Please Help! When Mario has to leave the house for a while, he tethers his mischievous puppy to the corner of a 12 ft-by-8 ft shed in the middle of his large backyard. The tether is 18 feet long. Which description fits the boundary of the locus of points in the yard that the puppy can reach?
A. semicircles of radii 18 ft, 10 ft, and 6 ft
B. a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft
C. semicircles of radii 18 ft, 12 ft, and 8 ft
D. a three-quarter circle of radius 18 ft, quarter circles of radii 12 ft and 8 ft
Answers
Answer:
B. a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft
Step-by-step explanation:
A diagram can be a useful aid to answering this question. At one corner of the shed, 8 ft of rope is no longer available, so the quarter circle has a radius of 18-8 = 10 ft. (That side of the shed is 12 ft, so the area is only a quarter circle.)
At the other corner of the shed, 12 ft of rope is no longer available, so the quarter circle has a radius of 18-12 = 6 ft. (That side of the shed is 8 ft, so the area is only a quarter circle.)
In the attached diagram, the 3/4 circle with radius 18 ft is shown red, and the quarter circles are shown in green.
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Answers
(4)(4)+(8)(−2)+(3)(−2)+6=
16+(8)(−2)+(3)(−2)+6=
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s+1/4 = 4/8
s=
Answers
Answer:
8 = 16
Step-by-step explanation:
1/4 = 4 /8
Cross multiply:
1 * 8 = 4 * 4
Simplifying
1 * 8 = 4 * 4
Multiply 1 * 8
8 = 4 * 4
Multiply 4 * 4
8 = 16
Solving
8 = 16
Answers
The simplified expression is: (3/2) x⁵ * (1/y⁴), or (3x⁵) /(2y⁴).
What is indices?
Indices, in mathematics, refer to the small numbers or symbols (exponents) used to indicate the power or exponent to which a number is raised, often in the context of exponents or powers.
To divide the expression (21x⁶y⁵) by (14x¹y⁹), simplify by subtracting the exponents of like terms:
(21x⁶y⁵) / (14x¹y⁹) = (21/14) * (x⁶⁻¹ * (y⁵⁻⁹))
Now simplify each part:
121/14) simplifies to (3/2)
x⁶⁻¹ simplifies to x⁵
3. y⁵⁻⁹ simplifies to y⁻⁴
So, the simplified expression is
(3/2) x⁵ * (1/y⁴), or (3x⁵) / (2y⁴).
Learn more about indices here
#SPJ3
Answer:
Step-by-step explanation:
Hope this helps!
Answers
Answer:
x=-8, 8
Step-by-step explanation:
–|x| = –8
To solve this absolute value inequality we remove the negative sign on the left hand side
Divide both sides by
If then
Answers
Answer:
The maximum cost of each book will be $14 that Larry can buy.
Step-by-step explanation:
Given:
Gift card = $30
Maximum amount can be spend = $50
number of books need to buy = 5
We need to find maximum cost of each book.
Solution:
Let the cost of each book be 'x'.
So we can say that;
Sum of money of gift card and maximum money he can spend should be greater than or equal to number of books need to buy multiplied by cost of each book.
framing in equation form we get;
Dividing both side by 5 we get;
Hence The maximum cost of each book will be $14 that Larry can buy.