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2 years ago

Find the volume of the figure.

Mathematics

1 answer:

Andre45 [30]2 years ago

8 0

Answer:

Step-by-step explanation:

1. Base x Height x Length

1 x 4 x 3= 12

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Which of the following is not a solution for the inequality 3x +2 < 12?

Advocard [28]

$3x+2 < 12\ \ \ \ |-2\\\\3x < 10\ \ \ \ |:3\\\\x < \dfrac{10}{3}\\\\x < 3\dfrac{1}{3}\\\\x=2 < 3\dfrac{1}{3}\\\\x=2.5 < 3\dfrac{1}{3}\\\\x=3 < 3\dfrac{1}{3}\\\\x=3.5-Answer$

8 0

3 years ago

How do you solve this?

puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let $x$ represent the width.

Since the length is 7 feet longer, we can represent the length by $x+7$ .

Now that we have our values for the length and the width we can multiply them together to find our area.

$(x)(x+7)=x^{2} +7x$

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

$(x+7)(x+14)$

And multiply our area by 3.

$3(x^{2} +7x)$

set these equal to each other to find your new equation.

$(x+7)(x+14)=3(x^{2} +7x)$

Now you need to solve for $x$ . To do this first muliply $(x+7)$ and $(x+14)$ .

$(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98$

Then multiply $3(x^{2} +7x)$

$3(x^{2} +7x)=\\3x^{2} +21x$

Now you can begin solving for $x$ .

$x^{2} +21x+98=3x^{2} +21x$

Subtract $x^{2}$ from both sides.

$21x+98=2x^{2} +21x$

Subtract $21x$ from both sides.

$98=2x^{2}$

Divide by 2.

$49=x^{2}$

And finally take the sqaure root of both sides.

$\sqrt{x^{2} }=\sqrt{49}\\x=7$

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 and -7, in this case we only get +7.

Now that we have the value of $x$ , we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

7 0

3 years ago

Which word best replaces shakes in rapid motion to be more precise

Zielflug [23.3K]

Answer:

flutter, flap, beat, agitate, vibrate; tremble could be one of these

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Factor the following polynomial: 2x^2+8x

timama [110]

Look at the attached picture⤴

Hope it will help u..

6 0

3 years ago

Determine whether −2 is a zero (root) of the function:

lianna [129]

Answer:

The answer to your question is No

Step-by-step explanation:

Data

function f(x) = 2x³ + x² - 10x - 12

To know if a number is a root of a function, evaluate the function on that number, if the result is zero, then that number is a root.

Substitution

f(-2) = 2(-2)³ + (-2)² - 10(-2) - 12

Simplification

f(-2) = 2(-8) + 4 + 20 - 12

f(-2) = -16 + 4 + 20 - 12

f(-2) = -28 + 24

f(-2) = -4

-2 is not a root that the function.

5 0

3 years ago

Read 2 more answers