Answer:
1. 47
2: 23
3: I want to say 51 not for sure though
Step-by-step explanation:
Hope this helps:)
Answer:
See below.
Step-by-step explanation:
I can do this but it's a pretty long proof. There might be a much easier way of proving this but this is the only way I can think of.
Write tan A as s/c and sec A as 1/c ( where s and c are sin A and cos A respectively).
Then tanA+ secA -1/ tanA - secA+1
= (s/c + 1/c - 1) / ( sc - 1/c + 1)
= (s + 1 - c) / c / (s - 1 + c) / c
= (s - c + 1) / (s + c - 1).
Now we write the right side of the identity ( 1 + sin A) / cos A as (1 + s) / c
So if the identity is true then:
(s - c + 1) / (s + c - 1) = (1 + s) / c.
Cross multiplying:
cs - c^2 + c = s + c - 1 + s^2 + cs - s
Simplifying:
cs - c^2 + c = cs - (1 - s^2) + c + s - s
Now the s will disappear on the right side and 1 - s^2 = c^2 so we have
cs - c^2 + c = cs - c^2 + c.
Which completes the proof.
Hey there!!
The total number of angles are 5 and the total sum of angles in a 5 sided shape is 540°
The angles given are :
107, 144, 130,x and 90
If we add them up, we get 540
Hence,
107+144+130+x+90 = 540
471 + x = 540
x = 69°
Hope my answer helps!!
You have to find the common least common multiple for both denominators. For example, on number 2, The denominators are 3 and 4 the least common multiple of those numbers is 12 because 3 times 4 equals 12 and 4 times three equals 12. An easy way to find this is to list the multiple of both numbers until you find a match. Like this:
Multiples of 3: 3, 6, 9, 12, 15
Multiples of 4: 4, 8, 12, 16, 20
You can see that the smallest number they both have the same is 12. So the answer would be 12. Here are the answers for another one of the questions:
Number 3:
Multiples of 3: 3,6,9,12,18
Multiples of 6: 6,12,18
Common denominator: 6