Answer:
954.56 cm²
Step-by-step explanation:
Firstly i would calculate the circumference of the circles on top of the cylinders:
Circumference of circles = 
or 
d = diameter
r = radius
I will use
circumference = 2 x 3.14 x 8 = 50.24 cm
⇒ This would help me to find out the surface area of the side of the cylinder
50.24 x 11 = 552.64 cm²
⇒ This is the surface are of the sides
Now we have to find the are of the two circles on the top and the bottom:
Area of a circle = 
d = diameter
3.14 x 8² = 200.96
⇒ There are two circles so you would times 200.96 by 2
200.96 x 2 = 401.92
Add all the values up:
401.92 + 552.64 = 954.56 cm²
I hope this helps!
Answer:
axy under
Step-by-step explanation:
Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
Cotx = cosx/sinx
cscx = 1/sinx
If we plug these into your equation we get:
(cosx/sinx)/(1/sinx) - 1
Dividing by a number is the same as multiplying by its reciprocal so it can be rewritten as:
(cosx/sinx)(sinx) - 1
The two sinx's cancel each other out so we end up with cosx - 1
Answer:
11 pizzas, 5/7 left
Step-by-step explanation:
to find out how much pizza is needed, multiply 4/7 by 18 to get 72/7. round up to get 77/7 or 11 pizzas. 77/7 - 72/7= 5/7 so there will be 5/7 left over
