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mestny [16]
3 years ago
11

Find the exact value of sec A in simplest radical form

Mathematics
2 answers:
sukhopar [10]3 years ago
8 0

Answer:

sec A =  sqrt(61) / 6

Step-by-step explanation:

sec theta =  hypotenuse / adjacent side

sec A =  sqrt(61) / 6

AnnyKZ [126]3 years ago
7 0

Step-by-step explanation:

c is 90⁰ then 180-90 is 90 90 ÷2 is 45 so that makes angles a and b 45 I think

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At a track meet, Tim ran at a constant speed of 300 meters per minute. After 8 minutes, he still had 600 meters left to run. The
gregori [183]
Okay so 300 meters per minute and he ran 8 minutes..

300x8=2400

He still had 600 left to go...

2400+600=3,000

He had to run three times longer than Eric...

3000/3=1000

Does that make sense?
8 0
3 years ago
A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the
Vaselesa [24]

Answer:

2 / 7

Step-by-step explanation:

Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'

HHH , TTT , HTT, THT , TTH , THH , HTH , HHT  = total outcomes

P (A) = 2 consecutive heads , P (B) = atleast one tail

P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8

P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8

P (A | B) = P ( A ∩ B ) / P (B)

P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes =   2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8

So, P (A | B) = ( 2 / 8 ) /  ( 7 / 8 ) = 2 / 7

4 0
2 years ago
Jenna is at a fair with four friends. They all want to ride the roller coaster, but only three people can fit in a car. How many
pav-90 [236]

Answer:

They can make 10 different groups of three.

Step-by-step explanation:

The order in which the people are in the car is not important, so we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

How many different groups of three can the five of them make?

Combinations of 3 from a set of 5. So

C_{5,3} = \frac{5!}{3!(5-3)!} = 10

They can make 10 different groups of three.

6 0
2 years ago
If L, M and N are midpoints of the sides of PQR, PR = 46, PQ = 40, and LN=17, find each measure
Serga [27]

Check the picture below.

let's recall that the midsegment of a triangle is the segment that's half-way to both endsides and is at the same time parallel to the 3rd side, is also half the length of the parallel side, so-called the base.

so, for example, we know L, M and N are midpoints to each segment, that means that LM is a midsegment and parallel to PR and also half the length of PR, same is true for LN and MN.

5 0
2 years ago
Factor the following expression: x^2-4x+5
frozen [14]

(x-1) (x+5)

Step-by-step explanation:

3 0
3 years ago
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