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3 years ago

10

30 POINTS !!!!!! NEED HELP ASAP !!!!!

1 answer:

Vladimir [108]3 years ago

8 0

Answer:geometric because it’s multiplication

Step-by-step explanation:

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Factor x^2 + 4xy - 12y^2

Vsevolod [243]

<span> $\star$ </span> $x^2 + 4xy - 12y^2$

$\star$ $Factor \ with \ quadratic \ formula$

$\star$ $a=1, \ b=4y \ and \ c=-12y^2.$

$\star$ $(x-2y)(x+6y)$

6 0

3 years ago

A truck is carrying 3 tons of cement and 150 pounds of bricks. How many pounds does the truck's load weigh in total

vodomira [7]

Answer: $6,150 \text{ pounds}$

Step-by-step explanation:

Given: The weight of cement = 3 tons

The weight of bricks = 150 pounds

We know that $\text{1 ton = 2,000 pounds}$

Therefore, $\text{3 tons}=3\times2,000=6,000$

Now, the total weight of load in truck = $150+6,000=6,150\text{ pounds}$

Hence, the truck's load weigh in total = 6,150 pounds.

5 0

4 years ago

What is the fraction one tenth is equivalent to what percent?

vodomira [7]

fraction: 1/10

decimal: 0.1

percent: 10%

hope this is what you needed!

8 0

3 years ago

3) Postcards: Marcie wants to make a box to hold her postcard collection from a piece of

klasskru [66]

The volume of the box is the amount of space in it.

The dimension of the postcard is:

$\mathbf{Length = 10}$

$\mathbf{Width = 18}$

Let x represents the length of the cut.

So, the dimension of the box is:

$\mathbf{Length = 10 -2x}$

$\mathbf{Width = 18 -2x}$

$\mathbf{Height = x}$

<u>(a) The function that represents the volume of the box</u>

This is calculated as:

$\mathbf{V(x) = Length \times Width \times Height}$

So, we have:

$\mathbf{V(x) = (10 - 2x) \times (18 - 2x) \times x}$

Expand

$\mathbf{V(x) = 180x - 56x^2 + 4x^3}$

Hence, the volume function is: $\mathbf{V(x) = 180x - 56x^2 + 4x^3}$

<u>(b) The dimension that maximizes the volume</u>

We have:

$\mathbf{V(x) = 180x - 56x^2 + 4x^3}$

Differentiate

$\mathbf{V'(x) = 180- 112x + 12x^2}$

Set to 0

$\mathbf{180- 112x + 12x^2 = 0}$

Using a calculator, we have:

$\mathbf{x = 7.3,2.1}$

The value x = 7.3 is greater than the dimension of the box.

So, we have:

$\mathbf{x = 2.1}$

Recall that:

$\mathbf{Length = 10 -2x}$

$\mathbf{Width = 18 -2x}$

$\mathbf{Height = x}$

So, we have:

$\mathbf{Length = 10 -2 \times 2.1 = 5.8}$

$\mathbf{Width = 18 -2 \times 2.1 = 13.8}$

$\mathbf{Height = 2.1}$

Hence, the dimension that maximizes the volume is 5.8 by 13.8 by 2.1

<u>(c) The maximum volume</u>

This is calculated as the product of the dimension of the box

So, we have:

$\mathbf{Volume = 5.8 \times 13.8 \times 2.1}$

$\mathbf{Volume = 168.1}$

Hence, the maximum volume of the box is 168.1 cubic inches

Read more about volumes at:

brainly.com/question/17056191

5 0

3 years ago

A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 10 feet from the base of the building.

Paul [167]

Answer:

10.4feet

Step-by-step explanation:

The set up wil form a right triangle

Length of the ramp is the hypotenuse

The length of the end of the ramp from the base= 10 feet (adjacent)

Angle of elevation = 15 degrees

Required

Length of the ramp

Using SOH CAH TOA

Cos theta = adj/hyp

cos 15 = 10/L

L = 10/cos15

L = 10/0.9659

L = 10.35

L ≈ 10.4 feet

Hence the length of the ramp is 10.4feet

3 0

3 years ago

Read 2 more answers