Which relationship describes angles 1 and 2?
2 answers:
Answer: The answer is (A) complementary angles.
Step-by-step explanation: We are given a figure involving angles 1 and 2 and we are to select the correct relation between these two angles.
We have
We know that, if the sum of two angles is 90°, then they are said to be complementary angles.
Thus, ∠1 and ∠2 are complementary angles.
Thus., (A) is the correct option.
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B
the volume (V) of a sphere = πr³
We require to know the radius r to calculate the volume
using surface area of a sphere = 4πr² = 615.752
divide both sides by 4π
r² = = 49.0248...
take the square root of both sides
r = ≈ 7, hence
V= × π × 7³ = 1436.76 m³ → B
Answer:
W = 2 cm
L = 5 cm
Step-by-step explanation:
A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.
A = l*w
10 = (4w - 3)(w)
10 = 4w² - 3w
Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.
4w² - 3w - 10 = 0
Substitute a = 4, b = -3 and c = -10.
There are two possible solutions which can be found.
3 + 13 / 8 = 16/ 8 = 2
3 - 13 / 8 = -10/8 = -5/4
Since w is a side length or distance, it must be positive so w = 2 cm.
If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.