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SIZIF [17.4K]
3 years ago
7

Find the measure of the angle shown by the arrow(in radians)

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
8 0

Answer:

-7π/3 or -420 degrees

Step-by-step explanation:

So we know that the arrow has made one full rotation and that it is moving in a clockwise direction. So already we have -2π degrees.

The arrow stops at π/6 before the next π/2 rotation. Therefore we find the difference between the two.

π/2 - π/6

3π/6 - π/6 = 2π/6

π/3

Since this is still clockwise, we make this negative. So the measure of the angle shown by the arrow is -2π - π/3

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1. Let U the set of students of the university of Cambridge. Let the subsets of U:
Marysya12 [62]

Answer:

A) A ∩ C means in both sets, in this case A and C, and in this question all students both over 20 years and with social stratum of 1, 2 and 3.

B) A ∪ B means in either set or both, both will do, in this case meaning all students in A or B or any in between, and in this question all students over 20 years and/or are women.

C) As is already explained above, B  ∪ C means in this question all students that are women and/or have social stratum of 1, 2, and 3.

D) This is the same as A). Refer to A).

E) A ∪ C is already explained above, and in this question means all students over 20 years and/or have social stratum of 1, 2, and 3.

F) Same as E). Refer to E).

G) Same as A). Refer to A).

H) A ∩ B ∩ C means in students in all three sets simultaneously, and in this question all students that are over 20 years, women, and with social stratum of 1, 2 and 3.

I) A - B, in set theory would mean all students in A but not in B, in other words the difference. In this question, it would mean all students over 20 years that are not women.

J) (A - B) ∩ C would mean, as already explained above, all students over 20 years that are not women and with social stratum of 1, 2 and 3. Usually, it's easier to treat all unions or intersections or whatnot inside brackets as one whole thing, kind of like how you do algebra.

K) B 4 C is nonsensical, there is nothing in set theory like this.

L) Same as K).

The given description between C) and D) would be that they are the same, and comparing F) and G), it seems that the question is trying to make the point that they are almost the same but defined differently.

Step-by-step explanation:

Hope this helped!

6 0
2 years ago
En la figura, la suma de las medidas p + q + r + s =/In the figure, the sum of the measures p + q + r + s =
sertanlavr [38]

Answer:

I think its 300

Step-by-step explanation

This is from my understanding, so I may be a bit wrong.

1. First observe the amount of triangles that form, you have two main triangles and one isosceles triangle that forms in the middle by how these are joined together.

2. Using this idea we will come up  with the equations of  each triangle that has been formed.

3. We can observe that almost all angles are named with a variable except the one in the middle, being an isosceles we will name the missing variable y.

4. Triangle 1(left side) or T1 equals 180 degrees but what angles form this triangle, these would be p+q+y = 180, T2(right side) = r+s+y = 180

5. After creating these two triangles we notice that we have not taken into account the triangle in the middle, we are given 1 angle of this isosceles. There is a mathematical property which I don't remember the name, but essentially the angle below is the same as the angle above, this being 120 degrees. This will result in T3 = 2y + 120 = 180

6. Solve for y, which gives us y=30, *<em>simple triangle math you know*</em>

7. Finally we fix our equations for p+q+r+s, essentially T1 and T2 will transform into p+q = 180-y and r+s = 180-y, we add them up forming p+q+r+s = 2(180-y)

8. Solve the equation p+q+r+s = 360 - 2y which when adding y becomes p+q+r+s = 360-60 = 300

Notes: when doing these exercises it is important to take into account every triangle, the isosceles triangle is very vital for solving it, as it gives us a way for making an equation that is single handedly dependent on y a constant we can find and use. A good approach for these issues would be writing every piece of information as separate sets and then trying to join them using algebra.

3 0
3 years ago
I'm really bad at age chart problems.<br> Can someone help me with this and provide an explanation?
Fed [463]

Answer: 10

Step-by-step explanation:

tony is 5 years younger than Marvin's age 1 year from now.

t = (m+1) - 5

t = m - 4

6 years ago tony was half as old as marvin was then.

t - 6 = 1/2(m - 6)

Get rid of the fraction, multiply both sides by 2

2(t-6) = m - 6

2t - 12 = m - 6

2t = m - 6 + 12

2t = m + 6

from the first statement, replace t with (m-4)

2(m-4) = m + 6

2m - 8 = m + 6

2m - m = 6 + 8

m = 14 is Marvin's present age

:

how old is tony now?

t = 14 - 4

t = 10 yrs is tony's age

4 0
3 years ago
What is the value of the exponential function f (x)=2 times (1/3)^x when x= -2
frutty [35]

Answer:

18

Step-by-step explanation:

f(x) = 2(1/3)^x

[x = -2]

f(-2) = 2(1/3)⁻²

= 2(9)

= 18

5 0
2 years ago
What is the ratio Between 113 and165
Harlamova29_29 [7]
A ratio between is like 52
5 0
3 years ago
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