MATHEMATICS MIDDLE SCHOOL

The length of the hypotenuse of a right triangle is 15 in. and one leg has length of 6 in. Find the length of the other leg.A. 9 in.
B. 12 in.
C. square root 189 in.
D. square root 261 in

Answers

Answer 1
Answer:

Answer: C. square root 189 in.

Step-by-step explanation:

Given : The length of the hypotenuse of a right triangle is 15 in.

The length of one leg = 6 in.

Let x be the length of other leg, then

According to Pythagoras theorem ,we have

Hypotenuse² = Perpendicular² + Base²

\Rightarrow\ 15^2=6^2+x^2\n\Rightarrow225=36+x^2\n\Rightarrow\ x^2=225-36=189\n\Rightarrow x=√(189)\ in.

Hence, the length of the other leg is √(189)\text{ in.}

Thus , the correct answer is C. square root 189 in.
Answer 2
Answer:

Answer:

square root 189 i did the math and google says the same

Step-by-step explanation:

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What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?A) 1
B) 2
C) 3
D) 4

Answers

The\ perfect\ scuare:(a+b)^2=a^2+2ab+b^2\n------------------\n\nx^2+2x\to a=x;\ 2ab=2xb\to b=1\n\ntherefore\n\nx^2+2x\cdot1+1^2=x^2+2x+\boxed{1}\leftarrow\boxed{A}

What two integers do 199 fall between

Answers

Between 198 and 200, I believe.

How to find the volume of the cone

Answers

Answer:

The closest measurement to the volume of hat is 84.82 in.³.

Step-by-step explanation:

Given:

The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.

Now, to find the volume of cone:

Putting the formula (1)/(3)\pi r^(2)h.

Radius(r) is not given, finding the radius:

Radius(r)=half of the diameter(d)

r=(d)/(2)

r=(6)/(2)

r=3.

Then, (1)/(3)\pi r^(2)h

=(1)/(3)*\pi *3^(2)*9

=(1)/(3)*3.14*9*9 (\pi =3.14)

=(1)/(3) *254.34

=(254.34)/(3)

=84.78 in.³

So, the volume is 84.78 in.³ .

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A 120-watt light bulb uses about 0.1 kilowatt of electricity per hour. If electricity costs $0.20 per kilowatt hour, how much does it cost to have the bulb on for an hour?

Answers

There is no such thing as a "kilowatt per hour". If that's actually what the question says, then it's a defective question, and you should put it away before it makes you any more confused. A 120 watt light bulb uses exactly 0.12 kilowatt when it's turned on. In one hour, it uses (0.12 kilowatt) x (1 hour) = 0.12 kilowatt-hour of energy. If energy costs $0.20 per kilowatt-hour, then the cost is (0.12) x (0.20) = 2.4 cents. (0.024 dollar)

A nutrition label indicates that one serving of Apple crisp oatmeal has 2.5 grams of fat. How many grams of fat are there in 3.75 servings? Justify your answer

Answers

Answer:

9.375 grams of fat are there in 3.75 servings.

Step-by-step explanation:

Given : A nutrition label indicates that one serving of Apple crisp oatmeal has 2.5 grams of fat.

To find : How many grams of fat are there in 3.75 servings?

Solution :

One serving of Apple crisp oatmeal has 2.5 grams of fat.

i.e., 1 serving = 2.5 gram fat

We have to find the grams of fat for 3.75 servings

3.75\text{ serving }=3.75* 2.5\text{ gram fat }

3.75 serving = 9.375 gram fat

Therefore, 9.375 grams of fat are there in 3.75 servings.
there are 9.375 grams because you are supposed to multiply 2.5 by 3.75.

If there are 144 fruits in a box. And 1/8 are red apples and 1/4 are green apples and the rest are oranges. Than how many oranges are there all together? And what fraction of the fruit is oranges?

Answers

1/8 of 144= 18 (red apples). 1/4 of 144= 36 (green apples). Oranges = 36+18= 54, equal to 144-54= 90. Therefore, there are 90 oranges, and this is equal to 90/144, or 45/ 72 or 15/24 or 5/8. Hope this helps :)
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