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mars1129 [50]
4 years ago
7

-/1 points

Mathematics
1 answer:
MatroZZZ [7]4 years ago
5 0
<h3>If the width w is 55 feet and the perimeter P is 290 feet. </h3><h3>Use the formula P = 21 + 2w to find the length</h3>

<em><u>Solution:</u></em>

<em><u>The perimeter of rectangle is given as:</u></em>

P = 2(length + width)

From given,

length = ?

width = 55 feet

perimeter = 290 feet

Therefore,

290 = 2(length + 55)

length + 55 = \frac{290}{2}\\\\length + 55 = 145\\\\length = 145 - 55\\\\length = 90

Thus length of rectangular lot is 90 feet

<h3>Use the equation y = (x + 1)2 - 10 to find the value of y when x is -2</h3>

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

y = (x + 1)^2 - 10

To find: y when x = -2

Substitute x = -2

y = (-2 + 1)^2 -10\\\\y = -1^2 -10\\\\y = 1 - 10\\\\y = -9

Thus y is -9 when x is -2

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Rewrite the expression by factoring out (w-2).<br> 5w(w – 2) + 2(w-2)
jarptica [38.1K]
5w(w-2)+2(w-2)
=5w+2
7 0
3 years ago
40 points! Determine the area of the figure below round to the nearest hundredth
densk [106]

Answer: 60 + 13 sqrt 10

the top part adds up to 10 and the bottom part is 13

so you get a 7-3-2 sqrt 10 triangle to the left

the area of that is 3 sqrt 10

the area of the leftmost rectangle is 5 * 2sqrt 10 which is 10 sqrt 10

the area of the big vertical rectangle is 5*12 which is 60

so you add them up

60 + 13 sqrt 10

3 0
3 years ago
Read 2 more answers
Jills front door is 42”wide and 84”tall .she purchased a circular table 96 inches diameter .will the table fit in the door
kipiarov [429]

Answer:

No

Step-by-step explanation:

Use Pythagorean's Theorem a² + b² = c² to find the hypotenuse. That will tell you her door's length from one corner the opposite.

42² + 84² = c²

Now solve for c

1764 + 7056 = c²

Now add the left side together and take the square root of both sides.

c = 93.914 in

That is not enough room for a 96 in diameter table to fit through.

8 0
3 years ago
What type of number is - 36/12
Vitek1552 [10]

Answer:

It is an improper fraction.

Step-by-step explanation:

With fractions, if the numerator is equal to or grater than the denominator, the fraction is considered an improper fraction.

6 0
3 years ago
Rounded to the nearest hundred cubic meters, what is the total capacity (cone and cylinder) of the storage container?
hichkok12 [17]
The picture in the attached figure

we know that
the total capacity of the storage container=volume of a cone+volume of cylinder

step 1
find the volume of a cone
volume of a cone=(1/3)*pi*r²*h
r=6 m
h=8 m
so
volume=(1/3)*pi*6²*8-----> 301.44 m³

step 2
find the volume of the cylinder
volume of a cylinder=pi*r²*h
r=6 m
h=10 m
s6
volume=pi*6²*10----> 1130.40 m³

total volume=301.44+1130.4-----> 1431.84 m³-------> 1400 m³

the answer is
1400 m³

5 0
3 years ago
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