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Marat540 [252]
2 years ago
9

Given: △AFD, m∠F=90° DF=7√3 , m∠D=30° Find: Area of △AFD

Mathematics
1 answer:
Aliun [14]2 years ago
4 0

Using the definition of the tangent function, you can find ...

... FA = DF·tan(30°) = (7√3)·(1/√3) = 7

Then the usual formula for triangle area can be used:

... Area = (1/2)bh = (1/2)·(7√3)(7)

... Area = (49/2)√3 square units

... ≈ 42.44 square units

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A middle school took all of its 6th grade students on a field trip to see a play. The students filled 660 seats, which was 55% o
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Answer:

1200 seats

Step-by-step explanation:

<u>  x  </u>  =  <u> 660 </u>

100        55

55x = 66,000

x = 1200

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2 years ago
Doug has a bag full of crayons. There are 6 red crayons, 7 blue ones, and 4 green crayons. Doug wants to color a blue sky. What
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Answer:

Blue 7/17 = Nearly 0.41

Red 6/17= Nearly 0.35

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Step-by-step explanation:

The Probability is 13/17 if im wrong then sorry i havent done this in a while

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2 years ago
Susan and ronald dugan agreed upon the price of 256,000 for their new home. They plan to make 30 percent down payment and financ
Eduardwww [97]

Answer:

The total amount to be paid for new home is $838,014.72  

Step-by-step explanation:

Given as :

The price of the new house = $256,000

The down payment amount = 30% of house price

So, The down payment price =  30% of $256,000

i.e The down payment price =  \dfrac{30}{100} × 256000

Or, The down payment price = $76,800

Now, rest amount is finance

So, The finance Amount = p = $256000 - $76800 = $179,200

The rate of interest applied = r = 7.5%

The time period of finance = t = 20 years

Let The Amount after 20 years of finance = $A

Let The total amount to be paid for new home = $B

<u>Now, From Compound Interest </u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $179,200 × (1+\dfrac{\textrm 7.5}{100})^{\textrm 20}

Or, A = $179,200 × (1.075)^{\textrm 20}

Or, A = $179,200 × 4.24785

∴  A = $761,214.72

So,The Amount after 20 years of finance = A = $761,214.72

<u>Now, Again</u>

The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance

Or, B = $76,800 + A

Or, B = $76,800 + $761,214.72

Or, B = $838,014.72

So, The total amount to be paid for new home = B = $838,014.72

Hence, The total amount to be paid for new home is $838,014.72  Answer

7 0
2 years ago
A teacher gave a quiz to her class of 30 students. However, she misplaced one of the quizzes. The teacher calculated the mean of
Zina [86]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
In a hospital, there are 250 registered nurses. 100 of the nurses are males. What is the ratio of male nurses to female nurses i
Dimas [21]

Answer:

The ratio of male nurses to female nurse in lowest terms is: 2:5

Step-by-step explanation:

Given: In a hospital, there are  total 250 registered nurses.

Number of nurses are males = 100

Number of nurses are females = 250 - 100 = 150  [ Total nurses - number of male nurses]

To find the ratio of male nurse to female nurses in lowest terms;

A ratio shows that the relative sizes of two or more values.

Then,

\frac{Number of male nurses}{Number of female nurses} = \frac{100}{250}

or

= \frac{100}{250} =\frac{10}{25} =\frac{2}{5} = 2:5

Therefore, the ratio of male nurses to female nurses in lowest terms is; 2 :5

7 0
2 years ago
Read 2 more answers
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