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kow [346]
3 years ago
13

What is the height of a rectangle whose base is 40 inches and whose diagonal is 41 inches?

Mathematics
2 answers:
maw [93]3 years ago
8 0

Answer: 9 inches

Step-by-step explanation:

romanna [79]3 years ago
7 0

Answer:

You must draw a right triangle and label the hypotenuse as 41 and the longest leg (horizontal in this case, since we are to determine the height) as 40. We do not know the height so call it h.

Now the Pythagorean (sp /) Theorem states that the square of the hyp. is equal to the sum of the squares of the two legs.

so, 41 ^ 2 = 40 ^ 2 + h ^ 2

41 ^ 2 = 1681   40 ^ 2 = 1600     Therefore h ^2 must be equal to 81.   This means that h = 9.

The height is 9 inches.

Step-by-step explanation:

mark me as brainliest pls :)

~Alex

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Which two numbers on the number line have an absolute value of 1.75? Select the location of both numbers on the number line
hram777 [196]

Solution

             To    find   Which two numbers on the number line have  sn  

            absolute value of 1.75  .

            Absolute   value   means    " how  far   a  number    is   from  

            zero "  .

           "1.75"    is    1.75   away   from   zero  .

           and  " -1.75"   is  also   1.75    away   from  zero  .

          i.e

               |  0  - 1.75 |   =   1.75

              |  1.75 - 0 |  =  1.75  

           So ,  the  absolute   value  of   "1.75"    is  1.75  

          similarly  , absolute  value  of  "1.75"   is   1.75  .

          Hence  , the  two  numbers   are   -1.75  and  1.75  .

                 

           

8 0
3 years ago
Read 2 more answers
Cam's tent (shown below) is a triangular prism. Find the surface area, including the floor, of his tent.
SVEN [57.7K]

The surface area of the tent is 21.4 m²

Step-by-step explanation:

To find the surface area of a prism you must calculate:

1. The perimeter of the base

2. The area of the base

3. The height of the prism

We have a triangular prism:

Its base is an equilateral triangle of side length 2 m and height 1.7 m

The height of the prism is 3 m

∵ The surface are of the prism is:

   S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the equilateral triangle = 3 × length of a side

∵ The length of the side = 2 m

∴ The perimeter of the base = 3 × 2 = 6 m

∵ The area of the triangle = \frac{1}{2} × base × height

∵ The length of the base of the triangle = 2 m

∵ The height of the triangle = 1.7 m

∴ The area of the base = \frac{1}{2} × 2 × 1.7 = 1.7 m²

∵ S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the base = 6 m

∵ The area of the base = 1.7 m²

∵ The height of the prism = 3 m

∴ S.A = 6 × 3 + 2 × 1.7

∴ S.A = 18 + 3.4

∴ S.A = 21.4 m²

The surface area of the tent is 21.4 m²

Learn more:

You can learn more about surface area of a solid in brainly.com/question/12613605

#LearnwithBrainly

3 0
3 years ago
Read 2 more answers
-5x=3x-24 help me with this problem
adoni [48]

Answer:

x = -3

Step-by-step explanation:

Take the 3x away from the right side.

-5x-3x=-8x

-8x = -24

Divide both sides by 8.

-8x/8 = x

-24/8 = -3

x = -3

7 0
3 years ago
Will mark Brainlest Help please<br>If a:b =4:5 then find the duplicate value of a:b<br>​
Nostrana [21]

Answer:

it must be 5:4..I'm not sure.

4 0
3 years ago
Read 2 more answers
Please help me in here. And thx for da ' help
Ivanshal [37]
No there isn’t enough water, 975 divided by 70 is 13.92 indicating there would only be enough water for 13 experiments and not 15
6 0
3 years ago
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