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Soloha48 [4]
3 years ago
9

What is the cosine of angle F A. 4/5B. 3/4C. 5/4D. 3/5​

Mathematics
2 answers:
saveliy_v [14]3 years ago
6 0

Answer: option D

Step-by-step explanation:

Remember the cosine identity:

cos\alpha=\frac{adjacent}{hypotenuse}

Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:

adjacent=15\\hypotenuse=25

Now you can substitute values into  cos\alpha=\frac{adjacent}{hypotenuse} and then reduce the fraction.

THerefore you get:cos(F)=\frac{15}{25}\\\\cos(F)=\frac{3}{5}

Anvisha [2.4K]3 years ago
6 0

Answer:

D

Step-by-step explanation:

Cosine is adjacent over hypotenuse.

adjacent to angle F is  15

over the hypotenuse being 25

reduced is 3/5

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s the number of points scored during a basketball gamenumber of points scored during a basketball game a discrete random​ variab
Temka [501]

Answer:

The answer is Discrete Random Variable

Step-by-step explanation:

A random variable is considered discrete if its possible values are countable.

In our case,

In a basketball game, for example, it is only possible for a team's score to be a whole number—no fractions or decimals are allowed, and so the score is discrete.

A good rule of thumb is this: if the variable you're measuring has to be rounded before it's written down, then it's continuous. If no rounding is necessary, as with anything that's countable, then it's discrete.

5 0
3 years ago
Read 2 more answers
for any positive integer n, the sum of the first n positive integers equals n(n 1)/2. what is the sum of all the even integers b
marusya05 [52]

The sum of all the even integers between 99 and 301 is 20200

To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.

In this case, the first even integer will be 100 and the last even integer will be 300.

nth term of the AP = first term + (n-1) x common difference

               ⇒    300 = 100 + (n-1) x 2

Therefore, n = (200 + 2 )/2 = 101

That is, there are 101 even integers between 99 and 301.

Sum of the 'n' terms in an AP = n/2 ( first term + last term)

                                                = 101/2 (300+100)

                                                = 20200

Thus sum of all the even integers between 99 and 301 = 20200

Learn more about arithmetic progressions at brainly.com/question/24592110

#SPJ4        

7 0
1 year ago
Which is the correct first step for solving this equation? 2x-7=5?
scZoUnD [109]

Answer:

to get x by itself so divide 5 by 2 and then add 7 to the other side

Step-by-step explanation:

2x-7=5

x-7=2.5

x=2.5+7

x=9.5

4 0
3 years ago
Am I right ? <br> [[ PLEASE HELP IF I"M NOT CORRECT. EXPLAIN, SHOW DETAILS, ETC. ]]
Elena-2011 [213]

Answer:

D 12.57

Step-by-step explanation:

diameter = 4inches hence radius = 2inches

if the crust covers the full pizza "around", technically its the circumfrence

hence 2πr

2×π×2= 12.566 ~ 12.57

5 0
3 years ago
Solve a" + 14a + 45 = 0 by factoring
pantera1 [17]

Answer:

a = -3

Step-by-step explanation:

-3 + (14 * -3) + 45 = 0

-3 + -42 + 45 = 0

-3 + 3 = 0

So, the answer is -3

Hope this helps! :)

3 0
3 years ago
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