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3 years ago

5

A shipping box in the shape of a rectangular prism has a volume of 18x^3+5x^2-2x. what are three expressions that can represent

possible dimensions of the shipping box?

1 answer:

Scrat [10]3 years ago

4 0

Volume of the prism is given by:
Volume=length×width×height
but
V=<span>18x^3+5x^2-2x
V=x(18x^2+5x-2)
V=x(9x-2)(2x+1)
Hence the possible expression for the dimensions of the shipping box is x by (9x-2) by (2x+1)</span>

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Calculate the length of side AC:

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Answer:

146⁰ + x = 180

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2 years ago

Roshanna Lincoln's landscaping company ships its packages through Fleet Quick Delivery. Fleet charges $4 plus $0.60 per pound

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Answer:

The package weighs 21.6 pounds

Step-by-step explanation:

$4 dollars + T(0.60 tax per pound) divided by 15.40( the full cost of the shipment)

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25.6 - 4 = 21.6

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2 years ago

Find the annual percentage rate of change for the population of Oregon. In 2000, there were 4.8

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The annual percentage rate of change for the population of Oregon is of 8.125%.

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Total percentage change:

Change multiplied by 100 and divided by the initial value.

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2 years ago

Special right triangles.

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QUESTION 9

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Using the Pythagoras theorem, we have

$x^2+x^2=2^2$

This implies that;

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QUESTION 10

The given right angle triangle has its two legs equal to $x\:units$ and the hypotenuse is $7\:units$ .

Using the Pythagoras theorem, we have

$x^2+x^2=7^2$

This implies that;

$2x^2=7^2$

$2x^2=49$

$x^2=24.5$

$x=\sqrt{24.5}$

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QUESTION 11

Sam divided the square backyard into two sections along the 40ft diagonal.

Let one of the sides of the garden be $x\:units$ , then the other side of the garden is also $x\:units$ since it was a square backyard.

The diagonal is the hypotenuse which is 40ft and the two legs are $x\:units$ each.

Applying the Pythagoras Theorem, we have;

$x^2+x^2=40^2$

$2x^2=1600$

$x^2=800$

$\Rightarrow x=\sqrt{800}$

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The length of one side of the garden is approximately 28cm.

QUESTION 12

The hypotenuse of Nicole's right triangular support is 92cm long.

It was given that the two lengths of the triangular support are of equal length.

Let the two lengths of the triangular support be $l\:cm$ each.

We then apply the Pythagoras theorem to obtain;

$l^2+l^2=92^2$

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Therefore Nicole needs $l+l=65.05cm+65.05cm\approx130cm$ of wood to complete the support.

The correct answer is A.

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A 45-45-90 triangle is an isosceles right triangle.

Let the length of the two legs be $m\:inches$ each.

It was given that the hypotenuse of this triangle is $12\:inches$ .

Applying the Pythagoras Theorem, we have;

$m^2+m^2=12^2$

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QUESTIONS 14.

It was given that the distance from home plate to first base is 90 feet.

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Let this distance be $d\:ft$ , then using the Pythagoras theorem;

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QUESTION 15.

The distance from third base to first base is also 127 ft to the nearest foot.

The reason is that the diagonals of a square are equal in length.

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2 years ago

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Answer:

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Step-by-step explanation:

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1 year ago