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4 years ago

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

Mathematics

2 answers:

maw [93]4 years ago

8 0

Answer: 9 inches

Step-by-step explanation:

romanna [79]4 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:

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~Alex

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In 2017, there were about 21 million teenagers (aged 13-17) in the United States. They each

vivado [14]

The Number of text messages sent in a month is 1.68 × $10^{(-8)}$

Step-by-step explanation:

Step 1 :

Total number of teenagers in United States = 21 million

Average text messages sent per month = 800

We need to find the number of text messages sent each month

Step 2 :

The number of text messages in a month can be computed by taking the product of the total number of teenagers and average messages sent per month

Therefore

Number of text messages that is sent in a month = 21 million × 800

= 21 × $10^{6}$ × 800

= 168 × $10^{6}$ = 1.68 × $10^{(-8)}$

Step 3 :

Answer :

The Number of text messages that is sent in a month is 1.68 × $10^{(-8)}$

5 0

3 years ago

Can someone please explain expanded form with this number 15,409

Anarel [89]

The expanded form of 15,409 would be 15,000 + 400 + 9.

Your 15 would alone be 15,000. The 409 is turned into zeros.
For 409, take the 9 off of the end and keep it by itself, and then add a zero in replace for the 9, which makes 400.
The 9 should come in at the last part as it is the last number.

Add them all together and you should get <span>15,000 + 400 + 9.</span>

3 0

3 years ago

Solve x^2-6x+25 = 0 by completing the square.

Oksana_A [137]

First, subtract both sides by 25:

x^2 - 6x = -25

Because we're completing the square, we subtract both sides by 9:

x^2 - 6x - 9 = -34

(x - 3) = 5.831 (about)

x = 8.831

3 0

3 years ago

a hotel has enough food for 125 guest to last 16 days. how long will the food last if 25 more guest check-in to the hotel ?

timama [110]

3.2 less days than 16 because each 25 is 5 than 16 divide by 5 is 3.2

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3 years ago

What is the product?

nirvana33 [79]

Answer:

the answer is B

Step-by-step explanation:

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3 years ago