Pythagorean Theorem question

Pythagorean Theorem Question

Answers

Answer 1
To find the area, you first must find the hypotenuse of the top triangle.
a^2 + b^2 = c^2
18^2 + 24^2 = c^2
18 and 24 are both divisible by 6, so you can divide them both by 6 to make the equation easier to solve.
3^2 + 4^2 = c^2
25 = c^2, so c = 5
Multiply 5 by the 6 we divided by earlier to get a hypotenuse of 30.
The area equals base times height divided by two, so we can divide 84 by 2 and then multiply by 30 to get the area.
84/2= 42
42 x 30 = 1260 inches squared is the area
Answer 2
Answer :

Your answer is going to be 1260

Explanation:

Your Welcome


Related Questions

Amanda made $276 for 12 hours of work, At the same rate, how many hours would she have to work to make $115

Answers

Answer:

5 hours

Step-by-step explanation:

276/12= 23

115/23= 5

5 hours
276 divided by 12 = 23
115 divided by 23 = 5

whats the answer for (1 + 1 x 15 /3)sqr2

Answers

Answer:

Answer should be 36

Step-by-step explanation:

I used a calculator, thought I'm not 100% sure what your question is. Please correct me if i'm wrong.

(01.02 LC)
Solve
3x - 15
= 4x
2
Ox= 11
Ox=6
Ox= -3
Ox= -15
I need help

Answers

Answer:x = -15Hope this helps!!

A satellite travels 12 miles in 15 minutes at a constant speed. What is the satellite’s speed in mile per hour?

Answers

Answer: 46 mph

Step-by-step explanation: 15*4=60 so 12*4=46

I hope this helps!

For what value of x is PQ || BC?
A 5
B. 6
C. 7
D. 8

Answers

Answer:

C. 7

Step-by-step explanation:

[tex] In\: \triangle ABC\\

\overline{PQ} \parallel \overline {BC}.. (given) \\[/tex]

Therefore, by Basic Proportionality theorem:

[tex] \frac{AP}{PB} = \frac{AQ}{QC} \\\\

\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\

\therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}[/tex]

Jasmin's dog weighs 62 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 40 pounds.
Jasmin's dog can lose an average of 3 pounds every week. Write the solution to an inequality that describes all possible number of weeks
z for which her dog can be at a healthy weight.

Answers

Answer:

62-3z ≤ 40

Step-by-step explanation:

62 is the starting point. jasmin's dog can lose 3 lbs per week and z represents the number of possible weeks. then we know it has to be less than or equal to 40. so put that there.

What is the value of the expression 5y² + 4x when x = 2.5 and y = 3?

Answers

Answer:

55

Step-by-step explanation:

the value of the expression 5y² + 4x when x = 2.5 and y = 3 will be 55.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 5y² + 4x

To calculate the value of expression at x = 2.5 and y = 3

Substitute the value of x and y in the expression:

=> 5y² + 4x

=> 5* 9 + 4 * 2.5

=> 45 + 10

=> 55

therefore, 55 is the value of the expression 5y² + 4x when x = 2.5 and y = 3.

Learn more about expression here:

https://brainly.com/question/23246712

#SPJ3

8 1/6 - 2 7/8 =

BRAINLIEST

Answers

Answer:

5 7/24

Step-by-step explanation:

Convert to improper: 49/6-23/8=254/48 which is 5 7/24

Hope this helps plz mark brainliest :D

Answer:

5  7/24≈5.292

Step-by-step explanation:

Subtract

8  1/6 -2 and 7 over 82=127 over 2

Convert mixed number to improper fraction

8 1/6= 8x6/6+ 1/6=16+7/8=23/8

Convert mixed number to improper fraction

2 7/8= 2x8/8+7/8=16+7/8=23/8

Find common denominator

49/6-69/24=196-69/24=127/24

24 is the least common multiple of denominators 6 and 8. Use it to convert to equivalent fractions with this common denominator.

Subtract

196/24- 69/24= 196-69/24=127/24

Simplify

127/24= 5 7/24

Answer quick please!

Answers

I think the answer is 22 I added all the sides and multiply 2/3

solve each system of equations using substitution. x=y+1 x=3y+2​

Answers

Answer:

x=1/2

y=-1/2

Step-by-step explanation:

x = y+1

x = 3y+2

Substitution means that you solve one equation for a variable by plugging it into the other equation. In this case, the first part is already done for you, and all you have to do is plugging in.

As you're given the value of the x in both equations, it does not matter which equation you plug into. You can plug either equation into one another.

For this, I will show you by plugging in the bottom equation for the top equation.

x = y+1

x = 3y+2

As we know x=3y+2, you must SUBSTITUTE that for the "x" in the top equation.

