3 years ago

Can someone explain how to find z?

Mathematics

1 answer:

Julli [10]3 years ago

6 0

The vlaue of z is 27°

Step-by-step explanation:

Given,

The angle is 63°

To find the value of z

We know that the diagonals of rhombus perpendicularly bisect each other.

Again,

z+63°+90° = 180° [ sum of all the triangle is 180°]

or, z = 27°

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Find the volume of a half sphere with a radius of 10

Ugo [173]

The volume of a sphere is calculated like so:
v = 4*pi*r^3/3
so half sphere will have half that volume:
v = (4*pi*r^3/3)(1/2)
v = 4*pi*r^3/6
plug in the data:
v = 4*pi*(10)^3/6
v = 2094.4
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3 years ago

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3 years ago

Solve for z -p(d+z)=-2z+59

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Distribute
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add 2z both sides
-pd-pz+2z=59
add pd to both sides
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undistribute z
z(2-p)=59-pd
divide bot sides by 2-p
$z=\frac{59-pd}{2-p}$
$z=\frac{pd-59}{p-2}$