I NEED HELP PLEASE! Jenny's birthday cake is circular and has a 30 cm radius. Her slice creates an arc of with a central angle of 120 degrees. What is the area of Jenny's slice of cake? Give your answer in terms of pi. PLEASE HELP HELP HELP!!!!
Answers
When a circle (i.e. the cake) is cut through the radius, the parts formed are referred to as the sectors of the circle. The area of the slice in terms of is
Given that
--- the radius
--- central angle
The area of the slice is calculated using the area of a sector, as follows:
So, we have:
Hence, the area of the slice of cake is
Learn more about area of sectors at:
Related Questions
A container in the shape of a cylinder has a volume of 60 cubic meters. Its base has an area of 15 square units. What is the height of the container?options 3m2m4m5m
Michael estimated his mass as 8 kilograms.Is his estimate reasonable?Justify your answer.
In a school, the ratio of musicians to athletes is 3:1. which statement is true13 of the total students are musicians.If there are 18 people, then 12 of them are athletes.If there are 3 athletes, then there are 12 musicians.The number of musicians is 3 times the number of athletes
When two musical notes are a “sixth” apart, the frequency of the lower note is 3/5 the frequency of the higher note. Using f as the frequency of the higher note, write an expression for the frequency of the lower note. HELP!1. f - 2/52. 3/5 f3. 2/5 f4. 3/5 + f
Answers
The solutions for the given problems we have:
1) The solution of the inequality is:
x ≤ 2
2) The absolute value equation has two solutions:
z= 2
z = -12
3) The correct matches are:
5y + 2 = 5y + 8 this has no solutions
2*(y + 4) = 2y + 8 this has infinite solutions
5y + 2 = 2y + 8 This has a single solution.
Here, we have,
Remember that solving means to isolate the variable in one side of the expression.
1) We have the inequality:
-4x + 17 ≥ 9
-4x ≥ 9 - 17
x ≤ -8/-4
x ≤ 2
This is the solution of the inequality.
2) We have the absolute value function:
|5 + z| + 3 = 10
|5 + z| = 10 - 3 = 7
We can decompose this into:
5 + z = 7
5 + z = -7
Then the two solutions are:
z = 7 - 5 = 2
z = -7 - 5 = -12
3) The correct matches here are:
5y + 2 = 5y + 8 this has no solutions, these are parallel lines.
2*(y + 4) = 2y + 8 this has infinite solutions (all real numbers).
5y + 2 = 2y + 8 This has a single solution.
Learn more about inequalities:
#SPJ1
complete question:
HELP ASAP 30 POINTS 9TH GRADE MATH. WILL GIVE BRAINIEST IF CORRECT
Solve.
Question 1.
-4x + 17 ≥ 9.
Question 2.
| 5 + z | + 3 = 10.
Question 3.
Match to the correct one
5y + 2 = 5y + 8. 1. All real numbers
2 (y + 4) = 2y + 8. 2. No solutions
5y + 2 = 2y + 8 3. Infinity many solutions.
Y-x=5
Answers
(2) y - x = 5 ⇒ y = x + 5
subtitute (2) to (1)
(x + 5)² + x² = 53 |use (a + b)² = a² + 2ab + b²
x² + 2x·5 + 5² + x² = 53
2x² + 10x + 25 = 53 |subtract 53 from both sides
2x² + 10x - 28 =0 |divide both sides by 2
x² + 5x - 14 = 0
x² - 2x+ 7x - 14 = 0
x(x - 2) + 7(x - 2) = 0
(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7
subtitute the values of y to (2)
for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3
Answer: x = 2 and y = 7 or x = -7 and y = 3
Answers
1/tanx = 1/(sinx/cosx) = cosx/sinx = cotx
Answers
The answer is, the measure of angle 1 is 140 degrees.
Answers
Answers
Answer:
f^-1(x) = (x - 1)/2
Step-by-step explanation:
f(x) = 2x + 1
y = 2x + 1
x = 2y + 1
2y + 1 = x
2y = x - 1
y = (x - 1)/2
f^-1(x) = (x - 1)/2