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Answer:
1. C = 29.52 inches A = 69.63 square inches
2. C = 28.26 inches A = 63.59 square inches
3. Each side of the lawn is 13 yards.
4. 7 is a rational number (), a whole number, and an integer.
5. x = 16
6. h = 12.4
Step-by-step explanation:
1.
π = 3.14
The formula for the circumference of a circle that uses radius is C = 2πr.
C = 2 × 3.14 × 4.7 --- plug in known info
C = 29.516 inches --- solve
C = 29.52 inches
The formula for the area of a circle that uses radius is A = πr².
A = 3.14 × 4.7² --- plug in known info
A = 3.14 × 22.09 --- solve
A = 69.3626 square inches --- solve
A = 69.63 square inches
2.
The formula for the circumference of a circle that uses diameter is C = πd.
C = 3.14 × 9 --- plug in known info
C = 28.26 inches --- solve
To solve for area with the diameter, divide it by 2 and use the radius area formula.
r = 4.5
A = πr²
A = 3.14 × 4.5² --- plug in known info
A = 3.14 × 20.25 --- solve
A = 63.585 square inches --- solve
A = 63.59 square inches
3.
Because the lawn is square, the length and width of the lawn are equal.
Let x = the length and width.
x × x = 169 --- l × w = area of rectangle
x² = 169 --- x × x is the same as x²
x = 13 --- square root both sides to get rid of square on x
Each side of the lawn is 13 yards.
4.
√49 = 7
Rational number: a number that can be expressed as a simple fraction of 2 integers, 7 =
Irrational number: a number that cannot be expressed as a simple fraction of 2 integers, √2
Whole number: All natural numbers, including 0, up to infinity, 0, 1, 2, 3, 4, 5...
Integer: All whole numbers and their negative counterparts -4, -3, -2, -1, 0, 1, 2, 3, 4…
7 is a rational number (), a whole number, and an integer.
5.
We can solve for x using the Pythagorean theorem: If a triangle is right, a² + b² = c².
12² + x² = 20² --- plug in known info
144 + x² = 400 --- solve
x² = 256 --- subtract 144 from both sides
x = 16 --- square root both sides
6.
Same as problem 5, we will use the Pythagorean theorem to solve.
3² + 12² = h² --- plug in known info
9 + 144 = h² --- solve
153 = h² --- solve
h = 12.36931688 --- square root both sides
h = 12.4 --- round to nearest 10th
Answer: Option c.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the equation:
Solve for "y" in order to write in Slope-Intercept form:
Now you can identify that that the slope and the y-intercept are:
A posive slope means that the the line moves upward from left to right.
With this information, you can conclude that the the graph that best represents the given equation is the graph shown in the Option c.
Answer:
The number of students who liked the book was 64.
Step-by-step explanation:
After reading a book for English class, 100 students were asked whether or not they enjoyed it.
Now, given that nine twenty-fifths of the class did not like the book.
So, of the whole class did not like the book.
Then, the fraction of the class who did like the book was .
Therefore, the number of students who liked the book was . (Answer)