What is the image of s (2 -5) after a rotation of 90 degrees clockwise about the origin
1 answer:
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Answer:
1. x = 5
Step-by-step explanation:
1.
The Trapezoid Midsegment Theorem states that a line segment connecting the midpoints of the legs of the trapezoid is parallel to the bases, and equal to half their sum.
In this problem you can see that 5x - 1 is the midsegment of the trapezoid, so using the rule:
solve:
2. Diagonals are congruent
You can see in this picture that the diagonals are not always congruent:
Answer:
324π in²
Step-by-step explanation:
The surface area of a sphere = 4πr² ( r is the radius )
Calculate r using the volume (V) formula
V = πr³
Here V = 972π , thus
πr³ = 972π ( divide both sides by π )
r³ = 972 ( multiply both sides by 3 to clear the fraction )
4r³ = 2916 ( divide both sides by 4 )
r³ = 729 ( take the cube root of both sides )
r = = 9
Thus
surface area = 4π × 9² = 4π × 81 = 324π in²