The drawing shows a semicircular window separated into 3 sections of . Red Green Green Approximately how many of the glass are red? The window a diameter of 18 units
Answers
Answer:
[tex] \frac{45π}{2} \: units^{2} \: ≈ \: \boxed{70.7 \: units²} [/tex]
______________________
The correct option is 70.7
Step-by-step explanation:
Since the green and red make a semicircle, the total measure must be 180°.
Since the two green sectors are both 40°.
The red must add up with the green sectors to total 180°.
This means that:
red sector + 80° = 180°.
–80° –80.
red sector = 100°.
To find the area of a sector, we must first understand the area of the circle itself which is πr², where r is the radius.
Since a full circle is 360°.
(360° / 360°)( πr² ) will be the area.
Or in radians: (2π rad / 2π rad)( πr² ).
From here, we can create the formula:
Area of a sector = ( n° / 360° ) ( πr² ). Where n is the measure or the sector in degrees, and r is the radius.
You may also know that the diameter is twice the measure of the radius.
This means that if we are given a diameter of 18 units from the problem, the radius will be 18/2 or 9 units.
Lastly, all we have to do is substitute all this information to find the area of sector.
Area of the red sector = ( n° / 360° ) ( πr² ).
Area of the red sector =
( (100°) / 360° ) ( π(9)² ).
Area of the red sector = ( 5 / 18 ) ( 81π )
Area of the red sector = ( (5)(81π) / 18 )
Area of the red sector = ( (405π) / 18 )
Area of the red sector = ( 45π / 2 ) units²
Area of the red sector =
(141.371669412.. units²) / 2
Area of the red sector =
70.6858347058.. units²
Area of the red sector ≈
70.7 units²
Related Questions
A gardener made a scale drawing of a lawn with a scale
factor of 1:4. The dimensions of her drawing are 15 inches
long by 10 inches wide. Her partner plans to make another
scale drawing of the lawn, but with a scale factor of 1:20.
What are the dimensions of her scale drawing?
A. The length is 3 inches and the width is 2 inches.
B. The length is 50 inches and the width is 75 inches.
O c. The length is 2 inches and the width is 3 inches.
O D. The length is 75 inches and the width is 50 inches.
Answers
Answer: A.
Step-by-step explanation:
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Study each equation, then solve.
18) 5 + r = 6 - r
Answers
Answer:
5+r=6-r
-5 -5
r=1-r
+r +r
2r=1
÷2 ÷2
r=1/2
Which of the following equations represents a linear function
Answers
Answer:
its B
Step-by-step explanation:
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Solve the following right triangle. Round to the nearest tenth.
Answers
What is the area of the triangle?
Answers
Answer:
The formula to find a triangle is (L+W)/2
Step-by-step explanation:
Help please will mark brainliest!!
Answers
Answer:
5,4 km
Step-by-step explanation:
we know the area and the width.
the formula of the area of a parallelogram is
A = length x width
if we substitute the values that we know, we have
23,1 = x * 4,3
to find x we have to divide the two members by 4,3
x = 23,3/4,3 = 5,4 km
11. Saul's baseball bat has a mass of 1 kilogram His baseball has a mass
of 150 grams. What is the mass in grams of both items combined?
C. 1.150 grams
A. 1.15 grams
D. 115,000 grams
B. 115 grams
Answers
A factory begun producing new parts. Data were collected on the
number of defective parts per 10,000 parts produced. The graph
shown displays some of the data for the first 10 weeks of production.
Write an equation that best models the data?
Answers
The equation that best models the data is 10x + y = 160 if the number of defective parts per 10,000 parts produced and points (10, 60) and (9, 70)
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
From the graph:
(10, 60) and (9, 70)
The line equation of best fit:
(y - 70) = (70-60)/(9-10)(x-9)
y - 70 = -10(x-9)
y - 70 = -10x + 90
10x + y = 160
Thus, the equation that best models the data is 10x + y = 160 if the number of defective parts per 10,000 parts produced and points (10, 60) and (9, 70)
Learn more about the linear equation here:
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a company's stock was elling at $24 a share. A month later, it was selling at $30 a share. What percent is that gain
Answers
HELPPP PLEASE ANSWER
Answers
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What is the solution to this system of equations? 4x + 5y = 7
3x – 2y =-12
The solution is
(-2, 3)
(3.-1)
(18. -9)
(13,-9)
Answers
Answer:
(-2, 3)
Step-by-step explanation:
4x + 5y = 7
3x - 2y = -12
Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.
