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ale4655 [162]
2 years ago
14

Solve the following problems: Given: ∆AFD, m ∠F = 90° AD = 14, m ∠D = 30° Find: Area of ∆AFD

Mathematics
1 answer:
ch4aika [34]2 years ago
4 0

We have the triangle 30° - 60° - 90°.

The sides are in proportion: 2 : √3 : 1

(look at the picture).

2a=14       <em>divide both sides by 2</em>

a=7

a\sqrt3=7\sqrt3

The area of a trinagle AFD:

A_{\Delta}=\dfrac{1}{2}(7)(7\sqrt3)=\boxed{\dfrac{49\sqrt3}{2}}

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The sugar company will choose from two companies to transport its sugar to market. the first company charges $6500 to rent truck
yulyashka [42]

Answer:

20 ton

Step-by-step explanation:

We created a system of two separate equations to answer these questions.

"y" will be the total cost to transport the sugar

"x" will be the amount of sugar transported

Therefore, we have to:

y = 3995 + 225.50 * x

y = 6500 + 100.25 * x

We must establish these equations equal to each other because it asks how much of x is necessary to make the same amount of y, therefore:

3995 + 225.50 * x = 6500 + 100.25 * x

solved we have:

225.50 * x - 100.25 * x  = 6500 - 3995

125.25 * x = 2505

x = 2505 / 125.25

x = 20

which means that when the amount of sugar transported is 20 tons, the price is the same

4 0
3 years ago
Match each organ or function with its body system <br><br> Excretory and digestive are the options
Tresset [83]

Answer:

digestive would be stomach, excretion is the big and small intestines

Step-by-step explanation:

stomach digests food, your intestines process whatever is left till you excrete

3 0
3 years ago
If p=8×10^5, 5×10^−2. Find p×q​
finlep [7]
Where is q? What should i do?
4 0
2 years ago
Anne pays cash for a Tv. The store owner gives her a 10% discount. She pays $702. How much was the price of the Tv before a disc
Whitepunk [10]

Answer:

$780

Step-by-step explanation:

P = Original Price

P (100% - 10%) = $702

P (90%) = $702

(P (.9)) / .9 = $702 / .9

P = $780

Check answer:

$780 (90%) = $702

6 0
2 years ago
18
Cloud [144]

Answer: 100

5

Step-by-step explanation:

a) The mean of a normal distribution is also the median. Half the population will have values above the mean. Half of 200 is 100, so ...

... 100 students will have grades above 70%.

b) 84% is 14% above the mean. Each 7% is 1 standard deviation, so 14% is 2 standard deviations above the mean. The empirical rule tells you 95% of the population is within 2 standard deviations of the mean, so about 5% of students (10 students) got grades higher than 84% or lower than 56%. The normal distribution is symmetrical, so we expect about 5 students in each range.

... about 5 students will have grades above 84%.

3 0
3 years ago
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