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slava [35]
3 years ago
7

What is the value of z in the question sin(4z) = cos(30 + 2z)?

Mathematics
1 answer:
stira [4]3 years ago
8 0

download "photomath" app to help you solve Maths questions.

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If a cone has a height 6 feet and volume 54ft, find the radius of the base
OLga [1]

Answer:

The radius is approximately 2 93

7 0
3 years ago
X^{2m+n} * x^{n-m} / x^{m+2n}
notka56 [123]

Answer:

=x

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help I’m really confused and need to learn this
egoroff_w [7]

Answer:

2.

Step-by-step explanation:

For #2, another way to word this question is: For which of the following trig functions is π/2 a solution? Well, go through them one by one. If you plug π/2 into sinθ, you get 1. This means that when x is π/2, y is 1. Try and visualize that. When y is 1, that means you moved off the x-axis; so y = sinθ is NOT one of those functions that cross the x-axis at θ = π/2. Go through the rest of them. For y = cos(π/2), you get 0. At θ = π/2, this function crosses the x-axis. For y = tanθ, your result is undefined, so that doesn't work. Keep going through them. You should see that y = secθ is undefined, y = cscθ returns 1, and y = cotθ returns 0. If you have a calculator that can handle trig functions, just plug π/2 into every one of them and check off the ones that give you zero. Graphically, if the y-value is 0, the function is touching/crossing the x-axis.

Think about what y = secθ really means. It's actually y = 1/(cosθ), right? So what makes a fraction undefined? A fraction is undefined when the denominator is 0 because in mathematics, you can't divide by zero. Calculators give you an error. So the real question here is, when is cosθ = 0? Again, you can use a calculator here, but a unit circle would be more helpful. cosθ = π/2, like we just saw in the previous problem, and it's zero again 180 degrees later at 3π/2. Now read the answer choices.

All multiples of pi? Well, our answer looked like π/2, so you can skip the first two choices and move to the last two. All multiples of π/2? Imagine there's a constant next to π, say Cπ/2 where C is any number. If we put an even number there, 2 will cut that number in half. Imagine C = 4. Then Cπ/2 = 2π. Our two answers were π/2 and 3π/2, so an even multiple won't work for us; we need the odd multiples only. In our answers, π/2 and 3π/2, C = 1 and C = 3. Those are both odd numbers, and that's how you know you only need the "odd multiples of π/2" for question 3.

6 0
3 years ago
3 + x + x = 15<br> Just need a simple answer and explanation thank you
klemol [59]

Answer:

6

Step-by-step explanation:

3+x+x=15

3+2x=15

2x=15-3

2x=12

x=12/2

x=6

4 0
3 years ago
Read 2 more answers
In a certain game of chance, your chances of winning are 0.3. Assume outcomes are independent and that you will play the game fo
sergeinik [125]

Answer:

0.6517

Step-by-step explanation:

Given that in a certain game of chance, your chances of winning are 0.3.

We know that each game is independent of the other and hence probability of winning any game = 0.3 (constant)

Also there are only two outcomes

Let X be the number of games you win when you play 4 times

Then X is binomial with p = 0.3 and n =4

Required probability

= Probability that you win at most once

= P(X\leq 1)\\=P(X=0)+P(X=1)

We have as per binomial theorem

P(X=r) = nCr p^r (1-p)^{n-r}

Using the above the required prob

= 0.6517

3 0
3 years ago
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