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
Ivanshal [37]
2 years ago
15

A right triangle has leg lengths of 9 units and 12 units. Write an equation that can be

Mathematics
1 answer:
LenKa [72]2 years ago
4 0
<h2>The Pythagorean Theorem</h2>

The Pythagorean Theorem: a^2+b^2=c^2

  • <em>a</em> and <em>b</em> are the two legs in a right triangle
  • <em>c</em> is the hypotenuse (the longest side of a right triangle; opposite the 90° angle
  • <em>*keep in mind that this theorem applies only to right triangles</em>

<h2>Solving the Question</h2>

We're given:

  • Legs = 9 units and 12 units
  • Hypotenuse = <em>c</em>

<em />

Plug these measurements into the Pythagorean theorem:

a^2+b^2=c^2\\9^2+12^2=c^2

⇒ Combine like terms:

81+144=c^2\\c^2=225

<h2>Answer</h2>

c^2=225

You might be interested in
A set of twins, Andrea and Courtney, are initially 10 years old. While Courtney remains on Earth, Andrea rides on a spaceship th
SVETLANKA909090 [29]

The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.

<h3>How can Andrea's new age be calculated?</h3>

The time dilation using the Lorentz transformation formula is presented as follows;

t' =  \frac{t}{ \sqrt{1 -  \frac{ {v}^{2} }{ {c}^{2} } } }

From the question, we have;

The spaceship's speed, <em>v</em> = 0.6•c

∆t = Rest frame, Courtney's time, change = 10 years

Therefore;

\delta t' =\delta t \times  \sqrt{1 -  \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8

The time that elapses as measured by Andrea = 8 years

Andrea's age, <em>A</em>, at the end of the trip is therefore;

A = 10 years + 8 years = 18 years

Learn more about the Lorentz transformation formula here:

brainly.com/question/15544452

#SPJ1

3 0
1 year ago
I just need a little help on this ??! Please.
lawyer [7]

1. Since it's m - 7 you would have 7 to both sides so you would in fact have m < 13. If you double check your answer, you see that if m is say 12 (because 12 is obviously less than 13), 12 - 7 < 6

2. Again, use the same process on this problem as the first one. Add 8 to each sides because it's you're subtracting 8 from n. So you end up with n > 13. Check your answer. Say n is 14. 14 - 8 > 5

3. This one is different because you are adding 5 to p. So in order to get p by itself, you need to subtract 5 from both sides. p < 5. Say p is 4, 4 + 5 < 10.

When working with problems like these, you need to isolate the variable on one side and get it by itself.

5 0
3 years ago
Write the explicit formula for the geometric sequence.<br><br> 64, 32, 16, 8, ...
Setler [38]

Answer:

aₙ = 1/2 x aₙ₋₁     n≥2

Step-by-step explanation:

aₙ = 1/2 x aₙ₋₁     n≥2  

a₁ = 64

a₂ = 1/2 x 64 = 32

a₃ = 1/2 x 32 = 16

7 0
3 years ago
7 + 2y = 8x 3x - 2y = 0 Solve the system of equations by substitution. (70/3, 140/9) (7/5, 21/10) no solution coincident
Wittaler [7]
So we have the system of equations:
7+2y=8x equation (1)
3x-2y=0 equation (2)

To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for x in equation (2):
3x-2y=0
3x=2y
x= \frac{2}{3}y equation (3)

Replacing equation (3) in equation (1):
7+2y=8x
7+2y=8( \frac{2}{3} y)
7+2y= \frac{16}{3} y
7= \frac{10}{3} y
y= \frac{7}{ \frac{10}{3} }
y= \frac{21}{10} equation (4)

Replacing equation (4) in equation (3):
x= \frac{2}{3}y
x=( \frac{2}{3} )( \frac{21}{10} )
x= \frac{7}{5}

We can conclude that the solution of our system of equations is <span>(7/5, 21/10)</span>
5 0
3 years ago
If you are standing 300ft from a building and the building is 200 ft tall, what is the angle of elevation formed with the ground
valentinak56 [21]
The answer is 49.2ft I think
6 0
2 years ago
Other questions:
  • Determine the number of triangles formed inside the polygon.
    6·1 answer
  • The equation T^2=A^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A
    6·1 answer
  • The ratio of adults to children on a train in 7:2. There are 245 adults on the train. Find the total number of people on the tra
    10·1 answer
  • Omar's credit card has an APR of 26% calculated on the previous monthly
    6·1 answer
  • Create an inequality that represents the verbal description below.
    8·1 answer
  • Yesterday, Bethany sent 60 messages. She said 15% of them were to her best friend. How many text messages did Bethany send to he
    12·1 answer
  • Assume z = x + iy, then find a complex number z satisfying the given equation. d. 2z8 – 2z4 + 1 = 0
    9·1 answer
  • Solve the equation: -2x(x+8)+24=11-3x
    12·2 answers
  • Plz help I need with question I give thanks
    8·1 answer
  • A Which diagram labels the base and height of a triangle correctly? height base diagram B height height base diagram C base?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!