Let's work with y.
5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.
2(4x + 5y = 7)
5(3x - 2y = -12)
Multiply.
8x + 10y = 14
15x - 10y = -60
Eliminate.
23x = -46
Divide both sides by 23.
x = -2
Now that we know x, let's plug it back into one of equations to find y.
4x + 5y = 7
4(-2) + 5y = 7
Multiply.
-8 + 5y = 7
Add.
5y = 15
Divide.
y = 3
Now we know x and y; let's plug both back into the equation we have not checked yet.
3x - 2y = -12
3(-2) - 2(3) = -12
Multiply.
-6 - 6 = -12
Subtract.
-12 = -12
Your solution is correct.
(-2, 3)
Hope this helps!
Solve sqare root of x-1= x-3. Check for extraneous solutions.
O A. No solution
O B. x = 2,5
C. X = 2
D. x = 5
Answers
A
Answer:x=2,5
Step-by-step explanation:
sqrtx-1=x-3. Sqrt5-1=5-3
sqrt2-1=2-3. Sqrt4=
sqrt1=1. 2=2
1=1
Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as
it is greater than 4 in. Which statement about Aziza's claim is correct?
O Aziza's claim is not correct. The third side must be between 4 in. and 26 in.
O Aziza's claim is not correct. The third side can be any length less than 26 in.
O Aziza's claim is not correct. The third side can be any length.
O Aziza's claim is not correct. The third side must create a scalene triangle.
Answers
The 4th one? i think im not sure tho
Step-by-step explanation: The correct answer is A: O Aziza's claim is not correct. The third side must be between 4 in. and 26 in.
doivhrghfufvh - 10 points!
Answers
Answer:
I'm sure it's already all the way simplified since there are no common terms
I could he wrong but I dont think theres anything more you can do since they are all their own different term
Step-by-step explanation:
for example if it was 7x-2x-1 then you would subtract 7x and 2x and then it would come put to be 5x-1
hope this helped at all
Is this correct? Or are the numbers wrong
Answers
Answer:
I think that's right. But the angle in the corner actually might be the 28 degrees. One sec this question is a little confusing
Step-by-step explanation:
This is hard please help
Answers
Answer:
SA = 208 in²
Step-by-step explanation:
SA = 2(2)(7) + 2(2)(10) + 2(10)(7) = 208 in²
Answer:
208 in^2
Step-by-step explanation:
SA: 2(w · l + h · l + h · w) formula
SA: 2(2 · 7 + 10 · 7 + 10 · 2) plug the numbers in- w: width, l: length, h: height
SA: 2(14 + 70 + 20) find area of 3 sides with different areas
SA: 28 + 140 + 40 doubling
SA: 208 final answer
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
7D
AK
126
x
B
-С
Angles are not drawn to scale.
Enter
Answers
x=102°Answer:
x+78=180 supplementary angle
x=180-78=102
Find the x and y intercept of this equation: -2x + 8y =4 write your solutions as a point in the form (x,y)
Answers
Answer:
8y=4
Step-by-step explanation:
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student chosen randomly from the class has a cat or a dog?
Has a cat Does not have a cat
Has a dog 9 2
Does not have a dog 4 5
Answers
Answer:
0 students have a cat and 92 students have a dog
The probability that a student is chosen randomly from the class has a cat or a dog is 15/20.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
The class has a cat and a dog = 9
Has a dog and does not have a cat = 2
Does not have a dog and has a cat = 4
Does not have dog and cat = 5
The total strength of the class is 20
The probability that a student is chosen randomly from the class has a cat or a dog = Number of favorable outcomes / total number of outcomes
P(E) = 15 /20
Hence, The probability that a student is chosen randomly from the class has a cat or a dog is 15/20.
Learn more about probability :
https://brainly.com/question/795909
3. What is the value of x? A 52C 86 B 68 D 104
Answers
Answer:
86 i guess
Step-by-step explanation:
Tara had 1 5/8 pounds of dried nuts. She ate 1/4 pound of dried nuts each day for 6 days? How many pounds of dried nuts did Tara have left after 6 days?
