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3 years ago

The tables below show four sets of data:

1 answer:

7 0

Use Ga_thMath(u) (brainly doesn't allow me to type it) To use the app u need to take a pic of the problem and then it will process it and you'll get ur answer ASAP(most of the time). Many questions have been asked before so search it on brainly.

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From a point on the ground that is 120 feet from the base of a vertical tree, the angle of elevation to the top of the tree is 3

andriy [413]

Answer:

$\boxed {\boxed {\sf 69.28 \ feet}}$

Step-by-step explanation:

Assuming that the tree is perpendicular with the ground, we can use trigonometric ratios to find the height of the tree.

First, let's draw a diagram. From the point on the ground to the base, it is 120 feet and forms a 30 degree angle. We want to find the height of the tree, which is labeled h. (The diagram is attached and not to scale).

Next, recall the ratios.

sin(θ)= opposite/hypotenuse
cos(θ)= adjacent/hypotenuse
tan(θ)= opposite/adjacent

We see that the height is opposite the 30 degree angle and 120 is adjacent.

opposite=h
adjacent=120

Since we are given opposite and adjacent, we must use tangent.

$tan ({\theta)=\frac{opposite}{adjacent}$

Substitute the values in.

$tan(30)=\frac{h}{120}$

We are solving for h, so we must isolate it. It is being divided by 120 and the inverse of division is multiplication. Multiply both sides by 120.

$120*tan(30)=\frac{h}{120}*120$

$120*tan(30)=h$

$120*0.5773502692=h$

$69.2820323=h$

Round to the hundredth place (2 decimal places). The 2 in the thousandth place tells us to leave the 8 in the hundredth place.

$69.28 \approx h$

The height of the tree is about <u>69.28 feet.</u>

5 0

3 years ago

The sun produces 3.8x10^27 joules of energy per second. How much energy is produced in a year? (Note: a year is approximately 31

Slav-nsk [51]

About 1.204972095x10^20 joules in a year

3 0

3 years ago

Which of the following can be constructed by drawing an angle on tracing paper and then folding the paper so that the rays formi

Tatiana [17]

Answer:

C. Angle no sector

Step-by-step explanation:

The construction is given by,

'Draw an angle on a tracing paper and then fold the paper so that the rays forming the angles lie upon each other'.

We see that,

After folding the paper so that the rays lie upon each other, both the rays are overlapping each other.

So, there is no sector remaining and that the angle is 0°.

Thus, we can construct 'an angle with no sector' by using the given construction.

Hence, option C is correct.

6 0

3 years ago

You can model the population of a certain city between the years 1965 and 1995 by the radical function P(x) = 75,000 ^3sqrt x-19

LuckyWell [14K]

Answer: B. 1975

Step-by-step explanation:

Given: The model of population of a certain city between the years 1965 and 1995 by the radical function

$P(x)=75000\sqrt[3]{x-1940}$

To find the x year at which population is 245,000, put this in equation we get

$245000=75000\sqrt[3]{x-1940}\\\\\Rightarrow\frac{245000}{17000}=\sqrt[3]{x-1940}\\\\\Rightarrow3.266=\sqrt[3]{x-1940}\\\\\Rightarrow\ x-1940=(3.266)^3..........\text{[by taking cube on both sides]}\\\\\Rightarrow\ x-1940=34.8587\\\\\Rightarrow\ x=1940+34.8587\\\\\Rightarrow\ x=1974.8587\approx1975$

Hence, at year 1975 the population of the city is 245,000.

5 0

3 years ago

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Complete the equation of the line whose y-intercept is (0,6) and slope is 3.

choli [55]

(y-y1)=m(x-x1)
y-6=3(x-0)
y-6=3x-0
Add 6 to both sides
y=3x+6
This is the equation of the line

8 0

3 years ago

Read 2 more answers