1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
snow_tiger [21]
3 years ago
5

The rectangular prism shown has a length of 10 cm, a width of 10 cm, and a height of 6 cm. Find the length of the inner diagonal

AD of the prism. Note that AD is the hypotenuse of right triangle ACD. (Round your answer to the nearest hundredth.)

Mathematics
1 answer:
melamori03 [73]3 years ago
8 0
<h3>Answer:</h3>

15.36 cm

<h3>Explanation:</h3>

The Pythagorean theorem tells you ...

... AC² = AB² + BC² . . . . . relation for face diagonal

... AD² = AC² + CD² . . . . . relation for space diagonal

Subsituting the expression for AC² given by the first equation, the second equaiton becomes ...

... AD² = AB² + BC² + CD²

... AD² = (100 cm²) + (100 cm²) + (36 cm²) = 236 cm²

Taking the square root, we have ...

... AD = √236 cm = 2√59 cm

... AD ≈ 15.36 cm

You might be interested in
5
taurus [48]

Answer:

6 feet

Step-by-step explanation:

Since there are 8 bricks and each brick is 9 inches long, that is a total of 72 inches. Now, you need to convert it from inches to feet. Since 1 foot is 12 inches, we need to divide 72 by 12 to get the number of feet. 72 / 12 is equal to 6.

6 0
3 years ago
Y-8=5(x-3) what is the slope
Brilliant_brown [7]
Answer: 5

Slope is usually the number in front of x
8 0
3 years ago
Read 2 more answers
If ||| m, solve for x and y.
rosijanka [135]

Answer:

x = 11, y = 3

Step-by-step explanation:

(13x - 19) and (9x + 25) are corresponding angles and congruent, thus

13x - 19 = 9x + 25 ( subtract 9x from both sides )

4x - 19 = 25 ( add 19 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

Then

13x - 19 = 13(11) - 19 = 143 - 19 = 124

(17y + 5) and 124 are alternate angles and are supplementary, thus

17y + 5 + 124 = 180, that is

17y + 129 = 180 ( subtract 129 from both sides )

17y = 51 ( divide both sides by 17 )

y = 3

4 0
3 years ago
Read 2 more answers
9 3/4 - 1 1/4 in simplest form
Kipish [7]
8 1/2 would be the answer to this question
4 0
4 years ago
Q16. Find x^2 + 1/x^2 , if x + 1/x = 3
erica [24]

Answer:

2 \times  x \times \frac{1}{x}  =  2 \\  {x}^{2}   +  {y }^{2}  + 2xy =  {(x + y)}^{2} \\ {x}^{2}  +  \frac{1}{ {x}^{2} }  + 2 = {(x +  \frac{1}{x} })^{2}  =  {3}^{2}  = 9

8 0
3 years ago
Other questions:
  • Two lines, a and b, are represented by the equations given below:
    5·2 answers
  • A triangular prism has a height of 9 meters and a triangular base with the following dimensions.
    8·1 answer
  • How many time does 8 go into 27
    5·2 answers
  • Find the number of 4-digit numbers that contain at least three odd digits.
    8·2 answers
  • If f(x)=2x^2+3x-4, find 2f(x)
    9·1 answer
  • Which number is not equal to one of the following expressions? 1,400 x 10
    13·1 answer
  • Today, 4 cows produced 26 gallons of milk. If each cow produced the same amount of milk, how many gallons of milk did each cow p
    14·2 answers
  • Multiply.<br> 8u2y6.2u?y?<br> Simplify your answer as much as possible.
    5·1 answer
  • What is the relationship between the angle of depression of a person looking down from the top of a hill at their friend standin
    8·1 answer
  • in the number 85,549 the 5 in the hundreds place is. times that of the 5 in the thousands place.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!