Answer: b) the tiles are not similar because both SP:SR is 5:4 and MJ:ML is 5:2
<u>Step-by-step explanation:</u>
We are given that the tiles are rectangular which implies that they both have a 90° angle.
In order to prove similarity, We need to show that the lengths and widths are proportional.
P Q R S
J K L M
a) PQ : QR JK : LM
w=4 L=5 w=2 w=2
↓
We need Length (not width)
b) SP : SR MJ : ML
L=5 w=4 L=5 w=2
5 : 4 5 : 2
When comparing length to width they do not have the same ratio so the rectangles are not similar.
c) PQ : QR JK : KL
w=4 L=5 w=2 L=5
4 : 5 2 : 5
When comparing width to length they do not have the same ratio so the rectangles are not similar.
d) SR : ML PQ : JK
w=4 w=2 w=4 w=2
↓ ↓
We need Length (not width)
Three quadratic equations that have one real solution are show below:
5x^2+3x^3+3^4 = 55
5x^2+3x^3+3^7 = 55
5x^2+3x^3+3^8 = 55
2 (an - 1) = 40
2an - 2 =40
2an = 40 - 2
2an = 38
2an/2 = 38/2
an = 19
Answer:
60
Step-by-step explanation:
Answer:
Step-by-step explanation:
This may seem a bit tricky because we are not given enough info really to plug in and solve for the rate. We are told, however, that we are interested in doubling whatever amount we invested. So it is up to us to pick an amount for P, then double it for A(t). Let's use P = 1000 so A(t) = 2000. Filling in then:
and
We need to get that r all by itself and right now it's quite buried. Begin by dividing both sides by 1000 to get
Now take the 60th root of both sides to get
Subtract 1 from both sides to get
and multiply both sides by 12 to finally get the rate in decimal form:
r = .13943328
To get that in a percent form, multiply it by 100:
r = 13.9%