3y+2 = y+1

From there, you must solve it for the "y" value. In order to solve for the "y" value, you must get the "y" by itself onto one side.

So, subtract y from both sides.

(3y-y)+2 = (y-y)+1

Rewrite the equation.

2y+2 = 1

Remember, the goal is to get the "y" BY ITSELF.

There's a "+2" on the side of the y, so that has to be cancelled out. You can cancel it out by doing the OPPOSITE of adding, which is subtracting. So subtract both sides by 2.

2y+(2-2)=(1-2)

When subtracting a bigger number from a smaller number. The pattern is: Keep it, flip it, flip it.

Keep the 1.

Flip the - to a +

Flip the 2 into a -2.

So you get 1+(-2) which is -1. Now, rewrite the equation.

2y=-1

You want the y by itself. Right now, the y is being multiplied by 2, so you have to do the OPPOSITE, which is division. Divide both sides by 2.

y=-1/2

Now, use this value to plug into your ORIGINAL equations (you can pick either)

x = y+1 OR x = 3y+2

x= -1/2 + 1

x=1/2

(1/2, -1/2)

Which of the following equations is written in vertex form?
Oy= 2x² + 3x – 8
Oy= 3 (x + 5) (x - 2)
O y= -2(x + 5)2 – 2 .
O y = 3x – 5
Need help please!!!

Answers

The third one is correct.

Find the product. Write your answer as a mixed number in simplest form. 5 2/9 x 2 3/7

Answers

Answer:

12, 43/63

Step-by-step explanation:

Answer: 12 43/63

Step-by-step explanation: it was correct on my test

jess makes salad dressing by mixing lemon juice and olive oil in the ratio 2:5 by volumr.me. shes uses 0.5 litres of lemon juice. work out how much olive oil she uses to make the salad dressing.

Answers

Answer:

its 2.5 liters of olive oil because .5 times 5 equals 2.5 needed to satisfy ratio.

what this is common denominator of 3/3c² 1/9c³ and. x-1/6c. ?

a.108
b.18c³
c.54c
d.9c6​

Answers

It’s going to be 18c³

Step-by-step explanation:

: a common multiple of the denominators of a number of fractions. 2 : a common trait or theme.

Please help me with this :((

Answers

Answer:x=5 or F

Step-by-step explanation:(8x+6)/(5x-2)=2, because it is the midsegment, cross multiply, and you get 2x=10, so x=5

Can someone help me on this? Will mark brainleist if they get it right!

Answers

Answer:

2.5

Step-by-step explanation:

2500 ÷ 1000

*Sorry if this is wrong*

I will brainlist HELP

Answers

Answer:

x = 7

y = 10

Step-by-step explanation:

<K and <NLK are marked as being equal.

That means that KN and LN are equal.

So LN = 6

y - 4 = 6

y = 4 + 6 = 10

For the same reason LN = LM

That means that x + 3 = 10

x = 10 - 3

x = 7

It takes Rebekka 1/2 hour to jog 1 1/4 miles.
Which calculation could be used to find her unit rate in miles per hour?

A. multiply: 1 1/4 x 1/2
B. multiply: 1/2 x 2
C. divide: 1 1/4 / 1/2
D. divide: 1/2 / 1 1/4

Answers

D because we have divide to find the unit rate.
D because it correct and I’m smart I think

If you subtract 16 from my number and multiply the difference by -3, the result is -39 what is my number

Answers

Answer:

29

Step-by-step explanation:

Start with -39. We need to do inverse operations to figure out the solution. -39 divided by -3 is 13, and 13 plus 16 is 29.

Answer:

29

Step-by-step explanation:

-39=-3(n-16)

13=n-16

29=n

In the diagram below, find the value of x to the nearest hundredth

Answers

Answer:

x = √324 = 18

Step-by-step explanation:

x shows up only in the second problem, so I'll focus on that problem.

This is a right triangle because one of the three angles is 90 degrees.

Thus, the Pythagorean Theorem applies:  x^2 + 24^2 = 30^2, or

x^2 = 900 - 576 = 324

Then x = √324 = 18

help
i dunno it
please please

Answers

Answer:

it takes 24 days

Your making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much salt is needed for one teaspoon of baking soda

Answers

Answer:

1/2 teaspoon salt

Step-by-step explanation:

We can make this into a ratio of salt:baking soda

1/8:1/4

now, how many 1/4 will we need to make 1?

If we multiply 1/4 by 4, we get one. So, we should do the same to 1/8!

