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2 years ago

Someone help, math quiz

Mathematics

1 answer:

Serggg [28]2 years ago

8 0

So your gonna Multiply each term in the first parentheses by each term in the second parentheses “ -5x5-5i-5x2i-2ix i ” than multiply the numbers “ -25 -5i -5x2i -2ixi ” that’s your answer!

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Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes. How many coins did he ha

Alborosie

Answer:

180 coins

Explanation:

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

1) N = D + 43

2) D' = D - 17

3) N = 2*D' = 2*(D - 17)

Set equations 1) and 3) equal to each other and solve for D:

D + 43 = 2*(D - 17)

D + 43 = 2*D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins (I hope this is not too confusing for you)

8 0

1 year ago

The volume of the cell phone is 75 cubic centimeters. Write and solve an equation to find the height of the cell phone. Round yo

prohojiy [21]

Answer:

Equation: $Height = \frac{75}{Area}$

Step-by-step explanation:

The question is incomplete as the dimension of the phone was not given.

However, the following explanation will guide you

Given

$Volume = 75\ in^3$

Required

Determine the Height

Volume is calculated as thus;

$Volume = Area * Height$

Substitute 75 for Volume

$75= Area * Height$

Divide through by Area

$Height = \frac{75}{Area}$

The above represent the equation to solve for Height

To solve for height, we need the dimension of the phone or the area.

Take for instance; the length and width of the phone is 5 by 5 inches;

The height would be:

$Height = \frac{75}{5 * 5}$

$Height = \frac{75}{25}$

$Height = 3\ inches$

5 0

2 years ago

How can you prove: secθ = cscθtanθ

zavuch27 [327]

$\sec \theta=\csc \theta\tan \theta\\\\ \dfrac{1}{\cos \theta}=\dfrac{1}{\sin \theta}\cdot\dfrac{\sin \theta}{\cos \theta}\\\\ \dfrac{1}{\cos \theta}=\dfrac{1}{\cos \theta}$