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Kaylis [27]
2 years ago
6

Express cos k as a fraction in simplest terms.

Mathematics
2 answers:
olchik [2.2K]2 years ago
8 0

Answer:

cos K = \frac{5}{23}

Step-by-step explanation:

cos K = \frac{adjacent}{hypotenuse} = \frac{JK}{IK} = \frac{5}{23}

JulsSmile [24]2 years ago
4 0

Step-by-step explanation:

soh cah toa

that is the saying I use

we will use cah

c is cos

a is ajacent

h is hypotinuse

to find cos K we need to do

adjacent / hypotenuse

can you do that and write it in the comments

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How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
fenix001 [56]

Answer:

120

Step-by-step explanation:

Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Now we can use the permutation formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

_{6}P_{3}=\dfrac{6!}{6-3)!}

_{6}P_{3}=\dfrac{6!}{3!}

_{6}P_{3}=\dfrac{6*5*4*3*2*1}{3*2*1}

The 3*2*1 cancels out and leaves us with:

_{6}P_{3}=6*5*4

_{6}P_{3}=120

So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.

6 0
3 years ago
Read 2 more answers
The vertices of a rectangle are (1, -3), (4,0), (0,4) and (-3,1). What is the area of the rectangle? ​
motikmotik

Answer:

48

Step-by-step explanation:

You can use a graphing calculator like desmos or draw your own graph to figure this out. Start by graphing each of those points. Then count the width and height. Multiply them to get the area. The width and height of the rectangle were 6 and 8, so the area is 48

3 0
2 years ago
Write an equation of a line in slope intercept form that passes through the given points:
GarryVolchara [31]

Answer:

The answer is y= -1/3x-5

Step-by-step explanation:

(9, -8) and (-6, -3)

m= y²-y¹/x²-x1

m= (-3)-(-8)/(-6)-9

m= 5/-15

m=-1/3

y=mx+b

y=-1/3x+b

-3=-1/3(-6)+b

-3=2+b

-2 -2

-5=b

The answer is y=-1/3x-5

3 0
3 years ago
Four more than double a number is 100 what is the answer?
algol13

Answer:

the number would be 48 i think

Step-by-step explanation:

48 + 48 = 96

96 + 4 = 100

7 0
3 years ago
Evaluate the expression 7^2/x^2-2 for x =3
Elan Coil [88]

Answer:

7^2/x^2-2 for x =3

49/9-2

49/7

7

answer is 7

Step-by-step explanation:

8 0
3 years ago
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