Answer:
36 inches
Step-by-step explanation:
lets think of it as a ratio,
80:w
20:9
so we want 20 to get to 80
and 9 to get to w right?
so if we just move the smaller rectangle to the corner, then 20*4=80 right?
and if we do that, we do it to 9 as well, 9*4=36
w=36
Answer:
A. IV
Step-by-step explanation:
The figure is congruent, but rotated. Additionally, the figure is rotated/on point (4,4).
See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
Answer:
x = 10°
Step-by-step explanation:
The diagonals of a rhombus divide the figure into congruent right triangles. That means the two marked acute angles are complementary.
__
<h3>solve for x</h3>
Complementary angles total 90°, so the relation we can use to find x is ...
(3x -13) +(8x -7) = 90
11x = 110 . . . . . . . . . add 20
x = 10 . . . . . . . . . divide by the coefficient of x
The value of x is 10°.
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