Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
if he can walk 0.5 miles in 6 minutes at a constant rate then you can say that he can walk 1 mile in 12 minutes.
therefore he can walk 1/12 mile ever one minute
so m=1/12t
Answer:
<u>A. Mean = 402.5</u>
<u>B. Variance = 77,556.25</u>
<u>C. Standard Deviation = 278.49</u>
Step-by-step explanation:
Let's calculate the mean, variance and standard deviation of the set of numbers given:
A. Mean = (45 + 340 + 400 + 825)/4 = 1,610/4 =<u> 402.5</u>
B. Variance [(45 - 402.5)² + (340 - 402.5)² + (400 - 402.5)² + (825 - 402.5)²]/4 = [(127,806.25 + 3,906.25 +6.25 + 178,506.25/4 =<u> </u><u>77,556.25</u>
C. Standard Deviation = √Variance = √77,556.25 =<u> 278.49</u>
Answer:
Area = 342
, Perimeter = 22.79 cm
Step-by-step explanation:
First, divide the shape into 3:
An arc, a square, and a triangle.
Dimensions of shapes:
Arc:
Degree = 40°
Arms = 4 cm
Square:
All sides are 4 cm
Triangle:
base = 3 cm
height = 4 cm
hypotenuse = 5 cm
To get perimeter:
Arc length =
(4 is the arm length ) = 2.7925 cm
Arc arm = 4 cm
Square sides (only two are outside) = 2 * 4 = 8 cm
Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm
So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm
To get area:
Arc area (the pizza shape) =
(4 is the arm length) = 320 
Square area = side * side = 4 * 4 = 16 
Triangle = (1/2) * base* height = (1/2) * 3 * 4 = 6
So total area is 320 + 16 + 6 = 342
Answer:
Step-by-step explanation:
The foci are horizontally aligned.
horizontal ellipse:
(x-h)²/a² + (y-k)²/b² = 1
center (h,k)
vertices (h±a,k)
length of minor axis = 2b
foci (h±c,k), c² = a²-b²
Apply your data and solve for h, k, a, and b.
foci (±3√19, 6)
h = 0
k = 6
Length of minor axis = 2b = 10
b = 5
foci (h±3√19, 6)
c = 3√19
c³ = a² - b²
171 = a² - 25
a² = 196
x²/196 + (y-6)²/25 = 1