Answer:
It would take Samantha 6 hours to drive 105 miles.
Step-by-step explanation:
This question can be solved by proportions.
After 4 hours she had traveled 70 miles.
This means that she travels 70/4 = 17.5 miles per hour.
How many hours would it take Samantha to drive 105 miles?
17.5 miles per hour, so for 105 miles:
105/17.5 = 6
It would take Samantha 6 hours to drive 105 miles.
Answer:
<h2>440 square units</h2>
Step-by-step explanation:
We can find half of a side of the pentagon with the expression

Because, as a regular polygon, all its sectors have the same central angle, and the apothem divides equally each sector in two equal parts.

Therefore, half of a side is 8 units long, which means each side measures 16 units.
Now, the area of a penthagon is defined by

Where
is the perimeter and
is the apothem. Where the perimeter is the sum of all sides, which is 80 units.

Therefore, the right answer is the second choice.
Answer:
1: learn to spell
2: you put it in the wrong category so no one here can help you
Step-by-step explanation:
17 - (4k - 2) ≥ 2 (k + 3)
17 - 4k + 2 ≥ 2k + 6
-4k + 19 ≥ 2k + 6
19 - 6 ≥ 2k + 4k
13 ≥ 6k
13/6 ≥ k
Done!
<u>Answer:</u>
4
<u>Step-by-step explanation:</u>
We are given that a PE class has 12 boys and 8 girls. The teacher needs to divide in maximum number of teams so that each team has an equal number of boys and girls.
For this, we will factors of 12 and 8 and their greatest common factor.
12 = 4 × 3 = 2 × 2 × 3
8 = 4 × 2 = 2 × 2 × 2
The greatest common factor is 4, therefore the maximum number of teams with equal number of boys and girls is 4.