Answers
Answer:
1/8
Step-by-step explanation:
its easy just count backwards by 2/8 each time
Please help will give brainliest
Answers
Answer:
Should be 70 since <B is also 70
Step-by-step explanation:
Going by the diagram, you just read the value of x. The value of y requires a little bit of calculation. x=70 degree
Step-by-step explanation: Step One
Find x
You just read the value.
x is the same as the 70 degree angle. That comes about from parallel lines.
x = 70 degrees. <<<< answer
Step Two
Find y
All triangles have 180 degrees.
So ABC has 180 degrees.
70 + 50 + <ACB = 180 Combine like terms
120 + <ACB = 180 Subtract 120 from both sides
<ACB = 180 - 120
<ACB = 60
y = <ACB
y = 60 degrees. <<<< Answer.
hoped this helped :)
Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives immunity to fungal infections. To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene. Give the margin of error for the 90% confidence interval. Round your answer to 3 decimal
Answers
Answer:
The margin of error for the 90% confidence interval is of 0.038.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.
This means that [tex]n = 400, \pi = \frac{280}{400} = 0.7[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Give the margin of error for the 90% confidence interval.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.7*0.3}{400}}[/tex]
[tex]M = 0.038[/tex]
The margin of error for the 90% confidence interval is of 0.038.
Alex has trained his puppy, Popper, to
jump through a ring. According to Alex's
measurements and calculations, the ring
has a diameter of 3.5 feet. What is the
ring's circumference (use 3.14 for pi)?
1. 8.75 ft
2. 11.32 ft
3. 12.25 ft
4. 10.99 ft
Answers
Answer:
4.10.99
Step-by-step explanation:
3.14 * 3.5
Round to the nearest hundredth 2^x =243
Answers
9514 1404 393
Answer:
7.92
Step-by-step explanation:
The value of x can be found by taking logarithms.
x·log(2) = log(243)
x = log(243)/log(2)
x ≈ 7.9248125...
x ≈ 7.92
__
A graphing calculator offers a couple of different options for solving the problem.
You pick a card at random.
2 3 4 5
6 7 8 9
What is P(5)
Write your answer as a percentage.
Answers
Step-by-step explanation:
There are a total of 8 cards, you are picking only one card,
therefore P(5) =
[tex] \frac{1}{8} \times 100 \\ = \frac{100}{8} \\ = 12.5percent[/tex]
The distance from Point C to the tower at Point A is 1.2 miles, while the distance from Point C to the tower at Point
Bis 1.8 miles. If mZACB=81", what is the distance, to the nearest tenth of a mile, between the water towers?
Answers
What’s the last equation
Answers
9514 1404 393
Answer:
20 . . . . value of last equation
(A, B, C) = (4, 5, 10) or (3 1/3, 6, 12) . . . . values of symbols
Step-by-step explanation:
If we call the symbols, in order of appearance, A, B, C, then the equations are ...
2AB = 40 ⇒ AB = 20
2C/B = 4 ⇒ C/B = 2
Multiplying the second equation by the first, we get ...
(C/B)(AB) = AC = (2)(20) = 40 ⇒ AC = 40
Then the last equation is ...
(C-B)A = __
AC -AB = __ = 40 -20 = 20
The value of the last equation is 20.
_____
Per the above, we have AC = 40. The third equation is ...
(C +3A) = 22
Using the first relation, we have A = 40/C, so the second becomes ...
C +3(40/C) = 22
C² -22C +120 = 0
(C -10)(C -12) = 0
C = 10 or 12
As you can see, there are two possible solutions for the values of the symbols. The corresponding values of the other variables are ...
A = 40/C = 4 or 3 1/3
B = 20/A = C/2 = 5 or 6
The values of the variables are ...
(A, B, C) = (4, 5, 10) or (3 1/3, 6, 12)
Solve for h -4(-6h - 7) = 9h + 10h - 7
Answers
Answer:
h=-7
Step-by-step explanation:
-4(-6h - 7) = 9h + 10h - 7
24h+28=19h-7
Both side -28
24h+28-28=19h-7-29
24h=19h-35
Both side -19h
24h-19h=19h-19h-35
5h=-35
h=-7
Answer:
h = -7
Step-by-step explanation:
-4(-6h-7)= 9h+ 10h-7
24h+ 28=19h-7
-19. -28. -19 -28
5h -35
h= -7
damon buyd a rose bush priced at $10. if the sales tax ix 10% how much tax will damon pay
Answers
Answer:
Before Tax Price: $10.00
Sale Tax: 10.00% or $1.00
After Tax Price: $11.00
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