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3 years ago

Marc baked brownies in the brownie pan shown below. Each day, he is going to eat 20 square centimeters of brownie from the pan.

Mathematics

1 answer:

podryga [215]3 years ago

8 0

Answer:

$35\ days$

Step-by-step explanation:

step 1

Find the area of the trapezoid (brownie pan)

$A=\frac{1}{2}(29+41)20=700\ cm^{2}$

step 2

To find the number of days , divide the area of the brownie pan by 20 square centimeters of brownie

$\frac{700}{20}=35\ days$

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Let $m_2$ be the slope of the perpendicular line.

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<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>

$\Rightarrow m_1 \cdot m_2=-1$

$\Rightarrow 0.25\cdot m_2=-1$

$\Rightarrow m_2=\frac{-1}{0.25}$

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Add 8 on both sides of the equation.

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Step-by-step explanation:

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Question Help

klasskru [66]

Answer:

16 times

Step-by-step explanation:

$\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

If only the radius is changed, the change in volume will be proportionate to the multiplicative factor squared.

$\sf \implies Volume =\dfrac{1}{3} \pi (ar)^2h=\dfrac{1}{3} \pi (a^2)r^2h$

Therefore, if the cone is quadrupled (multiplied by 4), the volume of the larger cone will be 4² times greater than the volume of the smaller cone, so <u>16 times greater </u>than the smaller cone.

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Substituting the new given values into the formula:

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To find the number of times greater the volume of the large cone is than the volume of the smaller cone, divide their volumes:

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