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2 years ago

10

A Student built a tent-shaped like a rectangular box for science experimentation, The tents is 3 yards wide, 5 yards long 2 yard

s high, what is the volume of the tent in cubic meters (m^3)?

1 answer:

Arturiano [62]2 years ago

7 0

Answer:

30 meters^3

Step-by-step explanation:

volume is l x w x h

so the formula would be 5x3x2

which is 15x2

therefore the answer is 30

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Blake is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Blake will earn $

Mrac [35]

Answer:

It was played in 3 movies and in 10 commercials.

Step-by-step explanation:

110 times 3 = 330

530 minus 330 = 200

200 divided by 20 = 10

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2 years ago

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OLEGan [10]

Answer:

e= -2

Step-by-step explanation:

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2) move the variable to one side so you get 6+2e=2

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3 years ago

Find the area. HELP PLEASE!!!!!!

kaheart [24]

Answer:

616

Step-by-step explanation:

The equation to find the area of a trapezoid is: A = ½ (b $^1$ +b²) h.

b1=43

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h=14

Plug the variables in and solve.

$A=\frac{1}{2} (43+45)14$

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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 : <u>Conver</u><u>t</u><u> </u><u>the </u><u>equations</u><u> in</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u><u>of</u><u> the</u><u> line</u><u> </u><u>.</u>

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

and ,

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

Step 2: <u>Find </u><u>the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> </u><u>lines </u><u>:</u><u>-</u>

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: <u>Multiply</u><u> </u><u>the </u><u>slopes </u><u>:</u><u>-</u><u> </u>

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

Multiply ,

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

Multiply both sides by a ,

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

Divide both sides by -1 ,

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

<u>Hence </u><u>the</u><u> </u><u>value</u><u> of</u><u> a</u><u> </u><u>is </u><u>9</u><u> </u><u>.</u>

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2 years ago