sin(30°) = 4/x. Multiply both sides by x.
x * sin(30°) = 4. Divide each side by sin(30°).
x = 4/sin(30°). Solve for x.
x = 8.
Answer:
see attached
Step-by-step explanation:
graph y = -3/2x - 2
x Intercept: 0 = -3/2x -2
3/2x = -2
x = <u>-2 (2)</u>
3
x = -4/3
(-4/3, 0)
y intercept: (0, -2)
<span>87 less than the quotient of an unknown number and 43 is -75
Converting that to mathematical equation:
87 - (x / 43) = -75
Evaluating the equation, we can the value of x.
87 - (x/43) = -75
-x/43 = -75 - 87
-x/43 = -162
-x = -6966
x = 6966</span>
Answer:
Order from Least to Greatest
-4/7 < -1/19 < 7/4
Showing Work
Rewriting as fractions or any negatives if necessary:
-1/19, 7/4, -4/7
The least common denominator (LCD) is: 532.
Rewriting as equivalent fractions with the LCD:
-28/532, 931/532, -304/532
Ordering these fractions by the numerator:
-304/532 < -28/532 < 931/532
Therefore, the order of your input is:
-4/7 < -1/19 < 7/4
Answer:
76.8
Step-by-step explanation:
1. We assume, that the number 31.25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 31.25, so we can write it down as 100%=31.25.
4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.
5. Now we have two simple equations:
1) 100%=31.25
2) x%=24
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=31.25/24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 24 is what percent of 31.25
100%/x%=31.25/24
(100/x)*x=(31.25/24)*x - we multiply both sides of the equation by x
100=1.3020833333333*x - we divide both sides of the equation by (1.3020833333333) to get x
100/1.3020833333333=x
76.8=x
x=76.8
now we have:
24 is 76.8% of 31.25
