The dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0
<h3>How to determine the dimension</h3>
For the pool, we have that;
Let the width = x feet
Length = (x+8) feet
The pool alongside the walkway gives;
Width = x + 5 + 5 = (x + 10) feet
Length = x + 8 + 5 + 5 = (x + 18) feet
Total area of the pool with walkway = 950 square feet
Note that formula for area is given as
Area = length * width = 950
Equate the length and width
(x+18) × (x + 10) = 950
Using the FOIL method, we have;
(x × x )+ (x × 10) + (18 × x) + (18 × 10) = 950
x² + 10x + 18x + 180 -950 = 0
collect like terms
x² + 28x - 770 = 0
Thus, the dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0
Learn more about area of a rectangle here:
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Answer:551.3212cm³
Step-by-step explanation:
Find the image attached
The volume is made up of a cone, cylinder and a hemisphere
Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere
Get the volume of the cone;
Volume of a cone Vc = 1/3πr²h
r is the base radius = 3.5cm
Height = 10cm
Vc = 1/3π(3.5)²(6)
Vc = 1/3π(12.25)(6)
Vc = 12.25 * 2π
Vc = 24.5π cm³
Get the volume of the cylinder;
Vcy = πr²h
r = 3.5cm
h = 10cm
Vcy = π(3.5)²(10)
Vcy = π(12.25)(10)
Vcy = π(122.5)
Vcy = 122.5π cm³
Get rhe volume of the hemisphere;
Volume of hemisphere = 2/3 πr³
r = 3.5cm
Vh = 2/3 π(3.5)³
Vh = 2/3π(42.875)
Vh = 28.58π cm³
Volume of the shape = VC + Vcy + Vh
Volume of the shape = 24.5π+122.5π+28.58π
Volume of the shape = 175.58π
<em>Volume of the shape = 551.3212cm³</em>
Answer:
The answer would be B)
Step-by-step explanation:
Answer:
The probability is 1/8
Step-by-step explanation:
We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:
Probability = Number of nectarines / Total pieces = 2 / 16
To find the fraction in the simplest form, we divide the numerator and denominator by 2:
Probability = (2/2) / (16/2) = 1/8
Answer:
She needs the starting amount of money to create an equation.
Step-by-step explanation:
The formula that she can use when she has the starting amount or the y-intercept is this one: f(t)=P(1+b)^t.
t=time
b=percent
P=starting value
The formula with the information given is: f(6)=P(1+3.75)^6
Hope this helps!
If not, I am sorry.
