MATHEMATICS HIGH SCHOOL

How many radians are in 300 degrees?

Answers

Answer 1
Answer:

There are 5π/3 radians in 300 degrees.

To convert degrees to radians, we can use the formula:

Radians = Degrees x (π / 180)

Given that we want to convert 300 degrees to radians, we can plug this value into the formula:

Radians = 300 x (π / 180)

Simplifying this expression, we get:

Radians = 5π/3

Therefore, there are 5π/3 radians in 300 degrees.

Learn more about radians here;

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Answer 2
Answer: There are 2\pi radians in 360 degrees, so there are 5\pi/3 radians in 300 degrees.

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Please answer the question from the attachment.

Which statement implies that A and B are independent events?A. P(B|A) = P(B A)

B. P(B|A) = P(B)
P(A)
C. P(B|A) = P(A)

D. P(B|A) = P(B)

Answers

The events A,B are independent if and only if P(A\cap B)=P(A)\cdot P(B). Under this condition, we have conditional probabilities

P(A\mid B)=(P(A\cap B))/(P(B))=(P(A)\cdot P(B))/(P(B))=P(A)

P(B\mid A)=P(B)

so the answer is D.

Answer:

The answer is D.

Step-by-step explanation:

What is the grade average of 75 70 90 60 50 90 70

Answers

the average can be found by adding them all up and dividing that number by the number of items. If the result have you a number that's more than the largest or less than the lowest, you did it wrong.

(75+70+90+60+50+90+70)/7
= 505/7
=72.14

1/2 = m - 1/8

m=_____

Answers

1/2=4/8. Adding 4/8 and 1/8 you get 5/8. m=5/8

What is x+y=3 2x+4y=8

Answers

x + y = 3
2x + 4y = 8

This is a system of equations. You can solve it using elimination. Start by multiplying the top equation by -2.
(x * -2) + (y * -2) = (3 * -2)
-2x - 2y = -6

Now add that and the bottom equation. This will cancel out x.

     -2x - 2y = -6
+    2x + 4y = 8
-----------------------
             2y = 2

Solve for y.
2y = 2
y = 2/2
y = 1

Now plug 1 in for y in the first equation.

x + y = 3
x + 1 = 3

Solve for x.

x + 1 = 3
x = 3 - 1
x = 2

So x = 2 and y = 1.

Which choice is equivalent to the expression below?√12-√27+√75

A.21√3
B.9√3
C.5√3
D.4√3

Answers

√(12) - √(27) + √(75) = √(4*3) - √(9*3) + √(25*3) = \n\n=2√( 3) -3√( 3) + 5√( 3) = 4 \sqrt3}

Answer : \ \ D. \ \ 4 √(3)
√(12)-√(27)+√(75)=√(4\cdot3)-√(9\cdot3)+√(25\cdot3)\n\n=\sqrt4\cdot\sqrt3-\sqrt9\cdot\sqrt3+√(25)\cdot\sqrt3=2\sqrt3-3\sqrt3+5\sqrt3=4\sqrt3\n\nAnswer:D.

Fill two of the pools with water, Each pool will be filled to a depth of 5 feet. The other necessary dimensions are given below. How much water is necessary for each of the elements below? The isosceles triangle pool: height 20ft and base 35ft
The equilateral triangle pool: height 52ft and base 60ft

Answers

Find the volume of each pool. The formula for triangular prisms is length*width*height*1/2. Or, since your numbers give the base, you can just multiply the height and the base, then multiply by 5, then divide by 2 to get the answer.
So, 20*35*5/2 = 1,750 ft³ is the equation for the isosceles triangle, and the equilateral triangle pool is 52*60*5/2 = 7,800 ft³.
The volume = how much water you need for each pool.
Hope that answered your question.
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