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2 years ago

The width of a rectangle is 1/3 its length, l .

1 answer:

5 0

The correct expression for perimeter is 2(l+1/3l). If you solve this for 56; 2(l+1/3l) = 56. You find that l = 21. If l = 21, then the width is 7, and Area = l * w, so the area of the rectangle is 147 square inches.

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Greenville and north valley are 4.5 inches apart 1 inch equals 20 mkiles

Greeley [361]

90 would be your answer.

5 0

3 years ago

The number of games in the first round of a chess tournament is equal to 2×2×2×2×2×2. Write the number of games using an exponen

Naily [24]

Answer:

2^6

Step-by-step explanation:

2 is being multiplied 6 times meaning it would be 2 to the 6th power.

8 0

3 years ago

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 .

8 0

2 years ago

. Express the following as a percent: 5 out of 30. Round to the nearest whole number

balandron [24]

5,10,15,20,25,30 that is 1,2,3,4,5,6 6 of 100 is 18

3 0

3 years ago

Read 2 more answers

5x + 10 = 20

Andrei [34K]

To solve for x, we must first isolate the term containing x which in this problem is 5x.

Since 10 is being added to 5x, we subtract 10 from both sides of the equation to isolate the 5x.

On the left, the +10 and -10 cancel out and on the right, 20 - 10 is 10 and we have 5x = 10.

Now we can finish things off by just dividing both sides of the equation by 5. On the left the 5's cancel and on the right, 10 divided by 5 is 2 so x = 2.

4 0

3 years ago