Answer:
130
Step-by-step explanation:
Hello There!
An included angle is equal to half the measure of its included arc
So more specifically for this circle
∠mABC = 
arc(mAB)
So in order to find the value of x we are going to want an equation
Because angle ABC is equal to 1/2 of arc AB we are going to want to multiply angle ABC's expression by two
So 2(3x+32) = 10x+20
now we solve for x
step 1 distribute the 2
2 * 3x = 6x
2 * 32 = 64
now we have
6x + 64 = 10x + 20
step 2 subtract 20 from each side
64 - 20 = 44
20 - 20 cancels out
now we have 6x + 44 = 10x
step 3 subtract 6 x from each side
10x - 6x = 4x
6x - 6x cancels out
now we have 44 = 4x
step 4 divide each side by 4x
44/4=11
4x/4=x
we're left with x = 11
finally we want to plug in 11 to x for (10x+20)
10(11)+20
10*11=110
110+20=130
so arc ab = 130
Well you need to do V= pi(r)h squared so Diameter of 12 divided by 2 will get you r so 6
3.14×6squared is equal to 3.15×36 which is 113.04 then times height of 4 gives you 452.4 so C)
Answer:
he mow in square feet per hour : 2400 x (4/3) =3200 square feet/ per hour
Step-by-step explanation:
Answer:
133°
Step-by-step explanation:
angles on a straight line = 180°
180 - 144 = 36°
angles in a triangle = 180°
36 + 31 = 67
180 - 67 = 113
answer = 113°
Answer:
The probability of testing positive for one is 0.20.
The probability of testing negative for one sample is (1-0.2)=0.8.
We only save time when all five are negative, which has a probability of 0.8^5=0.32768.
This means that the expected number of tests is
combined sample tests negative = 1 with probability 0.32768
combined sample tests positive = 1+5 retests = 6 with probability 0.67232
Expected number of tests
=Σ nipi / n
=(1*0.32768+6*0.67232)/5 [divide by 5 because we tested 5 samples]
= 0.87232 < 1
So yes, there is a saving.
Note: In practice, all medical tests are not absolute, i.e. they give false-positives(α) and false-negatives (β). The ratios 1-α and 1-β are respectively measures of specificity and sensitivity.
These two parameters complicate the simplistic evaluation above.
