Answer:
The length of the shortest side is 18 ft
The length of the second side is 21 ft
The length of the third side is 33 ft
Step-by-step explanation:
Let
x ------> the length of the shortest side
y -----> the length of the second side
z ----> the length of the third side
we know that
The perimeter of the deck is
P=x+y+z
P=72 ft
so
72=x+y+z ------> equation A
y=x+3 ------> equation B
z=2x-3 -----> equation C
substitute equation B and equation C in equation A and solve for x
72=x+(x+3)+(2x-3)
72=4x
x=72/4
x=18 ft
Find the value of y
y=18+3=21 ft
Find the value of z
z=2(18)-3=33 ft
therefore
The length of the shortest side is 18 ft
The length of the second side is 21 ft
The length of the third side is 33 ft
<h3>Answer: B. 154 square meters</h3>
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Work Shown:
C = 44 is the circumference
in general, the circumference of a circle is
C = 2*pi*r
Plug in C = 44 and solve for r.
C = 2*pi*r
44 = 2*pi*r
2*pi*r = 44
r = 44/(2pi)
r = 7.0028175 which is approximate
--------------------
Now plug this into the formula for the area of a circle
A = pi*r^2
A = pi*(7.0028175)^2
A = 154.061985
A = 154 rounding to the nearest whole number
3/16 x 4/21 simplify to 7
Answer:
3072,12288, 49152
Step-by-step explanation:
Multiply the result of each number by 4.
<span>Answer: Option D. 1/12
We have:
3 Necklaces (red, green, and gold)
2 Bracelets (red and black)
6 hats (silver, yellow, green, gold, black, and white)
The number total of combinations is:
C=3x2x6→C=36 possible combinations
What is the probability of Suzy choosing a red bracelet and silver hat?
Possible combinations with a red bracelet and silver hat:
C1=1 (red bracelet) x 1 (silver hat) x 3 (necklaces: red, green, and gold)
C1=3 possible combinations with a red bracelet and silver hat
Probability of Suzy choosing a red bracelet and silver hat: P=C1/C
P=3/36
Simplifying the fraction dividing the numerator and the denominator by 3:
P=(3/3) / (36/3)
P=1/12
Answer: The probability of Suzy choosing a red bracelet and silver hat is 1/12</span>