Answer:
The coordinates of point k are (-2.8,-3)
Step-by-step explanation:
we shall use the internal division formula to find the coordinates of point k
Mathematically, the formula is as follows;
Let’s call the coordinates of point k (x,y)
(x , y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)
From the question;
m = 1 , n = 4
x1 = 4, x2= -2
y1 = -7 , y2 = 13
Substituting these values in the equation, we have the following;
1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)
(-2+16)/5, (13 -28)/5
= -14/5, -15/5
= (-2.8, -3)
find the volume of the cone:
1/3 pi r squared × h
1/3 pi (1) squared × 2
= 2/3 Pi (feet cubed)
find the volume of the cylinder:
pi r squared × h
(the radius is 1 foot because its half the diameter which is 2 feet)
pi (1) squared × 2
= 2 Pi (feet cubed)
2 Pi is÷ 2/3 Pi
= 3
therefore it will take 3 cones of liquid to fill a cylinder with a diameter of 2 and height of 2
Answer:
4
Step-by-step explanation:
I think I'm not that sure
Answer:
<u><em>Question 10.</em></u>
Length of the side of the square = 
By Pythagoras' Theorem,
Hypotenuse = 
(H > 0)
= 29 m
Ans: 29 m
<u><em>Question 11.</em></u>
By Pythagoras' Theorem,
Length of longer side of 42 km = 42- 
(L > 0)
= 32.050 km (5 s.f.)
By Pythagoras' Theorem,
Length of the unknown side = 
(L > 0)
= 35.4 km (3 s.f.)
Ans: 35 km
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