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andriy [413]
3 years ago
8

The amount of a person’s paycheck p varies directly with the number of hours worked t. For 10 hours of work, the paycheck is $57

.50. Write an equation for the relationship between hours of work and pay.
Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0

Step-by-step explanation:

The variation is direct, i.e. more the time of work, more the amount.

For 10 hours, the paycheck is $57.50,

so for 1 hour, the paycheck is $57.50 ÷ 10, or $5.75.

This means that for t hours of work, the value of the paycheck will be $5.75 × t.

So for the equation, assuming that p is the paycheck value (in dollars) and t is the number of hours,

p = 5.75 × t

Please mark Brainliest if this helps!

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Triangle ABC and DEF are right triangles, as shown. Triangle ABC is similar to triangle DEF. which ratios are equal to sin C?
Dafna11 [192]

Answer:

First option and Fourth option.

Step-by-step explanation:

To solve this exercise you need to use the following Trigonometric Identity:

sin\alpha=\frac{opposite}{hypotenuse}

In this case you know that:

\alpha =C

Since triangle ABC is similar to triangle DEF:

\angle C=\angle F

Let's begin with the triangle ABC.

You can identify that:

opposite=AB\\hypotenuse=AC

Then, substituing values, you get:

sinC=\frac{AB}{AC}

In triangle DEF, you know that:

opposite=DE\\hypotenuse=DF

So, substituing values, you get:

sinF=sinC=\frac{DE}{DF}

4 0
3 years ago
In ΔLMN, n = 910 inches, ∠L=64° and ∠M=31°. Find the length of l, to the nearest 10th of an inch​
mr_godi [17]

Answer:

821

Step-by-step explanation:

8 0
3 years ago
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If the average grade of an English class rose from 70 to 85, what is the approximate percent increase?
ratelena [41]

Answer:

The percent increase is approximately 21%

Step-by-step explanation:

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Move decimal over twice to the right and you would get 21%

I hope you have/had an amazing day<3

6 0
2 years ago
If the sum of three consecutive terms of GP are k-4,k,k+5. Find k
labwork [276]

Answer:

k = 20

Step-by-step explanation:

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kozerog [31]
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