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3 years ago

First answer gets brainliest

Mathematics

2 answers:

DENIUS [597]3 years ago

8 0

Answer:

$20

Step-by-step explanation:

-34 + 54 = 20

Bezzdna [24]3 years ago

4 0

Answer:

$20

Step-by-step explanation:

-34 + 54 = 20

This is because he is adding an extra $54 to the -$34 he already had.

Hope this helps, let me know if you have any questions :)

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A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe

Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

Length of the Larger Rectangle =80+2w
Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

$1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.$

6 0

3 years ago

What is the measure of the exterior angle at D?

coldgirl [10]

Answer:

360-63

=297 my guy

7 0

3 years ago

The dimensions of a rectangular garden were 5m by 12m. Each dimensions was increased by the same amount. the garden has an area

Alex_Xolod [135]

Let's say, the amount that each side was increased was "a"
so, it was 5 wide and 12 long, now it's 5+a wide and 12+a long

we know the area is 120, so whatever "a" is, we know that

(5+a)(12+a) = 120

so $\bf (5+a)(12+a) = 120\implies 60+17a+a^2=120
\\\\\\
a^2+\underline{17} a\underline{-60}=0\qquad \qquad 
\begin{cases}
20\cdot -3\implies \underline{-60}\\\\
20-3\implies \underline{17}
\end{cases}$

use those factors, solve for "a"

4 0

3 years ago

From a piece of paper, Sam cuts a rectangle with a length that is 2 inches (in.) longer than the width. He tapes a straw to the

Ksivusya [100]

Answer:

c)A cylinder with a volume of π(w³ +2w² )in³

where w represents the width of the cylinder.

Step-by-step explanation:

A cylinder with a volume of π(w³ +2w² )in³

where w represents the width of the cylinder.

The volume of a cylinder is given by V=Bh or V=πr²h

where B is the area of the base and h is the height of the cylinder.

V=πr²h-------equation1

V= π(w³ +2w² )--------- equation2

Comparing equation 1 and equation 2

πr²h=π(w³ +2w² )

r²h=(w³ +2w² )

r²h= w²(w +2 )

Taking w² common leaves w+2 which gives the height or length of the cylinder.

Therefore radius = width and height = length which gives the volume of the cylinder.

8 0

3 years ago

Rewrite the set T = { 5a + 2b; a,b belong Z} as a list of its elements

Mamont248 [21]

Answer:

T={...,-3,-2,-1,0,1,2,3,4,....}

Step-by-step explanation:

We are given that T={5a+2b; a,b belongs Z}

We have to rewrite the given set T as a list of its elements

Substitute a=0 and b=0

Then we get 5(0)+2(0)=0

Substitute a=-1 and b=2 then we get

5(-1)+2(2)=-1

Substitute a=2 and b=0

Then , 5(2)+2(0)=10

If a=0 and b=1

Then, 5(0)+2(1)=2

Substitute a=0 and b=2

Then, 5(0)+2(2)=4

If substitute a=1 and b=1

5(1)+2(1)=7

If substitute a=-1 and b=3

Then, we get 5(-1)+2(3)=1

Then, T={...,-3,-2,-1,0,1,2,3,4,....}

7 0

3 years ago