Step-by-step explanation:
∆PQR similar to ∆ JKL
JK/KL= PQ/QR
6/12=3/QR
QR=3×2= 6
therefore, tan(R) = PQ/QR = 3/6=1/2
and, tan(J) = KL/JK =12/6=2
tan(J)=4.tan(R)
option D
Answer:
The thing you should notice is that when we multiply a number by 10^n
(where n is the number of zeros that the number has) we move the decimal point on the first number n times to the right.
For example, if we have the number:
7.231 and we multiply it by 100 (there are 2 zeros) then the decimal point is moved two times to the right:
7.231*100 = 723.1
This happens because the base of our math is 10 (the decimal system).
Answer:
Step-by-step explanation:
area of the kite,
A=(d1*d2)/2
A=(16*21)/2= 168 in^2
choice C
The 3 terms are 1, -1, and -3.
Recursive= Previous - 2.
Explicit= -2n+ 13
So, all percents can be expressed as *percent*/100
So for this, it would be 150/100
Then we want to simplify it down and all that jazz. Find the biggest number that BOTH the numerator AND denominator can be divided by.
In this case, 50.
150/50=3
100/50=2
So now you have 3/2
You might also want a mixed number, or, a whole number with the leftover fraction after it.
In this case, see how many times can 2 go into 3 FULLY.
The answer would be 1. 1 is our WHOLE NUMBER.
Then take whatever is left over from 3 and that is our numerator. Do this, since 2 can go into 3 ONE time FULLY, I can say 3-(2*1) is our remainder.
That gives you one as the numerator. 2 is still the denominator.
So a mixed number of 3/2 is 1 1/2
So here is 150% as a fraction: 150/100, 3/2 or 1 1/2.
I hope I helped!!! -Kibeye/Ethan