The answer is 18.
Here's how I got my answer:
Step 1: Subtract to get 3. Which will leave you with
Step 2: Solve (81). Which leaves you with
Step 3: Do to get
Step 4: Simplify to get your answer: 18
Answer:
7. one triangle
8. two triangles
Step-by-step explanation:
When you are given two sides and one of the opposite angles, you can make a determination as follows:
- If the given angle is <em>opposite the longest given side</em>, there is one solution.
- If the given angle is <em>opposite the shortest given side</em>, there may be 0, 1, or 2 solutions.
For the latter case, the possibilities for sides b, c, and angle C are ...
C > 90° . . . . . . . . no solution
(b/c)sin(C) > 1 . . . no solution
(b/c)sin(C) = 1 . . . 1 solution
(b/c)sin(C) < 1 . . . 2 solutions
(The expression (b/c)sin(C) gives sin(B), so the value must lie within the range of the sine function in order for there to be any solution.)
_____
7. The given angle is opposite the <em>longest</em> given side. There is one solution.
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8. The given angle is opposite the <em>shortest</em> given side, so we compute
(b/c)sin(C) = (34/28)sin(20°) ≈ 0.41
This is less than 1, so there are two solutions.
Answer: D.
Step-by-step explanation:
You want to cube each term in the parentheses. When you take an exponent to an exponent, you just multiply them. You get (27m^-12). In order to get rid of that negative exponent, you should put a one over the m term and make -12, +12:
Multiply the numerators to get:
You now have:
When you divide exponents, you subtract them. 5 - 12 = -7
You have m^-7 which is the same as 1/m^7. Finally, mulitply that by the 81 we left out to get the answer of D.
Answer:
22.50
Step-by-step explanation:
874 = 900
38 = 40
900 / 40 = 22.5 = $22.50
Answer:
2.09 or 2 and 9/100
Step-by-step explanation:
2 1/2 - 41/100 =
5/2 - 41/100=
250/100 - 41/100=
209/100=
2 and 9/100 Or 2.09
I hope this helped you.