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3 years ago

8

The table shows the five most populated countries in the world. How many times as many people live in China then in the United S

tates? Round to the nearest 10th if necessary.

2 answers:

Lemur [1.5K]3 years ago

8 0

About 4 times as much

svlad2 [7]3 years ago

5 0

The answer is about 4 times as many people live in China then in the United States

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Write and solve a system of equations for the situation described below. Define your variables and write your solution as a sent

Delicious77 [7]

N = nickels and q = quarters

0.05n + 0.25q = 1.90
n = 2q + 3

0.05(2q + 3) + 0.25q = 1.90
0.10q + 0.15 + 0.25q = 1.90
0.10q + 0.25q = 1.90 - 0.15
0.35q = 1.75
q = 1.75/0.35
q = 5 ......there are 5 quarters

n = 2q + 3
n = 2(5) + 3
n = 10 + 3
n = 13 <=== there are 13 nickels

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3 years ago

Use the distributive property to express the sum of 80+96 as a multiple of 2 numbers with no common factor.

devlian [24]

Note that 80 is 16*5 and 96 is 16*6. Therefore, their sum is 16*5+16*6=16*(5+6), or 16*11. The sum is 176.

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3 years ago

What is the area of the sector ?

worty [1.4K]

They forget to say "not to scale". I'm guessing this is trig because I don't see another way to do it.

Let's consider x=chord PQ first. By the Law of Cosines

$x^2 = 3^2 + 5^2 - 2(3)(5) \cos 81^\circ = 34 - 30\cos 81^\circ$

We have an isosceles triangle formed by two radii of 9 cm and x=PQ. By the Law of Cosines again,

$x^2 = 9^2 + 9^2 - 2(9)(9) \cos B$

$x^2 = 162 - 162 \cos B$

$\cos B = \dfrac{162 - x^2}{162} = 1 - \dfrac{x^2}{162}$

$\cos B = 1 - \dfrac{34 - 30\cos 81^\circ}{162}$

$B = \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ }{162} \right)$

The area of the circle is the fraction given by the angle,

$A = \dfrac{B}{360^\circ} \pi r ^2$

$A \approx \dfrac{ \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ}{162} \right) }{360} (3.142)9^2$

$A\approx 24.7474332960707$

Answer: 24.7 sq cm

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2 years ago

Someone pls help, pls pick brainliest.

Dominik [7]

Answer:

what is your problem im a kid

3 0

2 years ago

Read 2 more answers

What is the solution to the system of equations?

vesna_86 [32]

The correct answer is (10,-20), because the equation already gives you the correct x value. Then, from there you just plug 10 in for x in the y equation. Giving you a -20, :)

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2 years ago