Answer:
P ≈ 48.89°(nearest hundredth)
Step-by-step explanation:
The triangle PQR forms a right angle triangle since angle R is 90°. The triangle has an hypotenuse , adjacent and opposite side.
Using the SOHCAHTOA principle one can find the sine ratio of angle P. Let us designate where each side represent.
opposite side(QR) = 55
adjacent side(PR) = 48
hypotenuse(PQ) = 73
sin P = opposite/hypotenuse
sin P = 55/73
P = sin⁻¹ 55/73
P = sin⁻¹ 0.75342465753
P = 48.8879095605
P ≈ 48.89°(nearest hundredth)
Answer:
If the volume of a cube is 64 cm3, then the side length is 4 cm, because 4x4x4 = 64.
If the side length is 4cm, then the area of one side is 16cm2, and the surface area is 96cm2
Let me know if this helps!
Answer:
0.74
Step-by-step explanation:
The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:
σ² = ![\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B%7B%28x_%7B1%7D-%5Bx%20bar%5D%20%29%7D%5E%7B2%7D%2B...%2B%7B%28x_%7Bn%7D-%5Bx%20bar%5D%29%20%7D%5E%7B2%7D%7D%7Bn%7D)
x = number in the data set
xbar = median of the data set
n = number of terms
Plugging in the given values, the equation for the variance of this number set is:
σ² = 
Solving:
= 
= 
σ² = 0.546875
Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:
= 0.73950997288745
= 0.74 (rounded)
hope this helps!
