Answer:
area 4.5
Step-by-step explanation:
C has the largest Area. It's area is 4.5
hope this helps
The given polyn. is not in std. form. To answer this question, we need to perform the indicated operations (mult., addn., subtrn.) first and then arrange the terms of this poly in descending order by powers of x:
P(x) = x(160 - x) - (100x + 500)
When this work has been done, we get P(x) = 160x - x^2 - 100x - 500, or
P(x) = -x^2 + 60x - 500
So, you see, the last term is -500. This means that if x = 0, not only is there no profit, but the company is "in the hole" for $500.
Answer:
66.91 km^2
Step-by-step explanation:
This answer will be long:
Interior angles of hexagon sum to (4)(180) = 720 each is 120 degrees
each side is 24/6 = 4 km
area of hexagon = 12 * 1/2 2 * (2 tan60) =<u> 41.5692 km ^2 </u>
L triangle 5 = hypot leg1 = 4 leg2 = 3 area = 1/2 * 3 * 4 =<u> 6 km^2</u>
TOP triangle is 4 = hypot leg1 = 3.464 leg2 = 2
area = 1/2 * 3.464 * 2 = <u>3.464 km^2</u>
R triangle two legs = 4 area = 1/2 * 4 x 4 =<u> 8 km^2 </u>
BOTTOM triangle two sides = 4 use sin rule sin40/4 = sin 100/x
third side = 4/sin 40 * sin 100 = 6.1284 km
semi perimter = ( 4 + 4 + 6.1284) / 2 = 7.0641 km
Use Herron's rule for area =
sqrt ( 7.0641 (7.0641-4)(7.0641-4)(7.0641-6.1284) ) =<u> 7.878 km^2 </u>
<u> add all of the areas to get 66.91 km^2 (IF I made no math errors!) </u>
The ratio of the angles of a triangle is 5: 2/3: 1 Then the measure of all three angles are 135, 18, 27 respectively.
<u>Solution:</u>
Given that, the ratio of the angles of a triangle is 
We have to find what are the measures of all three angles.
Let us suppose, "x" is the highest common factor of three angles.
Then, the three angles will be 
Now, we know that, sum of angles of a triangle equals to 180
So, the three angles will be,
Hence, the angles of the triangle are 135, 18, 27 respectively.
