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Stells [14]
3 years ago
13

(Sphere has a volume of 40 cubic meters and is reduced by a scale factor

Mathematics
1 answer:
djyliett [7]3 years ago
5 0

Answer: 10\ m^3

Step-by-step explanation:

Given

The volume of Sphere is 40\ m^3

It is reduced by a scale factor of one-fourth i.e. Volume is reduced to one-fourth of the original volume

The new volume is given by

\Rightarrow V_{new}=\dfrac{V}{4}=\dfrac{40}{4}\\\\\Rightarrow V_{new}=10\ m^3

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A square is inscribed in the circle. A point in the figure is selected at random. Find the probability that the point will be in
Snezhnost [94]
Ok 
Probability (the point will be on unshaded part)  = area of unshaded part / area of the circle.

=   pi r^2 - s^2
     --------------            where r = radius of circle and s = length of the side of the square.
        pi r^2
4 0
3 years ago
Plz help meeeee plz
Sauron [17]

Answer:

Less than

Step-by-step explanation:

Its less than because the angle of LS is 98 while MS is 95, so LS is longer

3 0
2 years ago
Amy had homework for math,science,and history.she spent 1/3 of her time working on math and 1/4 of her time working on science.
Alja [10]
First we need to multiply to make the fractions have equal denominators so we can add/subtract.

math: 1/3 x 4/4=4/12
science: 1/4 x 3/3=3/12

Now we can find the time she spent on history (I assume this is what you are looking for)

Total time-math time<span>-science time=history time</span>
12/12-4/12-3/12
=5/12

Amy spent 5/12 of her time working on history.

8 0
2 years ago
Read 2 more answers
Triangles abc, dbe, and fbg are all symmetric about the y-axis. what are the coordinates of the centroid?
Drupady [299]

Answer:

The coordinates of the centroid are (0, 5)

Step-by-step explanation:

The coordinates of the centroid of a triangle whose vertices (x1, y1), (x2, y2), and (x3, y3) are (\frac{x1+x2+x3}{3} , \frac{y1+y2+y3}{3})

In Δ ABC

∵ A = (-20, 0), B = (0, 15), C = (20, 0)

∴ x1 = -20, x2 = 0, x3 = 20

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\frac{-20+0+20}{3} , \frac{0+15+0}{3}) = (\frac{0}{3} , \frac{15}{3}) = (0, 5)

∴ The coordinates of the centroid of Δ ABC are (0, 5)

In Δ DBE

∵ D = (-15, 0), B = (0, 15), E = (15, 0)

∴ x1 = -15, x2 = 0, x3 = 15

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\frac{-15+0+15}{3} , \frac{0+15+0}{3}) = (\frac{0}{3} , \frac{15}{3}) = (0, 5)

∴ The coordinates of the centroid of Δ DBE are (0, 5)

In Δ FBG

∵ F = (-5, 0), B = (0, 15), G = (5, 0)

∴ x1 = -5, x2 = 0, x3 = 5

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\frac{-5+0+5}{3} , \frac{0+15+0}{3}) = (\frac{0}{3} , \frac{15}{3}) = (0, 5)

∴ The coordinates of the centroid of Δ FBG are (0, 5)

∵ The three triangles are symmetric about the y-axis

→ That means they have the same centroid and it lies on the y-axis

∴ The coordinates of the centroid are (0, 5)

8 0
2 years ago
Harper completed making 6% of the masks she needed for school. Type a decimal value that is equivalent to 6%.
Maksim231197 [3]

Answer:

0.06

Step-by-step explanation:

60/100ths is equal to 6%

6 0
3 years ago
Read 2 more answers
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