Answer:
3 * 10^4
Step-by-step explanation:
Here, we want to make a division
We want to divide 9 * 10^2 by 3 * 10^-2
That would be;
(9 * 10^2)/(3 * 10^-2)
= 9/3 * 10^2-(-2)
= 3 * 10^4
Answer:
88.66
Step-by-step explanation:
14.3 * 6.2
88.66
Part 1:
A. Like terms must have the same variable and exponent.
B. Give an example of two terms that cannot be combined: 7c and 4b
C. Write one complete sentence to explain why the two terms you wrote cannot be combined: 7c and 4b cannot be combined because they have different variables, and are therefore not like terms.
D. Use distributive property: 2(-4 + 6.1) + 3(5 - x)
2 * -4 = -8
2 * 6.1 = 12.2
-8 + 12.2 + 3(5 - x)
3 * 5 = 15
3 * x = 3x
-8 + 12.2 + 15 -3x
-8 + 12.2 = 4.2
4.2 + 15 = 19.2
19.2 - 3x is the simplest version.
Part 2:
A. Thor is wrong because, in step 4, he subtracted to isolate the variable when he should have divided.
B. 4x + 9 = 6
Step 1: 4x + 9 - 9 = 6 - 9
Step 2: 4x = -3
Step 3: 4x/4 = -3/4
Step 4: x = -0.75
Your answer is A: 15 inches by 15√3 inches.
We can use trigonometry to solve this. If we draw out one of the triangles we can label the 30 inch side as the hypotenuse, and then the other sides as the opposite and adjacent. Then we just have to find the lengths of these.
To find the opposite, we use the trigonometric ratio sinθ = opposite ÷ hypotenuse, and thus the opposite is sin(60) × 30 = 15√3
Automatically now we know the answer is A because that is the only option with 15√3 as a side, but you could also solve using cosθ = adjacent ÷ hypotenuse and get the other side.
I hope this helps!
