answer.
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
Dahasolnce [82]
2 years ago
7

You and a friend want to know how much rope you need to climb a large rock.  Your friend is 5.5 feet tall and casts a shadow tha

t is 18 feet long.  If the rock casts a shadow that is 209.5 feet long, calculate the height of the rock from the ground.  Round your answer to the nearest foot.  (Hint: make a drawing)

Mathematics
1 answer:
siniylev [52]2 years ago
6 0
The drawing shows the rock height to be 64 ft.

The shadow lengths are proportional to the object heights, so we have
   (rock height)/(209.5 ft) = (5.5 ft)/(18 ft)
   (rock height) = (209.5 ft)*(5.5/18) ≈ 64.01 ft

The height of the rock from the ground is about 64 ft.

You might be interested in
A company buys paper at the rate of $10.50 per package for the first 10 packages, $8.50 per package for the next 10 packages, an
dexar [7]

Answer:

25?

Step-by-step explanation:


7 0
2 years ago
Read 2 more answers
The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles
Alexxx [7]
What is the area of the triangular base?
8 square feet

What is the length of edge DF?
4 feet
3 0
2 years ago
Read 2 more answers
According to a study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That
timama [110]

Answer:

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

3 0
2 years ago
Maria created a graph of B(t), the temperature over time. For the interval between t = 3 and t = 7, the average rate of change i
LuckyWell [14K]
What are the statements?
4 0
2 years ago
Read 2 more answers
According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?f(X) 3x4 +2xfox)- (6x -4x5-10 3x2
mina [271]
<u><em>Answer:</em></u>
A. (3x²-4x-5)(2x⁶-5)

<u><em>Explanation:</em></u>
<u>The fundamental theorem of Algebra states that:</u>
"A polynomial of degree 'n' will have exactly 'n' number of roots"

We know that the degree of the polynomial is given by the highest power of the polynomial.
Applying the above theorem on the given question, we can deduce that the polynomial that has exactly 8 roots is the polynomial of the 8th degree

<u>Now, let's check the choices:</u>
<u>A. (3x²-4x-5)(2x⁶-5)</u>
The term with the highest power will be (3x²)(2x⁶) = 6x⁸
Therefore, the polynomial is of 8th degree which means it has exactly 8 roots. This option is correct.

<u>B. (3x⁴+2x)⁴</u>
The term with the highest power will be (3x⁴)⁴ = 81x¹⁶
Therefore, the polynomial is of 16th degree which means it has exactly 16 roots. This option is incorrect.

<u>C. (4x²-7)³</u>
The term with the highest power will be (4x²)³ = 64x⁶
Therefore, the polynomial is of 6th degree which means that it has exactly 6 roots. This option is incorrect

<u>D. (6x⁸-4x⁵-1)(3x²-4)</u>
The term with the highest power will be (6x⁸)(3x²) = 18x¹⁰
Therefore, the polynomial is of 10th degree which means that it has exactly 10 roots. This option is incorrect

Hope this helps :)
6 0
2 years ago
Read 2 more answers
Other questions:
  • What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, –0.04, –0.14,
    14·1 answer
  • Triangle IUP has angles I=50, U=60, P=70. What side is the longest side of the triangle?
    11·2 answers
  • Which of the following is the missing side length that completes the Pythagorean triple below? 5, 12, ____ A. 17 B. 15 C. 13 D.
    8·1 answer
  • Julia owes her dad $12.she wants a new blouse that just went on sale,do she borrow $20 from her sister.she pays her father $5 an
    15·2 answers
  • Solve the system of equations below -3xy+6y=9
    12·2 answers
  • Solve the system by substitution<br><br><br> -x - y - z = -8<br> -4x + 4y + 5z = 7<br> 2x + 2z = 4
    9·2 answers
  • A book has 89 pages, but the page numbers are printed incorrectly. Every third page number has been omitted, so that the pages a
    13·1 answer
  • Kelly purchased 6 planters for a total of $18. She wants to purchase another 16 planters at the same unit price. How much will 1
    14·1 answer
  • Allie bought some DVDs for $14.99 each. Which expression below represents Allie’s cost for d DVDs? A. 14.99 + d B. 14.99 + 14.99
    15·2 answers
  • Here are the ingredients to make 12 cupcakes.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!