Hello from MrBillDoesMath!
Answer:
5.06
Discussion:
Angle J = 180 - (120 + 40) = 180 - 160 = 20 degrees,
From the law of sines
sin(120)/k = sin(20)/2 =>
sin(120) = k * ( sin(20)/2) ) (multiply both sides by "k")
k = sin(120)/ ( sin(20)/2) (divide both sides by sin(20)/2)
k = (0.866) / ( 0.171) = 5.06
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
Answer:
13.76
Step-by-step explanation:
Area of the whole
The area of the whole = s^2 (the firgure is a square
s = 8
Area of the whole = 8^2 = 64
Area of the unshaded part
The 2 half circles = 1 whole circle
The radius of the 1/2 circle = 4 (eight has been cut in half)
Area of two half circles = 2* (pi r^2/2)
Area of two half circles = 2 * (pi 4^2/2)
area of two half circles = 16*pi
Area of the shaded area
Area of the shaded area = area of the whole - area of the unshaded area
Area of the shaded area = 64 - 16*pi
Area of the shaded area = 64 - 3.14*16 = 13.76
Answer:
Step-by-step explanation:
Well you could do 8 apple and 3 oranges per box since there are 64 apples and 24 oranges. You can either use trial and error to see what what values give you an answer of 8 for each amount of fruit. Or you can find the greatest common factor which happens to be 8 in this case, and divide each by that can come to the conclusion that 8 apples go into 8 boxes and 3 oranges do into 8 boxes Over all the answer would be 8 apples and oranges per each box, to have a total number of 8 boxes.
I hope this helps!
The first lot is (250 x 300) x 5 = 375,000
The second lot is (350 x 400) x 5 = 700,000
375,000 + 700,000 = $1,075,000
