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ArbitrLikvidat [17]
3 years ago
12

Jenna has a round trampoline with an area of 153.86 feet squared. Jenna is 2 points

Mathematics
1 answer:
astraxan [27]3 years ago
7 0

Answer:

The length of  the cover that will wrap around the edge of the trampoline is 43.96 ft.

Step-by-step explanation:

Given that,

Area of trampoline, A=153.86\ ft^2

Jeena wants to buy a cover to put around the edge of the trampoline. We need to find the length of the cover that will wrap around the edge of the trampoline. First of all, lets find the radius of trampoline. Let is is r. So,

\pi r^2=153.86 \\\\r=\sqrt{\dfrac{153.86 }{3.14}} \\\\r=7\ ft

To find the length of  the cover that will wrap around the edge of the trampoline we will find circumference of the trampoline as :

C=2\pi r\\\\C=2\times 3.14\times 7\\\\C=43.96\ ft

So, the length of  the cover that will wrap around the edge of the trampoline is 43.96 ft.

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Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a
yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

Given

length of the room = 27 ft.

width of the room = 19 ft.

suppose, she leaves a uniform strip of x ft. around the rug.

So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

                            =  (27-2x)(19-2x)

                            =  513-54x-38x+4x^2

                            =   513-92x+4x^2

According to the question,

513-92x+4x^2=153

513-92x+4x^2-153=0        ( subtract 153 both sides)

4x^2-92x+360=0

4(x^2-23x+90)=0

x^2-23x+90=0

x^2-(18+5)x+90=0            ( Middle term splitting)

x^2-18x-5x+90=0

x(x-18)-5(x-18)=0

(x-5)(x-18)=0

x-5=0 or x-18=0             ( zero product property)

x=5 or x=18

if x=18, dimension would be negative  ( Not possible)

Thus, x= 5

Hence,

length of rug= 27-10=17 ft.

width of rug= 19-10=9 ft.

8 0
4 years ago
Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour. Jeff knows that 1 cup of that
Sedaia [141]

Answer:

Jeff went over by 53.33 grams or 53\frac{1}{3} grams.

Step-by-step explanation:

Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.

Jeff knows that 1 cup of that particular vanilla powder has a mass of 128 grams.

He added \frac{2}{3} of a cup of vanilla powder to the flour.

So, he added a mass of \frac{2}{3} \times128= 85.33 grams of vanilla.

As the recipe says, it needs 32 grams of vanilla so Jeff went over by 85.33-32=53.33 grams.

Jeff went over by 53.33 grams or 53\frac{1}{3} grams.

8 0
3 years ago
Tia walked 1/2 mile in 5 minutes. She walked at the same rate for the entire distance. How far did Tia walk in 1 minute?
Hatshy [7]
She walked 1/10 of a mile in one minute
work: 1/2 a mile is 0.5 and 0.5 divided by 5 is 0.1 so you get 0.1 mile for each minute
3 0
3 years ago
Given that x < 5, rewrite 5x - |x - 5| without using absolute value signs.
arsen [322]

For x, x-5, therefore |x-5|=-(x-5)=-x+5

So, for x, 5x-|x-5|=5x-(-x+5)=5x+x-5=6x-5

8 0
3 years ago
Read 2 more answers
What two numbers multiply and get 100 and add and get -29??
butalik [34]
X, y - the numbers

The numbers multiply to 100.
xy=100

The numbers add up to -29.
x+y=-29 \\
y=-x-29

Substitute -x-29 for y in the first equation:
x(-x-29)=100 \\
-x^2-29x=100 \\
-x^2-29x-100=0 \\
-x^2-4x-25x-100=0 \\
-x(x+4)-25(x+4)=0 \\
(-x-25)(x+4)=0 \\
-x-25=0 \ \lor \ x+4=0 \\
x=-25 \ \lor \ x=-4 \\ \\
y=-x-29 \\
y=-(-25)-29 \ \lor \ y=-(-4)-29 \\
y=25-29 \ \lor \ y=4-29 \\
y=-4 \ \lor \ y=-25 \\ \\
(x,y)=(-25,-4) \hbox{ or } (x,y)=(-4,-25)

The numbers are -4 and -25.
6 0
3 years ago
Read 2 more answers
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