Answer:
a=19.6 inches^2
Step-by-step explanation:
The area of a circle can be found using
a=πr^2
We know the radius is 2.5, so we can substitute it in for r
We can also substitute 3.14 in for π
a=(3.14)*(2.5^2)
a=(3.14)*(6.25)
a=19.625
Round to the nearest tenth
a=19.6 inches^2
Since we know a triangle only has 180 degrees we can say:
99+3x+x+5=180
Then we can solve for x:
4x+104=180
4x=76
x=19
Answer:
Volume of prism = 39 km cubed
Step-by-step explanation:
<u>IMPORTANT FORMULA: Volume of any prism = Area of base * Height </u>
<u />
In this case, <u><em>the area of the base</em></u> means <u><em>the area of the trapezoid. </em></u>
Area of trapezoid = base1+base2/2 * height
Area of trapezoid = 8+5/2 * 1.5
Area of trapezoid = 13/2 * 1.5 = 9.75
We already know that the height of the trapezoidal prism is 4 kilometers.
So, we have all of the values that are needed to correctly fill in the formula.
Volume of the prism = 9.75 * 4 = 39
Answer:
4.71 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the above question,
r = QR = 3 units
θ = angle QRS= 90 = 90°
The length of the arc is calculated as:
2 × π × 3 × 90/360
= 4.7123889804 units
Approximately to the nearest hundredth = 4.71 units
Answer:
60
Step-by-step explanation:
ingressos: 55 x 2 = 110
25 x 2= 50 Tax
110+50=160 total
160-100= 60