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3 years ago

(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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3 years ago

Find the area of the trapezoid. points are (-5,-3)(4,-3)(6,-7)(-7,-7)

Olegator [25]

Answer:

44 square units

Step-by-step explanation:

The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

$A=\left(\dfrac{b_1+b_2}{2}\right)h$

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

$b_1=|-5-4|=|-9|=9\\b_2=|6-(-7)|=|6+7|=13$

Putting it altogether:

$A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44$

So the area of our trapezoid is 44.

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3 years ago

A bike shop has 11 1111 red bikes, 3 33 blue bikes, 4 44 orange bikes, and 12 1212 silver bikes. For every 1 11 orange bike, the

zubka84 [21]

Answer:

C. Silver bikes

Step-by-step explanation:

Given that:

Number of red bikes at the bike shop = 11

Number of blue bikes at the bike shop = 3

Number of orange bikes at the bike shop = 4

Number of silver bikes at the bike shop = 12

Let us find the ratio of each bike with orange bikes to find the answer.

Orange bikes: Red bikes = 4 : 11

i.e. for every 4 orange bikes, there are 11 red bikes.

Orange bikes: Blue bikes = 4 : 3

i.e. for every 4 orange bikes, there are 3 blue bikes.

Orange bikes: Silver bikes = 4 : 12 = 1 : 3

i.e. for every 1 orange bike, there are 3 silver bikes.

Therefore, the answer is:

C Silver bikes

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Examples:
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