Angle EGD = x (vert. opp. angles)
30 ° + 90 ° + x = 180 ° (adj. angles on st. line)
x = 60
Answer:
b=8.5cm
Step-by-step explanation:
tanx (this represents tan theta, it's just easier to type) is equal to 0.6 and since the tanx ratio is opp/adj, we know that opp/adj = 0.6
To find what b is (adjacent as it is adjacent to the angle being used and it is not the hypotenuse), we just have to rearrange.
0.6=5.1/adj
to solve for adj, we can switch 0.6 and adj. (This works because to get adj by itself on one side you would multiply it to the other side and then divide 0.6 from both sides --> simple algebra)
so then you have
adj=5.1/0.6
adj=8.5cm
(if you want to check your solution you can use pythagoeran theorem, a^2+b^2=c^2) and sub everything in and make sure all the numbers equal the right thing!
Answer:
The answer to your question is: y = 3x + 1
Step-by-step explanation:
Data
slope = m = 3
y-intercept = (0, 1)
Formula
(y - y1) = m(x - x1)
(y - 1) = 3(x - 0)
y - 1 = 3x
y = 3x + 1
Answer:
a) Discrete Variable
b) Discrete Variable
c) Discrete Variable
d) Continuous Variable
Step-by-step explanation:
We have to identify the given variable as discrete r continuous.
Discrete Variables:
- They are expressed in whole numbers.
- They are counted not measured.
- They cannot take any value within an interval.
Continuous Variables:
- They are expressed in decimal numbers.
- They are measured not counted.
- They cannot take any value within an interval.
a) The number of countries ever visited
Since number of countries will always be expressed in whole numbers and not decimals. Also, they will always be counted and not measured. Thus, it is a discrete variable.
b) The number of sons
Since number of sons will always be expressed in whole numbers and not decimals. Also, they will always be counted and not measured. Thus, it is a discrete variable.
c) Shoe size
Shoe size are expressed in whole number. The underlying measure is length of feet which is a continuous variable but shoe size are always given in whole number. Thus, they cannot take any value within an interval. Thus, it is a discrete variable.
d) Body temperature
Body temperature can be expressed in decimal. A Body temperature of 42.5 makes sense. Thus, they can take any value within an interval. Also, it is measured not counted. Thus, it is a discrete variable.
Answer:
x = 2 y= 1
Step-by-step explanation:
Solve the system by elimination by stacking the equations lining up the variables.
x + 3y = 5
-x - y = -3
Next, add each of the like terms.
x + 3y = 5
+ -x - y = -3
-----------------------
0x + 2y = 2
y = 1
Then substitute y = 1 into one of the equations.
x + 3(1) = 5
x + 3 = 5
x = 2
