Answer:
Step-by-step explanation:
Given
Tower one = 15.6 cm
Tower two = 18.3 cm
Tower 3 = 13.9 cm.
Required:
Height of the 4th tower
Represent a cube by X; a cylinder by Y and a hexagonal prism by Z
Tower one, a cube with a hexagonal prism = X + Z = 15.6
Tower two, a cube with a cylinder = X + Y = 18.3
Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9
----- Equation 1
----- Equation 2
----- Equation 3
Subtract equation 1 from 2
---- Equation 4
Add Equation 4 to Equation 3
Divide both sides by 2
Substitute in Equation 2 and 3
----- Equation 2
Subtract 8.3 from both sides
----- Equation 3
Subtract 8.3 from both sides
So, we have that
The question states that the 4th tower is made up of the three shapes;
This implies that;
The height of the 4th tower is 23.9cm
Answer:
SSS postulate because three sides of a triangle are are congruent
Answer:
<u>58 units</u>
Step-by-step explanation:
I decided that one side is 37 units and another is 2 units, since that would make the area 37 units. (you can also use 74 units and 1 unit)
Then I multiplied 37 by 5/4, which equals a new length of 46.25 units, and I also multiplied 2 by 5/4, which equals a new length of 2.5 units.
Finally, I solve for the area of the triangle:
1/2(46.25 x 2.5) ≈ <u>58 units</u> (rounded to the nearest whole number)
<span>arc length = circumference • [central angle (degrees) ÷ 360]
Solving this equation for circumference:
</span>
<span>circumference = arc length / (central angle / 360)
</span><span>circumference = 12 / (85/360)
</span>circumference = 12 / <span><span>0.2361111111
</span>
</span>
<span>circumference =
</span>
<span>
<span>
<span>
50.8235294118
</span>
</span>
</span>
Source:
http://www.1728.org/radians.htm
Answer:
Profit
7.50
4.50
Loss
-3.50
-6.00
Step-by-step explanation:
Here, we want to write each profit as a positive number and each loss as a negative number
thus, we have that;
Profit;
7.50
4.50
Loss;
-3.50
-6.00
