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3 years ago

40 hours is 79% of what?

Mathematics

1 answer:

Vikentia [17]3 years ago

6 0

Step-by-step explanation:

This is what I got. I hope it's correct.

Let the unknown number be x

$79 \% \: of \: x = 40$

% = /100

$\frac{79}{100} \times x = 40 \\ \frac{79x}{100} = 40$

Cross Multiply

$79x = 100 \times 40 \\ 79x = 4000$

Divide both sides of the equation by 79

$\frac{79x}{79} = \frac{4000}{79}$

Simplify

$x = 50.6329 \\ \\ x = 50.6$

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Here are two patterns made using identical rhombuses. Without using a protractor, determine the value of a and b.

satela [25.4K]

Answer:

a = 60°

b = 120°

Step-by-step explanation:

First, you can find measure a by using the first shape. There are six rhombuses, and you can use the innermost a of each one to form a circle. A full circle is 360°, so divide 360 by six. The answer is sixty. So on the next shape, the a measurements add up to 120°. Subtract that from the circle: 360 - 120 = 240. And since there are two measurements for b, you would divide 240 by two. The answer is 120.

To check your work, use the knowledge that circles are 360° (the four interior corners of a rhombus will also add up to 360°. 2(120) + 2(60) = 360. Hope this helps! Feel free to ask any questions!

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2 years ago

Read 2 more answers

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Lilit [14]

By using y=mx+b you get y=-3/8x-17/8

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3 years ago

WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$

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2 years ago

A town has a population of 20000 and grows at 4% every year. What will be the population after 6 years, to the nearest whole num

zaharov [31]

Answer:

25306

Step-by-step explanation:

a=starting value = 20000

r=\text{rate = }4\% = 0.04

r=rate = 4%=0.04

\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.04=1.04

\text{Write Exponential Function:}

Write Exponential Function:

y=20000(1.04)^x

y=20000(1.04)

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=20000(1.04)^{6}

y=20000(1.04)

y= 25306.38037

y=25306.38037

7 0

2 years ago

Please Help: In Δ ABC, sin A= 88, sin B= 42, and a =17 , find the length of b.

enyata [817]

Answer:

11.4 units

Step-by-step explanation:

a/sinA = b/sinB

17/sin(88) = b/sin(42)

b = sin(42) × 17/sin(88)

b = 11.3821540088

6 0

3 years ago

40 hours is 79% of what?​

40 hours is 79% of what?