Answer:
A
Step-by-step explanation:
The Tangent-Secant Exterior Angle Measure Theorem states that if a tangent and a secant or two tangents/secants intersect outside of a circle, then the measure of the angle formed by them is half of the difference of the measures of its intercepted arcs. Basically, what that means here is that 
equals half of the difference of 
and the measure of the unlabeled arc.
First, we need to find the measure of the unlabeled arc, since we can't find without it. We know that the measure of the full arc formed by the circle is 
, so the measure of the unlabeled arc must be 
by the Arc Addition Postulate.
Now, we can find . Using all of the information known, we can solve for like this:
Hope this helps!
Answer:
5 years
Step-by-step explanation:
To determine the number of years needed for the company to process a certain amount of milk, we use the given function which relates the number of years, x, and the gallons of milk, y. We simply substitute the number of gallons to y and solve for x.
y = x^6 − 9x^4 + 70x^2
630 = x^6 − 9x^4 + 70x^2
Solving for x, we will have
x = 4.8866 years or approximately 5 years
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
0.1 or 1/10
Step-by-step explanation:
The digits 4, 5, 6, 7 and 8 are randomly arranged to form a three digit number, where the digits are not repeated.
This is question of permutation.
Imagine this sum as; there are 3 boxes(blank spaces for digits) and 5 different fruits(digits) are to be put in these boxes, where a box can hold a maximum of only 1 fruit. The number of such permutations are: ⁵P₃
By formula (a! is factorial a):
ᵃPₙ 
⁵P₃ 
⁵P₃ 
⁵P₃ 
⁵P₃= 60
This is the total count of possible numbers that can be formed.
Now, for a number to be greater than 800 and even; first digit should necessarily be 8. Last digit can be 4 or 6. Using these conditions, there are 6 possibilities. 854, 864, 874, 846, 856, 876 are the numbers.
The probability that number is even and greater than 800 is:
4.20/12 = 0.35$
6.19/16.3= 0.38$
8.40/28 = 0.30$
21.12/64 = 0.33$
Answer:
The best deal is the 28oz container of peanut butter.
