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svet-max [94.6K]
3 years ago
12

Find the distance from point C to point D.

Mathematics
1 answer:
sineoko [7]3 years ago
3 0

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The distance from point C to point D is 258.8 meters.

<h3>What is Tangent (Tanθ)?</h3>

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The distance from point C to D is equal to the distance from point A to B. Therefore, the height of the building can be written as,

Tan(25°) = AB / BC

Tan(25°) × 555 m = AB

AB = 258.8 meters

Hence, the distance from point C to point D is 258.8 meters.

Learn more about Tangent (Tanθ):

brainly.com/question/10623976

#SPJ1

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Answer:

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Determine the amount needed such that when it comes time for retirement, an individual can make monthly withdraws in the amount
bazaltina [42]

Answer:

The amount needed such that when it comes time for retirement is $396721.78.

Step-by-step explanation:

Given : An individual can make monthly withdraws in the amount of $2,154 for 30 years from an account paying 5.1% compounded monthly.

To find : The amount needed such that when it comes time for retirement?

Solution :

Using the formula of monthly payment,

Monthly payment, M=\frac{\text{Amount}}{\text{Discount factor}}

Discount factor D=\frac{1-(1+i)^{-n}}{i}  

Where,

Amount = ?

Monthly payment  M=$2154

Rate r= 5.1%=0.051

i=\frac{0.05}{12}=0.00425

Time = 30 years  

n=30\times12=360

Substitute all the values,

D=\frac{1-(1+i)^{-n}}{i}

D=\frac{1-(1+0.00425)^{-360}}{0.00425}

D=\frac{1-(1.00425)^{-360}}{0.00425}

D=\frac{1-0.21723}{0.00425}  

D=\frac{0.78277}{0.00425}

D=\$184.1811

Monthly payment, M=\frac{\text{Amount}}{\text{Discount factor}}

2154=\frac{A}{184.1811}

A=2154\times 184.1811  

A=\$396721.778

Nearest cent, A=\$396721.78

Therefore, the amount needed such that when it comes time for retirement is $396721.78.

6 0
4 years ago
I'm bad at word problems. Natasha had 7/8 gallon of paint. her brother ivan took 1/4 gallon to paint his model boat. natasha nee
a_sh-v [17]
Here is how to answer it.
Given that Natasha had 7/8 gallon of paint and Ivan took 1/4 gallon of paint, what we are going to do is to subtract 1/4 from 7/8. Since both fractions have different denominators, let's find their common denominator. We are going to multiply 1/4 by 2 and we get 2/8. Next deduct 2/8 from 7/8 and we get 5/8. So there's only 5/8 gallon left. The correct answer would be YES. Ivan left her enough paint. 
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3 years ago
the stem on the left has the weights of the juniors and the stem on the right has the weights of the freshmen, we can see that t
weqwewe [10]
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3 years ago
Evaluate 2/5g + 3h - 6 when g = 10 and z = 6
poizon [28]

Answer:

16

Step-by-step explanation:

Well first we need to plug in 10 for g and 6 for h.

2/5(10) + 3(6) - 6

4 + 18 - 6

22 - 6

16

<em>Thus,</em>

<em>the answer is 16.</em>

<em />

<em>Hipe this helps :)</em>

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3 years ago
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