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
ivann1987 [24]
3 years ago
8

A 26-foot ladder is placed against a house and reaches the 24-foot roof. What is the distance between the base of the ladder and

the base of the house if the ground meets the house at a right angle?
Mathematics
1 answer:
hammer [34]3 years ago
3 0

Answer:

The distance from the base of the ladder to the base of the house is 10ft

Step-by-step explanation:

From the question, we can gather that the ladder makes a right angle shape with the wall of the house.

The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft

To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides

We have established that the hypotenuse is the length of the ladder which is 26ft

Let the distance we want to calculate be d

26^2 = 24^2 + d^2

d^2 = 26^2 -24^2

d^2 = 676 - 576

d^2 = 100

d = square root of 100

d = 10ft

You might be interested in
3 x 7/18 as a fraction in simplest form
vazorg [7]
7/6 is the answer. If you divide the denominator by 3, you would get it
6 0
2 years ago
Can you give me equation where x=16
Mashcka [7]
x = 16 in the following equations:
8 × 2 = x
8 + 8 = x
4 × 4 = x

In the following equations, x = 16:
2x = 32
<em>32 ÷ 2 = x = 16
</em>x + 5 = 21
<em>21 - 5 = x = 16</em>
6 0
3 years ago
The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 54 inches, find the
CaHeK987 [17]

w - width

3w - 1 - length

54 in - perimeter

w + w + (3w - 1) + (3w - 1) = 8w - 2 - perimeter

The equation:

8w - 2 = 54      <em>add 2 to both sides</em>

8w = 56     <em>divide both sides by 8</em>

w = 7

3w - 1 = 3(7) - 1 = 21 - 1 = 20

<h3>Answer: The length = 20 in.</h3>
7 0
3 years ago
If ray ST bisects ∠RSU and m∠TSU=43°, find m∠RSU.
melomori [17]

Answer:  86 degrees

Explanation:

Angle TSU is formed when we bisect angle RSU. Recall that bisect means to cut in half. So TSU is half of RSU. Put another way, RSU is twice that of TSU.

angle RSU = 2*(angle TSU)

angle RSU = 2*43

angle RSU = 86

8 0
3 years ago
Determine the x- and the y-intercepts of these graphs. a) y = x-2​
Ivanshal [37]

Answer:

y-intercept = (0, -2)

x-intercept = (2, 0)

Step-by-step explanation:

The y-intercept is the value of y when x = 0. Therefore, Given the linear equation, y = x - 2:

Let x = 0:

y = 0 - 2

y = -2.

Therefore, the y-intercept of the linear equation, y = x - 2  is (0, -2).

The x-intercept is the value of x when y = 0.

Therefore, let y = 0:

y = x - 2

0 = x - 2

Isolate x by adding 2 to both sides of the equation:

0 + 2 = x - 2 + 2

2 = x

Therefore, the x-intercept is (2, 0).

5 0
3 years ago
Other questions:
  • What is 40 3/4 as a decimal
    6·1 answer
  • What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x – 1)?
    8·2 answers
  • A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f
    11·1 answer
  • In the regression equation, what does the letter "b" represent? Select one:
    8·1 answer
  • 40% is what number is 82?
    14·2 answers
  • I don’t know how to do this
    13·1 answer
  • 2x + 4) - 5<br> please help!<br> (simplify it)
    13·2 answers
  • I need help I don’t understand number lines
    15·2 answers
  • I need this done thanks
    11·1 answer
  • Can anybody help me with this?<br><br> Use this graph of f to find the solutions to f(x) = 0.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!