Which point represents the unit rate
2 answers:
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26% of all the employees attend night school
Step-by-step explanation:
The given is:
- Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school
- 40 percent of all employees are male
We need to find what percent of all the employees attend night school
Assume that the number of all employees is x
∵ The company has x employees
∵ 40 percent of all employees are male
- Find 40% of x
∵ 40% × x = × x = 0.4 x
∴ The number of the male employees is 0.4 x
- Subtract 0.4 x from x to find the number of the female employees
∵ The number of female employees = x - 0.4 x = 0.6 x
∴ The number of the female employees is 0.6 x
∵ 20 percent of the male employees attend night school
- Multiply 20% by 0.4 x to find the number of male employees
who attend night school
∴ The number of male who attend night school = 20% × 0.4 x
∴ The number of male who attend night school = × 0.4 x
∴ The number of male who attend night school = 0.08 x
∵ 30 percent of the female employees attend night school
- Multiply 30% by 0.6 x to find the number of female employees
who attend night school
∴ The number of female who attend night school = 30% × 0.6 x
∴ The number of male who attend night school = × 0.6 x
∴ The number of male who attend night school = 0.18 x
Add the number of male and female who attend night school
∵ 0.08 x + 0.18 x = 0.26 x
∴ The number of male and female who attend night school is 0.26 x
- Find the percentage of 0.26 x of x
∵ × 100% = 26%
∴ 26% of all the employees attend night school
26% of all the employees attend night school
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Answer:
25.2294 feet
Step-by-step explanation:
We can solve this question drawing a triangle using the values given and then using the law of sines. (See image attached to know how to draw the triangle and use the values).
First we need to find the third angle of the triangle, that is, the angle in the vertix where the bird is:
y + 55 + 63 = 180
y = 62°
The relation between the angles and the distances are:
25 / sin(y) = x / sin(63)
25 / 0.8829 = x / 0.8910
x = 25 * 0.8910 / 0.8829 = 25.2294 feet
