you can use the value of sin\
sin(theta) = 12/16
Now solve for theta, and do inverse sine
so theta would be 48.59037789
, or around 50 degrees
The coordinate will be (5, 12). Then the number of balloons that a group of 5 people pops will be 12.
<h3>What is coordinate geometry?</h3>
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Rami works at a carnival dart game where groups of people try to pop balloons taped to a wall by throwing darts.
He records the number of people in each group and the total number of balloons they pop.
This graph represents Rami’s data.
Then the number of the balloons that a group of 5 people pops will be
The coordinate will be given as
⇒ (5, 12)
More about the coordinate geometry link is given below.
brainly.com/question/1601567
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Given:
The inequalities are:


To find:
The integer values that satisfy both inequalities.
Solution:
We have,


For
, the possible integer values are
...(i)
For
, the possible integer values are
...(ii)
The common values of x in (i) and (ii) are

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.
Answer:
y=4x+7
Step-by-step explanation:
You can find the slope of the line by using the formula of change and y over change in x. ∆y/∆x OR (y2-y1)/(x2-x1)
11-3=8
1--1=2
8/2=4
Let's plug in a y value 3.
3=4*-1+b
b=7
Once you found b rewrite your equation in slope intercept form.
y=4x+7
You can check this equation by plugging in the unused coordinate (1,11) and find it balances.
4 ants = 24 legs 2 spiders = 16 legs
24+16 = 40 legs