Answer:
5 times 2=10 well i guess this was a joke right?
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Steps to answering this question
- determine the volume of the 12 basket
volume of a hemisphere = (2/3)πr^3
n = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
radius = 40/2 = 20 cm
volume of one hemisphere = (2/3) x (22/7) x (20^3) = 16,761.90 cm^3
volume of the 12 baskets = 16,761.90 cm^3 x 12 = 201,142.86 cm^
2. convert the litres of compost to cm and multiply by the total bags of compost
1 litre = 1000cm
1 bag of compost = 50 x 1000 = 50,000
4 bags of compost = 50,000 x 4 = 200,000 cm
3. compare which figure is higher. the figure gotten in step 1 or 2
201,142.86 cm^3 is greater than 200,000
there is no enough compost
473691.4
273691.4
This is a really interesting question! One thing that we can notice right off the bat is that each of the circles has the same amount of area swept out of it - namely, the amount swept out by one of the interior angles of the hexagon. Let’s call that interior angle θ. We know that the amount of area swept out in the circle is proportional to the angle swept out - mathematically
θ/360 = a/A
Where “a” is the area swept out by θ, and A is the area of the whole circle, which, given a radius of r, is πr^2. Substituting this in, we have
θ/360 = a/(πr^2)
Solving for “a”:
a = π(r^2)θ/360
So, we have the formula for the area of one of those sectors; all we need to do now is find θ and multiply our result by 6, since we have 6 circles. We can preempt this but just multiplying both sides of the formula by 6:
6a = 6π(r^2)θ/360
Which simplifies to
6a = π(r^2)θ/60
Now, how do we find θ? Let’s look first at the exterior angles of a hexagon. Imagine if you were taking a walk around a hexagon. At each corner, you turn some angle and keep walking. You make 6 turns in all, and in the end, you find yourself right back at the same place you started; you turned 360 degrees in total. On a regular hexagon, you’d turn by the same angle at each corner, which means that each of the six turns is 360/6 = 60 degrees. Since each interior and exterior angle pair up to make 180 degrees (a straight line), we can simply subtract that exterior angle from 180 to find θ, obtaining an angle of 180 - 60 = 120 degrees.
Finally, we substitute θ into our earlier formula to find that
6a = π(r^2)120/60
Or
6a = 2πr^2
So, the area of all six sectors is 2πr^2, or the area of two circles with radii r.
ANSWER:
D. The answers will be different because after distributing the 4 in the first equation it will change the values.
Hope it helps u!
Answer:
The equation of the line is 5x + y + 19 = 0
Step-by-step explanation:
The equation of the line with slope 'm' and given a point (x₁, y₁) passing through it we use the Slope - one - point form which is given by:
y - y₁ = m(x - x₁)
The point given is: (-3, -4) and the slope is -5.
We get the equation of the line to be:
y - (-4) = -5(x - (-3))
⇒ y + 4 = -5(x + 3)
⇒ y + 4 = -5x - 15
⇒ 5x + y + 19 = 0. is the required equation of the line.
