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xeze [42]
3 years ago
8

In DEF, C is the centroid if DM=45 , find DC and CM DC= ? Units

Mathematics
1 answer:
IgorC [24]3 years ago
7 0

Answer:

DC=30

CM=15

Step-by-step explanation:

Given

Triangle DEF with C centroid

DM=45 (length of median)

centroid divides median in the ratio 2:1(larger side at vertex)

⇒

DC=\frac{2}{3} \times DM=\frac{2}{3} \times 45= 2\times 15=30

⇒DC=30

DC+ CM=DM

30+CM=45

⇒CM=15

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Xerxes is selling cups of lemonade. He is selling regular and pink lemonade in 3 sizes: small, medium, and large. The table disp
raketka [301]

Part 1

Add up the values in the table: 90+36+54+45+63+72 = 360

This means 360 total drinks were sold. Of that total, 54 were medium regular.

The percentage of medium regular is 54/360 = 0.15 = 15%

Apply this percentage to the 640 customers he plans to sell to

15% of 640 = 0.15*640 = 96

<h3>Answer: 96</h3>

============================================

Part 2

It sounds like your teacher wants you to find the probability of picking pink lemonade. The table says that 36 small, 45 medium, and 72 large pink lemonades were sold. That means 36+45+72 = 153 pink lemonades were sold out of the 360 total

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Then go through each answer choice to note that 17/40 = 0.425 as well

Therefore, 153/360 = 17/40

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2 years ago
PLEASE SHOW WORK
CaHeK987 [17]

(C)

Step-by-step explanation:

The volume of the conical pile is given by

V = \dfrac{\pi}{3}r^2h

Taking the derivative of V with respect to time, we get

\dfrac{dV}{dt} = \dfrac{\pi}{3}\dfrac{d}{dt}(r^2h)

\:\:\:\:\:\:\:= \dfrac{\pi}{3}\left(2rh\dfrac{dr}{dt} + r^2\dfrac{dh}{dt}\right)

Since r is always equal to h, we can set

\dfrac{dr}{dt} = \dfrac{dh}{dt}

so that our expression for dV/dt becomes

\dfrac{dV}{dt} = \dfrac{\pi}{3}\left(3r^2\dfrac{dh}{dt}\right)

\:\:\:\:\:\:\:= \pi r^2\dfrac{dh}{dt}

Solving for dh/dt, we get

\dfrac{dh}{dt} = \dfrac{1}{\pi r^2}\dfrac{dV}{dt}

\:\:\:\:\:\:\:= \dfrac{1}{9\pi\:\text{m}^2}(36\:\text{m}^3\text{/s})

\:\:\:\:\:\:\:= \dfrac{4}{\pi}\:\text{m/s}

7 0
3 years ago
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geniusboy [140]

Question author, it's spelled pi not pie, and we use just use the Greek letter π.  Students, demand better from your teachers.

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Answer: 315 cubic feet, first choice

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Answer:

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Step-by-step explanation:

bye bye

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