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
tekilochka [14]
2 years ago
11

Toby put a 13 foot ladder against the side of his house. The distance from the base of the house to the top of the ladder is 12

ft. How far is the base of the ladder from the base of the house?
Mathematics
1 answer:
Serggg [28]2 years ago
6 0

Answer:

<h3>5 feet</h3>

Step-by-step explanation:

The set up will give a right angles triangle with:

length of the ladder as the hypotenuse h = 13 foot

The distance from the base of the house to the top of the ladder is the opposite side (y) = 12 feet

The distance of the base of the ladder from the base of the house wil be the adjacent side (x)

Using the pythagoras theorem to get x:

h² = x²+y²

13² = x²+12²

x² = 13²-12²

x² = 169 -144

x² = 25

x = √25

x = 5 feet

Hence the distance of the base of the ladder from the base of the house is 5 feet long

You might be interested in
Determine whether the given lengths can be sides of a right triangle. Explain. 10 in., 24 in., 26 in.
notsponge [240]
10 in, 24 in, and 26 in. By the Converse of the Pythagorean Theorem, the lengths must satisfy the equation c² = a² + b². Let 26 = hypotenuse and 10 and 24 the legs of the triangle.
26² = 10² + 24²
676 = 100 + 576
676 = 676.
Yes, they can be lengths of a right triangle.
4 0
3 years ago
Please help with multiplying binomials! Show your work!<br> (3n+2)(n+3)
snow_tiger [21]
To multiply binomials, use the FOIL method. You start by multiplying the first terms in each binomial, 3n * n. The F stands for first. 

Then you multiply the outside terms, 3n * 3. The O stands for outsides.

Then you multiply the inside terms, 2 * n. The I stands for insides

Then you multiply the last terms, 2 * 3. The L stands for last

Now solve for each, place them in the same equation, and combine like terms.

3n * n = 3n²
3n * 3 = 9n
2 * n = 2n
2 * 3 = 6

Your equation becomes 3n² + 9n + 2n + 6. 

The 9n and 2n can combine together because they are like terms. Your answer becomes:

3n² + 11n + 6
7 0
3 years ago
Which inequality best represents the phrase?
diamong [38]

Im not sure what it is but my best bet would be on A because the rest of them all say greater than 0 and you are trying to find the least.

4 0
2 years ago
Read 2 more answers
Expand each logarithm. log 2 x³y⁻²
suter [353]

The expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

What is a logarithmic function?

A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1

Expanding the given logarithm: log 2 x³y⁻²  

Given logarithmic expression is log 2 x³y⁻²  

Applying given properties of logarithmic function;

log a + log b = log (ab)

2 log a = log a^2

Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²

= log 3 + 3 log x - 2 log y

Hence, the expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

To learn more about the logarithmic functions, visit here:

brainly.com/question/25710806

#SPJ4

7 0
1 year ago
Find the area of this figure. Use 3.14 for π. Write your answer as a decimal. ​
vovangra [49]

Answer:

are=πr²

3.14*8*8

=200.96 inches²

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • If they stake the pony where joy wants what is the equation of the circle that represents the ponys path
    14·2 answers
  • 5 1/4 --3 3/4 represent. the following. fractions and solve
    12·1 answer
  • W + x - z when w = 5, x = 1, z = 2
    9·1 answer
  • Colby left out reasons from his proof. Which reason best supports the statement?
    13·2 answers
  • On saturday alison used her cell phone for 36 minutes.On sunday she used he cell phone for 18 minutes more than saturday find th
    10·2 answers
  • Please help me! I'm on a timer!
    7·1 answer
  • A prism is filled with 44 cubes with 1/2 unit side lengths. What is the volume of the prism in cubic units?
    14·1 answer
  • What is the slope of Y = -3x + 12?
    7·2 answers
  • Function 1: y = 4x + 5 Function 2: The line passing through the points (1, 6) and (3, 10). Which of these functions has the grea
    7·1 answer
  • The chart below shows conversion between kilometers and miles.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!