Answer:
The answer is
units squared.
Step-by-step explanation:
If we find the diameter, we can find the radius by halving the diameter.
We can find the diameter by using the endpoints of the diameter.
The distance formula will give us the length between (3,1) and (9,9).
The distance formula is
.
The distance between the
's is 9-3=6.
The distance between the
's is 9-1=8.
The distance between the points is given by
.
The radius is therefore
.
We are asked to find the area of this circle.
The formula for finding the area of a circle is
.
Since the radius is
, then the area in terms of
,(pi), is
.
The answer is
units squared.
The function that best fits the graph points is; B: y = 65.0778 * 772.9605ˣ
<h3>How to Interpret Function Graphs?</h3>
From the given graph, we can see that is parabolic form and as such we can say it is an exponential function.
Looking at the options, only option B is in exponential form and as such, we will take one point on the graph to check if this is the right function.
Let us use the coordinate (0.9, 26000)
y = 65.0778 * 772.9605ˣ
y = 65.0778 * 772.9605^(0.9)
y = 25837.76
This is very close and as such is the correct option.
Read more about Function Graphs at; brainly.com/question/14323743
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Answer: 430 rounded so ur answer is 400
Step-by-step explanation:
you do 86 times 5 and you get 430 the you round it to the nearest hundred and you get 400 as ur answer
The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin.
<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>
<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>
<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>
<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>
<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>
<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>
<span>= (5/2)∫∫ [θ=0,2π, r=0,3] { 81r³ − 18r⁵ + r⁷} drdθ </span>
<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>
<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
We calculate the floor area of the kitchen:
A = (22) * (16)
A = 352 feet ^ 2
We consider the following conversion:
1 foot = 12 inches.
Applying the conversion we have:
A = 352 * (12/1) ^ 2
A = 50688 in ^ 2
We calculate the area of each tile:
A = (16) * (16)
A = 256 in ^ 2
Then, the number of tiles is given by:
N = (50688) / (256)
N = 198
Answer:
He needs to buy 198 tiles