f sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

Answers

Answer 1
Answer: Sin(x) = opposite over hypotenuse 
Cos(x) = adjacent over hypotenuse
Tan(x) = opposite over adjacent

Everything revolves around a right triangle.
From the given equation, "sine of x equals square root of 2 over 2"

Opposite = square root of 2
Hypotenuse = 2
Adjacent = ?

Using the Pythagorean Equation: H^2 = O^2 + A^2
2^2 = (square root of 2)^2 + A^2
A^2 = 4 - 2
A = square root of 2

Cos(x) = square root of 2 over 2
Tan(x) = square root of 2 over square root of 2 = 1


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Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = -74. -20.5
-151
-22.75
-144

Answers

Arithmetic sequence:
an=a1+(n-1)d
a_(17)= a_(1)+16d -74=38 + 16d 16d=-74-38 16d=-112
d=-112/16=-7
a_(27)=a_(1) + 26d=38+26*(-7)=38-182=-144
Answer: D)-144

Answer:

d) -144

Step-by-step explanation:

Suppose you are determining the growth rate of two species of plants. Species A is 12 cm tall and grows 2 cm per month. Species B is 10 cm tall and grows 3 cm per month. Which system of equations models the height of each species H(m) as a function of months m.H(m ) = 2 + 12m
H(m ) = 3 + 10m

H(m ) = 2 + 12m
H(m ) = 10 + 3m

H(m ) = 12 + 2m
H(m ) = 3 + 10m

H(m ) = 12 + 2m
H(m ) = 10 + 3m

Answers

Answer:

The equations for the growth of two type of species are

H(m) = 12 + 2m

H(m) = 10 + 3m

Step-by-step explanation:

As given

The growth rate of two species of plants.

Species A is 12 cm tall and grows 2 cm per month.

The height of each species is represented by H(m) as a function of months m.

Than the equation becomes

H(m) = 12 + 2m

As given

Species B is 10 cm tall and grows 3 cm per month.

Than the equation becomes

H(m) = 10 + 3m

Than the equations for the growth of two type of species are

H(m) = 12 + 2m

H(m) = 10 + 3m

H(m) = 12 + 2m
H(m) = 10 + 3m

Greatest integer function What is the value of [-12]?
A. –13
B. –12
C. 12
D. 13

Answers

basically if the number is not an integer, round down to the nearest integer
-12 is integer
we are done

B is anres

Here is one of the other ones.

Answers

I’m pretty sure the answer is 2.5!

David recycles 5 cans every week. Which expression shows the total number of cans he recycles in w weeks?A.5w
B.w/5
C.5 + w
D.5 + 5w

Answers

the answer would be option A 
because if you know that David recycles 5 cans a week every week that the week would turn into w and 5 would stay the same so when you put 5 and w (week) together you would get 5w 
(i am not sure if that is right thought i am taking a test with the same question)

p.s. sorry if i confused you i don't really know how to explain it
a because 5 per week so 10 in two weeks etc...so 5 per (w) any number of weeks
hope i help

AYO 100 POINTS!!! Identify the equation for the graph! (polynomials)

Answers

The equation for the graph is B. y=(x-1)(x-3)^(3) (x-4).

To identify the equation for the graph, we can look at the following features:

The graph has three zeros, at x = 1, x = 3, and x = 4. This means that the equation of the graph will have the following factors: (x - 1), (x - 3), and (x - 4).

The graph is even at x = 1 and x = 4, which means that the corresponding factors must be squared.

The graph is odd at x = 3, which means that the corresponding factor must be cubed.

Therefore, the equation of the graph must be of the form:

y = (x - 1)(a)(x - 3)(b)(x - 4)(c)

where a, b, and c are positive integers.

To determine the values of a, b, and c, we can look at the end behavior of the graph. As x approaches positive or negative infinity, the graph goes to infinity, which means that the leading term of the polynomial must have a degree greater than 1. The leading term of the polynomial is (x - 1)(a)(x - 3)(b)(x - 4)(c), so we know that a + b + c > 1.

The only answer choice that satisfies all of these conditions is B. y=(x-1)(x-3)^(3) (x-4).

For such more question on equation

brainly.com/question/29174899

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