Ms. McGuirk wants to know if she built her son's new sandbox with a perfect right angle or not? The shorter sides are 15 feet and 8 feet what should the measure of the 3rd side be to make it a perfect right angle?

Answers

Answer 1

Answer:

17 feet

Step-by-step explanation:

A right angle has 3 sides: the adjacent, the opposite and the hypotenuse.

The hypotenuse is the largest side of the right angle

The shorter sides are 15 feet and 8 feet which should represent opposite and adjacent sides respectively

Opposite = 15 feet

Adjacent = 8 feet

Hypotenuse = x feet

Using Pythagoras theorem to solve

Hypotenuse ² = opposite ² + adjacent ²

x² = 15² + 8²

x² = 225 + 64

x² = 289

Find the square root of both sides

√x² = √289

x = 17 feet

The 3rd side is 17 feet


Related Questions

While on vacation in Dallas, Texas, the cab ride for the DFW airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cab driver charges $1.50 permile for the entire trip. Write an equation that can be used to determine how much a cab ride would cost anywhere in Dallas.

Answers

Answer:

c=1.50x+3, where:

c=total cost of a cab ride anywhere in Dallas.

x=number of miles

Step-by-step explanation:

From the information given, you can multiply the price per mile for the number of miles:

1.5*15=22.5

You know that the total cost of the cab ride for the DFW airport to the hotel was 25.50:

25.50-22.50=3

This indicates that there is an additional charge for $3.

From this, you can say that the total cost of a cab ride anywhere in Dallas would be equal to the price per mile for the number of miles plus 3. According to this, the equation to calculate the total cost of a cab ride would be:

c=1.50x+3, where:

c=total cost of a cab ride anywhere in Dallas.

x=number of miles

5(–9x + 1) + 5 = –10x + 5(–7x + 2)

Answers

Answer:-

here's the answer

y = - x + 7 on a graph

Answers

Answer:

(See the attachment)

Step-by-step explanation:

None

PLEASE HELP SEE PHOTO
[-00,-3] or (6,o)
(-οο,-3] or [6,o)
(-0,-3) or (6,o)
(-η, -3] or (6, ω)

Answers

The correct answer is B because it is a closed dot which means it’s bracketed on the 3


Number 16 please help me

Answers

Answer:inverse of addition!

Step-by-step explanation:

A bike rental company rents beach bikes. They charge an initial fee plus $1 for each hour the bike is rented. Chad rented a bike for six hours and was charged $10. How much is the initial fee?-I need help with the first step and I NEED HELP ASP!!

Answers

Answer/Step-by-step explanation:

Since chad was charged 1 dollars for each hour for 6 hours, we can represent this as 1 x 6. Now subtract 6 dollars from the bill for the hours and it leaves the initial fee of $4 for rental.

Now check your work:

(1 x 6) + 4 = 10

Which is the quotient of 17. 51 +3.4?
O A. 5.07
O B. 5.15
OC. 5.21
D. 5.25 HELP THIS ENDS IN 10 MINUTES

Answers

Answer:

5.15

Step-by-step explanation:

17.51 / 3.4 = 5.15

Answer and Explanation

5.15 or [tex]\frac{17.51}{3.4}[/tex]

__________________________________________________________

We can prove this is the answer by dividing both numbers.

__________________________________________________________

[tex]17.51[/tex] = [tex]\frac{1751}{100}[/tex]

[tex]3.4[/tex] = [tex]\frac{17}{5}[/tex] = [tex]3\ \frac{2}{5}[/tex]

__________________________________________________________

[tex]\frac{1751}{100}[/tex] [tex]\div[/tex] [tex]\frac{17}{5}[/tex] = [tex]?[/tex]

[tex]\frac{17.51}{3.4}[/tex] [tex]or[/tex] [tex]5.15[/tex]

__________________________________________________________

So, that means the answer is [tex]5.15[/tex]

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Use the given information to solve for x.

x+3
2x-9
What is x?

