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2 years ago

The length of a rectangle is 3x^4 and the width is 5x^5. What is the area of the rectangle? *

Mathematics

2 answers:

RSB [31]2 years ago

5 0

Answer:

Area of rectangle = 15x⁹

kogti [31]2 years ago

4 0

$\boxed{\underline{\blue{\textrm{Area of Rectangle = l × b}}}}$

Length of rectangle = 3x⁴
width of Rectangle = 5x⁵

Area = 3x⁴ × 5x⁵

Area of rectangle = 15x⁹

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Mia enlarged a plan for an outdoor stage. The original plan is shown below. She dilated the outdoor stage by a scale factor of 4

garik1379 [7]

Since you didn't give the original picture, I can only explain the process. Then, you need to select the correct point.

In a dilation, we multiply the coordinates by the scale factor. Take the points that you have and multiply them all by 4. Then, look for a point making your new coordinates.

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2 years ago

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Andrew has a fish tank in the shape of a rectangular prism, and he needs to know the volume of water necessary to fill the tank.

Alex

Answer:

The correct option is D.

Step-by-step explanation:

Domain is the set of all posible

The volume of a rectangular prism is

$V=\text{Base area}\times height$

where,

$\text{Base area}=length\times width$

Dimensions can not be negative. So, the width and volume are always positive.

From the graph it is noticed that

In interval $(-\infty, -5)$ , width and volume is negative, so $(-\infty, -5)$ interval is not the domain.

In interval (-5,0), width is negative, so (-5,0) interval is not the domain.

In interval (0,3), volume is negative, so (0,3) interval is not the domain.

In interval $(3,\infty)$ , width and volume is negative, so $(3,\infty)$ interval is not the domain.

Therefore the correct option is D.

3 0

2 years ago

Read 2 more answers

The volume of a large can of tuna fish can be calculated using the formula V= πr(r)h. Write an equation to find the radius, r, i

noname [10]

The equation $r=\sqrt\frac{V}{3.14h}$ can be used to find the radius.

Step-by-step explanation:

Given,

Volume of large can;

V=πr(r)h

V=πr²h

Dividing both sides by πh

$\frac{V}{\pi h}=\frac{r^2\pi h}{\pi h}\\\\\frac{V}{\pi h}=r^2\\\\r^2=\frac{V}{\pi h}$

Taking square root on both sides

$\sqrt{r^2}=\sqrt{\frac{V}{\pi h}}\\r=\sqrt\frac{V}{\pi h}$

Putting π=3.14

$r=\sqrt\frac{V}{3.14h}$

The equation $r=\sqrt\frac{V}{3.14h}$ can be used to find the radius.

Keywords: volume, square root

Learn more about square root at:

#LearnwithBrainly

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2 years ago

Determine the density in g/cm3 of a mineral that has a volume of 3.8 cm3 and a mass of 22.4 g.

kherson [118]

Answer:

5.89 g/cm³

Step-by-step explanation:

givens,

Mass = 22.4 g

volume = 3.8 cm³

Density = mass / volume

= 22.4 / 3.8

= 5.89 g/cm³

4 0

2 years ago

To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. The

kupik [55]

Answer:

The height of the building is 153.664 meter.

Step-by-step explanation:

Consider the provided function.

$s(t) = 4.9t^2 + v_0 t + s_0$

Here t represents the time v₀ represents the initial velocity, s₀ represents the initial height and s(t) represents the height after t seconds.

It is given that the splash is seen 5.6 seconds after the stone is dropped.

That means after 5.6 seconds height s(t) = 0, Also the initial velocity of the stone is 0.

Substitute respective values in the above function.

$0 = 4.9(5.6)^2 +5.6(0)+ s_0$

$0 = 4.9(31.36)+ s_0$

$s_0=-153.664$

As height can't be a negative number so the value of s₀ is 153.664.

Hence, the height of the building is 153.664 meter.

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2 years ago