step-by-step explanation:

A to B - just count up the numbers, it's 10

B to C - just count up the numbers, it's 12

A to C - Now this is a right triangle, so use the Pythagorean theorem(10^2 + 12^2 = 244, and take the square root of that, which is 15.62 and round to 15.6

And just add them together 10+12+15.6 to get 37.6

Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each triangle?
A) BC/AB=CD/DE
B) BC/AB=DE/CD
C) AB/BC=CD/DE
D) AB/BC=DE/CD​

Answers

Answer:

it would be

Step-by-step explanation:

I do not think you need an explanation but if so just comment

can you please help and I need help fast ​

Answers

Answer:

A

Step-by-step explanation:

He borrowed money so he has -5 dollars and but he payed 2 back, so now he   needs to pay $3

if i am correct, the answer is A

For each of the following regular polygons, find: a) the sum of the interior angles, b) the measure of each interior angle, c) the sum of the exterior angles, and d) the measure of each exterior angle. Round answers to the nearest hundredth if necessary.

Answers

Answer:

wish i culd help

Step-by-step explanation:

The soccer net in Peter's back yard is 5 1/2 feet high, but only 4 feet wide. Jill's soccer net is also 5 1/2 feet high, but is 12 feet wide. How many times larger is the area of Jill's soccer net? Explain how you know.

Answers

Answer:

it is 3 times larger

I know because i found the area of Peter and Jill's net and divided the area of Jills net by peters net

Step-by-step explanation:

Area = height x width

Area pf soccer net in Peter's back yard = 51/2 x 4 = 22 feet^2

Area of jill's soccer net = 51/2 x 16 = 66 feet squre

difference in area = 66/22 = 3

Answer:

Step-by-step explanation:

it is 3 times larger

I know because i found the area of Peter and Jill's net and divided the area of Jills net by peters net

Step-by-step explanation:

Area = height x width

Area pf soccer net in Peter's back yard = 51/2 x 4 = 22 feet^2

Area of jill's soccer net = 51/2 x 16 = 66 feet squre

difference in area = 66/22 = 3

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

24

Step-by-step explanation:

Use the pythagorean theorem.

What is -10 (b-9) please​

Answers

Multiply -10 and b, and -10 and -9.

A negative and a positive equal a negative, but a negative and a negative equal a positive.

-10b+90

---

hope it helps

-10(b - 9)        distribute by multiply -10 × b = -10b and -10 × -9 = 90

-10b + 90, final answer

Marco's goal is to eat only 2000 calories each day. One day for breakfast he consumed 310 calories, for lunch he consumed 200 more calories then breakfast, and for dinner he consumed 800. Did he make his goal? Explain

Answers

Answer:

no

he consumed only 1620 calories

Step-by-step explanation:

WE HAVE TO FIND THE SUM OF THE TOTAL CALORY

CALORIES CONSUMED IN THE MORNING = 310

CALORIES CONSUMED IN THE AFTERNOON = 310 + 200 = 510

CALORIES CONSUMED IN THE NIGHT = 800

Sum = 1620

he didn't reach is goal because he consumed only 1620 calories which is less than 2000

Erin buys a bag of peanuts that weighs 3/4 of a pound. Later that week, the bag is 2/3 full. How much does the bag of peanuts weigh now? There may be more than one correct answer.

Answers

Answer:

1/2 pound

Step-by-step explanation:

3/4 x 2/3 = 6/12 = 1/2 pound

All 50 digits of pi.
(Giving brainliest to first correct answer.)

I’m trying to figure out how this thing works. I’ve never asked a question.

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510

Step-by-step explanation:

Step-by-step explanation:

172738192739q0wiw7uqsjs

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