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Illusion [34]
3 years ago
15

In 10 years, the population of Detroit fell from 950,000 to about 712,500. Find the total percent decrease.

Mathematics
1 answer:
FrozenT [24]3 years ago
5 0

Answer: 237,500 total decrease

Step-by-step explanation:

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The sixth term is 22 and the common difference is six what is the fiftieth term
garri49 [273]
ANSWER

The fiftieth term is 286.

EXPLANATION

A sequence with a common difference,

d = 6

is an arithmetic progression.

The nth term is

a_n=a_1 + d(n - 1)

If the sixth term is 22 then,

22=a_1 + 6(6 - 1)

22=a_1 + 30

22 - 30=a_1

a_1 = - 8

The fiftieth term is

a_{50}= - 8 + 6(50 - 1)

a_{50}= - 8 + 6 \times4 9

a_{50}=- 8 +294


a_{50}=286
6 0
3 years ago
The total length of the stage is 76 feet. If the trap doors are centered across the stage, what is the distance from the left si
Luden [163]

since the distance from the outside edges is 26 1/2 feet, divide that by 2 to get the distance from the center to the edge ( 26 1/2 / 2 = 13 1/4 feet)

 the stage is 76 feet so divide that by 2 to find the center 76/2 = 38 feet

 now subtract the 13 1/4 from 38

38 - 13 1/4 = 24 3/4 feet from the side of the stage to the edge of the trap door


 a little easier way would be to subtract the 26 1/2 from 76 and then divide by 2

76-26 1/2 = 49 1/2 / 2 = 24 3/4

8 0
4 years ago
Triangle A B C is shown. Angle C A B is a right angle. Angle A B C is 30 degrees and angle B C A is 60 degrees. The length of A
marishachu [46]

Answer:

i. sin(C) = \frac{\sqrt{3} }{2}

ii. tan(C) = \sqrt{3}

iii. sin(B) = \frac{1}{2}

Step-by-step explanation:

Given a right angled triangle ABC, with a right angle at A.

<ABC = 30^{0}

<BCA = 60^{0}

AC = 9 = 1

CB = 18 = 2

Applying Pythagoras theorem to ΔABC, we have;

AB = \sqrt{BC^{2} - AC^{2} }

    = \sqrt{2^{2} - 1^{2}  }

   = \sqrt{3}

Thus applying the trigonometric ratios, it would be observed that;

i. sin(C) = \frac{\sqrt{3} }{2}

ii. tan(C) = \sqrt{3}

iii. sin(B) = \frac{1}{2}

3 0
3 years ago
Read 2 more answers
Can somebody explain PEMDAS (Order of Operations) to me?
s344n2d4d5 [400]

It's simple.

P - Parentheses

E - Exponents

D - Division

M - Multiplication

A - Addition

S - Subtraction

Whenever we have an expression or problem that involves these operations. We solve them according to the order given above.

6 0
3 years ago
If p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r
Ivenika [448]
The answer is 6:27:4
8 0
3 years ago
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