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2 years ago

8

A) Estimate 0.42 x 0.064 by rounding both numbers to one significant figure.

1 answer:

-BARSIC- [3]2 years ago

5 0

Answer:

A) 0.030

B) 0.026

Step-by-step explanation:

I hope this HELP! :)

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Which is true regarding the graphed function f(x)?

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Answer:

Step-by-step explanation:

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Which numbers are 4 units from -2 on the number line

Artemon [7]

Let the number be x

Then the absolute value of the number from -2 should be 4

$|x--2|=4$

$|x+2|=4$

So either

$(x+2)=4$

$x=4-2=2$

Or

$-(x+2)=4$

$x+2=-4$

$x=-4-2$

$x=-6$

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They are four units away from -2 on the number line

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Compare the rates to find which is the better value.<br> $60 for 100 flyers or $95 for 250 flyers

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95 is the better deal it’s only 35 more bucks and you get 150 more.

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A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

Volume of cylinder = $\pi r^2h$

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2 years ago

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Which of the following represents 3x-5y+10=0 written in slope-intercept form?

taurus [48]

For this case we have that by definition, the equation of a line in the slope-intercept form is given by:

$y = mx + b$

Where:

m: Is the slope

b: Is the cut-off point with the y axis

We have the following equation:

$3x-5y + 10 = 0$

We manipulate algebraically:

We subtract 10 from both sides of the equation:

$3x-5y = -10$

We subtract 3x from both sides of the equation:

$-5y = -3x-10$

We multiply by -1 on both sides of the equation:

$5y = 3x + 10$

We divide between 5 on both sides of the equation:

$y = \frac {3} {5} x + \frac {10} {5}\\y = \frac {3} {5} x + 2$

Thus, the equation in the slope-intercept form is $y = \frac {3} {5} x + 2$

Answer:

$y = \frac {3} {5} x + 2$

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