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3 years ago

In the figure below, what is the length of AD?

Mathematics

1 answer:

maksim [4K]3 years ago

5 0

Find the inside angle B of the smaller triangle using the base (4) and height (6)
smaller part of B = arctan(4/6) = 33.69 degrees
full B = 90 degrees - smaller B gives you the other part of B for the left hand side

so 90 - 33.69 = 56.31

now AD = 6 x tan(56.31) = 9 feet
answer is G

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Anna inherits $70000 and decides to invest part of it in an education account for her daughter and the rest in a 5 year CD. If t

TEA [102]

E = amount she put for Education

CD = amount she put for a Certificate of Deposit.

so, whatever those amounts are, we know that all she got is 70,000 bucks total, so E + CD = 70000.

how much is three times the CD? well, 3*CD or 3CD.

how much is 10,000 more than that? well 3CD + 10000.

since we know that the amount on Education was 10000 more than three times the CD, then E = 3CD + 10000.

$\bf \begin{cases}
E+CD=70000\implies \boxed{CD}=70000-E\\
E=3CD+10000\\
------------------\\
E=3\left( \boxed{70000-E}\right)+10000
\end{cases}
\\\\\\
E=210000-3E+10000\implies 4E=200000\implies E=\cfrac{200000}{4}
\\\\\\
E=50000$

how much was it invested in the CD? well, CD = 70000 - E.

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3 years ago

Read 2 more answers

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Eddi Din [679]

Answer:

Step-by-step explanation:

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3 years ago

What is the meaning of proportional and non-proportional?

frutty [35]

Answer:

Proportional: Non-Proportional: How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

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2 years ago

USE A MODEL Olivia and her brother William had a bicycle race. Olivia rode at a speed

Anni [7]

Answer:

Let the total distance Aileen ran be 'x'

Let the distance ran by Andrew be 'y'

Refer to graph attached for graphical representation of distance travelled by both.

Applying the formula,

distance=speed*time

x=20*t Equation 1

y= 15*t equation 2

Since it can be easily understood by the graph attached, that

x=150+y equation 3

Now putting values of x and y in equation 3

20*t =150 +15*t.

5t= 150

t=30 seconds.

putting the values of t in both the equation 1 and 2

x=20t

=20*30

x = 600 feet

So the distance ran by Aileen is 600 feet, whereas Andrew ran 450 feet.

Step-by-step explanation:

Do not mind the names just change them. I had the same question before with different names so that is why. Hope this helps:)

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2 years ago

What is the volume of the triangular prism below?<br> 7 yd<br> 18 yd<br> 12 yd

Citrus2011 [14]

Step-by-step explanation:

V = 1/2 a x c x h

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3 years ago