Answer:
D
Step-by-step explanation:
These two triangles are similar triangles. The two angles marked are the same and the two angles at the intersection where you see the square are also the same, making it clear that the last angle must be the same as well.
Therefore,
length 8 from the top triangle is similar to length 6 on the bottom triangle,
length 10 from the top is similar to b on the bottom triangle,
length 6 from the top is similar to a on the bottom.
To find the ratio of similarity, you would compare the length 8 to length 6, and divide them. 8/6 = 1.33333
Now that you've found the proportionality constant, you divide the other two lengths on the top triangle with the constant to get <em>b </em> and <em>a</em>.
b = 10/1.3333 = 7.5
a = 6/1.3333 = 4.5
Therefore, the answer is D: a = 9/2, b = 15/2.
Answer:
2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 0, 2 ], thus
f(b) = f(2) = -(2)² + 4)(2) + 2 = - 4 + 8 + 2 = 6
f(a) = f(0) = 2
average rate of change = 
= 
= 2
Answer: 44
Step-by-step explanation:
<R is an inscribed Angle- so if we follow it's ends to the intercepted Arc we are looking at arc NQ
the intercepted arc is 2 times the measure of the inscribed angle, so arc NQ is 44 (22*2)
<O has the same measure as the arc NQ so angle O is 44
The future value of an investment, P after n years at an APR of r% compounded t times a year is given by
Given <span>an investment of $2300, after 7 months, earning 6.6% APR, compounded monthly, the future value is given by
</span>
Answer: 72
Plan A = 30 +0.15x
Plan B = 16 +0.20x
30+0.15x = 16+0.20x
subtract 16 from each side
14 +0.15x = 0.20x
subtract 0.15x from each side
14=0.05x
x = 14/0.05 = 280 minutes
280*0.15 = 42 +30 = $72
280 * 0.20 = 56 +16 = 72
280 minutes and cost $72 each
Step-by-step explanation:
