Does 4.5, 6, 7.5 form a right triangle

Answers

Answer 1

If these sides formed a right triangle, then a^2 + b^2 = c^2 would be true

a & b are the two legs
c is the hypotenuse (longest side)

a = 4.5
b = 6
c = 7.5

Plug those values into the pythaogrean theorem and let's see if we get a true equation or not

a^2 + b^2 = c^2
4.5^2 + 6^2 = 7.5^2
20.25 + 36 = 56.25
56.25 = 56.25 .... true equation

Since we get a true equation, this means the original equation is true for the given a,b,c values. So we do have a right triangle.

Answer 2

Final answer:

The numbers 4.5, 6, and 7.5 can form the sides of a right triangle as their squared lengths satisfy the Pythagorean theorem where 4.5² + 6² equals 7.5².

Explanation:

To determine whether the numbers 4.5, 6, 7.5 can form the sides of a right triangle, we can apply the Pythagorean theorem.

This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

According to the given numbers, if we assume that 7.5 is the length of the hypotenuse, then:

4.5² + 6² should equal 7.5²

Calculating each term gives us:

4.5² = 20.256² = 367.5² = 56.25

Adding the squares of the possible legs:

20.25 + 36 = 56.25, which is indeed the square of the hypotenuse. This confirms that 4.5, 6, and 7.5 can indeed form a right triangle.

Related Questions

Scientists believe that there is an extremely massive black hole at the center of the Milky Way. How many times more massive than the Sun would a black hole with a mass of 7.36 x 10^36 kg be? The mass of the Sun is approximately 1.99 x 10^30 kg.

A. 3.7 x 10^8
B. 3.7 x 10^6
C. 3.7 x 10^4
D. 3.7 x 10^3

Answers

I got B
Hope this helps :D

Final answer:

To find out how many times more massive than the Sun a black hole with a mass of 7.36 x 10³⁶ kg is, divide its mass by the mass of the Sun which is approximately 1.99 x 10³⁰ kg. The answer is 3.7 x 10⁶ times more massive than the Sun.

Explanation:

Scientists believe that there is an extremely massive black hole at the center of the Milky Way. To find out how many times more massive than the Sun a black hole with a mass of 7.36 x 10³⁶ kg is, you can divide its mass by the mass of the Sun. So, 7.36 x 10³⁶ kg / 1.99 x 10³⁰ kg = 3.7 x 10⁶ times more massive than the Sun.

Which of the following is another way to explain the Distributive Property?

1) With addition and multiplication, it doesn't matter how you group things.

2) With addition and multiplication, the operands can be moved around.

3) Multiplication distributes over addition

Answers

Multiplication distributes over addition

what is the value of x?

X=?

Answers

the answer of x is 54

Which of the following shows the correct match of the box numbers and the genotype of the offspring?

Answers

Technically a biology question but if you create the chart all 4 types will be Tt because the Male has the genotype of TT so they will each have a large T in each box (like making a multiplication table). and the female has tt so the only possibility is a large T with a small t in all four squares because there are both homogenous genotypes. (the bottom-most answer is the correct answer)

Answer:

i forgot i mostly think its the last?

Step-by-step explanation:

Would you just subtract the numerators like normal? Like 7-5 the answer would be 2/9

Answers

Yes, but only if the denominator is the same.

Hope this helps!

Given ΔABC: ΔDEF, find x.

7.2
11.25
20
18

Answers

so, since they are similar, so 9:12 and 15:x
to get to 12, you have to multiply 9 by 4/3. so multiply 15 by 4/3 to get your answer, which is 20.

Answer:

Step-by-step explanation:

A bicycle wheel has a radius of 13 inches.

What is the distance the bicycle will travel after 30 revolutions of the wheel?

Use 3.14 for π .

Enter your answer in the box.

Answers

Given the formula for circumference is
[tex]30 \times 2\pi(13)[/tex]

Answer:

2449.2

Step-by-step explanation:

John uses 9 eggs to make 5 burritos. How many burritos can he make with 27 eggs?

Answers

He can make 15 burritos

Hello!

John uses 9 eggs to make 5 burritos.

27 ÷ 9 = 3

Nine goes into seven three times.

5 × 3 = 15

ANSWER:

John can make 15 burritos with 27 eggs.

Percy is plotting points on a graph. The ratio of y-value to x-value is 2 to 3 for each point. What will be the x-value of a point with a y-value of 18?

Answers

It is 27 because if you do 9 times 2 you get 18 so you would do 9 times 3 which is the value of x, which is equal to 26

Answer: Value of x = 27

Explanation:

Percy is plotting a coordinate on the graph.

Now the ratio of y-value to x-value is 2 to 3 for each point.

Suppose Value of is 3a and y value is 2a

So, the coordinate of the point is (3a,2a)

Now we find the x value of the coordinate when value of y is 18.

