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Sunny_sXe [5.5K]
3 years ago
10

A 9.0 ladder rests against the side of a wall. The bottom of the ladder is 1.5 meters from the base of the wall. Determine the m

easurement of the angle between the ladder and the ground.
Mathematics
1 answer:
maria [59]3 years ago
8 0
Well we know that the 9.0 meter ladder is the hypotenuse And it is a right triangle with base of 1.5 meters. we have the adjacent and the hypotenuse. which is cosine. So:
cos (a) = adjacent/hypotenuse
cos (a) = 1.5/9.0
cos (a) = 1 / 6
a = cos^-1 (1 / 6)
a = 80.4 degrees
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Point B is a point of tangency. Find the radius r of OC.
Bumek [7]

Answer:

r = 16 units

Step-by-step explanation:

From the figure attached,

AB is the tangent drawn from a point A to the circle C.

BC = r [Radius of the circle]

Length of AC = (18 + r)

AB = 30

By the property of a tangent drawn to a circle,

"Radius of a circle and tangent are perpendicular to each other"

AB ⊥ BC

By applying Pythagoras theorem in ΔABC,

AB² + BC² = AC²

(30)² + r² = (r + 18)²

900 + r² = r² + 36r + 324

36r = 900 - 324

r = \frac{576}{36}

r = 16 units

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3 years ago
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Answer:

This should help

Step-by-step explanation:


4 0
4 years ago
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35% of salt is in feta cheese. What percentage of salt is in that 350 g cheese?
xxMikexx [17]

The amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.

<h3>What is percentage of a number?</h3>

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

35% of salt is in feta cheese. The percentage of salt is in that 350 g cheese has to be found out.

Let suppose there is x grams of slat in feta cheese of 350 g. Thus, the amount of salt (35% of 350) is,

x=\dfrac{35}{100}\times350\\x=122.5\rm\; gm

Thus, the amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.

Learn more about the percentage here;

brainly.com/question/2085058

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Answer:

download Microsoft math solver app .

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2 years ago
3x + 2(4x - 4) = 3<br> What’s the answer?
Darya [45]
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3 years ago
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