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3 years ago

HELP ME PLEASE ASAP IT IS A CLOCK PROBLEM What is the angle between the hands at 4:41?

Mathematics

1 answer:

qaws [65]3 years ago

7 0

Answer:127.5∘

Step-by-step explanation:

The angle measure between any two consecutive numbers on a clock is 36012=30∘.

Call the "12" point on the clock the zero-degree point.

At 4:45, the minute hand is at the "9" - that is, at the 30×9=270∘ mark. The hour hand is three-fourths of the way from the "4" to the "5; that is,

30×434=142.5∘ mark.

Therefore, the angle between the hands is

270−142.5=127.5∘, the desired measure.

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Serggg [28]

We are given coordiates of vertices of triangle ΔHJK as H(8,8), J(8,4), K(4,4)

and coordinates of transformed triangle ΔH’J’K are H'(2,2), J'(2,1), k'(1,1).

We can clealry see that if we divide each value in coordinate by 4, we get the coordinates of the transformed triangle.

Let's see, what's dilation being applied there : H(8,8) ---> 1/4 (8,8) = H' (2,2) ,

J(8,4) ---> 1/4(8,4) = J'(2,1) and

K(4,1) ---> 1/4 (4,4) = K'(1,1).

So, we can clearly see that each coordinate is being multiplied by 1/4.

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3 years ago

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Use the function rule to complete the table<br> -10x + y = 4

alexgriva [62]

Plug in the given numbers (x) to the equation. For example, let's take the first value it gives us. -10(-2) +y=4 20+y=4 y=-16 Then you would put that on the table, and plug in the next value(s). Hope this helped!

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3 years ago

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How many different 10 person committees can be selected from a pool of 23 people?

Salsk061 [2.6K]

We're going to be using combination since this question is asking how many different combinations of 10 people can be selected from a set of 23.

We would only use permutation if the order of the people in the committee mattered, which it seems it doesn't.

Formula for combination:

$C(n,r)=\dfrac{n!}{(n-r)!r!}$

Where $n$ represents the number of objects/people in the set and $r$ represents the number of objects/people being chosen from the set

There are 23 people in the set and 10 people being chosen from the set

$C(23,10)=\dfrac{23!}{(23-10)!10!}$

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Usually I would prefer solving such fractions by hand instead of a calculator, but factorials can result in large numbers and there is too much multiplication. Using a calculator, we get

$=1,144,066$

Thus, there are 1,144,066 different 10 person committees that can be selected from a pool of 23 people. Let me know if you need any clarifications, thanks!

~ Padoru

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3 years ago

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(02.02 MC) Use the graph to fill in the blank with the correct number.

saveliy_v [14]

Answer:

The answer is "2"

Step-by-step explanation:

When we check the points where the x is -2

by calculating the "y-value":

It is 2, right?