2a is same as 18

2a = 18

a = [tex] \frac{18}{2} [/tex]

a = 9.

Now find the x ordinate

put the value of a=9 into 3a

3a = 3(9) = 27

So the final answer is :

Value of x = 27 when value of y = 18

Need help on this question 8 only

Answers

i hope this helps! let me know

Write -1/6, 5/3, -5/6 in order from least to greatest.

A. -1/6, -5/6, 5/3
B. -5/6, -1/6, 5/3
C. 5/3, -5/6, -1/6
D. -1/6, 5/3, -5/6

Answers

That would be B. -5/6, -1/6, 5/3

If 3p+4q=8 and 4p+3q=13, what is q equal to?

Answers

q=-1 :)
just solve for one variable of your choice in either function, in this case p then plug it into the other function to start solving for q.

Exponents and exponential functions unit test
1. -(10)^-1
A)-1/10
B)-1/-1^10
C)1/10
D)10

Answers

-(10)∧-1= -(0.1)=-0.1
10^-1=0.1

Answer:

Step-by-step explanation:

We can change the sign of an exponent if we change sides. This means sign of exponent changes when we move the number (along with base) from numerator to denominator or from denominator to numerator.

So 10 to the power -1 will change to 10 to the power 1 if we take the whole thing to the denominator (steps shown below):

[tex]-(10)^-1\\=-\frac{1}{10^1}\\=-\frac{1}{10}[/tex]

Answer choice A is right.

Shen took out a loan for 225 days and was charged simple interest at an annual rate of 7.3%. The total interest he paid on the loan was $117. How much money did Shen borrow?

Answers

Answer:

$2600

Step-by-step explanation:

How can you solve problems involving equivalent expressions?

Answers

I’m pretty sure I️ can help lol
Since you didn’t give he specific questions I️ just do an example.
Say you’re trying to figure out x from 4x+5=2x+33
You basically just move the stuff around until all you have left on one side of the = is x so whatever you do from one side you do to the other.
4x+5=2x+33
-5 -5
4x =2x+28
-2x -2x
2x = 28
/2 /2
x = 14
Hope this is what you were looking for

Answer:

Problems involving equivalent expressions are solved using the rules of algebra. If 2 expressions are equivalent then they are identical in their simplified form.

what is the simplified form of the following expression 6xyz/2xz

Answers

Simplify the following:
(6 x y z x z)/2

6/2 = (2×3)/2 = 3:
3 x y z x z

3 x y z x z = 3 x^2 y z^2:
Answer: 3 x^2 y z^2

Round each number to the nearest whole number.

What is the best estimate for the sum of 317.38 82.21?

A.
410

B.
400

C.
399

D.
390

Answers

The answer should be c

317.38 + 82.21 = 399.59

.5 rounds up

ANS is 400

A parasail is 400 feet above sea level m. Write a positive or negative integer that represents the situation

Answers

sea level is 0. Anything above sea level is positive. Anything below sea level is negative.

And since this one is 400 ft above sea level, then it is 400 (positive)

Answer:

[tex]\displaystyle 400[/tex]

Step-by-step explanation:

Anything below sea-level [below 0] is negative [−], and anything above sea-level [above 0] is positive [+].

I am joyous to assist you anytime.

Use the diagram to identify a segment parallel to HE

Answers

A few are AB, and GF. All of which are Parallel to HE.

Two segments are called parallel if they do not intersect each other anywhere.

Here we can see that AB , CD and FG are the three line segments that are parallel to HE.

So answer is AB, CD and FG.

Use foil to explain how to find the product of (a+b)(a-b). Then describe a shortcut that you could use to get this product without using foil.

Answers

FOIL stands for Front Outter Inner Last

F- multiply the first two terms axa= a^2
O- multiply the two terms on the outside a x -b= -ab
I- multiply the two inner (middle) terms - b x a= ab
L- multiply the last variable in each term= b^2

A shortcut without using FOIL is called the difference of squares and can be rewrote as (a^2-b^2)

Using the FOIL method -
Firsts: a×a= a^2
Outers: a×-b= -ab
Inners: b×a= ab
Lasts: b×-b= -b^2

Combine -
a^2-ab+ab-b^2
= a^2-b^2

This particular pair of binomial brackets with a + and a - in them can be expanded with the difference of two squares:
(a+b)(a-b) = a^2-b^2
This works for binomial brackets with a + and a - in each of them, and where the two terms in each bracket are the sameFor example:
(x+5)(x-5)= x^2-25
So remember,
Difference
Of
Two
Squares,
Abbreviated as D.O.T.S

Jane has a checkbook balance of $68 she then writes two checks for $5 in one 46250 she also deposit $75 she then uses her calculator to determine her new balance in which of the following is a correct series of keys

Answers

68 - 5(2) + 75
68 - 10 + 75
58 + 75
133

3 is less than y minus 2.

