Answer: The answer for x is 28.
Step-by-step explanation: Divide 70 by 10 and you get 7, which is the slope. Then multiply 4x7 and that gets you 28!
To solve, divide by 7.
-2 < x < 3
The graph is a number line with open circles at -2 and 3 and a solid line between them.
Let us calculate the teacher's initial speed. It can be calculated as thus:
She does 5 papers in 30 minutes. Thus means her speed is 6 minutes per paper (Because
minutes per paper).
Now, if the teacher has to complete the remaining 30 papers in the remaining 150 minutes (2 hours 30 minutes=120+30=150 minutes), she will have to go through one paper in
minutes. Thus, her speed now will have to be 5 minutes per paper.
Now, we know that 1.2 times 5=6. Therefore, it will not be wrong to say that '' she has to be 1.2 times faster instead of 20% faster" because both mean the same.
Answer:
Step-by-step explanation:
<u>Use the law of cosines:</u>
- cos ∠B = (a² + c² - b²) / (2ac)
- cos ∠B = (16² + 22² - 21²) / (2*16*22)
- cos ∠B = 0.4247
- m∠B = arccos 0.4247
- m∠B = 64.86° (rounded to the nearest hundredths)