Let's assume
that number is x
now, we are given
The difference between nine times a number an 7 is -70
nine times of that number is 9x
so, we can set up equation
now, we can solve for x
so, number is -7.........Answer
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.
__
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: 62
Step-by-step explanation:
i think
Answer:
r = 55.2 cm
Step-by-step explanation:
the arc length is calculated as
arc = circumference × fraction of circle
= 2πr × ( r is the radius )
given arc = 63.48π , then
2πr × = 63.48π ( cancel 2π on numerator/ denominator )
r × π = 63.48π ( divide both sides by π )
= 63.48 ( multiply both sides by 20 to clear the fraction )
23r = 1269.6 ( divide both sides by 23 )
r = 55.2 cm