if the radius is 14cmand The perimeter of the sector is 57.32cm.
what is the size of the angle?
Answer:
120°
Step-by-step explanation:
A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:
Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r
Where θ is the angle which forms the sector and r is the radius of the circle.
Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:
Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r
[tex]57.32=\frac{\theta}{360} *2\pi *14+2(14)\\\\57.32-28=\frac{\theta}{360} *2\pi *14\\\\29.32=\frac{\theta}{360} *2\pi *14\\\\ \frac{\theta}{360}=\frac{29.32}{2\pi *14} \\\\\frac{\theta}{360}=0.33\\\\\theta=120^o[/tex]
The value of (a–1)+92 - +24,5 " when a= 2 and b=-1
Answer:
256271
Step-by-step explanation:
6165253-6728282-289292
1/3 divided by 2/5 please and thank you
Answer:
5/6 is your answer to this question,
According to the United States Census Bureau. Just about 5 1.5% of the adults in America are women. What would you say is the probability that the next adult you run into is female? What's the probability of that person being male?
Answer:
[tex]P(F) = 0.515[/tex]
[tex]P(M) = 0.485[/tex]
Step-by-step explanation:
Given
[tex]Female = 51.5\%[/tex]
Solving (a): Probability of running into a female
To do this, we simply convert the given proportion to decimal
[tex]P(F) = 51.5\%[/tex]
Convert to fraction
[tex]P(F) = \frac{51.5}{100}[/tex]
[tex]P(F) = 0.515[/tex]
Solving (b): Probability of running into a male
Represent this with [tex]P(M)[/tex]
To solve this, we apply the concept of probability complement which states that:
[tex]p + q = 1[/tex]
In this case:
[tex]P(F) + P(M) = 1[/tex]
Substitute 0.515 for P(F)
[tex]0.515 + P(M) = 1[/tex]
Subtract 0.515 from both sides
[tex]0.515-0.515 + P(M) = 1 - 0.515[/tex]
[tex]P(M) = 1 - 0.515[/tex]
[tex]P(M) = 0.485[/tex]
Andre cooks 16 cups of rice for a contest. He shares the rice equally among 7 judges.
How much rice will each judge get?
A number is divided by 2. Then 4 is added to the quotient. Next, the sum of these numbers is multiplied by 3. The result is 21. Find the number.
I need the answer ASAP
Answer:
The number is 6.
Step-by-step explanation:
Work the question backwards.
21÷3=7
7-4=3
3×2=6
And if you need proof.
6÷2=3
3+4=7
7×3=21
The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class.
What is the total number of students in Ms. Cunningham’s class?
Answer:
30
Step-by-step explanation:
18 / 3 = 6
6 x 2 = 12
18 + 12 = 30
X – y=11
3x + 10y= -6
Answer:
(8, - 3 )
Step-by-step explanation:
Given the 2 equations
x - y = 11 → (1)
3x + 10y = - 6 → (2)
Multiplying (1) by 10 and adding to (2) will eliminate the y- term
10x - 10y = 110 → (3)
Add (2) and (3) term by term to eliminate y
13x + 0 = 104
13x = 104 ( divide both sides by 13 )
x = 8
Substitute x = 8 into either of the 2 equations and solve for y
Substituting into (2)
3(8) + 10y = - 6
24 + 10y = - 6 ( subtract 24 from both sides )
10y = - 30 ( divide both sides by 10 )
y = - 3
solution is (8, - 3 )
I will give anyone the brainliest correctly
Step-by-step explanation:
2% 0.2 1/3 0.8 3
these are the numebrs after being converted
0.02 0.2 0.3333 0.8 3
Determine the measure of the seventh interior angle of a heptagon (a seven-sided polygon) if you know the other six measures are 135
129 129 127 131", and 124
Answer:
125 deg
Step-by-step explanation:
(n - 2)180
n = 7
(7 - 2)180 = 5(180) = 900
900 - 135 - 129 - 129 - 127 - 131 - 124 = 125
Answer: 125 deg
Answer: the answer is 125
Step-by-step explanation:
Simplify each algebraic expression.
2a +3(a +7)–(3a +3)
Answer:
2a+18Step-by-step explanation:
[tex]2a +3(a +7)-(3a +3)\\\\Expand\: 3(a +7) :\\3a+21\\\\=2a+3a+21-\left(3a+3\right)\\\\-(3a+3)=-3a-3\\\\=2a+3a+21-3a-3\\\\Simplify\\\\=2a+18[/tex]
Pls help asap!!!