Answers

Answer:9

Step-by-step explanation:

Name the property that justifies going from the first statement to the second
statement.
5x = 35
x=7
O Division Property
O Distributive Property
Reflexive Property
O Multiplication Property
O Symmetric Property of Congruence

Answers

Answer:

division property

Step-by-step explanation:

since the 5 is attached to the x, you want to divide it on both sides. 35/5=7. hope this helps :)

The revenue for a company producing widgets is given by y = -10x2 - 25x + 125, where x is the price in dollars for each widget. The cost of the production is given by y = 60x - 10. Determine the price that will allow the production of the widget to break even.

Answers

When they create 3.44 products and make a revenue of $76.027, they will break even.

Step-by-step explanation:

To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).

Ben spent $430 this month and earns 2% cash back. How much cash back 2 points
will he receive?
*

Answers

Answer:

$8.60

Step-by-step explanation:

What is the solution of the system of equations?

Help

Answers

Answer:

(0, 5)

Step-by-step explanation:

50=5x−3−8x−7
what is X?

Answers

Answer:

x = -20

Step-by-step explanation:

Solve for x:

50 = 5 x - 8 x - 7 - 3

Grouping like terms, 5 x - 8 x - 7 - 3 = (5 x - 8 x) + (-3 - 7):

50 = (5 x - 8 x) + (-3 - 7)

5 x - 8 x = -3 x:

50 = -3 x + (-3 - 7)

-3 - 7 = -10:

50 = -10 - 3 x

50 = -3 x - 10 is equivalent to -3 x - 10 = 50:

-3 x - 10 = 50

Add 10 to both sides:

(10 - 10) - 3 x = 10 + 50

10 - 10 = 0:

-3 x = 50 + 10

50 + 10 = 60:

-3 x = 60

Divide both sides of -3 x = 60 by -3:

(-3 x)/(-3) = 60/(-3)

(-3)/(-3) = 1:

x = 60/(-3)

The gcd of 60 and -3 is 3, so 60/(-3) = (3×20)/(3 (-1)) = 3/3×20/(-1) = 20/(-1):

x = 20/(-1)

Multiply numerator and denominator of 20/(-1) by -1:

Answer: x = -20

Answer:

x=-20

Step-by-step explanation:

Combine like terms and solve for x.

50= -3x-10

60= -3x

x=-20

7. Use the base angles of triangle ABC to find the measure of angle CBD.

Answers

Answer:

96

Step-by-step explanation:

For those of you who have an 84 angle for angle D and E isosceles trapezoid the base legs will be equal due to the congruent legs, all of the interior angles of a trapezoid will add up to 360, D and E equal 84, 360-84-84 would be 192, now since the base angles are equal due to the congruent legs 192/2 would be 96. Angles B and C are 96.

The external angles of a triangle are those created outside of it. The measure of ∠CBD is 132°.

What is an exterior angle?

The external angles of a triangle are those created outside of it. In other terms, a triangle's external angle is the angle produced between one of its sides and its neighbouring extended side.

The diagram for the given condition can be made as shown below.

In a triangle, the sum of two interior angles is equal to the exterior angle for the angle which is left. Therefore, the measure of ∠CBD can be written as,

∠CBD = ∠BAC + ∠BCA

∠CBD = 43° + 89°

∠CBD = 132°

Hence, the measure of ∠CBD is 132°.

The complete question is:

Triangle ABC with the measure of ∠A equal to 43° and the measure of ∠C equal to 89°. Ray AD passes through point B, creating external angle CBD.

Based on the information provided, what is the measure of ∠CBD?

m∠CBD =__________.

Learn more about Exterior Angle:

https://brainly.com/question/2406986

#SPJ2

Find the value of 3.4(4 + 7) + 23 – 2.67.

Answers

Answer:

The answer is 42.73

Step-by-step explanation:

The math really isn't that hard. And also I had answered the question before and got it correct. :))

Answer:

42.73

Step-by-step explanation:

4 * 8-5 =12 symbols to make true number sentences

Answers

Using Pedmas  to get the equation to be true add parenthesis around the 8-5:

4 x (8-5) = 12

This becomes 4 x 3 = 12 which is true.

