Need answers before 12:13

Mathematics

1 answer:

Rina8888 [55]3 years ago

5 0

Answer/Step-by-step explanation:

17. Slope = rise/run

rise = 5

run = 7

Slope = -⁵/7

18. Slope = rise/run

rise = 4

run = 4

Slope = -⁴/4 = -1

19. Slope = rise/run

rise = 3

run = 5

Slope = -⅗

20. Slope = rise/run

rise = 4

run = 1

Slope = -⁴/1 = -4

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What is the length of the side opposite the 30° angle?

Sladkaya [172]

Answer:

5/√3 inches long.

Step-by-step explanation:

The property is that the lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3. Thus if you know that the side opposite the 60 degree angle measures 5 inches then then this is √3 times as long as the side opposite the 30 degree so the side opposite the 30 degree angle is 5/√3 inches long.

8 0

2 years ago

If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per pe

Sonja [21]

Answer:

$Z= 75*6 -250=200$

So then the correct answer is B. $200.

Step-by-step explanation:

Notation

Let X be the average contribution size before John makes his contribution.

Let Y be the total contribution size before John makes his contribution.

Let Z be John's contribution.

We know that for this case $ 75 represent the original average amount before the contribution with 50% increase so we can set up the following equation in order to find the original average amount

$1.5 X = 75$