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Viefleur [7K]
3 years ago
15

Logan is getting a second dog and wants to increase the length of the play space by 3 feet and the width by 3 feet. What will be

the difference in the area, in square feet, between the original play space and the new play space?
Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer:

(3x+3y+9)\ ft^{2}

Step-by-step explanation:

Let

x------> the length of the original play space

y-----> the width of the original play space

we know that

The area of the original play space is equal to

A=xy

The area of the new play space is equal to

An=(x+3)(y+3)\\An=xy+3x+3y+9

Find the difference

An-A=(xy+3x+3y+9)-(xy)\\An-A= (3x+3y+9)\ ft^{2}

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Oliga [24]
For this case we have that the weight of the bouquet of flowers will be:
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 4.1 * 10 ^ 4 miligrams
 Thus, we have that the values of p and q are given by:
 p = 4.1
 q = 4
 Answer:
 
4.1 * 10 ^ 4 miligrams
 
p = 4.1
 
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8 0
3 years ago
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sergij07 [2.7K]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
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antoniya [11.8K]

Answer:

0.62

Step-by-step explanation:

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5 0
3 years ago
What is the surface area of the prism in square inches?
Kay [80]

<u>Given</u>:

Given that the triangular prism with height 10 inches.

The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.

We need to determine the surface area of the prism.

<u>Surface area of the prism:</u>

The surface area of the prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base and h is the height of the triangle.

s₁, s₂, s₃ are the side lengths of the triangle and

H is the height of the prism.

Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;

SA=(12)(5)+(12+5+13)(10)

SA=60+(30)(10)

SA=60+300

SA=360 \ in^2

Thus, the surface area of the triangular prism is 360 square inches.

Hence, Option b is the correct answer.

8 0
3 years ago
A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? E
Triss [41]

Answer:

The volume of cylinder is:

49806.06 ft^3

Step-by-step explanation:

We are given a right circular cylinder with:

Height(h)=22\frac{1}{4}ft=\dfrac{89}{4}ft

and a diameter is 2\frac{2}{5} times it's height.

i.e. \dfrac{12}{5} times it height.

i.e. the diameter is given as:

\dfrac{12}{5}\times \dfrac{89}{4}=\dfrac{267}{5}ft.

We know that the radius of cylinder is half the diameter.

Hence, radius(r) of cylinder is:

\dfrac{1}{2}\times \dfrac{267}{5}\\\\=\dfrac{267}{10}

The volume(V) of cylinder is given by:

V=\pi r^2h

V=3.14\times (\dfrac{267}{10})^2\times \dfrac{89}{4}\\\\V=\dfrac{19922423.94}{400}\\\\V=49806.06ft^3

Hence, the volume of cylinder is:

49806.06 ft^3

7 0
3 years ago
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