Answer: b=4, c=2
Step-by-step explanation:
Since ΔXYZ and ΔVUW are congruent, we can set the sides equal to each other.
c+16=9c [subtract both sides by c]
16=8c [divide both sides by 8]
c=2
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10b=b+36 [subtract both sides by b]
9b=36 [divide both sides by 9]
b=4
Let's get started!! hahah
The tenths place is the place right after the decimal
When rounding,
This number either stays the same (if the number after it is lower than 5)
or increases by 1 (if the number after it is 5 or greater)
1) 29.516. 5 is in the tenths place look at the number after this.. 1: it is LESS THAN 5 so the answer is 29.5
2) 84.78 7 is in the tenths place look at the number after this.. 8: it is GREATER THAN 5 so the answer is 84.8
3)1017.36 3 is the tenths place look at the number after this.. 6: it is GREATER THAN 5 so the answer is 1017.4
Hope that helps
Answer:
25%
Step-by-step explanation:
10 - 8
Percent increase= ---------------------------- .100% = 25%
8
<h3>
Answer: (5/9, -7/6)</h3>
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Explanation:
Since the center of dilation is (0,0), we multiply each coordinate of point B by the scale factor 1/3.
The coordinates of point B are x = 5/3 and y = -7/2
So we have
(1/3)*x = (1/3)*(5/3) = (1*5)/(3*3) = 5/9 as the new x coordinate
and
(1/3)*y = (1/3)*(-7/2) = (1*(-7))/(3*2) = -7/6 as the new y coordinate
The point (5/3, -7/2) moves to (5/9, -7/6)
Answer:
Since the question is incomplete, see below for a fully understanding of this kind of questions.
Explanation:
The question is incomplete but you can set some assumptions and determine the function that model the situation.
The relevant data of the text are:
- Every 12 weeks, the number of people who receive the email increases by and additional 99%
From that you can:
- determine the growing factor
- determine the function P, which depends of the amount of time t (weeks) and models the function
<h2 /><h2>Solution</h2>
You can build a table or write a sequence to help you to figure out what is going on:
First, you need to know the number of friens to whom NIcholas initially sent the chain letter. You must assume a number. Assuming Nicholas initially sent the chain letter to 10 frirends, this would be the table:
t (weeks) P(t)
0 10
12 10 + 99% of 10 = 10 + 0.99× 10 = 10 (1.99)
24 10(1.99)(1.99) = 10 (1.99)² ↔ two times 12 weeks
36 10(1.99)³ ↔ three times 12 weeks
This is every 12 weeks the number of people who recieve the email is multiplied by 1.99.
That means that the grow factor is 1.99 every 12 weeks, and the power of the exponential function is the number of 12 weeks elapsed, which is t divided by 12: t/12

It is important that you realize that t/12 means the number of times that 12 weeks elapse.