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Strike441 [17]
1 year ago
12

Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangular base that has an area of 21 squar

e feet and a length that is 4 feet more than its width.
If x represents the width of the doghouse, write an equation in the given form that can be used to determine the possible dimensions of the base of the doghouse.

Mathematics
2 answers:
krok68 [10]1 year ago
5 0

The equation that can be used to determine the dimensions of the base of the doghouse is x² + 4x = 21

<h3> What is the equation?</h3>

A quadratic equation is an equation that usually has a single variable and it is raised to the power of 2.

Area of a rectangle = length x width

  • width = x
  • length = 4 + x

x (4 + x) = 21

x² + 4x = 21

To learn more about quadratic equations , please check: brainly.com/question/27696091

#SPJ1

MrMuchimi1 year ago
4 0

The equation in the given form that can be used to determine the possible dimensions of the base of the doghouse will be, 21=4x+x².

<h3>What is the area?</h3>

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

Given data;

Area of rectangular base(A) = 21 square feet

The length is 4 feet more than its width, L=4+x

If x represents the width of the doghouse

The equation in the given form can be used to determine the possible dimensions of the base of the doghouse;

Area of the rectangular base;

A= L × x

A = (4+x)x

21=4x+x²

Hence the obtained equation for the given value will be, 21=4x+x².

To learn more about the area, refer to the link;

brainly.com/question/11952845

#SPJ1

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Veronika [31]

Answer:

<h3>1) 5(7x^{2} - x + 8)</h3>

first box: 5 * 7 = 35

35 x^2

second box: 5 * -1 = -5

-5x

third box: 5 * 8 = 40

40

answer: 35x^{2} - 5x + 40

<h3>2) 2x(4x^2 + 3x + 6)</h3>

first box: 2x * 4x^2

2 * 4 = 8

x * x^2 = x^3

8x^3

second box: 2x * 3x

2 * 3 = 6

x * x = x^2

6x^2

third box: 2x * 6

2 * 6 = 12

12x

answer: 8x^3 + 6x^2 + 12x

<h3>3) (tp + 5)(4p - 6)</h3>

top left box: tp * 4p

p * p = p^2

4tp^{2}

top right box: tp * - 6

-6tp

bottom left box: 5 * 4p

5 * 4 = 20

20p

bottom right box: 5 * - 6

5 * -6 = -11

-11

answer: 4tp^2 - 6tp + 20p - 11

<h3>4) (4a - 8)(8a - 1)</h3>

top left box: 4a * 8a

4 * 8 = 32

a * a = a^2

32a^2

top right box: 4a * -1

4 * -1 = -4

-4a

bottom left box: -8 * 8a

-8 * 8 = -64

-64a

bottom right box: -8 * - 1

-8 * - 1 = 8

8

32a^2 - 4a - 64a + 8

<em>combine like terms</em>

32a^2 - 68a + 8 = answer

4 0
3 years ago
Hilary want to fill a mini cake pan with batter to make a mini cake for Philip's party. The cake pan is 4.0 inches long, 9.0 inc
Sophie [7]
The formula to solve for the volume (V) of a rectangular prism is,

                                           V = L x W x H

where L is the length, W is width, and H the height or depth.

Substituting the known dimensions on the equation above,
 
                             V = (4 in) x (9 in) x (2.2 in) = 79.2 in^3

Thus, the volume of the cake pan is 79.2 in^3.



3 0
3 years ago
A hemisphere fake stone made of clay has a diameter of 16 inches. The density of clay is 0.0035 pounds per cubic inch. The clay
Rufina [12.5K]

Answer:

$137.82

Step-by-step explanation:

The volume of a hemisphere stone is given by the volume of a half-sphere:

Volume = (2/3) * pi * radius^3

If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:

Volume = (2/3) * pi * 8^3 = 1072.33 in3

We need a total of 8 stones, so the total volume is:

Total Volume = 8 * 1072.33 = 8578.64 in3

The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:

Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds

Finally, if the price of each pound of clay if $4,59, the final price is:

Price = 30.0252 * 4.59 = $137.82

8 0
3 years ago
Q and R are independent events. If P(Q)= 1/8 and P(R)=2/5 find P(Q and R).
Dafna11 [192]
Answer: 1/20
To find P(Q and R), you have to multiply P(Q) by P(R) to get the probability that both events will occur. P(Q) = 1/8, and P(R) = 2/5, so when multiplied together, you get 2/40. This simplifies to 1/20, meaning P(Q and R) = 1/20.
3 0
3 years ago
find the area of a parrellelogram whose base is of length 25 cm and the corresponding altitude is of length 8.4 cm​
Free_Kalibri [48]

Answer:

Check the above photo and do the sum

6 0
2 years ago
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