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SVEN [57.7K]
3 years ago
8

What is the equation of the line whose graph is parallel to the graph of y=3x-10

Mathematics
1 answer:
TEA [102]3 years ago
3 0
Hello,

y=3x+b is parallele to y=3x-10
In order to determine b, we must know something else.

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Answer:

The pythogarean theorem,

Step-by-step explanation:

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During the summer Andrew worked for 5 days each week he worked 8 hours each day
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He made $40 those 5 days.

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Mr. Young is offered an investment opportunity. Kyra says she will invest his money at a 6% simple interest rate over the next 7
gregori [183]

Answer:

$126

Step-by-step explanation:

Given that:

Investment is done as per Simple interest.

Principal = $3000

Time for which the investment is to done = 7 years

Rate of interest = 6%

To find:

Interest earned when the investment matures?

Solution:

Formula for Simple Interest :

Simple\ Interest = \dfrac{PRT}{100}

Where P is the principal amount

R is the Rate of Interest

T is the time for which the investment is made

Putting the given values:

Simple\ Interest = \dfrac{3000\times 6\times 7}{100}\\\Rightarrow Simple\ Interest = \dfrac{12600}{100}\\Simple\ Interest = \$126

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Interest earned is <em>$126</em>.

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3 years ago
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1. Trapezoid BEAR has a height of 8.5 centimeters and parallel bases that measure 6.5 centimeters and 11.5 centimeters. To the n
e-lub [12.9K]
<h3>Given</h3>

1) Trapezoid BEAR with bases 11.5 and 6.5 and height 8.5, all in cm.

2) Regular pentagon PENTA with side lengths 9 m

<h3>Find</h3>

The area of each figure, rounded to the nearest integer

<h3>Solution</h3>

1) The area of a trapezoid is given by

... A = (1/2)(b1 +b2)h

... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77

The area of BEAR is about 77 cm².

2) The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...

... A = (1/2)ap

... A = (1/2)(s/(2tan(180°/n)))(ns)

... A = (n/4)s²/tan(180°/n)

We have a polygon with s=9 and n=5, so its area is

... A = (5/4)·9²/tan(36°) ≈ 139.36

The area of PENTA is about 139 m².

6 0
3 years ago
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