Part A:
3.14 X (4)^2 X 3/3
= 50.26548246
Answer:
The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.
Step-by-step explanation:
We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
cos X = (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)
= 0.18310
X = 79.45 degrees.
We can now find another angle using the sine rule:
8.6 / sin 79.45 = 7.5/ sin Y
sin Y = (7.5 * sin 79.45) / 8.6
Y = 59.02 degrees
So the third angle = 180 - 79.45 - 59.02
= 41.53 degrees.
Answer:
there is not enough information because x and 55 are parrallel, not congruent.
Step-by-step explanation:
Answer:
<em>the</em><em> </em><em>perim</em><em>eter</em><em>=</em><em> </em><em>1</em><em>0</em><em>+</em><em>4</em><em>W</em><em>.</em>
<em>where</em><em> </em><em>W</em><em>=</em><em> </em><em>the</em><em> </em><em>wid</em><em>th</em><em>.</em>
Step-by-step explanation:
mathematically, perimeter (p)= 2L +2W
where L= length.and W=width
<em>from</em><em> </em><em>the</em><em> </em><em>exp</em><em>ression</em><em> </em><em>;</em><em>length is 5 more than the width</em>
<em>it</em><em> </em><em>is</em><em> </em><em>wri</em><em>tten</em><em> </em><em>as</em><em> </em>L = 5+W
<em>sub</em><em>stitute</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>formu</em><em>la</em><em> </em>
P= 2(5+W)+2W
P=10+2W+2W
P=10+4W as the perimeter of the rectangle.
Remark
Study the triangle carefully. It may not be exactly as you have drawn it, but it will work if you just follow the givens.
Givens
AC = 2
AB = 1
BC = sqrt(3)
Step One
Find Cos C
Cos(C) = adjacent / Hypotenuse
Cos(C) = BC / AB
Cos(C) = sqrt(3)/2
Step Two
Find Sin(A)
Sin(A) = opposite / hypotenuse
Sin(A) = AB / AC
Sin(A) = 1/2
Step Three
Find Cos(C) * Sin(A)
Cos(C) * Sin(A) = sqrt(3)/2 * 1/2 = sqrt(3) / 4 <<<< Answer
