Step-by-step explanation:
law of cosine :
c² = a² + b² - 2ab×cos(C)
with c being the side opposite of C.
so, in our case
3² = 3² + 3²×3 - 2×3×3×sqrt(3)×cos(A)
0 = 3²×3 - 18×sqrt(3)×cos(A)
27 = 18×sqrt(3)×cos(A)
cos(A) = 27/(18×sqrt(3)) = 3/(2×sqrt(3)) =
= 0.866025404...
A = 30°
FYI : since it is an isoceles triangle, C = A = 30°.
and therefore B = 180 - 30 - 30 = 120°.
as the sum of all angles in a triangle is always 180°.
So there is 65 yards and one yard is 3 feet so you multiple 65 by 3 which is 195 . Then you divide by 4 as you have to see how many four foot pieces can be cut which you end up with 48.75 which means that you can have 48 four foot pieces. So since you have 48 four foot pieces you multiply 48 by 4 and you have 192 and if you subtract 195 which is how many feet there is in the 65 yards you get three feet and that is how much of the rope that is left over.
<h3>
<em>Answer:</em></h3><h2>
<em>No</em></h2>
<em>4</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em><em>times </em><em>2</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>does </em><em>not </em><em>equals </em><em>to </em><em>1</em><em>1</em><em> </em><em> </em><em>1</em><em>1</em><em>/</em><em>4</em><em>8</em><em>.</em>
<em>It </em><em>actually</em><em> </em><em>equals </em><em>to </em><em>1</em><em>2</em><em> </em><em>3</em><em>/</em><em>8</em>
<em>hope </em><em>it</em><em> </em><em>helps</em>
<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>
Hello,
Please, see the detailed answer in the attached files.
Thanks.
Answer:
.0625 or A
Step-by-step explanation:
You have to work out the mean. (The simple average of those numbers) Then for each number subtract the Mean and square the result. Then work out the average of those squared differences.
