Answer:
18in^2
Step-by-step explanation:
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
<h3>Volume of composite object</h3>
The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:
V = 4/3πr³
where:
r is the radius of the sphere
<u>For the outer sphere:</u>
V = 4/3π(20)³
<u>For the inner sphere:</u>
V = 4/3π(4)³
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
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33% depending on if your numbers is the same as mine
Answer:
<HKJ = 90
<FKG = 42
<FKJ = 138
<IKJ = 42
<FKH = 132
<GKI = 138
Step-by-Step :
<GKH , <HKI , and <IKJ all make up a line. A line is 180 degrees.
90 + 48 = 138 180 - 138 = 42 <IKJ = 42
<FKG is a vertical angle to <IKJ. Vertical angles are congruent.
<FKG = 42
<FKG and <FKJ make up a line. A line is 180 degrees.
180 - 42 = 138 <FKJ = 138
Hope this helps.
The two solutions to the given quadratic equation are 2i/3, -2i/3 and they are both complex solutions.
Hence, option C is the correct answer.
<h3>What are the solutions to the quadratic equation?</h3>
Given the equation; 9x² + 4 = 0
First, we subtract 4 from both sides.
9x² + 4 = 0
9x² = -4
x² = -4/9
Take the square roots of both sides
x = ±√(-4/9)
Rewrite -4/9 as (2i/3)²
x = ±√(2i/3)²
x = ±(2i/3)
Hence,
x = 2i/3, -2i/3
Therefore the two solutions to the given quadratic equation are 2i/3, -2i/3 and they are both complex solutions.
Hence, option C is the correct answer.
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