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lys-0071 [83]
3 years ago
15

A soccer player is 30 feet from the goal line. He shoots the ball directly at the goal.

Mathematics
1 answer:
nevsk [136]3 years ago
7 0

Answer:

14.93°

Step-by-step explanation:

Using trigonometry :

From the diagram attached :

Angle of elevation = x

To obtain the value of x

Tan x = opposite / Adjacent

Tan x = 8 / 30

Tan x = 0.266666

x = tan^-1(0.26666)

x = 14.93°

Therefore, the angle of elevation is 14.93°

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If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)
Degger [83]

Answer:

\frac{f}{g}(5) = 270 ⇒ Last answer

Step-by-step explanation:

* If f(x) = 7 + 4x

* If g(x) = \frac{1}{2x}

* We want to find \frac{f}{g}(5)

- Lets find at first \frac{f}{g}(x)

∵ f(x) = 7 + 4x

∵ g(x) = \frac{1}{2x}

∴ \frac{f}{g}(x)=\frac{7+4x}{\frac{1}{2x}}

- Lets divide the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is \frac{1}{2x}

∴ (7 + 4x) ÷ \frac{1}{2x}

- Lets reverse the division sign to multiplication sign and reciprocal

  the fraction after the division sign

∴ (7 + 4x) × \frac{2x}{1}

∴ \frac{f}{g}(x) = 2x(7 + 4x)

∴ \frac{f}{g}(x) = 14x + 8x²

- Now substitute x by 5

∴  \frac{f}{g}(5) = 14(5) + 8(5)² = 70 + 200 = 270

∴  \frac{f}{g}(5) = 270

4 0
3 years ago
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Convert the mixed number to an improper fraction. 2 7/10 A.14/10 B.27/10 C.34/10 D.37/10
boyakko [2]
So, to make a mixed number into an improper fraction, you have to multiply the whole number by the denominator and then add the numerator o that number.
2 and 7/10:
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<u>The answer would be B!</u>
I hope this helps!
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deff fn [24]
The answer is c. 0.8

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HELP ME TO ANSWER THIS PLEASE JUST KINDA CONFUSED.
yulyashka [42]

Answer:

A = 5

B = 9

Step-by-step explanation:

This was very simple!

Nancy needs at least 15 boxes of travoprost but she only has 10. To find out how many she needs, we subtract 15 from 10 to get 5 boxes

Nancy also needs at least 12 boxes of latanoprost but she only has 3. To find out how many she needs, we subtract 12 from 3 to get 9 boxes

Therefore A = 5 boxes; B = 9 boxes

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What is triangle ABC ?<br><br> (line segments)
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Triangle ABD and ADC are righttriangles so u can use the Pythagorean theorem/triples. the triples are 3/4/5 and 5/12/13. 12 is 4x3, and 15 is 5x3, so BD is 3x3, which is 9. AC is 13, as it is part of the Pythagorean’s triples
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