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2 years ago

You scored 48 out of 51 on your recent quiz. What percent did you get correct?

Mathematics

2 answers:

hichkok12 [17]2 years ago

4 0

Answer:

Your answer is 94.12%

Step-by-step explanation:

48 / 51 = 0.9412

0.9412 out of 100 is

94.12% which is a low A

Your Welcome! :)

Citrus2011 [14]2 years ago

4 0

Answer: 94.11%

Step-by-step explanation:

1. You must keep on mind the information given in the problem. You know that the scored 48 out of 51 on your recent quiz.

2. Therefore, to calculate the percent you got correct, you must divide 48 points by 51 points and multiply by 100, as you can see below:

3. Let's call $x$ the percent you got correct. Then, you obtain the following result:

$x=\frac{48points}{51points}*100$

$x=94.11$ %

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2 years ago

From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$

$20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}$

$50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}$

By the below diagram,

$tan ( 12^{\circ} 50') = \frac{8.20}{y}$

$tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}$

$tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}$

$\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}$

Now, again by the below diagram,

$tan (31^{\circ}20')=\frac{x}{y}$

$tan(31+\frac{1}{3})=\frac{x}{y}$

$\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91$

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

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Step-by-step explanatio

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