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sweet-ann [11.9K]
3 years ago
11

The angle of elevation to a nearby tree from a point on the ground is measured to be 61 ∘ ∘ . How tall is the tree if the point

on the ground is 59 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

106.44 ft

Step-by-step explanation:

tan = opp/adj

tan61 = opp/59

59*tan61 = opp

opp = 106.438817561014012

Rounded

106.44 ft

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Y=5x+3 which orderd pair works for the rule<br><br> A. (4,23)<br><br> B. (3,14)<br><br> C. (5,3)
gtnhenbr [62]
Y = 5x + 3
when x = 4
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Answer (4,23) 
4 0
3 years ago
Jeannie is an experienced business traveler, often traveling back and forth from San Francisco to the East Coast several times p
lesya692 [45]

Answer:

The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Jeannie should leave her office 55 minutes early.

Step-by-step explanation:

Let <em>X</em> = time it requires Jeannie to catch her plane.

The random variable <em>X</em> is normally distributed, N(46, 5).

Compute the probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour as follows:

P(X>60)=P(\frac{X-\mu}{\sigma} >\frac{60-46}{5} )\\=P(Z>2.8)\\=1-P(Z

The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Now, it is provided that Jeannie has 96% chance of catching her flight if she reaches under <em>x</em> minutes.

That is, P (X < x) = 0.96.

Compute the value of <em>x</em> as follows:

P(X

**Use the <em>z</em>-table to compute the value of <em>z</em>.

The value of <em>z</em> is 1.751.

Compute the value of <em>x</em> as follows:

z=\frac{x-46}{5}\\ 1.751=\frac{x-46}{5}\\x=46+(1.751\times5)\\=54.755\\\approx 55

Thus, Jeannie should leave her office 55 minutes early.

4 0
3 years ago
Uestion 2 (1 point)
SSSSS [86.1K]

Answer:

-The probability of choosing a meat dish is equal to the probability of choosing a pasta dish or a soup(P(meat)\neq P(pasta)+P(soup))

Step-by-step explanation:

Given that the number of events is 25 and 13 are meat dishes, 8 are pasta dishes, and 4 are soups.

-Probability is defined as the number of successful event divide by the total number of events.

#find probability of each event:

P(meat)=\frac{13}{25}=0.52\\\\P(pasta)=\frac{8}{25}=0.32\\\\P(soup)=\frac{4}{25}=0.16

P(meat)\neq P(pasta)\neq P(soup)

Hence, the FALSE choice is:The probability of choosing a meat dish is equal to the probability of choosing a pasta dish or a soup.

6 0
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