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horrorfan [7]
2 years ago
7

Write 2 expressions using trigonometric ratios that are equivalent to 40/41.

Mathematics
1 answer:
Whitepunk [10]2 years ago
7 0

Answer:

cos(F) = 40/41

sin(G) = 40/41

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

In your triangle 41 is the hypotenuse, so these two ratios are appropriate ones to use. The side of length 40 is adjacent to angle F, so

... cos(F) = 40/41

and the side of length 40 is opposite angle G, so

... sin(G) = 40/41

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What is the sample space for each one of the following statements? (7.5 points each)
photoshop1234 [79]

We can define the sample space for a given experiment as the set of all the possible outcomes for the experiment.

For example, tossing a coin has a space sample of 2 elements, tails and heads.

The spaces are:

a) {WW, BB, WBB, BWW, WBWW, BWBB,... }

b) { 1-2-3-4, 1-2-3-5,..., 7-6-5-4,...}

a) We can write one element in this sample space as:

WBB

This would mean that first we draw a white ball, then a black ball, and then the second black ball, thus we stop drawing.

<u>So all the elements in this set will have the form</u>

{WW, BB, WBB, BWW, WBWW, BWBB,... }

As we have infinite balls in the bag, we have infinite elements in this set.

b) Now we have only 10 balls numbered from 1 to 10, and we draw 4.

So each element in the sample space can be written as:

1-2-3-4

This element means:

"first we draw ball number 1, then ball number 2, then ball number 3, then ball number 4"

Then the sample space will have the form:

{ 1-2-3-4, 1-2-3-5,..., 7-6-5-4,...}

If you want to learn more, you can read:

brainly.com/question/23125812

6 0
3 years ago
Suppose James has a credit card with a balance of 4289 . Each month the credit card company charges 5% interest. If James pays o
topjm [15]

Answer:

<h2>4076.56</h2>

Step-by-step explanation:

First we need to calculate the James monthly charges on his balance of 4289.

Using the simple interest formula;

Simple Interest = Principal * Rate * Time/100

Principal = 4289

Rate = 5%

Time = 1 month = 1/12 year

Simple interest = 4289*5*1/12*100

Simple interest = 21,445/1200

Simple interest = 17.87

<u>If monthly charge is 17.87, yearly charge will be 12 * 17.87 = </u><u>214.44</u>

The balance on his credit card one year from now = Principal - Interest

= 4289 - 214.44

= 4076.56

The balance on his credit card one year from now will be 4076.56

5 0
3 years ago
Check all the answers that represent the same level of precision 35.689 0.764 1365.76 12.5
Bogdan [553]
<span>A and C represent the same level of precision because they have the same number of places after the decimal point.</span>
3 0
3 years ago
Read 2 more answers
Find the value of X, please explain!
Monica [59]
All four angles are exterior angles of the quadrilateral.

We know that the sum of exterior angles of any polygon is 360 &deg; .

So we can add together the four angles and solve for x:
(x+16)+(3x-1)+6x+5x = 360
15x+15=360
15x=345
x=345/15=23 &deg;

4 0
2 years ago
Timed quiz help please! <br> 2 2/5 kilometers in 3 3/4 minuets.
shepuryov [24]

Answer: 16/25 (sorry I'm not really sure bc I'm just  a middle schooler)

Step-by-Step explanation:

2 2/5 km=2.4 kilometers

3 3/4 minutes=3.75 minutes

2.4/3.75=240/375

240/375=48/75=16/25=64/100=0.64

0.64 km/minute (0.64 km per minute)

you can solve the problem using the fractions...

2 2/5=12/5

3 3/4=15/4

(12/5)/(15/4)=(12/5)*(4/15)=48/75=16/25=0.64 again, or you can simplify before multiplying...

(12/5)/(15/4)=(12/5)*(4/15)=(4/5)*(4/5)=16/25...

4 0
3 years ago
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