Given:
The diameter of the sphere = 42 cm
To find the volume of the given sphere.
Formula:
The volume of a sphere is given by 
The radius is given by 
<u>Volume of the sphere:</u>
The volume of the sphere is given by
Simplifying, we get;
Multiplying the terms, we have;
Dividing, we get;
Thus, the volume of the sphere is 38772.7 cubic cm.
Answer:
Down to the right.
Like down hill
Step-by-step explanation:
Answer:
5. B) x = 7
6. D) 35°
7. C) 67°
8. A) 142°
Step-by-step explanation:
5. Inscribed angle of a semicircle is equal to 90°. Therefore,
16x - 22 = 90
Solve for x
16x - 22 + 22 = 90 + 22
16x = 112
16x/16 = 112/16
x = 7
6. Recall: inscribed angle = ½(intercepted arc)
3x - 1 = ½(8x - 26)
2(3x - 1) = 8x - 26
6x - 2 = 8x - 26
Collect like terms
6x - 8x = 2 - 26
-2x = -24
-2x/-2 = -24/-2
x = 12
m<LMN = 3x - 1
Plug in the value of x
m<LMN = 3(12) - 1 = 36 - 1
m<LMN = 35°
7. Recall: inscribed angle = ½(intercepted arc)
Therefore,
4x + 28 = ½(11x - 1)
2(4x + 28) = 11x - 1
8x + 56 = 11x - 1
Collect like terms
8x - 11x = -56 - 1
-3x = -57
-3x/-3 = -57/-3
x = 19
Arc BC = 360° - (Arc AC + Arc AB) (Full circle)
Substitute
Arc BC = 360 - (11x - 1 + 85)
Plug in the value of x
Arc BC = 360 - (11*19 - 1 + 85)
Arc BC = 360 - (209 - 1 + 85)
Arc BC = 360 - 293
Arc BC = 67°
8. Inscribed angles intercepted by the same arc are equal. Therefore,
8x - 41 = 5x + 1
Collect like terms
8x - 5x = 41 + 1
3x = 42
3x/3 = 42/3
x = 14
5x + 1 = ½(arc PS) => inscribed angle = ½ of intercepted arc
2(5x + 1) = arc PS
Plug in the value of x
2(5*14 + 1) = arc PS
2(70 + 1) = arc PS
2(71) = Arc PS
Arc PS = 142°
X=155 y=19.86
Is you multiply it by 15 each you get this
The statement <S and <H are equal in measure is False
<h3>How to determine the true statement?</h3>
The similarity statement is given as:
ΔRST is similar to ΔHGF
This means that:
- Angles R and H are congruent
- Angles S and G are congruent
- Angles T and F are congruent
Hence, the statement <S and <H are equal in measure is False
Because S equals G and R equals H
Read more about similar triangles at:
brainly.com/question/14285697
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