Answer:
The value of cot (∠A) = 3/4
Step-by-step explanation:
Given the angle ∠A of a right-angled triangle
We know that the trigonometric ratio
cot (∠A) = adjacent / opposite
= 3/4
Thus, the value of cot (∠A) = 3/4
Answer:
E. 1/2
Step-by-step explanation:
Divide by 2, then make use of the Pythagorean identity for sine and cosine.
sin(x)^2 +cos(x)^2 = 2a
1 = 2a . . . . . . . sin²+cos²=1
1/2 = a
The surface area of a sphere of radius r is A = 4π*r^3.
Since the radius in this case is 7 cm (half the 14 cm diameter), the area of this sphere is
A = 4π(7 cm)^2, or 196π cm^2.
B. 28 meters
You can see that the side opposite of 8 meters are all different sizes, but all three lengths, if you line them all up together, add up to 8 meters. So the two sides add up to 16 meters. Now the other two sides. You can apply the same thing that was said about the 8 meters to the 6 meters side. And then the other side is 3 meters, so you can find the missing length by doing 6-3 = 3 meters (or just see that it also equals six and you can just skip that).
So, now you have 8+8+6+6 (or 3+3, depending on which way you did it) = 28 meters.
Answer:
The length of each side of square is 5ft.
Step-by-step explanation:
Given:
A composite figure is formed by combining a square and a triangle. Its total area is 32.5ft squared.
The area of the triangle is 7.5ft squared.
Now, to find the length of each side of square.
Now, we need to get the area of the square first:
Area of combined figure - area of triangle = area of square.
32.5 ft squared - 7.5 ft squared = 25 ft squared.
So, area of square = 25 ft squared.
Now, by putting the formula for getting the length of each side:
Let the side = a.
Area of square = 25 ft squared
Area of square = a²
Using square root both sides we get:
So, the side = 5 ft.
Therefore, the length of each side of square is 5ft.