1/8*2=4/8, or 1/2 teaspoon

4y - 9 - 6y = 2(y + 5) - 3 solve for y

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{y = - 4}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4y - 9 - 6y = 2(y + 5) - 3}[/tex]

Subtract like terms : 6y from 4y

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2(y + 5) - 3}}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2 *y + 2 *5 \: - 3}}[/tex]

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 10 - 3}}[/tex]

Subtract 3 from 10

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 7}}[/tex]

Move 2y to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y - 9 = 7}}[/tex]

Move 9 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y = 7 + 9}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{ - 4y =7 + 9}}[/tex]

Add the numbers : 7 and 9

[tex] \longrightarrow{ \sf{ - 4y = 16}}[/tex]

Divide both sides by -4

[tex] \longrightarrow{ \sf{ \frac{ - 4y}{ - 4} = \frac{16}{ - 4}}} [/tex]

Remember : Dividing a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \boxed{ \sf{y = - 4}}}[/tex]

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

Let's check whether the value of y is -4 or not.

Verification

L.H.S : [tex] \sf{4y - 9 - 6y}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{4 * (- 4 )- 9 - 6 * (- 4)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 - ( - 24)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 + 24}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 + 15}}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

R.H.S :[tex] \sf{2(y + 5) - 3}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{2( - 4 + 5) - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 *1 - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 - 3 }}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

∴ L.H.S = R.H.S

The value of y is -4

And we're done!

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

Rules for solving an equationIf any equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the terms with the variable to left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Best regards! :D

~TheAnimeGirl

What is the equation of the line parallel to 8x−16y=−14 and passing through (3,0)?
6x−12y=18
6x+12y=18
12x−6y=−18
12x+6y=18

Answers

Answer:

2y = x - 3

Step-by-step explanation:

Parallel lines can be defined as lines that do not intersect and as a result of this, parallel lines have the same slope but different intercepts.

Given the following data;

Points (x, y) = (3, 0)

Equation is 8x - 16y = -14

To find the equation of the line?

First of all, we would have to determine the slope of the line;

y = mx + c ......equation 1

8x - 16y = -14

Rearranging the equation, we have

16y = 8x + 14

Dividing through by 16, we have;

y = 8/16(x) + 14/16

y = 1/2(x) + 7/8

Therefore, the slope, m is 1/2

*To find the intercept*

Since the line is parallel we would use, m = 1/2

Substituting the values into equation 1, we have;

y = mx + c for x = 3 and y = 0

0 = 1/2(3) + c

c = -3/2

Re-writing the equation of line;

Slope, m = 1/2

Intercept, c = -3/2

y = 1/2(x) + (-3/2)

Multiplying all through by the lowest common denominator "2"

2y = x - 3

Whats is the answer for 30x10283

Answers

Answer: 30 x 10,283= 308,490

Step-by-step explanation: 30 multiplied by 10,283 equals 308,490

Find the area of this parallelogram.
5.2 cm =height
8.4 cm =width​

Answers

Answer:

The answer is 43.68.

Step-by-step explanation:

Answer:

43.68

You need to multiply height times width in order to find area so I multiplied 5.2 times 8.4

Which points can be used to create a line with a zero slope through (3,-2)

Answers

Answer:

(0-2) point can be use to create a line

Answer:

Step-by-step explanation:

line on x-axis or parallel to x-axis has slope=0

so (-5,-2),(6,-2)(-3,-2),(0,-2)

all these points lie on the line y=0x-2

or y=-2

answer the question for good boy stars

Answers

Answer:

its-5.5°C

explanation

combine it

Answer:

the answer is br-br

Step-by-step explanation:

that is answer bro

Parker the dog is 2 feet 6 inches long. There are 2.54 centimeters in 1 inch. How many centimeters is Parker the dog?​

Answers

Answer:

Parker the dog is 76.2 centimeters long.

Step-by-step explanation:

Parker the dog is 2 feet 6 inches long. There are 2.54 centimeters in 1 inch. How many centimeters is Parker the dog?​ 2 feet = 12 inches. 2(12) + 6 = 30

30(2.54) = 76.2.

Please let me know if you have anymore questions.

Good Luck! :)

1 foot = 12 inches

1 inch = 2.54 centimeters

1 foot = 30.48 centimeters

2 x 30.48 =  60.96

6 x 2.54 = 15.24

60.96+15.24=76.20

Parker the Dog is 76.20 centimeters tall.

Help pls I'm gonna be screwed if you don't get this pls pls pls anyone who knows math well pls help me I'm gonna cry it's over due please:( :(

Just last two please

Answers

Answer:

WRONG ALL

Step-by-step explanation:

3. Should be:

[tex] - 4 \frac{7}{8} \times \frac{2}{3} \\ \\ - \frac{39}{8} \times \frac{2}{3} \\ \\ \frac{ -13}{4} [/tex]

4. Should be:

[tex] - 3 \frac{1}{5} + - \frac{2}{3} \\ \\ - 3 \frac{3}{15} - \frac{10}{15} \\ \\ - 3 \frac{7}{15} [/tex]

I hope this helps you :)

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