Answer:
14.13 ft²
Step-by-step explanation:
The area of a semicircle is

We were given the radius of the semicircle to be: r=3 feet.
We were also asked to use π as 3.14.
We substitute into the formula to get:

This is the same as:

Or


The area of the semicircle is 14.13 ft²
Step-by-step explanation:
If it's a straight line the use formula

m= gradient of line
c = y-intercept
we know that y-intercept is 4 so coordinate is
(0,4)
Equation also passes (2,10)
Use both coordinate to find gradient
m= vertical distance / horizontal distance
= (10-4) / (2-0)
= 3
y = 3x + 4
Answer:
Option 4. Perimeter = 30 units
Step-by-step explanation:
Since the volume of a pentagonal prism is 840 cubic units.
Perpendicular distance between the bases = 14 units
We know volume of a pentagonal prism = Area of base × distance between the bases
840 = Area × 14
Area = 840/14 = 60 square units
Now area of a pentagon




Therefore perimeter of the pentagon = 5×a = 5×5.91 = 29.54 ≈ 30 units
Let x = the unknown angle
sine of an angle is measure of the opposite leg divided by the hypotenuse.
sin x = 10/21
To now solve for x, we so the inverse of sine.
sin⁻¹(10/21) = x
Plug this into your calculator.
x ≈ 28.44 degrees. This would round down to 28 degrees, option B is your answer.
4 boxes of chocolates are needed by the group.
If a group of 3 people are together, needing 8 chocolates each. This means that the total number of chocolates needed is 8 × 3 = 24.
Again, we are told that each box contains 6 chocolates. This means that to get the number of boxes needed, we have to divide the total number of chocolates needed by the number of chocolates per box.
Essentially, 24/6 = 4 boxes of chocolates
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