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3 years ago

Nestor will rotate triangle ABC 180° about one of the labeled points.

Mathematics

1 answer:

maksim [4K]3 years ago

3 0

Base on the question where as asking what point would be the center or the rotation if the triangle is rotated 180 degree and the pre image should touch the original image more that ones, base on that, the possible answers would be point D, E and F, if they are in the center of the triangle

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Kim also has a sink that is shaped like a half-sphere. The sink has a volume of 4000/3 π in3. One day, her sink clogged. She has

mestny [16]

Answer:

A. 44 times

B. 16 times.

Step-by-step explanation:

We know the volume of the sink, now we need to find the volume of the cup(s) she's using to empty it out. to find out how many scoops she'll have to do.

We'll assume she can actually empty it all, even if it's unlikely he can scoop the last 5%-10% of it due to the shapes/sizes of the sink and the cup. We'll also assume she completely fills the cup (which is impossible due to angles).

The volume of the sink is 4000/3 π cubic inches

a - Conical cup, diameter 6 inches (radius = 3), height: 10 inches.

We remember the volume of a cone is found using this formula:

V = (π r² h) / 3

So, we have:

V = (π * 3² * 10) / 3 = 90 π / 3

So, how many times does Kim has to scoop (S):

$S = \frac{4000 \pi /3 }{90 \pi /3 } = 44.44$

Of course, she can't scoop 0.44 times... Normally we would round it up, <u>but the question says to round it to the nearest whole number.</u>

So, Kim will have to scoop 44 times with this first cup.

b - Conical cup, diameter 10 inches (radius = 5), height: 10 inches.

We remember the volume of a cone is found using this formula:

V = (π r² h) / 3

So, we have:

V = (π * 5² * 10) / 3 = 250 π / 3

So, how many times does Kim has to scoop (S):

$S = \frac{4000 \pi /3 }{250 \pi /3 } = 16$

So, Kim will have to scoop 16 times with this second cup.

4 0

3 years ago

The truth table represents statements p, q, and r. p q r p ∧ q p ∧ r A T T T T T B T T F T F C T F T F T D T F F F F E F T T F F

maksim [4K]

The table shows the results of (p ^ q) and results of (p ^ r) for all possible outcomes. We have to tell which of the outcomes of union of both these events will always be true.

(p ^ q) V (p ^ r) means Union of (p ^ q) and (p ^ r). The property of Union of two sets/events is that it will be true if either one of the event or both the events are true i.e. there must be atleast one True(T) to make the Union of two sets to be True.

So, (p ^ q) V (p ^ r) will be TRUE, if either one of (p ^ q) and (p ^ r) or both are true. From the given table we can see that only the outcomes A, B and C will result is TRUE. The rest of the outcomes will all result in FALSE.

Therefore, the answer to this question is option 2nd

5 0

3 years ago

What is the value of x in the equation 2(6х+4)- 6+ 2х = 3(4х+3) + 12<br> оооо

marissa [1.9K]

Answer:X= 19/2

Step-by-step explanation:

5 0

3 years ago

Match with the appropiate property:

Nonamiya [84]

Answer: