Answer:
It will be quadrupled
Step-by-step explanation:
we know that
All spheres are similar
so
The ratio of the surface areas of two spheres is equal to the scale factor squared
Let
z ----> the scale factor
x ----> surface area of the sphere with radius doubled
y ----> surface area of the original sphere
so
The scale factor is 2 (because the radius of the sphere will be doubled)
substitute
so
The new surface area is 4 times the original surface area
therefore
The surface area will be quadrupled
Answer:
22.5 cm
Step-by-step explanation:
In the figure attached the graph of the problem can be seen.
Given the triangles are similar then the next proportion must be satisfied:
13.5/9 = 18/12 = x/15 = 1.5
Isolating x, we get:
x/15 = 1.5
x = 1.5*15
x = 22.5 cm
This isn't my work. Thanks to jbiain.
Answer:
x ∈ {-4.53, 5.30, 31.23}
Step-by-step explanation:
Finding irrational roots of cubic equations is best done using a graphing calculator. This one shows the values of x to be ...
x ∈ {-4.53, 5.30, 31.23}
Remember that complementary angles are the angles whose sum is 90 degrees, so for example if angle
and angle
are complementary; then
.
In our case we have an angle a whose measure is 42° and and angle b, repented by x, whose measure we don't know; similarly:
We can conclude that the equation that represents this situation with x representing the measure of ∠b is <span>
42+x=90.</span>