Answer:
x° = 64°
Explaination:
This is a right angled triangle so one of the angle is 90°.
So, x° + 90° = 154° (Exterior angle property)
x° = 154° - 90° = 64°
Therefore x° = 64°
Answer:
The volume of the solid is 243
Step-by-step explanation:
From the information given:
BY applying sphere coordinates:
0 ≤ x² + y² + z² ≤ 81
0 ≤ ρ² ≤ 81
0 ≤ ρ ≤ 9
The intersection that takes place in the sphere and the cone is:
Thus; the region bounded is: 0 ≤ θ ≤ 2π
This implies that:
ρcosФ = ρsinФ
tanФ = 1
Ф = π/4
Similarly; in the X-Y plane;
z = 0
ρcosФ = 0
cosФ = 0
Ф = π/2
So here; 
Thus, volume: 
![V = \bigg [-cos \phi \bigg]^{\pi/2}_{\pi/4} \bigg [\theta \bigg]^{2 \pi}_{0} \bigg [\dfrac{\rho^3}{3} \bigg ]^{9}_{0}](https://tex.z-dn.net/?f=V%20%3D%20%5Cbigg%20%5B-cos%20%5Cphi%20%20%5Cbigg%5D%5E%7B%5Cpi%2F2%7D_%7B%5Cpi%2F4%7D%20%20%5Cbigg%20%5B%5Ctheta%20%20%5Cbigg%5D%5E%7B2%20%5Cpi%7D_%7B0%7D%20%5Cbigg%20%5B%5Cdfrac%7B%5Crho%5E3%7D%7B3%7D%20%20%5Cbigg%20%5D%5E%7B9%7D_%7B0%7D)
![V = [ -0+ \dfrac{1}{\sqrt{2}}][2 \pi -0] [\dfrac{9^3}{3}- 0 ]](https://tex.z-dn.net/?f=V%20%3D%20%5B%20-0%2B%20%5Cdfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5D%5B2%20%5Cpi%20-0%5D%20%5B%5Cdfrac%7B9%5E3%7D%7B3%7D-%200%20%5D)
V = 243
13,because it’s the single number that divides with 52
52:13=4
Based on the above scenario, the sales director conducted an <u>experiment</u>.
- Because a treatment <u>was </u>applied to the sales representatives.
- The the best statistical study for this situation because the sales director is trying to establish <u>correlation</u>.
<h3>What is an experiment?</h3>
An experiment is known to be a method that is et up with the aim to test a given hypothesis as a component of a scientific method.
In an experiment, there are the two key variables which are the independent and dependent variables. The independent variable is known to be a controlled or it is tested against the dependent variable.
See full question
Part A.
The sales director conducted a.) an experiment b.) a survey c.)an observational study because a treatment a.) was not b.)was applied to the sales representatives.
This is the best statistical study for this situation because the sales director is trying to establish a.) causality b.) correlation.
Learn more about experiment from
brainly.com/question/17274244
Answer:
the answer is 30 different ways
Step-by-step explanation:
