Answer:
120°
Step-by-step explanation:
A line must add up to 180°.
The sum of angles in a triangle also adds up to 180°.
Step 1: Find measures interior angles.
3x = 180
x = 60°
Step 2: Find measures of exterior angels.
x + 60 = 180
x = 120°
Answer:
The percentage of the number of marching band members increased by 16% this year.
Step-by-step explanation:
x 100% = 16%
56 is 16% of 350
Answer:
2/5
Step-by-step explanation:
Let's find the probability of each condition first.
For P(4), there is only one option: 4. This is 1 out of 5.
For P(even), this includes 4 and 6. However, we already had 4 from our last condition so we can remove this option. This is again 1 out of 5.
Adding them together, we will get 2/5.
The answer is 2/5
So the mean is 72.97
We need to subtract the mean from each value and square it.
(65-72.97)^2= 63.5209
(68-72.97)^2=24.7009
(69-72.97)^2=15.7609
(70-72.97)^2=8.8209
(71-72.97)^2= 3.8809
(72-72.97)^2=0.9409
(90-72.97)^2=290.0209
(95-72.97)^2=485.3209
Now we add up the new values ( also consider their frequency) and find their mean.
Add the values
63.5209+(2 •24.7009=49.4018)+(5•15.7609=78.8045)+(8•8.8209=70.5672)+(7•3.8809=27.1663)+(3•0.9409=2.8227)+(2•290.0209=580.0418)+(2•485.3209=970.6418)= 1,842.967
Divide by total numburs to find the mean
1,842.967/ 30=61.43223333
The standar deviation is the square root of the mean so is
Square root of 61.43223333=7.837871735
Round to the nearest tenth
Standard Deviation is 7.8
Given:
The radius of circle is 11 inch
The value for pi is 3
The objective is to find the area of the circle.
The area of the circle is given by the formula:
Substituting ,r = 11
We get:
Hence, the area of the circle is 363 square inches
