Answer:
Step-by-step explanation:
cos²<em>x</em> = 1-sin²<em>x</em> = 1-(5/13)² = 144/169
cos<em>x</em> = √(144/169) = 12/13
tan<em>x</em> = sin<em>x</em>/cos<em>x </em>= (5/13)/(12/13) = (5/13)×(13/12) = 5/12
The number is 1
Step-by-step explanation:
Let x be the required number
Then according to given statement
Five times the difference of twice a number and seven is negative twenty-five.
Simplifying
Adding 35 on both sides
Dividing both sides by 10
Verification:
![5[2(1)-7] = -25\\5(2-7) = -25\\5(-5) = -25\\-25=-25](https://tex.z-dn.net/?f=5%5B2%281%29-7%5D%20%3D%20-25%5C%5C5%282-7%29%20%3D%20-25%5C%5C5%28-5%29%20%3D%20-25%5C%5C-25%3D-25)
Hence,
1 is the number
Keywords: Linear equation
Learn more about linear equation at:
#LearnwithBrainly
The average of the five consecutive numbers ending with b in discuss when expressed in terms of a is; Choice D; a+3.
<h3>What is the average of five consecutive integers ending with b?</h3>
First, since it was given in the task content that the average of six positive consecutive odd integers starting with a is equal to b, it therefore follows that;
(a+a+2+a+4+a+6+a+8+a+10)/6 = b
6b=6a+30
b=a+5
Also, let the average of the consecutive intergers ending with b be denoted by; x.
(b+b-1+b-2+b-3+b-4)/5 = x
=(5b-10)/5
=b–2
The average, x=b – 2 (where b = a-5)
Ultimately, the value of the required average is; = a+5-2 = a+3.
Read more on average of integers;
brainly.com/question/24369824
#SPJ1
It's 4 and u should know that by now.
One side is 5, another is 5, one side is 10, another side is 10. 5+5+10+10= 30
