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Mariulka [41]
3 years ago
9

Sarah measures the length of elevation to the top of a tree as 23.6 degree from where she is standing at a point 250 meters from

it's base.Her eye level, where the angle measurement was taken is 1.5 meters above the ground level.assuming the ground is horizontal, fine the height of the tree.
Mathematics
1 answer:
Elenna [48]3 years ago
3 0

The height of the tree is 110.7  meters.

<u>Step-by-step explanation</u>:

Form a triangle with an angle 23.6  and base 250 meters and height x meters.

From the triangle,

tan (23.6) = Opposite / Adjacent

tan (23.6) = x / 250

x = 250 tan(23.6)

⇒ 250 0.436889

⇒ 109.2 m

x = 109.2 m

The height of the tree = x+1.5

                                     = 109.2+1.5

                                     = 110.7 m

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URGENT Match each ratio of the volumes of two solids to the pair of solids it represents.
Anarel [89]
1. cylinder to cone:
  (πr^2h)/((1/3)πr^2h) = 3:1

2. sphere to cylinder:
  ((4/3)πr^3)/(πr^2h) = 4r:3h

3. cone to sphere:
  ((1/3)πr^2h)/((4/3)πr^3) = h:4r

4. hemisphere to cylinder:
  half the ratio of sphere to cylinder = 2r:3h
4 0
3 years ago
Rick buys and sells antiques via the Internet. So far, he has profited $2,502. Based on his profits to date, he developed the fo
kow [346]

Answer:

d. An additional month of buying and selling is associated with an additional $417 in profits.

Step-by-step explanation:

We have general form of intercept form of equation:

y = m*x + c ----- (A)

Given equation is : y = 2502 + 417*x

Rewrite equation: y = 417*x + 2502 ------(B)

comparing equation (B) with equation (A), we get

m = 417 (additional benefits per month) because multiplied factor x is the month.

6 0
3 years ago
3. Assume that the likelihood of a child under the age of ten watching PBS is 0.76. Three children are
natta225 [31]

Using the binomial distribution, the probabilities are given as follows:

a) 0.4159 = 41.59%.

b) 0.5610 = 56.10%.

c) 0.8549 = 85.49%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the values of the parameters are:

n = 3, p = 0.76.

Item a:

The probability is P(X = 2), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{3,2}.(0.76)^{2}.(0.24)^{1} = 0.4159

Item b:

The probability is P(X < 3), hence:

P(X < 3) = 1 - P(X = 3)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.76)^{3}.(0.24)^{0} = 0.4390

Then:

P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.

Item c:

The probability is:

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4159 + 0.4390 = 0.8549

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
2 years ago
PLEASE HELP!!!!!!!!!!!! WILL GIVE BRAINLIEST!!
KATRIN_1 [288]

Answer:

False -Demartra

Step-by-step explanation:

8 0
3 years ago
Which of the following is a true polynomial identity?
Ira Lisetskai [31]

Answer:

  c.  (x^2+1)(x^2+a)-a = x^2(x^2+a+1)

Step-by-step explanation:

You can use FOIL or the distributive property to expand the product of binomials, Then collect terms and factor out the common factor.

  (x^2+1)(x^2+a)-a

  = x^2(x^2 +a) +1(x^2 +a) -a

  = x^4 +ax^2 +x^2 +a -a

  = x^4 +ax^2 +x^2

  = x^2(x^2 +a +1) . . . . . matches choice C

6 0
3 years ago
Read 2 more answers
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