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KIM [24]
3 years ago
8

A rectangular prism is 3 inches long, 4 inches wide and 8 inches tall. What is the length of its

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0
The longest diagonal is about 8.9 inches. The longest length is going to be between the two longest lengths, the width and the height. The Pythagorean theorem is a^2 + b^2 = c^2. Plug the width and height into a and b of the Pythagorean equation. (4)^2 + (8)^2 = c^2. Now simplify the equation. 16 + 64 = c^2. 80 = c^2. Now find the square root of each side. (sqrt)80 = (sqrt)c^2. If you simplify this, you will find that c is equal to about 8.9 inches.
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The volume of the polyhedron is ______ cm3.
PSYCHO15rus [73]

Answer:

50.80 cm^3

Step-by-step explanation:

the polyhedron is a rectangular pyramid

Volume of a rectangular pyramid = 1/3 x ( width x height x length)

1/3 ( 4 x 5 x 3) = 20 inches

we need to convert inches to cm

1 in = 2.54 cm

20 x 2.54 = 50.80 cm^3

8 0
3 years ago
Alright I need The answers for number 27 please reply To This question I posted
lys-0071 [83]

Answer:

C. Sqrt(12^2+9^2)

Step-by-step explanation:

Pythagorean theorem is

x^2+y^2=z^2

So solving for z

z=sqrt(x^2+y^2)

z=sqrt(9^2+12^2)

6 0
3 years ago
Molly, a purchasing agent for a high-tech firm, is ordering computers for a new branch office. Laptops cost $540 apiece and desk
NISA [10]

Answer:

540x+680y<=20000

Step-by-step explanation:

x will be the number of laptops. Since they are $540 each, 540x is the amount spent on laptops, depending on how many (x) are purchased.

y will be the number if desktops. Since they are $680 each, 680y is the amount spent on desktops, depending on how many (y) are purchased.

Adding all the money spent on laptops and desktops, we get

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540x+680y<=20000

3 0
2 years ago
The length of a rectangle is 2 more than twice the width. The area of the
vlada-n [284]

Answer: w=5 , L= 2+2(5)=12

Step-by-step explanation:

L=2+2W

A= 60

LxW=60, now we will replace the L

(2+2W)(W)=60   we multiply

2w^2+2w=60

2w^2+2w-60=0  we divide by 2 the equation so we can work easier

w^2+w-30=0

find out w using the quadratic equation

we will get 2 solution,

w=5 and another solution is -6, which is not valid, as the side can not be negative

8 0
3 years ago
Can someone please help me with this question please ?
EleoNora [17]

Answer:

x=43

Step-by-step explanation:

Since the lines are parrallel, the angle underneath the one you are finding is equal to 65. To find the total value of (x+72) you subtract 65 from 180, giving you 115.

x+72 = 115

then you subtract 72 from both sides

x=43

8 0
3 years ago
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