Don't know how to do the math
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At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m. Find the exact area of the larger circleFind the exact area of the smaller circle.Write an expression to find the exact area of the sidewalk (shaded portion).Find the approximate area of the sidewalk. Use 3.14 to approximate π. Answer:Find the exact area of the larger circle. Show your work. (1 point)A= N x 11 2 A = n? Find the exact area of the smaller circle. Show your work. (1 point)A= n 9 2 A=n?Write an expression to find the exact area of the sidewalk (shaded portion). Show your work. (2 points) 11 2 – 9 2 x nFind the approximate area of the sidewalk. Use 3.14 to approximate π. Show your work. (1 point) 11 2 x 3.14 – 9 2 x 3.14=
Please explain how you got your answers! (: Solve the problem by using the counting principle. A. Drapery is sold in 4 different fabrics. Each fabric comes in 13 different patterns. Each pattern is offered in 9 different colors. How many fabric-pattern-color combinations are there? B. A shelf hold 3 novels, 2 biographies, and 1 history book. Two students in turn choose a book at random. What is the probability that the student choose the following? both novels A. 1/4 B. 1/2 C. 1/5 D. 1/3 A shelf hold 3 novels, 2 biographies, and 1 history book. Two students in turn choose a book at random. What is the probability that the student choose the following? both biographies A. 1/15 B. 1/20 C. 1/5 D. 1/3 A shelf hold 3 novels, 2 biographies, and 1 history book. Two students in turn choose a book at random. What is the probability that the student choose the following? a history, then a novel A. 1/2 B. 1/5 C. 1/10 D. 1/15
Factor completely 2x2 + 2x − 12.
Mary Moneypenny went to her bank each week and opened a club account. She deposited $21.75 per time period. If she made 12 deposits before interest was credited, how much would she have deposited before interest was credited?
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Answer:
2(√5 + √20) should be this
Step-by-step explanation:
A graph of a function. The function graph goes through point negative 2, negative 3 and point negative 3, 0.
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if the point (-2,-3) is on there
x=-2
y=-3
y=-3
B.Lana invested funds for a longer time period.
C.Lana’s account had a higher interest rate.
D.Lana’s account earned compound interest; Ron’s account earned simple interest.
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Answer the following questions.
How many points was each part worth?
points
How many questions did Part A have?
questions
How many questions did Part B have?
questions
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Answer:
1. How many points was each part worth?
- 12 points
2. How many questions did part A have?
- 2 questions
3. How many questions did Part B have?
- 3 questions
Step-by-step explanation:
We can set up our equation like this:
6x = 4y
In the above equation, x is representing the number of true/false questions and y is representing the nymber of multiple choice questions.
Now, the problem tells us that they want the least number of points possible so we know we need to use low numbers.
Since 6 is higher than 4, it's easier to go off of there.
6 x 1 = 6 4 is too big to go into 6 so we will move on.
6 x 2 = 12 4 goes into 12 3 times so we can use this.
Now that we've figured this out, we can put it in our equation:
6(2) = 4(3)
In the above equation, we can see that I've put 2 in for x because we multiplied 6 by 2 to get 12. I also put 3 in for y because we multiplied 4 by 3.
Now we can start with the questions:
1. How many points was each part worth?
Each part was worth 12 points because we can multiply 6 by 2 and get 12 or 4 by 3 and get the same thing
2. How many questions did part A have?
Part A had 2 questions because this is what x was when we multiplied by 6
3. How many questions did Part B have?
Part B had 3 questions because this is what y was when we multiplied by 4
Hope this helps!!
Final answer:
Each part is worth 12 points. Part A has 2 questions. Part B has 3 questions.
Explanation:
The problem states that the number of points for Part A is equal to the number of points for Part B, and we need to find the least number of points for which this is possible. Let's represent the number of questions in Part A as x. Since each true/false question is worth 6 points, the total points for Part A will be 6x. Similarly, let's represent the number of questions in Part B as y. Since each multiple choice question is worth 4 points, the total points for Part B will be 4y. To find the least number of points for which the two parts are equal, we need to find the smallest common multiple of 6 and 4.
The prime factorization of 6 is 2 x 3.
The prime factorization of 4 is 2 x 2.
From the prime factorization, we can see that the least common multiple (LCM) of 6 and 4 is 2 x 2 x 3 = 12.
Therefore, each part is worth 12 points.
To find the number of questions in Part A and Part B, we can substitute 12 for the total points in each part and solve for x and y:
6x = 12
x = 2
4y = 12
y = 3
Learn more about Least Common Multiple here:
#SPJ2
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Answer:
The fourth graph.
Step-by-step explanation:
The best way to do this is to first convert the equation to slope-intercept form. Then it is easy to see the slope and y intercept.
-3x + 5y = 15
5y = 3x + 15
y = 3/5x + 3 is slope intercept form.
The slope is 3/5 and the y-intercept is at y = 3.
It is the fourth graph.
B)72 −(1×3)3
C)43 −5×8
D)102 −(5+2)2
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Answer:
d
Step-by-step explanation: