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Korvikt [17]
3 years ago
11

The surface area of a rectangular prism is 2,280 square feet. If the width and height are 20 and 15 feet, the length of the pris

m is 24 ft?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer:

The statement is trrue.

Step-by-step explanation:

Given that,

The surface area of a rectangular prism = 2,280 square feet

Width, b =20 feet

Height, h = 15 feet

The formula for the surface area of a rectangular prism is given by :

A=2(lb+bh+hl)

Where

l is the length of the prism

Substitute all the values,

A=2(lb+bh+hl)\\\\2,280=2(20l+20\times 15+15l)\\\\1140=(20l+20\times 15+15l)\\\\1140=35l+300\\\\1140-300=35l\\\\35l=840\\\\l=24\ feet

So, the length of the prism is equal to 24 feet.

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The first term of a geometric sequence is 32, and the 5th term of the sequence is 818 .
sammy [17]

Answer:

32,24,18,\frac{27}{2} ,\frac{81}{8}

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is 32,x,y,z,\frac{81}{8}

Recall that  term of a geometric sequence  are generally in the form:

a,ar,ar^2,ar^3,ar^4

This implies that:

a=32 and ar^4=\frac{81}{8}

Substitute a=32 and solve for r.

32r^3=\frac{81}{8}

r^4=\frac{81}{256}

Take the fourth root to get:

r=\sqrt[4]{\frac{81}{256} }

r=\frac{3}{4}

Therefore x=32*\frac{3}{4} =24

y=24*\frac{3}{4} =18

z=18*\frac{3}{4} =\frac{27}{2}

8 0
3 years ago
Point B, located at (-5, -8), is rotated 360°. What are the coordinates of point B?
Natalka [10]
(-5,-8)
The coordinates are still the same because a rotation of 360° is a complete circle, therefore the points remain in the same spot.
4 0
3 years ago
Read 2 more answers
Solve:<br>p+ 7- 5= -10 - 3<br>please use an explanation so I know how to do this next time pleaasee​
skelet666 [1.2K]

Answer:

P = - 15

Step-by-step explanation:

P+7-5 = -10 - 3

P +2 = - 13

(If taking from one side,you must do to the other to get P alone.)

P+2 = - 13

-2 = - 2

The positive 2, minus the negative 2 cancels each other out, now we must subtract 2 from our other side. - 13 - 2 = - 15

P = -15

7 0
3 years ago
Which of the following is a solution of x2 − 10x = −36? (6 points)
Softa [21]

Answer:

D

Step-by-step explanation:

Given

x² - 10x = - 36

Solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 5)x + 25 = - 36 + 25

(x - 5)² = - 11 ( take the square root of both sides )

x - 5 = ± \sqrt{-11} ( add 5 to both sides )

x = 5 ± i\sqrt{11}

Thus

x = 5 - i\sqrt11} or x = 5 + i\sqrt{11}

6 0
4 years ago
PLES HELP ME June knits scarves and hats for kids in her community. She has knitted six less than twice as many hats as scarves,
Thepotemich [5.8K]
Let x = hats she knitted

Less than means to subtract and it’s an order switcher so it would be

2x - 6 = 78

First step: Add six to both sides -6 + 6 = 0 6 + 78 = 84

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2x = 84

Second step: Divide the coefficient on both sides, two is the coefficient

2x/2 = x
2/84 = 42

Therefore, the answer is x= 42
6 0
1 year ago
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