For any right triangle, the side lengths of the triangle can be put in the equation a2 + b2 = c2 where a, b, and c are the side lengths. A triangle with the side lengths 3 inches, 4 inches, and 5 inches is a right triangle. Which way(s) can you substitute the values into the equation to make it true? Which variable has to match the longest side length? Why?

Answers

Answer 1
Answer: Pythagorean theorem:
a² + b² = c²

a is the long leg of the triangle
b is the short leg of the triangle
c is the hypotenuse

side lengths ; 3 inches, 4 inches, 5 inches of a right triangle.

a = 4 inches
b = 3 inches
c = 5 inches

4² + 3² = 5²
16 + 9 = 25
25 = 25

Answer 2
Answer:

Possible Answer:

The base of a right triangle is shorter then the hypotenuse due to the diagnal of the line being the longest line we can conclude that 5 is the Hypotenuse (C). That would mean that the longest line thats not the hypotenuse(4) is B and the shortest line(3) is A.

Possible Answer Two:

Since the hypotenuse is the longest line in a right triangle we can conclude its length is 5 and the base is 4 and the side length is 3.


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1,000 pounds > < = 1 ton

Answers

1000 pounds is less than 1 ton

Hello there! :D The answer to your question is 1,000< 1 ton. 1 ton equals 2,000 pounds. 1,000 pounds is less than 1 ton.

Hope I helped! ;D


320 decimeters= meters

Answers

32 because 1 decimeter is 0.1 meters
1 decimeter is 0.1 meter
so 320 decimeters is 32 meters.

W what is 7 divided by 3

Answers

Depends on how you want to express it. In fraction form, it is 7/3. However, in decimal form (that is probably what you want to use), it is 2.33
7 divided by 3 = 3.5

The ways to check this is
multiply.......3.5 + 3.5 = 7

 

How many times does 16 go into 40

Answers

A 16 can fit into 40 two times without any remainder. The division result is 2, indicating that 16 goes into 40 two whole times.

To find how many times 16 goes into 40, we perform division. The quotient represents the number of times 16 can fit completely into 40.

Step 1: Perform the division:

40 ÷ 16 = 2.5

Step 2: Interpret the result:

The quotient is 2.5, which means 16 can go into 40 two whole times, with a remainder of 0.5 (half). However, we cannot have a fraction of a time in this context, so we need to consider only the whole number part of the quotient.

Step 3: Final answer:

16 goes into 40 two whole times.

In summary, 16 can fit into 40 two times without any remainder. The division result is 2, indicating that 16 goes into 40 two whole times. This calculation involves dividing the dividend (40) by the divisor (16) to find how many times the divisor fits completely into the dividend.

To know more about remainder:

brainly.com/question/29019179


#SPJ6

2.5 times.

40 divided by16 equals 2.5
 Hope that helped!

1) A hardware company's cost, in thousands of dollars, is represented by the function C(x)=0.5x+900 and its revenue, in thousands of dollars, is represented by the function R(x)=4x. Each package of nuts and bolts is represented by x. How much will the company profit if they sell 80000 packages? Round your answer to the nearest dollar, and do not include the dollar sign in your answer.

Answers

Answer:

Profit = $279,100

Step-by-step explanation:

We know

Profit = Revenue - Cost

Given Cost equation and Revenue equation, we can find profit equation. Shown below:

Profit=Revenue-Cost\nP(x)=R(x)-C(x)\nP(x)=4x-(0.5x+900)\nP(x)=4x-0.5x-900\nP(x)=3.5x-900

Where x, is the number of packages.

The company will profit when selling 80,000 packages is:

P(x)=3.5x-900\nP(80000)=3.5(80000)-900=279,100

Profit = $279,100

The diameter of circles A,C and E are 32 cm, 24cm and 14 cm respectively Which of the following statements are true? Select all that apply

Answers

Answer:

AG = 4

AH = 21

EC = 12

CH = 5

HE = 7

Step-by-step explanation:

The complete question is

The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.

Which of the following statements are true? Select all that apply.

•AG = 4

•GC = 10

•AH = 21

•EC = 12

•EH = 5

•CH = 5

•HE = 7

The picture of the question in the attached figure

Verify each statement

1) AG = 4

we know that

AG=AC-GC

AC=32\2=16\ cm ----> radius of circle A

GC=24/2=12\ cm ----> radius of circle C

substitute

AG=16-12=4\ cm

therefore

The statement is true

2) GC = 10

we know that

GC=24/2=12\ cm ----> radius of circle C

therefore

The statement is false

3) AH = 21

we know that

AH=AC+CH

we have

AC=16\ cm ----> radius of circle A

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

AH=16+5=21\ cm

therefore

The statement is true

4) EC = 12

we know that

EC=24/2=12\ cm ----> radius of circle C

therefore

The statement is true

5) EH = 5

we know that

EH=14/2=7\ cm ----> radius of circle E

therefore

The statement is false

6) CH = 5

we know that

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

therefore

The statement is true

7) HE = 7

we know that

HE=14/2=7\ cm ----> radius of circle E

therefore

The statement is true