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3 years ago

The total surface area of a cube is 96cm2, find its volume.

Mathematics

1 answer:

Setler [38]3 years ago

6 0

Answer:

$\huge\boxed{V=64cm^3}$

Step-by-step explanation:

The formula of a surface area of a cube:

$SA=6a^2$

The formula of a volume of a cube:

$V=a^3$

We have

$SA=96cm^2$

Calculate the edge length (a).

$6a^2=96$ divide both sides by 6

$a^2=16\to a=\sqrt{16}\\\\a=4(cm)$

Calculate the volume of a cube:

$V=4^3=64(cm^3)$

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A farmer plants apple trees on a on a 235-acre farm. There are 47,000 apple trees evenly dispersed throughout the farm. How many

Musya8 [376]

Answer:

There are 200 trees per acre.

Step-by-step explanation:

47000 trees divided by 235 acres gets you 200 trees per acre.

When you go back and check your work, 200 trees per acre times 235 acres equals 47000 trees.

I hope this helps! :)

8 0

3 years ago

7n−4=31, n, minus, 4, equals, 31 n =n=n, equals

ziro4ka [17]

Answer:

Step-by-step explanation:

7 times 5 equals 35 minus 4 equals 31

6 0

3 years ago

Type the correct answer in the box. Use numerals instead of words.

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation $y = mx + b$ .

If a line has the slope of -0.5, then m=-0.5 and the equation of the line is

$y=-0.5x+b$

This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:

$1=-0.5\cdot 10+b\\ \\1=-5+b\\ \\b=1+5\\ \\b=6$

and the equation of the line is

$y=-0.5x+6$

Since b=6, the y-intercept of the line is 6.

7 0

3 years ago

Read 2 more answers

Find are of shaded region?

castortr0y [4]

Ignoring the triangle first off, it is just a parallelogram. We can find the area with:
$A_{P}=b*h=23.8 * 15=357 square ft.$ (see first diagram).

Next, we need to find the area of the triangle. Its a right angle triangle, so the area can be found by:
$A_{T} = \frac{1}{2} wl$
where w and l are the lengths of the two smaller sides. We have one, and the longer side (hypotenuse) so we can use Pythagoras' Theorem to find the other small side (see second diagram).
$b= \sqrt{ a^{2} - c^{2} } =\sqrt{ 23.8^{2} - 21^{2} }=11.2ft.$
Then find the area:
$A_{T} =0.5*21*11.2=117.6 square ft.$

Take the area of the triangle away from the area of the paralellogram:
$357-117.6=239.4 ft^{2}$

7 0

3 years ago

Please help. What is the equation of the line in slope-intercept form?

kobusy [5.1K]

Answer:

Ray, you need the slope-intercept formula y=mx+b

Step-by-step explanation:

Next you'll need 2 points, any points are fine. Just find two easy ones along the line. I'll just pick Point 1 as P1 = ( 0,4) and point 2 as P2 = (4,0) because they are easy to work with.

next use

point P1 (0,4) in the form (x1,y1)

point P2(4,0) in the form (x2,y2)

slope = m

m = (y2-y1) / (x2-x1)

m = (0-4) / (4-0)

m = -4 / 4

m = -1

now use the point slope with one of the points, to find the slope-intercept form.

y - y1 = m(x -x1)

y - 4 = -1(x-0)

y -4 = -x

y = -x + 4

note:

y = mx +b

y = (-1)x + b is the form. see?

6 0

2 years ago

Read 2 more answers