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3 years ago

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you are looking at the top of a tree. The angle of elevation is 66 degrees. The distance from the top of the tree to your positi

on is 108 feet. If you are a 5.75 feet tall, how tall is the tree (round to the nearest hundredth)

2 answers:

sleet_krkn [62]3 years ago

8 0

103! 108 divided by 5.75 = 102.25

iVinArrow [24]3 years ago

3 0

Answer:

Step-by-step explanation:

A right angle triangle is formed. The distance from the top of the tree to your position represents the hypotenuse of the right angle triangle. The height of the tree represents the opposite side of the right angle triangle.

The height of the tree from the ground is the sum of the length of the opposite side and your height.

To determine the length of the opposite side, h, we would apply the Sine trigonometric ratio.

Sinθ = opposite side/hypotenuse Therefore,

Sin 66 = h/108

h = 108Sin66 = 108 × 0.9135

h = 98.66

Therefore, height of tree is

98.66 + 5.75 = 104.41 feet

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valentinak56 [21]

45 dimes and 93 nickels were in bank

<em><u>Solution:</u></em>

Let "n" be the number of nickels

Let "d" be the number of dimes

We know that,

value of 1 nickel = $ 0.05

value of 1 dime = $ 0.10

<em><u>Given that There are three more than twice as many nickels as there are dimes</u></em>

Number of nickels = 3 + 2(number of dimes)

n = 3 + 2d ---- eqn 1

<em><u>Also given that coin bank that excepts only nickels and dimes contains $9.15</u></em>

number of nickels x value of 1 nickel + number of dimes x value of 1 dime = 9.15

$n \times 0.05 + d \times 0.10 = 9.15$

0.05n + 0.10d = 9.15 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Substitute eqn 1 in eqn 2

0.05(3 + 2d) + 0.10d = 9.15

0.15 + 0.1d + 0.10d = 9.15

0.2d = 9

<h3>d = 45</h3>

From eqn 1

n = 3 + 2(45)

n = 3 + 90 = 93

<h3>n = 93</h3>

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3 years ago

A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co

butalik [34]

Answer:

Distance from the airport = 894.43 km

Step-by-step explanation:

Displacement and Velocity

The velocity of an object assumed as constant in time can be computed as

$\displaystyle \vec{v}=\frac{\vec{x}}{t}$

Where $\vec x$ is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as

$\displaystyle \vec{x}=\vec{v}.t$

The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as

$\displaystyle \vec{v_1}=$

$\displaystyle \vec{v_1}=\ km/h$

The displacement of the plane in 2 hours is

$\displaystyle \vec{x_1}=\vec{v_1}.t_1=.(2)$

$\displaystyle \vec{x_1}=km$

Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are

$\displaystyle \vec{v_2}=$

$\displaystyle \vec{v_2}=km/h$

The displacement in 1 hour is

$\displaystyle \vec{x_2}=\vec{v_2}.t_2=.(1)$

$\displaystyle \vec{x_2}=km$

The total displacement is the vector sum of both

$\displaystyle \vec{x_t}=\vec{x_1}+\vec{x_2}=+$

$\displaystyle \vec{x_t}=km$

$\displaystyle \vec{x_t}=$

The distance from the airport is the module of the displacement:

$\displaystyle |\vec{x_t}|=\sqrt{(-746.41)^2+492.82^2}$

$\displaystyle |\vec{x_t}|=894.43\ km$

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3 years ago

Joan has a stalk of celery that is 6 inches long. She cuts it into two pieces. Each piece is the same length. How long is each p

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3 inches
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3 years ago

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What is the solution for the equation 14.8 equals n -0.3

vodomira [7]

Hello there!

$14.8=n-0.3$

Answer:

$\boxed{n=15.1=15.0}$

You can also round up to the nearest tenths is 15.1 to 15.0 and its going to be stay.

Step-by-step explanation:

First you had to switch sides of equation form.

$n-0.3=14.8$

Then you add by 0.3 from both sides of equation form.

$n-0.3+0.3=14.8+0.3$

And finally, simplify by equation. You can also cross out by -0.3+0.3 and it gave us equal to zero. Then you add 14.8+0.3 and it equal to 15.1. You had to used their variable and its should be the right answer.

$n=15.1$

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

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2 years ago

Which equation justifies why nine to the one third power equals the cube root of nine?

AVprozaik [17]

Answer:

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Step-by-step explanation:

we know that

The <u><em>Power of a Power Property</em></u> , states that :To find a power of a power, multiply the exponents

so

$(a^{b})^{c}=a^{b*c}$

In this problem we have

$9^{\frac{1}{3}} =\sqrt[3]{9}$

Remember that

$\sqrt[3]{9}=9^{\frac{1}{3}}$

Raise to the third power

$[9^{\frac{1}{3}}]^3$

Applying the power of power property

$9^{\frac{3}{3}}$

$9^{1}$

$9$

therefore

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

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3 years ago

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