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Diano4ka-milaya [45]
3 years ago
14

Which of the following has a positive value? sec (2pi/3) tan (2pi/3) cos (2pi/3) csc (2pi/3)

Mathematics
1 answer:
Darya [45]3 years ago
7 0

Answer:  D) csc (2π/3)

<u>Step-by-step explanation:</u>

2π/3 is in Quadrant II

Quadrant II has a negative x-value and a positive y-value.

x-values are: cos & sec

y-values are: sin & csc

tan = y/x so will be negative in Quadrant II

A) sec = -

B) tan = -

C) cos = -

D) csc = +     this works!

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Let m be the side length of the fourth smallest possible square with integer value of its area, and let n be the sum of all prim
Natali [406]

Answer:

510

Step-by-step explanation:

It's assumed 0 is not an integer.

M is obviously 2. The area of a square is the square of its side length. If this area must be an integer, then it must be the fourth integer, which is 4. The side length, M=\sqrt{4} = 2

A prime number is a positive integer which can be divided exactly by only itself and 1. In fact, it has only those two factors. The last statement excludes 1 as a prime number. Hence, the prime numbers less than 10 are 2, 3, 5 and 7. Their sum is N=2+3+5+7=17.

To evaluate MN(N-M),

2\times17(17-2)=34\times15=510

6 0
3 years ago
What is the average rate of change in f(x) over the interval [4,13]?
mestny [16]

we know that

Average Rate of Change. is the change in the y-value divided by the change in the x-value for two distinct points on the graph

So

A=\frac{(f(b)-f(a))}{(b-a)}

in this problem

a=4\\ b=13\\ f(a)=f(4)=8\\ f(b)=f(13)=11

substitute the values in the formula above

A=\frac{(11-8)}{(13-4)} \\ \\ A=\frac{3}{9}

Divide by 3 both numerator and denominator

A=\frac{1}{3}

therefore

the answer is

\frac{1}{3}

8 0
3 years ago
Read 2 more answers
In the expression 3(2^0), what is the order of operations? Explain how would you evaluated the expression.
Over [174]

We'll use PEMDAS which stands for

P = parenthesis

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

It tells us the order in how to evaluate math expressions. We start with parenthesis, then move to exponents, etc until we get to subtraction as the last step.

We have parenthesis so we focus on whats inside it. We evaluate 2^0 to get 1. Any nonzero number to the exponent 0 is always 1. In other words, x^0 = 1 where x is nonzero.

So 3(2^0) turns into 3(1) or 3*1

Then we multiply that to get 3*1 = 3

So overall, 3(2^0) = 3

4 0
3 years ago
There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
zavuch27 [327]

Answer:

40%

Step-by-step explanation:

Total amount is 15

6 out of the 15 amount are apples

Thus, 6/15 x 100 = 40%

Or

You could ask yourself, what number do I multiply by 15 to get to 100?

Then, multiply the top (numerator) by it.

The value of the numerator will give you the final % (percentage) due to percentage being out of 100.

Hope this helps!

8 0
2 years ago
Which three lengths could be the lengths of the sides of a triangle?
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C. 7 cm by 7 cm by 43 cm
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