Step-by-step explanation:
q=r+rst
Rewrite the equation as
r+rst=q
Subtract r from both sides of the equation.
r st=q−r
Divide each term by rt
(r st )/rt=(q/rt)−(r/rt)
Cancel the common factor.
(
s=(q/rt)−1/t
Simplify the following:
(3 sqrt(2) - 4)/(sqrt(3) - 2)
Multiply numerator and denominator of (3 sqrt(2) - 4)/(sqrt(3) - 2) by -1:
-(3 sqrt(2) - 4)/(2 - sqrt(3))
-(3 sqrt(2) - 4) = 4 - 3 sqrt(2):
(4 - 3 sqrt(2))/(2 - sqrt(3))
Multiply numerator and denominator of (4 - 3 sqrt(2))/(2 - sqrt(3)) by sqrt(3) + 2:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/((2 - sqrt(3)) (sqrt(3) + 2))
(2 - sqrt(3)) (sqrt(3) + 2) = 2×2 + 2 sqrt(3) - sqrt(3)×2 - sqrt(3) sqrt(3) = 4 + 2 sqrt(3) - 2 sqrt(3) - 3 = 1:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1 = (4 - 3 sqrt(2)) (sqrt(3) + 2):
Answer: (4 - 3 sqrt(2)) (sqrt(3) + 2)
Answer:
There are 200 students in the seventh grade.
Step-by-step explanation:
For equations like these, you have to use the is/of formula, which is:
Percent/100 = is/of.
Since you are trying to find how many students are in the seventh grade, this means that 52 <u><em>is</em></u> 26% of the total amount of students in the seventh grade. So, the formula would look like so:
26/100 = 52/n.
Next, you have to cross multiply, which means you would multiply 26 by n, and 52 by 100.
Then, you are going to have this left over from the cross multiplying:
5200 = 26n.
Divide 26 on both sides, leaving you with:
1n = 200, or n = 200.
Answer:
a=61°
Step-by-step explanation:
a= 180° - 90° - 29°
a = 61°
To answer this question I would need the original coordinates. Were you given a picture or coordinates of the original triangle?
