MATHEMATICS MIDDLE SCHOOL

Glven a right triangle with the legs measuring 5 meters and 12 meters, use the Pythagorean theorem to solve for the hypotenuse. 12 meters
13 meters
14 meters
15 meters

Answers

Answer 1

Answer:

Answer:

15 meters

Step-by-step explanation:

Answer 2

Answer: Hypotenuse: 15 meters

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The perimeter of a rectangle is 30 inches. If it's length is three times it's width, find the dimensions. Show work if possible.Next, a volleyball coach plans her daily practices to include 10 minutes of stretching, 2/3 of the entire practice scrimmaging, and the remaining practice time working on drills. On Wednesday, the coach planned 100 minutes of stratching and scrimmaging. How long, in hours, is the entire practice? Show work if possible.

Homework due tommorrow......PLEASE HELP!!!!!

Answers

The rectangle problem:

First, create some variables.
w = width
l = length

Then you know that the length is 3 times the width, so
l = 3w

The equation for perimeter is
P = 2(l+w)

Now you use substitution, substituting the 3w for l because you found that earlier.

P = 2((3w) + w)

And simplify.
P = 2(4w)
P = 8w

And you know P = 30 because they told you that.
30 = 8w
w = 15/4 inches, or 3.75 inches

Now substitute that value back into that first equation,
l = 3w
l = 3(15/4)
l = 45/4 inches, or 11.25 inches.

The dimensions are 11.25in for length and 3.75in for width.

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The volleyball problem:

100 minutes of stretching and scrimmaging combined, and you know 10 have to be stretching, so 90 is scrimmaging.

s = scrimmaging
T = total time

s = 2/3T (they gave you this)
90 = 2/3T
T = (90*3)/2
T = 270/2
T = 135 minutes, or 2 hours and 15 minutes.

Write a number sentence that tells what the model represents

Answers

5X3=15 i think is the answer

can you say more details

Distributive property to express 16+48

Answers

So,

I will un-distribute the GCF of the two numbers.

16(1 + 3)

Distributing we get:
16(1) + 16(3)
16 + 48

After applying the distributive property the expression (16 + 48) is written as,

⇒ 16 (1 + 3)

We have to give that,

A mathematical expression is,

⇒ 16 + 48

Now, apply the distributive property to express the expression as,

⇒ 16 + 48

Since, GCD of (16, 48) = 16

Hence, take 16 as the common number,

⇒ 16 + 48

⇒ (16 × 1) + (16 × 3)

⇒ 16 (1 + 3)

So, it can be written as,

⇒ 16 (1 + 3)

To learn more about the distributive property visit:

brainly.com/question/2807928

#SPJ6

A central angle of a sector equals 5 radians and the radius equals 20 inches. What is the measure of the arc length formed by the sector?

Answers

Answer:

100

Step-by-step explanation:

Plz help. will mark as braniliest!

Answers

The idea of using 4 because it's a factor is the wrong choice. If the equation were 5x = 88 and you divide by 4, you aren't getting a single 1x alone. So the "divide because it's a factor" choice is wrong.

The answer should be the second option as it gives a good reason as to how multiplying it by five is the best choice. It could also be the first option, but I think the second option is more apt.

Estimate the quotient 122.56 divided by 2.98