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
scoray [572]
3 years ago
10

A 25 foot ladder is leaning against a house. It makes a 75 degree angle with the ground. How far is the base of the ladder from

the house

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0
Look at the picture.

\cos 75^\circ =\frac{x}{25} \\
25 \cos 75^\circ = x \\
25 \times 0.2588 \approx x \\
x \approx 6.47

The base of the ladder is 6.47 feet from the house.

You might be interested in
Take a look at the picture and tell me what you think.<br><br> Thank you ;)
Blababa [14]

Answer:

The answer is A, "Find the number of 1 foot cubes that fill the fish tank."

Step-by-step explanation:

You can find the answer by multiplying 3 x 3 x 5, which is 45. 45 1 foot cubes will fill the fish tank.

3 0
3 years ago
If anybody now this pls help my homework due TOMORROW
Nezavi [6.7K]

Answer:

<u><em>Part A:</em></u> D. y = (x + 1)(x+3)\\

<u><em>Part B:</em></u> C. 3x(x-3) = 0\\

Step-by-step explanation:

For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.

The equation: y = (x + 1)(x+3)

Now plug in 0 for x.

y = (0 + 1)(0+3)\\

Now solve.

y = (1)(3)

y = 3

This proves that this is the correct answer.

For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.

The equation: 3x(x-3) = 0

Now plug in x for 0 and solve:

3* 0 (0-3) = 0\\

0(-3) = 0\\

0 =0\\

This equation is true, now we check for the other value of x, 3.

3*3(3-3) = 0\\

9(0) = 0\\

0 =0\\

This is also true so that means this is the correct answer.

6 0
3 years ago
Urgent!
AfilCa [17]

Answer:

The polynomial will be P(x) = - 5 (x + 2)²(x - 3)

Step-by-step explanation:

The degree of the polynomial P(x) is 3 and it has zeros at x = - 2 with multiplicity 2 and at x = 3 with multiplicity 1.

Therefore, (x + 2)² and (x - 3) are the factors of the equation.

Let the polynomial is

P(x) = a(x + 2)²(x - 3) ........... (1)

Now, the polynomial passes through the point (2,80).

So, from equation (1) we gat,

80 = a(4)²(-1)

⇒ a = - 5

Therefore, the polynomial will be P(x) = - 5 (x + 2)²(x - 3) (Answer)

6 0
3 years ago
It Percent Change<br>pls hurry 30 to 55 (round to the nearest hundredth)
Harlamova29_29 [7]

Answer:

83.33% change

Check work:

30 x 0.8333 = 24.999

30 + 24.999 = 54.999 or about 55

8 0
3 years ago
www.g The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulb
damaskus [11]

Answer:

z=\frac{24-40}{8}=-2

z=\frac{40-40}{8}=0

And then the percentage between 24 and 40 would be \frac{95}{2}= 47.5 \%

Step-by-step explanation:

For this problem we have the following parameters given:

\mu = 40, \sigma =8

And for this case we want to find the percentage of lightbulb replacement requests numbering between 24 and 40.

From the empirical rule we know that we have 68% of the values within one deviation from the mean, 95% of the values within 2 deviations and 99.7% within 3 deviations.

We can find the number of deviations from themean for the limits with the z score formula we got:

z=\frac{X-\mu}{\sigma}

And replacing we got:

z=\frac{24-40}{8}=-2

z=\frac{40-40}{8}=0

And then the percentage between 24 and 40 would be \frac{95}{2}= 47.5 \%

5 0
3 years ago
Other questions:
  • $69 shoes with a 6% tax
    13·2 answers
  • Solve to find the value for x in the linear equation: 3(-4x+5)=12
    11·1 answer
  • Mariana solved a linear equation and found that it had an infinite number of solutions. Which could have been the final line of
    6·1 answer
  • Geometry what is the answer
    8·1 answer
  • What is the 10 time tables
    14·2 answers
  • A 7-meter roll of red ribbon costs $2.52. What is the unit price
    13·2 answers
  • an investment out a 48 month loan $5 200 to buy a used motorcycle. if the simple interest ratebis 8.5%, how much will he have pa
    8·2 answers
  • Someone pls pls pls help me outt i have 3 questions left
    14·1 answer
  • It took Michael six hours to drive 312 miles. If he continues at that rate, how long will it take him to drive 520 miles?
    8·1 answer
  • The total cost of 1 pencil and 2 erasers is £8, and the total cost of 2 pencils and 4 erasers is £20, as shown below:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!