Answer:
Step-by-step explanation:
<h3>
Sphere:</h3>
1) a) r = 7 cm



= 4*3.14 * 7 * 7
= 615.44 cm²
b) r= 8.4 cm


Surface area = 4*3.14*8.4*8.4
= 887.04 cm²
<h3>Hemisphere:</h3>
a) r = 6 cm




= 3 * 3.14 * 6 * 6
= 339.12 cm²
Answer:
The factorization of
is 
Step-by-step explanation:
This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form
or
. It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).
Let's solve the factorization of
by using the <em>sum and difference of cubes </em>factorization.
1.) We calculate the cubic root of each term in the equation
, and the exponent of the letter x is divided by 3.
![\sqrt[3]{729x^{15}} =9x^{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729x%5E%7B15%7D%7D%20%3D9x%5E%7B5%7D)
then ![\sqrt[3]{10^{3}} =10](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B10%5E%7B3%7D%7D%20%3D10)
So, we got that
which has the form of
which means is a <em>sum of cubes.</em>
<em>Sum of cubes</em>

with
y 
2.) Solving the sum of cubes.


.
Answer:
0.4t
Step-by-step explanation:
1.4t-t=0.4t
Hope this helps :)
Hello!
To solve this we use the equation sin60 = (s/2) / (d/2)
s is a side of the triangle
d is the diameter
sin60 = s/d




put 6 in for s


d = 6.9
The answer is C) 6.9
Hope this helps!
Answer:
Graph D
Step-by-step explanation:
it does not pass the linear test to qualify as a function