Answer:
169
Step-by-step explanation:
You need to use a Z-table for this.
There are different tables, in this table i searched for the probability of 97% because that equivalent to the top 3%.
for 0.97, Z = 1.88
The formula of Z is:
Solving x:
9514 1404 393
Answer:
- 85°
- 60°
Step-by-step explanation:
1. Angle JKL is half the measure of the intercepted arc JK.
(1/2)JK = 1/2(360° -190°) = (1/2)(170°) = 85°
angle JKL is 85°
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2. The angle between tangents is the supplement of the intercepted arc.
angle JKL = 180° -(360° -240°)
angle JKL = 60°
Answer:
AREA:
CIRCUMFERENCE:
Step-by-step explanation:
The formula that is used to calculate the area of a circle is:
Where "r" is the radius of the circle.
The formula for calculate the circumference of a circle is:
Where "r" is the radius of the circle.
Then, you need to find the radius. This is:
Substituting the radius, you get that the area and the circumference are:
AREA:
CIRCUMFERENCE:
I will do my best to explain this “ x method “ I use
Basically, two factors of the first and last number must multiply together to sum up to equal the middle number
1 X 12
1 4
(x+12) (x+4)
Hope this helps!
ANSWER:
d. x = 15, y= 15√3
EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have
We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15
We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.
x = 15
y = 15√3
Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications
