<span>Total mass contains 320g copper. How many parts of 16g copper are there of the total mass of 320g copper? 320/16 = 20. There are 20 portions of 16g copper.
(320/16) * 3 = 60g
There are 60g of zinc in the compound.</span>
Answer:
17
Step-by-step explanation:
< ABD = <ABC + < CBD
Substitute in what we are given
87 = 9x-1 + 6x+58
Combine like terms
87 = 15x +57
Subtract 57 from each side
87-57 =15x +57-57
30 = 15x
Divide by 15
30/15 =15x/15
2=x
We want to find <ABC
<ABC = 9x-1
= 9*2-1
=18-1
=17
Answer:
$2.95/lb
Step-by-step explanation:
2 tons to lbs= 4000lbs
11,800/4000=2.95
You can use the "Law of cosines":
c^2 = a^2 + b^2 - 2 a b cos C
where a, b and c are the three sides of a triangle, and C is the opposite angle to side c.
In this case, the triangle is half a parallelogram. Sides a and b of the triangle are the sides of the parallelogram, and side c of the triangle is the longest diagonal of the parallelogram. So:
c = x; a = 10; b =15
The opposite angle to the diagonal is the biggest angle of the parallelogram, because we want the longest diagonal. The angles in a parallelogram are supplementary. Because the given angle is acute, it is the small one. Hence, angle C equals 180 - 60 = 120.
Plugging all this into the "Law of cosines", you get:
x^2 = 10^2 + 15^2 - 2·10·15·cos 120 = 175
x = √175 = 13.22
Rounded to the nearest whole number:
x ≈ 13
Answer:
1, 3, & 5
Step-by-step explanation:
All I did to solve this was look up a picture of the polar coordinate system and then match the lines from the image shown to the ones on the polar circle.