3 years ago

Evaluate cos^2 (n/12)

Mathematics

1 answer:

77julia77 [94]3 years ago

5 0

Answer:

[(2 + √3)/4] = 0.9330127

Step-by-step explanation:

We know that

cos (pi/12) ^ 2 =

cos (pi/12)* cos (pi/12) =

[(√6 + √2)/4]*[(√6 + √2)/4] =

(0.9659)*(0.9659) = 0.9330127

[(2 + √3)/4] = 0.9330127

You might be interested in

The radius of a basketball is about 13 centimeters.<br> What is the volume of the basketball?

e-lub [12.9K]

434 cubic inches
Explanation;

8 0

3 years ago

The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?

PtichkaEL [24]

The volume of a cylinder with a radius r and a height h:

$V_1=\pi r^2h$

The volume of a cone with a radius r and a height h:

$V_2=\dfrac{1}{3}\pi r^2h$

Therefore

$V_2=\dfrac{1}{3}V_1$

We have $V_1=32.25\ in^3$

Substitute:

$V_2=\dfrac{1}{3}\cdot32.25=10.75\ in^3$

Answer: The volume of a cone is equal 10.75 in³

8 0

3 years ago

If prices increase at a monthly rate of 3.9%, by what percentage do they increase in a year?

kykrilka [37]

If it increases at 3.9% a month, then in a year it increases 46.8%.
This is because a year has 12 months and so take 3.9(12)=46.8

8 0

3 years ago

51 = 11b – 15<br> Solve for b

Flura [38]

B= 6 add 15 to 51 then divide by 11

8 0

3 years ago

Read 2 more answers

Find the area of the triangle with A=60º b=11ft and c=8ft

Serhud [2]

Answer:

38.105

Step-by-step explanation:

The area of this triangle = 0.5 * b * c * sin(A)

= 0.5 * 11 * 8 *sin(60) sin(60) = $\sqrt{3} /2$ = .866025...

= 0.5 * 11 * 8 * .866025

= 38.105

8 0

3 years ago

Read 2 more answers