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.)
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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: One face is 16 square centimeters.
Step-by-step explanation: To find the area of a face, you need to know the length of the side. All the sides of the cube are the same, so take the cube root of 64.
cm is the length of the side
The area of one face is the side length squared 4² = 16
4cm × 4cm = 16 square centimeters.
$80 x 0.19% = $15.2
$80 + $15.2 = $95.2
$110 - $95.2 = $14.80
The answer is: d. $14.80
Answer: the cost per ounce of coffee
Explanation:
Since you are graphing the total cost on the y-axis and the ounces of coffee on the x-axis, and since slop=rise/run, your slope would be total cost/ounces of coffee. Which is what D says.