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Flura [38]
3 years ago
15

Find sin D sin E cos D and cos E

Mathematics
1 answer:
Andrew [12]3 years ago
5 0

9514 1404 393

Answer:

  sin(D) = cos(E) = (√3)/2

  cos(D) = sin(E) = 1/2

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and right triangle sides.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

For this diagram, this means ...

  sin(D) = cos(E) = (13√3)/26 = (√3)/2

  cos(D) = sin(E) = 13/26 = 1/2

You might be interested in
What is the range of the function y = x^2?
user100 [1]

Answer:

The range is y≥0

Step-by-step explanation:

The shape of this graph is a parabola

You may see this by using the Desmos calculator and typing y=x^2 if you would like to visualize.

(a) The function y = x^2 simply takes whatever number you feed it (x) and outputs x squared.

For example

y = (2)^2=4

y = (3)^2 = 9

(b) To graph x^2 simply make a table of values and plug in 0 -> however high you would like to go ( usually to 5 or so is fine but you could go to infinity).

Example

      y = x^2

                 Y    |     X

                ________

                 2      |   4  

                 3     |   9

                 4    |    16

In this case the function's range is y≥0 because all y values will be greater than or equal to 0.

If you are wanting to learn how to specifically graph this you can look up (Graphing y = x²) if my quick graphing explanation back at mark (b) does not help.

8 0
2 years ago
Question 8 Multiple Choice Worth 1 points)
Anon25 [30]

Answer:

\dfrac{x}{2}+12=36

Step-by-step explanation:

As it is given that

Both Riley and Francesca commute to work.

And, the Riley takes 12 minutes more than as Francesca as Riley takes 36 minutes

So for determining how many minutes is required for Francesca to get to work we need

Let us assume the time taken by Francesca to get to work is x

So, the time taken by Riley is

= \dfrac{x}{2}+12

And, Riley takes 36 minutes to get to work.

So, the equation would be

\dfrac{x}{2}+12=36

5 0
3 years ago
The rectangle below has an area of x^2-7x+10x square meters and a width of x-5x meters. What expression represents the length of
sergey [27]

Answer:

The area of a rectangle is:

\sf A=lw

Plug in what we know:

\sf x^2-7x+10=l(x-5)

Factor the left side:

\sf (x-2)(x-5)=l(x-5)

Divide (x - 5) to both sides:

\sf l=\boxed{\sf x-2}

So the length is x - 2 meters.

Step-by-step explanation:

8 0
3 years ago
What is 3 divided by 11/12
Lena [83]

Answer:

0.02272

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Nicole deposits $2,136 in a savings account paying 5.36% interest. To the nearest dollar, how much money does Nicole have in tot
jeka57 [31]

we know that


The simple interest formula is equal to


A=P(1+rt)


where


A is the Final Investment Value


P is the Principal amount of money to be invested


r is the rate of interest  

t is Number of Time Periods


in this problem we have


t=9\ years\\ P=\$2,136\\ A=?\\r=0.0536


substitute in the formula above


A=2,136(1+0.0536*9)


A=2,136(1.4824)

A=\$3,166.41  

Round to the nearest dollar

A=\$3,166  

therefore

<u>the answer is the option D</u>

\$3,166  

5 0
3 years ago
Read 2 more answers
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