Hello!
In our triangle, c is the hypotenuse. We are given an adjacent side length to our angle. This means we will use the cosine. Let's find it first.
cos54≈0.59
This gives us the equation below.
0.59=9/c
0.59c=9
c≈15.25
Therefore, c is equal to about 15.25
I hope this helps!
= 1455
generate a few terms of the sequence using 
= 3n + 2
= ( 3 × 1) + 2 = 5
= (3 × 2) + 2 = 8
= (3 × 3 ) + 2 = 11
= (3 × 4 ) + 2 = 14
= ( 3 × 5 ) + 2 = 17
the terms are 5, 8, 11, 14, 17
these are the terms of an arithmetic sequence
sum to n terms is calculated using 
= 
[ 2a + (n-1)d]
where a is the first term and d the common difference
d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and = 5
= 
[( 2 × 5) + (29 × 3) ]
= 15( 10 + 87) = 15 × 97 = 1455
Answer:
draw a number line from 66 to 81
make your minimum 67
lower quartile should be on 70
the median on 77
upper quartile and maximum on 80
(note that your upper quartile and maximum is both on 80 so there won't be an extension as you normally would see on a box plot)
You can search up "box plot" and go on images to see what i mean
(copy and pasted from your last post!)
Step-by-step explanation:
I can probably help on part 4 and send a sketch but I currently can't use my phone to send a pic and I am currently on my desktop :'(
I rlly hope you do well! Don't lose hope! <3
(also like ur pfp, i enjoyed the anime too ahehe)
Answer:
Step-by-step explanation:
Comment
You are given values for the adjacent side of <x and the hypotenuse of a right triangle. This defines the Cosine of an angle
Equation
Cos(x) = a/c the way you have labeled it.
Givens
a = 9
c = 18
Solution
Cos(x) = a / c
Cos(x) = 9 / 18
cos(x) = 1/2
x = cos-1(1/2)
x = 60 degrees
Answer
x = 60
Answer:
5.625 inches
Step-by-step explanation:
Given that:
Total Rainfall in inches (P) = 8 inches
The runoff volume (in inches) Q = ???
The curve number CN = 80
Recall that: The runoff volume can be calculated by using the formula:
for P > 0.2S
Q = 0 for P < 0.2S
where:
curve number CN = 80
S = 2.5 inches
Since the rainfall (P) is greater than 0.25
Then:
Q = 5.625 inches
Thus, the runoff volume = 5.625 inches