Solve for x . 2x=y
please help ........
Answer:
x = 8
Step-by-step explanation:
Two tangent segments to a circle from the same external point are congruent, thus
WP = WQ , that is
3x - 6 = x + 10 ( subtract x from both sides )
2x - 6 = 10 ( add 6 to both sides )
2x = 16 ( divide both sides by 2 )
x = 8
You bought an item for $24.00, but sold it for a 30% mark up in your store. What price did you sell this item for?
need help asp pls The 8 students in Mrs. Howard's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
14, 11, 16, 10, 6, 5, 5, 7
Answer:
what's the question thougu
Solve for v
when
d = 10 and
t=5
Can someone help me please
Answer:
(-4,2)
Step-by-step explanation:
The line going horizontal is the X-axis. And they line going up and down is the y-axis. The way you write the location of a point is (X,Y). Hope this helps!!
What is a real solution and examples of real solutions
Answer:
A real solution in algebra is simply a solution to an equation that is a real number.
for example
If y>0, then x2 = y has two real solution or roots. x = ±√y
If y=0, then x2 = y has one real solution.
PLEASE ANSWER QUICK!!!
Answer:
7.2 or 36/5
Step-by-step explanation:
Find the volume of the figure. Round to the nearest hundredth if needed.
Answer:
4,914 i think, when rounding it, it will be 4,920
There are 17 adult dogs and 8 puppies at the dog park. Which statement is
correct?**
a. The ratio of adult dogs to puppies at the park is 8:17.
b. The ratio of adult dogs to all dogs at the park is 17:8.
c. The ratio of puppies to adult dogs at the park is 25:8.
d. The ratio of puppies to all dogs at the park is 8:25.
Answer:
B?!
I'm so sorry if I am wrong !
Step-by-step explanation:
Have A Wonderful Day !!
Describe the translation
Answer:
D
Step-by-step explanation:
-2 --> 2 = +4
5 --> - 3 = -8
<4, -8>
HELP!!!!! Suppose the distance between two cities on a map is 5.2in the scale is 1 in =80miles what's the actual distance between the cities.
A) 408 miles
B) 400 miles
C) 424 miles
D) 416 miles
Answer:
80*5.2= 416
D: 416 miles
identify the function shown in this graph
Answer: B
Step-by-step explanation:
Since the line is going down, the slope has to be negative so it’s B
Answer:
B!
Step-by-step explanation:
hope this helps! <3
Which statement correctly compares 1/3 and 3/8????
Which of the following represents the factorization of the binomial below?
x² - 121
O A. (x-11)(x-11)
B. (x +11)(x+11)
C. (x +11)(x-11)
D. (X)(x-121)
Answer:
C. (x + 11) (x - 11)
Step-by-step explanation:
x² - 121
= x² - 11²
= (x + 11) (x - 11) (Difference of two squares)
SOMEONE PLEASE HELP MEEE!!!!!!!!!!!
Answer:
81.6814 ft
Step-by-step explanation:
A car wash can wash four cars in one hour. The table shows the total number of cars washed. How long will it take to wash 24 cars?
Answer:
6 Hours
Step-by-step explanation:
Q. A car wash can wash four cars in one hour. The table shows the total number of cars washed. How long will it take to wash 24 cars?
A. 4 Cars = 1 Hour
8 Cars = 2 Hours
12 Cars = 3 Hours
16 Cars = 4 Hours
20 Cars = 5 Hours
24 Cars = 6 Hours
Hope this helps
which of the following does not describe a relation that is a function? (please help i will give u brainliest)
Answer:
answer is a but please mark me brainliest if I m correct
HELP THIS IS DUE TODAY
A teacher surveys a sample of students from lake middle school. He asks the students where they’d like to go for a field trip. He records the results:
80 choose the aquarium
60 choose the science center
30 choose the planetarium
40 choose the farm
2. What is the relative frequency of a student choosing the aquarium? Give your answer as a decimal rounded to the nearest hundredth.
Answer:
210 students
Step-by-step explanation:
80 students chose the aquarium.
60 students chose the science center.
30 students chose the planetarium.
40 students chose the farm.
The students can't vote for more than one place, so you just add all the numbers together.
80 + 60 + 30 + 40 = 210 students