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
Shalnov [3]
3 years ago
12

5 Raymond was riding a zip-cable from the top of a viewing post. The cable is 75 yards long. The viewing post is 60 yards high a

nd forms a right angle with the ground, as shown in the picture below. Given this information, how far is the bottom of the cable from the base of the viewing post?
Mathematics
2 answers:
Alenkasestr [34]3 years ago
7 0
It is 45 yd from the base of the pole.

The pieces of the right triangle we are given are one of the legs (the height of the pole, 60 yd) and the hypotenuse (the length of the cable, 75 yd).  Using the Pythagorean theorem, we have:

60²+b²=75²
3600+b²=5625

Subtract 3600 from both sides:
3600+b²-3600=5625-3600
b²=2025

Take the square root of both sides:
√(b²) = √2025
b = 45
Delicious77 [7]3 years ago
6 0

Answer:

It is 45

Step-by-step explanation:

You might be interested in
How much weight does the wrestler gain every 2 months?
Daniel [21]

Answer:

10.8 kilograms

Step-by-step explanation:

7 0
3 years ago
Use the function f(x) to answer the questions.
fiasKO [112]

Answer:

Below in bold.

Step-by-step explanation:

A. −16x2 + 24x + 16 = 0

-8(2x2 - 3x - 2) = 0

-8(2x + 1 )(x - 2) = 0

x = -0.5, 2.

So the x-intercepts are (-0/5, 0) and (2, 0).

B.  As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.

To find its coordinates we convert the function to vertex form:

f(x) =  −16x2 + 24x + 16

=  -16(x^2 - 1.5x) + 16

Completing the square on  contents of the parentheses:

= -16 [(x - 0.75)^2  - 0.75^2] + 16

= -16(x - 0.75)^2  - 16 * -0.75^2 + 16

= -16(x - 0.75)^2 + 9 + 16

= -16(x - 0.75)^2 + 25.

So the coordinates of the vertex are (0.75, 25)

3 0
2 years ago
I need help on this one
mel-nik [20]

Answer: 4/9

Step-by-step explanation:

apply product rule to 2/3 2^2  /   3^2

7 0
3 years ago
Find the diameter of the circle with the given radius.<br> 5. 20 feet
guajiro [1.7K]

Answer:

40 feet

Step-by-step explanation:

the diameter is just Rx2 (R being the radius)

7 0
2 years ago
According to a recent New York Times poll, 25% of the public have responded to a telephone call-in
ArbitrLikvidat [17]

Answer:

Probability that exactly two people out of a randomly  chosen group of five people have responded to a telephone call-in poll is 0.264.

Step-by-step explanation:

We are given that according to a recent New York Times poll, 25% of the public have responded to a telephone call-in  poll.

Also, five people have people have been randomly selected.

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......

where, n = number trials (samples) taken = 5 people

           r = number of success = exactly two

           p = probability of success which in our question is probability that

                 public have responded to a telephone call-in  poll, i.e; p = 25%

<em><u>Let X = Number of people who have responded to a telephone call-in  poll</u></em>

So, X ~ Binom(n = 5, p = 0.25)

Now, probability that exactly two people out of group of five people have responded to a telephone call-in poll is given by = P(X = 2)

                P(X = 2)  =  \binom{5}{2} \times 0.25^{2} \times (1-0.25)^{5-2}

                               =  10 \times 0.25^{2}  \times 0.75^{3}

                               =  <u>0.264</u>

<em>Therefore, the probability that exactly two people out of a randomly  chosen group of five people have responded to a telephone call-in poll is 0.264.</em>

3 0
3 years ago
Other questions:
  • How many even integers greater than two and less then 20 are equal in value to the sum of 2 prime numbers?
    10·1 answer
  • What is the area of this parallelogram?
    6·2 answers
  • If x = -6, which inequality is true, -5 - 3x &gt; 10, -3 - 5x &lt; -14 or 2-x &lt; -3?
    5·1 answer
  • A spinner with six sections labeled A through F is spun. What is the probability of spinning the letter labled D?
    9·2 answers
  • Write the verbal sentence as an equation.<br> Fourteen minus the product of 3 and a number is 26.
    10·1 answer
  • A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 4
    14·1 answer
  • Can someone please help with this or explain how to do it. I'm not very sure where to begin ToT
    14·1 answer
  • Need help, please 10 pts
    8·1 answer
  • In a survey 6% of adults did not<br> know how to ride a bike. What<br> percentage could ride?
    7·2 answers
  • Help please im stuck on this question
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!