In a normal distribution, the number of organisms exhibiting a phenotype variant near the lowest value is(1 point).

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. the angle

Mekhanik [1.2K]

The height of the tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.

<h3>What is right angle triangle property?</h3>

In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.

$\tan\theta=\dfrac{b}{a}$

Here, (b) is the opposite side, (a) is the base side.

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence.

The angle of elevation of the tree from one position on a flat path from the tree is

$H=40^o$

From a second position,

$I=60\rm\; ft$

Farther along this path it is,

$b=30^o$

Let the distance between tree and first position is x. Thus, from the trigonometry,

$\tan 40=\dfrac{h}{x}\\h=x\tan 40$ ....1

The distance between tree and second position is (x+60) ft. Thus, again from the trigonometry,

$\tan 30=\dfrac{h}{x+60}\\h=(x+60)\tan 40$ ......2

Compare the equation 1 and 2,

$x\tan (40)=(x+60)\tan 30\\0.839x=0.577x+34.64\\0.839x-0.577x=34.64\\x=\dfrac{34.64}{0.262}\\x=132.25\rm\; ft$

Put this value in equation 1 as,

$h=(132.25)\times \tan40\\h\approx111\rm\;ft$

Thus, the height of the tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.

Learn more about the right angle triangle property here;

brainly.com/question/22790996

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7 0

2 years ago

Is 920 a good score on the psat?

enyata [817]

It all depends on your grade level. For sophomores, I would assume that it is an average score ( I am a sophomore myself, but I received a 1270). For juniors, this is below average. Your schools curriculum comes into play as well. So in short, yes or sophomores and no for juniors.

8 0

3 years ago

Read 2 more answers

How do tectonic plates move with other plates

anygoal [31]

Plates at our planet's surface move because of the intense heat in the Earth's core that causes molten rock in the mantle layer to move. It moves in a pattern called a convection cell that forms when warm material rises, cools, and eventually sink down. As the cooled material sinks down, it is warmed and rises again

5 0

4 years ago

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A 0.1 kg block of brass is cooled until it releases 56.4 J of heat. If the temperature of the block was 5 K initially, what is i

Zolol [24]

Answer:

3.5 K

Explanation:

When a sample of a substance releases heat energy, its temperature decreases according to the equation:

$Q=mC(T_f-T_i)$

where

Q is the heat energy released

m is the mass of the substance

C is the specific heat capacity

$T_i$ is the initial temperature

$T_f$ is the final temperature

For the block of brass in this problem, we have:

m = 0.1 kg is the mass

Q = -56.4 J is the heat energy released (negative since it is released)

C = 380 J/kg K is the specific heat capacity of brass

$T_i=5 K$ is the initial temperature

Solving for $T_f$ , we find the final temperature:

$T_f=T_i + \frac{Q}{mC}=5+\frac{-56.4}{(0.1)(380)}=3.5 K$

5 0

3 years ago

What can you say about the series an in each of the following cases?

Likurg_2 [28]

The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.

<h3>What are the rules for Ratio Test for Convergence?</h3>

The rules are:

If the limit is less than 1 when conducting the ratio test, your series is definitely convergent.
The test is inconclusive if the limit is equal to 1.
The series is divergent if the limit is greater than 1.

Using this knowledge, we are able to state that

A is not conclusive.
C's convergence is absolute.
There is divergence with D and E.
B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.

The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.

Please see the attached for the full question and the link below for more about Ratio Test for Convergence:

brainly.com/question/16618162

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7 0

2 years ago