Answers

Y-2-3

To solve it the answer would be
Y-5

Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius.One day the high temperature in Edison,NJ,was 95 degrees Fahrenheit.What was the high temperature in degrees Celsius

Answers

95 = 9/5C + 32

63 = 9/5C

9C = 315

C = 35

Degrees Celsius is 35

Need help ASAP. Please! Thank u☺️

Answers

I would range it from 2 to 30.
This is because the lowest value is 2 and the highest value is 30.
Hope this helps!

A freight train is half a mile long. it travels at a speed of 60 mph. it comes to a tunnel that is 1 mile long. how long will it take the train to pass completely through

Answers

It would take the train 1 minute to pass through the tunnel.

1 ÷ 60 = 1/60 mph
1/60 mph also equals 1 min, since there are 60 min in an hour

Hope this helps!

HELP NOW I WILL GIVE BRAINLEST!!!
What type of association does the graph show between x and y?

A scatter plot is shown. Data points are located at 1 and 5, 2 and 4, 3 and 3, 4 and 2, 5 and 1, 6 and 0.
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association

Answers

Answer: Choice C) Linear negative association

-----------------------------------------------------------------------------------------------

The given points are:
(1,5)
(2,4)
(3,3)
(4,2)
(5,1)
(6,0)

The x values are: 1, 2, 3, 4, 5, 6
The y values are: 5, 4, 3, 2, 1, 0
In the same order

As x increases by 1, y decreases by 1
So we have perfect negative linear correlation

Side Note: The equation of the line that goes through all of the points is the equation y = -x+6 which can be written as x+y = 6. This line has a negative slope (slope = -1)

He’s rightAnswer:

Step-by-step explanation:

Organize the following expressions from greatest to least by number of terms:
I. x + 2xyz
II. 3x + y + z
III. 2x2y + x2 − 3x + 4
IV. 9x2yz

Answers

the order is III, II, I, IV

Answer:

[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]

Step-by-step explanation:

We are given expressions in the question.

Term in an expression:

Each expression constitute terms.A term can be a number, a variable, or a constant multiplied by a variable or variables.Each term in an algebraic expression is separated by a + sign or - sign.

We need to find the number of terms in each expression:

[tex]x + 2xyz\\\text{Number of terms}= 2[/tex]

[tex] 3x + y + z\\\text{Number of terms}= 3[/tex]

[tex]2x^2y + x^2 - 3x + 4\\\text{Number of terms} = 4[/tex]

[tex]9x^2yz\\\text{Number of terms} = 1[/tex]

Arranged from greatest to least by number of terms:

[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]

he short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.

If the perimeter of the rectangle is 22 inches, what is the value of the unknown number?

a0 inches

Answers

The sum of two adjacent sides is 11 inches, so the long sides are 9 inches. The "unknown number" must be 12.

At a local fitness center, members pay an $8 membership fee and $3 for each aerobics class . Nonmembers pay $4 for each Aerobics class. For what number of aerobics classes will the cost for members & nonmembers be the same?

Answers

This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both members and nonmembers.

Since members pay $3 for each aerobics class, we can represent this part of the equation as 3c. Members also pay a one time $8 membership fee, so we just add the 8 to the 3c:

3c + 8

Since nonmembers pay $4 for each aerobics class, we can represent this part of the equation as 4c. They do not have to pay a one time membership fee, so our equation will just be:

4c

To determine when the cost (c) of the aerobics class will be the same for both members and nonmembers, we set the two equations equal to each other:

3c + 8 = 4c

Then, we solve for c. First, the variables must be on the same side of the equation. We can do this by subtracting 3c from both sides of the equation:

8 = 1c.

Last, we divide both sides by 1. So c = 8.

This means that the cost of classes will be the same for members and nonmembers at 8 classes. If we want to check our answer, we can plug 8 back into each equation:

3c + 8
= 3 ( 8 ) + 8
= 24 + 8
= 32

4c
= 4 ( 8 )
= 32

If five bags of mulch covers 32 square feet, how many square feet could 16 bags covers?

Answers

Answer:

102.4 square feet

Step-by-step explanation:

(32/5)*16=102.4

Final answer:

One bag of mulch covers 6.4 square feet. Therefore, 16 bags will cover 102.4 square feet.

Explanation:

To find out how many square feet 16 bags of mulch will cover, we need to first determine the coverage of one bag. If 5 bags cover 32 square feet, then one bag covers 32 ÷ 5, which equals 6.4 square feet. Multiplying the area covered by one bag by 16 bags gives us a total coverage, of 6.4 × 16, which equals 102.4 square feet. Therefore, 16 bags of mulch will cover 102.4 square feet.

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