The legs of a right triangle measure 5 centimeters and 12 centimeters. What is the length of the hypotenuse?

Answers

Answer 1
Answer:  13cm  ... bc ,  a^2 + b^2 = c^2 

a^2 + b^2 = c^2 (pretend the ^2 is a squared symbol) 
5^2 + 12^2 = c^2, which is... 
25 + 144 = c^2 
25 + 144 = 169 
So, 169 is c^2 (c squared). 
Now, the square root of 169 is 13. 
That means the hypotenuse is 13 cma^2 + b^2 = c^2 (pretend the ^2 is a squared symbol) 
5^2 + 12^2 = c^2, which is... 
25 + 144 = c^2 
25 + 144 = 169 
So, 169 is c^2 (c squared). 
Now, the square root of 169 is 13. 
That means the hypotenuse is 13 cm
Answer 2
Answer:

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2 (pretend the ^2 is a squared symbol) 

5^2 + 12^2 = c^2, which is... 

25 + 144 = c^2 

25 + 144 = 169 

So, 169 is c^2 (c squared). 

Now, the square root of 169 is 13. 

That means the hypotenuse is 13 cma^2 + b^2 = c^2 (pretend the ^2 is a squared symbol) 

5^2 + 12^2 = c^2, which is... 

25 + 144 = c^2 

25 + 144 = 169 

So, 169 is c^2 (c squared). 

Now, the square root of 169 is 13. 

That means the hypotenuse is 13 cm

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The circumference of a circular painting is 28.26
feet. What is the diameter of the painting? Use
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Answers

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A right cylinder has a diameter of 40 mm and a height of 30 mm, as shown. Semester Test, Part 1 What is the volume of the cylinder?a. 37,680 mm3
b. 1256 mm3
c. 150,720 mm3
d. 12,000 mm3

Answers

Answer: a. 37,680\ mm^3

Step-by-step explanation:

We know that the volume of a cylinder is given by :-

V=\pi r^2 h, where r is radius and h is height of the cylinder.

Given: The diameter of cylinder = 40 mm

The radius of cylinder =r=(40)/(2)=20\ mm

The height of cylinder = 30 mm

Then , the volume of the cylinder will be :-

V=(3.14) (20)^2 (30)=37680\ mm^3

Hence, the volume of the cylinder = V=37680\ mm^3

Volume = Area * height 
 = (pi/4)*D^2 * h
 = (pi/4)*(40)^2 * 30 
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How many times does 6 go into 312

Answers

It can go in 52 times. Just divide 312 from 6.

Hope - this -helped :)
52 times is the answer : )

Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].

-4t
4t
-10t
10t

Answers

The simplification of the expression 5t + (t - 3) - [(7t + 5) - (8 - 3t)]  using PEMDAS rule is -4t.

Thus, option 1 is correct.

A method of reducing an expression, equation, or problem to a more concise or straightforward form is referred to as simplification.

Initially the small bracket then curly brackets and at last large brackets are required to solve according to the laws of simplification using PEMDAS rules.

The given expression can be simplified as:

5t + (t - 3) - [(7t + 5) - (8 - 3t)]

5t+t-3-[7t+5-8+3t]

5t+t -3-7t-5+8-3t

-4t

The simplification of the expression 5t + (t - 3) - [(7t + 5) - (8 - 3t)] is -4t.

Thus, option 1 is correct.

Learn more about expression here:

brainly.com/question/34132400

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 5t + (t - 3) - [(7t + 5) - (8 - 3t)] 
=5t + (t - 3) - [(7t + 5) - (-3t + 8)] 
=5t + (t - 3) - [7t + 5 + 3t - 8] 
=5t + (t - 3) - [7t + 3t + 5 - 8] 
=5t + (t - 3) - [10t - 3] 
=5t + t - 3 - 10t + 3 
=5t + t - 10t - 3 + 3 
=-4t

Solve using substitution.
4a=3b+3
a=b-1

Answers

4(b-1)=3b+3
4b-4=3b+3 -- subtract 3b from both sides
b-4=3 -- add 4 to both sides

b=7
Substitute b into equation 2
a=b-1
a=7-1

a=6

Verify:
4(6)=3(7)+3
24=21+3
24=24 -- True.
4a=3b+3 
Put a=b-1 in the above equation 
4(b-1) = 3b+3 
open the brackets 
4b - 4 = 3b + 3 
collect B-terms together on one side 
4b - 3b = 3+4 
b = 7

20,600 at 8 % for 2 years

Answers

First you have to find 8% of 20,600, this would be the rate per year. Then multiply what you get by 2, to figure out how much it is for 2 years. The answer is 3,296. HOPE THIS HELPS!!
what is the actual question please
what are we suppose to find 
if it growth or decay
20600(1+8)^2 then 1668600