Answer:
y = 2/3x - 1
Step-by-step explanation:
Find the slope:
2y = 3x - 5
2/2y = 3/2x - 5/2
y = 3/2x - 5/2
Slope is 3/2
In order for a line to be perpendicular the slope in the equation should be flipped. 3/2 becomes 2/3.
Perpendicular equation:
y = 2/3x + b
b is going to be equal to the y intercept of the point they gave us, so -1.
Answer: y = 2/3x - 1
Step 1: Find out what 10 to the 5th power is equal to. it = 100,000
<span>Step 2: Multiply 100,000 by 10 </span>
<span>Step 3: your answer = 1,000,000</span>
The volume of the sphere will be 49π cubic cm. Then the correct option is C.
<h3>What is the volume of the sphere?</h3>
Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
The figure shows a vertical cross-section of a sphere inscribed in a right cone.
A vertical cross-section of a sphere inside a cone has a radius labeled as r. The height of the cone is 12 centimeters. The half length of the face of the cone is 5 centimeters.
Then the volume of the sphere will be
In ΔADF, we have
tan a = 5 / 12
a = 22.61°
Then in triangle ΔABC, we have
sin 22.61° = r / (12 - r)
0.38 = r / (12 - r)
4.62 - 0.38r = r
1.38r = 4.62
r = 3.34 cm
Then the volume of the sphere will be
V = 4/3 π(3.34)³
V = 49π cubic cm
Then the correct option is C.
More about the volume of the sphere link is given below.
brainly.com/question/9994313
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