1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pashok25 [27]
3 years ago
8

Workers at the Pythagorean Construction Company are building a new house. They need to make sure that proper right triangles are

formed to ensure that a safe house is built. What statement should the builders use to ensure that right triangles are formed?
If the sum of the two shorter sides equals the longest side, then the triangle is a right triangle.
If the sum of the squares of the two longer sides equals the square of the shortest side, then the triangle is a right triangle.
If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
If the difference of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
Mathematics
2 answers:
dimaraw [331]3 years ago
4 0
Correct answer:

"<span>If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle"

the Pythagorean theorem states that in a right triangle, the sum of the squares of the shortest sides is equal to the square of the largest side, the hypotenuse. 

Also, 
If we have a triangle with side lengths a, b and c, where a and b are the shortest, and "a squared plus b squared = c squared" then the triangle is a right triangle.

 </span>
Alchen [17]3 years ago
4 0

Answer: The correct answer is C. I tried it already:)

You might be interested in
The right expression to calculate how much money will be in an investment account 14 years from now if you deposit $5,000 now an
Svet_ta [14]

Answer:

The expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].

Step-by-step explanation:

The formula to compute the future value is:

FV=PV[1+\frac{r}{100}]^{n}

PV = Present value

r = interest rate

n = number of periods.

It is provided that $5,000 were deposited now and $3,000 deposited after 6 years at 10% compound interest. The amount of time the money is invested for is 14 years.

The expression to compute the amount in the investment account after 14 years is,

FV=5000[1+\frac{10}{100}]^{14}+3000[1+\frac{10}{100}]^{14-6}\\FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}

The future value is:

FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}\\=18987.50+6430.77\\=25418.27

Thus, the expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].

4 0
3 years ago
Jason leaves Detroit at 2:00 PM and drives at a constant speed west along I-96. He passes Ann Arbor, 40 mi from Detroit, at 2:50
Vladimir [108]

Answer:

d = 48t will represent the distance 'd' traveled in 't' hours.

Step-by-step explanation:

Jason leaves Detroit at 2:00 PM and passes through Ann Arbor at 2:50 PM which is 40 mi distant from Detroit.

Speed during this journey was constant.

Jason traveled 40 mi in 50 minutes or \frac{5}{6} hours from Detroit to Ann Arbor.

By the formula,

Speed = \frac{\text{Distance traveled }}{\text{Time taken to travel this distance}}

Speed = \frac{40}{\frac{5}{6}}

           = 48 mi per hour

If he travels 'd' miles in 't' hours then by the formula of speed,

48 = \frac{d}{t}

d = 48t

7 0
4 years ago
Translate and solve: <br> The product of a number<br> and -8 is more than 64
mr Goodwill [35]

Answer:

x < -8

Step-by-step explanation:

Step 1: Translate

Product = multiplication = -8(x)

More than = >

64 = 64

Step 2: Write out inequality

-8x > 64

Step 3: Solve

x < -8

5 0
3 years ago
Find the area of ABC
shutvik [7]

Answer:

24 ft sq.

Step-by-step explanation:

formula for area of triangle is: bh/2

8(6)/2 = area

48/2 = area

24 = area

6 0
3 years ago
Lizzie has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Algebraically determine how many of each t
Gnom [1K]

Lizzie has 18 dimes and 12 quarters

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

Given that LIzzie has 30 coins

number of dimes + number of quarters = 30

d + q = 30 ---- eqn 1

Also given that the coins total $ 4.80

number of dimes x  value of 1 dime + number of quarters x  value of 1 quarter = 4.80

d \times 0.10 + q \times 0.25 = 4.80

0.1d + 0.25q = 4.8 ------ eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

d = 30 - q ---- eqn 3

Substitute eqn 3 in eqn 2

0.1(30 - q) + 0.25q = 4.8

3 - 0.1q + 0.25q = 4.8

0.15q = 1.8

<h3>q = 12</h3>

From eqn 3,

d = 30 - 12

<h3>d = 18</h3>

Thus she has 18 dimes and 12 quarters

6 0
4 years ago
Other questions:
  • Dave has a board that is 314 feet long. He cut off 178 feet from the board. How long is the remaining piece of board?
    8·1 answer
  • Which equation has the solution x = 9?<br><br><br> Select each correct answer.
    5·2 answers
  • Tickets for wisconsin state fair cost $13 for adults and $7 for children. After the first day, the wisconsin state fair sold 900
    7·1 answer
  • Describe the 2 algebraic methods you can use to find the zeros of the function f(t)=-16t^2+400.
    14·1 answer
  • I need help please help
    10·2 answers
  • Need help,please and thank you
    6·1 answer
  • REDENHUIS
    13·1 answer
  • What are the first five terms of the sequence defined by the given function?
    5·1 answer
  • Help pls! I need help to finish :(<br> No Links!
    8·1 answer
  • I’m really stupid. I need help
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!