Answer:
a) = 4.5
b) = 3.3
Step-by-step explanation:
Before solving our problems given to us let us under stand the rule of cube roots
It says
-----(A)
Also
---(B)
Now let us see each part one by one
a) we have
![\sqrt[3]{64} + \sqrt[3]{0.027} + \sqrt[3]{0.008}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%20%2B%20%5Csqrt%5B3%5D%7B0.027%7D%20%2B%20%5Csqrt%5B3%5D%7B0.008%7D)
Now 64 = 4 x 4 x 4
0.027 = 0.3 x 0.3 x 0.3
0.008 = 0.2 x 0.2 x 0.2
substituting these values
![\sqrt[3]{4 \times 4 \times 4} + \sqrt[3]{0.3 \times 0.3 \times 0.3} + \sqrt[3]{0.2 \times 0.2 \times 0.2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%20%5Ctimes%204%20%5Ctimes%204%7D%20%2B%20%5Csqrt%5B3%5D%7B0.3%20%5Ctimes%200.3%20%5Ctimes%200.3%7D%20%2B%20%5Csqrt%5B3%5D%7B0.2%20%5Ctimes%200.2%20%5Ctimes%200.2%7D)
Applying Rule A in above


4.5
b) we have ![\sqrt[3]{0.3 \times 0.3 \times 0.3 \times 11 \times 11 \times 11}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B0.3%20%5Ctimes%200.3%20%5Ctimes%200.3%20%5Ctimes%2011%20%5Ctimes%2011%20%5Ctimes%2011%7D)
Applying the B rule in this

3.3
Answer:
The left side 5
The bottom 10
The slanted side 11
Step-by-step explanation:
To find the perimeter of the triangle, add up the side lengths
x+ 2x+1 + x+5 = 26
Combine like terms
4x+6 = 26
Subtract 6
4x+6-6 =26-6
4x=20
Divide by 4
4x/4 = 20/4
x=4
The left side x = 5
The bottom x+5 = 5+5 = 10
The slanted side = 2x+1 = 2*1 +1 = 10+1 =11
Answer:
x = 6
Step-by-step explanation:
First, we need to cross multiply on both sides, which gives us:
9 * (5x - 6) = 27 * (2 + x)
45x - 54 = 54 + 27x
Now, we want to isolate x on either side.
We can substract 54 from both sides:
(45x - 54 = 54 + 27x) - 54
45x - 108 = 27x
We then subtract 45 from both sides:
(45x - 108 = 27x) - 45
-108 = -18x
Finally, we divide both sides by -18:
(-108 = -18x) / -18
6 = x
Answer:
C. 0.23°
Step-by-step explanation:
We are given

Re-arranging this equation (multiply by 32 on both sides and divide by
on both sides gives us:
or

Substituting for, r and v we get

Answer:
see below
Step-by-step explanation:
The graph of y=10 is the graph of all the points (x, 10) for any value of x. Each one of those points is 10 units above the x-axis. Together, those points make a horizontal line where y = 10 (!).