Answer:
15.8 (15/8)
Step-by-step explanation:
First, we turn the mixed numbers into fractions by multiplying the whole number by the denominator and this answer into the numerator:
2 1/2=5/2
1 1/3=4/3
now to divide, we keep the first fraction, change the divide to a multiply, and then flip the second fraction:
5/2·3/4
Now, simply multiply:
5/2·3/4=15/8 (15.8 if you need a decimal)
And you have your answer! hope this helped!
Use the Pythagorean Theorem:
A²+B²=C²
6²+5²=C²
36+25=C²
61=C²
√61=C
So the answer is C.
Answer:
Area of big rectangle - area of mini rectangle
56in2 - 3in2
B. 53 in2
tan2x*cotx - 3 = 0
We know that: tan2x = sin2x/cos2x and cotx = cosx/sinx
==> sin2x/cos2x *cosx/sinx = 3
Now we know that sin2x = 2sinx*cosx
==> 2sinxcosx/cos2x * cosx/sinx = 3
Reduce sinx:
==> 2cos^2 x/ cos2x = 3
Now we know that cos2x = 2cos^2 x-1
==> 2cos^2 x/(2cos^2 x -1) = 3
==> 2cos^2 x = 3(2cos^2 x -1)
==> 2cos^2 x = 6cos^2 x - 3
==> -4cos^2 x= -3
==> 4cos^2 x = 3
==> cos^2 x = 3/4
==> cosx = +-sqrt3/ 2
<span>==> x = pi/6, 5pi/6, 7pi/6, and 11pi/6</span>
