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2 years ago

Find all 2-digit natural numbers that have exactly three factors.

Mathematics

1 answer:

natali 33 [55]2 years ago

8 0

Answer:

25,49.

Step-by-step explanation:

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All the numbers round to 7 except 6.61 7.89 6.58 7.37

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7.89 rounds off to 8

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which inequality best represents the situation of you must be at least 52 inches tall to ride the water ride

Nataliya [291]

C ; x must be greater than or equal to 52 because you have to be 52 inches or greater to ride this ride.

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3 years ago

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Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$

And the slope of the second line is ,

$\sf\longrightarrow Slope_2 =\dfrac{-6}{a}$

Step 3: Multiply the slopes :-

$\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1$

Multiply ,

$\sf\longrightarrow \dfrac{-9}{a}= -1$

Multiply both sides by a ,

$\sf\longrightarrow (-1)a = -9$

Divide both sides by -1 ,

$\sf\longrightarrow \boxed{\blue{\sf a = 9 }}$

Hence the value of a is 9 .

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2 years ago

Question 1

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Income Tax

<h3>Which applications involve percentages?</h3>

Sales tax will involve percentage because the sales tax percentage will be needed to calculate the sales tax. The same goes for the income tax.

Commissions also involve percentages as the commission is a percentage of sales. The original sales price can only be acquired by using the discount or markup percentage applied to it to get the current sales price.

Find out examples of commission percentages at brainly.com/question/24951536.

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Marie will earn $15 per hour at a new job.

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