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natali 33 [55]
2 years ago
8

If the cos of angle A = 1/2, then find the measure of angle A.

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
5 0

Answer:

<A= 60 degrees

Step-by-step explanation:

Since cosA=0.5, we can take the inverse cos of 0.5 to get 60 degrees.

Hope this helped!

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Find AB.<br> Round to the nearest tenth.<br> 61°
anzhelika [568]

Answer:

AB ≈ 14.3

Step-by-step explanation:

We're given <em>two sides </em>(BC and CA) and an <em>angle </em>(C)<em> between them</em>; the <em>law of cosines </em>is a good tool for calculating the third side of the triangle here. To remind you, the law of cosines tells us the relationship between the sides of a triangle with side lengths a, b, and c:

c^2=a^2+b^2-2ab\cos{C}

Where C is the angle between sides a and b. c is typically the side we're trying to find, so on our triangle, we have

c=AB\\a=BC=16\\b=CA=5\\C=m\angle C=61^{\circ}

Substituting these values into the law of cosines:

c^2=16^2+5^2-2(16)(5)\cos{61^{\circ}}\\c^2=256+25-160\cos{61^{\circ}}\\c^2=281-160\cos{61^{\circ}}\\c=\sqrt{281-160\cos{61^{\circ}}}\\c\approx 14.3

6 0
3 years ago
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If F (x) =8+11 X-3X², find<br> a. What is F (5)? <br> b. What is F (x + b)? <br> c. What is F (-3)?
stepladder [879]

Answer:

a) -12

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Step-by-step explanation:

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in b) we substitute the value of x with (x+b) and then simplify

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5 0
2 years ago
What is the greatest three-digit multiple of 33 that can be written using three different digits?
tatuchka [14]

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Step-by-step explanation:

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2 years ago
A square is cut in half on the diagonal creating two equal triangles each triangle has an area of 0.72 square units what is the
Katyanochek1 [597]

In a square all 4 sides are equal, so when you cut it along the diagonal to make a triangle, both the base and the height of the triangle would be the same.


The area of a triangle is found by the formula 1/2 x base x height

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The area is given as 0.72 square units.

Now you have 0.72 = 1/2 x S^2

First multiply both sides by 2:

1.44 = S^2

To find S, take the square root of both sides:

S = √1.44

S = 1.2

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