Answer:
51.96 mm² approximately
Step-by-step explanation:
the first thing you should know is that the area of a rectangle is base*height sin of (
the included angle i.e
Arectangle= bh sin90° since all angles of a rectangle are equal then the included angle is 90°
<em>Arectangle= bh sin90° since sin90 is 1 we simply use the equation bh because multiplying bh by one is bh. bearing this in mind , the area of the parallelogram can be calculated as:</em>
Aparallelogram= bh sin of sin of the included angle
Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°
Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866
Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866Aparallelogram=51.96 mm² approximately
Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:
The answer is 
units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula 
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:
<em>rounding to the nearest whole number, it is </em>151 units^2
Answer:
Iliana will have the most money, with a total of $580
Step-by-step explanation:
We can find the amount of money that each one will have using the formulas of interest:
For Iliana and Joann, simple interest: Total money = P + P*r*t
For Cyndy, compound interest: Total money = P*(1+r)^t
So, using the time of four years, we can calculate the total money of each one:
Iliana: P = 500 and r = 0.04:
Total money = 500 + 500*0.04*4 = $580
Joann: P = 515 and r = 0.03:
Total money = 515 + 515*0.03*4 = $576.8
Cyndy: P = 500 and r = 0.035:
Total money = 500*(1+0.035)^4 = $573.7615
So Iliana will have the most money, with a total of $580
The last one HOPE THIS HELPS!!!!
<span>A. The angles are neither complementary nor supplementary.
As their sum is neither equal to 90 nor 180, they are none of them
Hope this helps!</span>