4x3 =12; true . 4x (8-5)=12

Please anwser and show a explanation

Answers

Answer:

3x + 2y is <to 30

(the second answer)

Step-by-step explanation:

So basically the x is going to be the first thing mentioned, so roses, which are 3$. 3x. Carnations are going to he 2nd and so therefore represented by Y. 2y.

3x + 2y (you're adding them)

It says she does not want to spend more than 30$ and so because there is no less than or equal to sign, it would be the first answer.

Match the correct items. 1. checkbook record outstanding checks 2. service charge register 3. previous and ending balances reconciliation 4. verifies bank and checkbook balances agree once a month 5. bank statement monthly fee 6. not included in bank statement account summary

Answers

Answer:

I will answer below:

Step-by-step explanation:

Checkbook Record -> Register

Service Charge -> Monthly Fee

Previous and ending balances -> Account Summary

Verifies bank and checkbook

balances agree -> Reconciliation

Bank Statement -> Once a month

Not included in the bank statement -> Outstanding checks

Sorry this is kind of late!

need help plez fast :)

Answers

Answer:

The answer is c you're welcome

Step-by-step explanation:

Answer: 150

Step-by-step explanation: just divide 450 by 3

Please help (4x - 1)(2x + 3)

Answers

Answer:

There the answer is simplified and I used Cymath it goes down step by step.

Step-by-step explanation:

I hope I helped! :)

Answer = (1.5, 0.25)

On Wednesday, a local hamburger shop sold a combined total of 282 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?

Answers

Answer:

The annswer is 94 hamburgers

Step-by-step explanation:

hope you have a nice day

Which equation represents the same
linear function as the table below?

Answers

Whatttttt I’m dumb sorry :(

WILL MARK BRAINLIEST!!!!!! Which of the following graphs represents a function?

Answers

Answer:

C

Step-by-step explanation:

PLEASE HELP!!!!!!!!

What is the value of x

3x+14+5x-2=10x-18

Thank you sooooo much have a blessed day

Answers

X = 15
have a wonderful day =)

MATH! THIS IS DUE WHEN CLASS ENDS!!

Answers

the answer is that chen needed to find the mid point of the diagram when she didn’t not do that which made the problem wron

6.
In the diagram below, PO and RS are parallel.
Q
130°
60°
to
R
S
Based on the angle measures in the diagram, what is the value
of x?
A. 70
B. 60
C. 50
D. 40

Answers

It is 60 percent there u go

If f(x)=(1/9)(9x), what is f(3)?

Answers

Answer:

3

Step-by-step explanation:

f(3) = (1/9)(9*(3))

     = 1/9 * 27

      = 3

Clare used 25% less butter this month than last month when baking holiday treats. If she used 240 tablespoons of butter last month, how many tablespoons did she use this month?

Answers

Answer:

180 tablespoons

Step-by-step explanation:

240×.25=60

240-60=180

Answer:

180

Step-by-step explanation:

Ellie and Jamie like to bake cookies. Ellie baked 24 chocolate chip cookies, and Jamie baked p peanut butter cookies. Together they baked a total of 56 cookies. Write an equation that can be solved for p to find the number of cookies Jamie baked?

Answers

p would equal total cookies minus the total chocolate chip cookies:

p = 56 -24

p = 32

There were 32 peanut butter cookies made.

12) It takes Kendra 12 minutes to drive 6 1/3 kilometers. How many kilometers does Kendra drive per minute? SHOW YOUR WORK. A) 2 B)19/36 C)1/6 D) 2 1/3​

Answers

Answer:

36/19

Step-by-step explanation:

So to find this answer you have to divide 12 by 6 1/3. To figure that out I first turned 6 1/3 into an improper fraction (19/3) and then I put 12 over 1. To divide a fraction you have to multiply the dividend by the divisors reciprocal in this case 12/1 x 3/19 which equals 36/19 or 1 and 17/19

Hope this helps lol :D

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