Find the area of the shaded sector. Round to the nearest hundredths place.
SR= 26 m
Answers
Answer: 315.45 m^2
Step-by-step explanation:
We know that the area of a circle is written as:
A = pi*R^2
Where:
pi = 3.14
R = radius of the circle.
In this case, we know that SR (the diameter) is equal to 26m
And the radius is half of the diameter, then:
R = 26m/2 = 13m
Now, in the image we can see that we have half of the circle shaded, the area of that part will be equal to half the area of a complete circle, then the area of that part is:
A = (1/2)*3.14*(13m)^2 = 265.33 m^2
We also can see that we have a small arc shaded.
The area of a given arc of an angle θ, is given by:
A = (pi*R^2)*(θ/360°)
Now we want to find the angle of this arc, that is the angle:
∠PQ
We know that:
∠SR = 180° (this is a straight line)
∠RQ = 73°
and i assume that:
∠PS = 73°
if we look at the image, we can see that we must have:
∠QR + ∠PQ + ∠SP = ∠SR
73° + ∠PQ + 73° = 180°
∠PQ = 180° - 2*73° = 34°
Then the area of the small arc is:
A' = (3.14*(13m)^2)*(34°/360°) = 50.12 m^2
The total shaded area is equal to the sum of the two areas we calculated, this is:
Total area = A + A' = 265.33 m^2 + 50.12 m^2 = 315.45 m^2
Related Questions
What property is this? -5 + 5 = 0
Answers
Answer:
Inverse Property of Addition
Step-by-step explanation:
Any problems that will go into the inverse property of addition must equal 0. In this case, the equation above shows two of the same numbers with opposite signs in which that will equal to zero.
If 1 Euro is equivalent to $1.475 in US dollars, then approximately how many Euros would $50 U S be worth?
Answers
Answer:
33.89
Step-by-step explanation:faci regula de 3 simpla
1 euro....... 1,475 usd
X euro....... 50 USD => x = 50/1.475 = 33,89
PLEASE HElp with math ... please and thank you
Answers
Answer:
y = -1/5x + 2
Step-by-step explanation:
y = mx + b
m (slope) = -1/5
b (y-intercept) = 2
y = -1/5x + 2
PLEASE PLEASE SOMEONE HELP. ILL MARK YOU BRAINLY ANSWER ASAP
Answers
Answer:
ngl ion even know
Step-by-step explanation:
What is the answer to y=x^2+6x+5
Answers
Answer:
-5 and -1
Step-by-step explanation:
Factoring, we get y = (x+5)(x+1)
So x = -5 or -1
Or, you could've used the quadratic formula, thought it is slower.
y=0^2 + 6x0 + 5
y= 0 + 0 + 5
Y = 5
Rahul's monthly income is * 25,000, out of
which he spends 20% on accommodation,
50% on household expenditure, 15% on
transportation and the rest is saved. How
much money does he save?
Answers
Answer:
3750
Step-by-step explanation:
25,000 = 100%
20% accomodation
50% household
15% transportation
Saved=100%-20%-50%-15%=15% left saved
15% of 25,000=3750
_______________________________
= 20% + 50% + 15%= 85%= 85% × $25,000 ÷ 100= $21,250= $25,000 - $21,250= $3,750RAHUL SAVES $3,750 EVERY MONTH_______________________________
how do you factor 3y^3 - y^2 -9y + 3
Answers
Answer:
(3y - 1)(y - √3)(y + √3)
Step-by-step explanation:
Factor by grouping.
3y³ - y² - 9y + 3
= (3y³ - y²) - (9y - 3)
= y²(3y - 1) - 3(3y - 1)
= (3y - 1)(y² - 3)
= (3y - 1)(y - √3)(y + √3)
Claire and Malia are training for a race.
a. Claire runs 10 km in 1 hour. How many kilometers does she run in half an hour? in 2 1/2 hours?
b. Malia runs 5 miles in 1 hour. How many miles does she run in half an hour? in 2 1/2 hours?
c. On Tuesday, Claire and Malia both ran for 2 1/2 hours. Who ran the farther distance?
Answers
Answer: hello ima say first off Malia is my name lucky me my name is being used but for more serious matters... hope this helpssss
b)Claire runs 10km in 1 hour. In 2-1/2 hours, she runs (2-1/2 x 10) = 25 km.
c) Malia runs 5 miles in 1 hour
Step-by-step explanation:
Look at question 5 not the other ones and just answer please
Answers
A rectangular field is 10m longer than wide. The area of the field is 2000m². Find the perimeter of the field.
Answers
Answer:
180m
Step-by-step explanation:
Let L = length of field,
W = width of field,
A = field area = 2000 m^2
Lenght = Width + 10m
Let Lenght= x
Width=y
A = X ×Y = (Y + 10)Y= 2000
Y^2 + 10Y- 2000 = 0
Solving using Quadratic eqn with plot
Y= 40 or -50 but we go for the positive root
Width=40m
Length= 40m +10m
= 50m
Perimeter= 2(l+w)
=2(50+40)
180m
Hence, the perimeter is 180 m
CHECK THE ATTACHMENT FOR THE QUADRATIC PLOT
Which of the following equations is equivalent to 4.37p + 7.5 = -6.092?
A. 437p + 75 = -6092
B. 437p + 750 = -6092
C. 437p + 750 = -692
D. 4370p + 7500 = -6092
Answers
Everything is multiplied by 1000
Answer:
D
Step-by-step explanation:
Hanna has 24 candies. She wants to split all her candies equally into bags to give to her friends. How can she spilt them?
Answers
Answer:
Divide
Step-by-step explanation:
Divide 24 into how many friends there are.
Answer:
8 * 3 = 24
Step-by-step explanation:
From the following integers, which integer is the largest?
-2, 4, 6, -7
How do you know?
Answers
Answer:
6 is the largest -7 is the smallest
Step-by-step explanation:
-2(3b - 8) + 12b
Please answer
Answers
Answer:6b+16
Step-by-step explanation:
Answer:
6b + 16
Step-by-step explanation:
-2(3b - 8) + 12b --> Question
-6b + 16 + 12b --> Distributed -2 to the parenthesis
(-6b + 12b) + 16 --> Combined Like Terms
6b + 16 --> Simplified
Hope this answered your question! <3
Please help me thanks please
Answers
Answer:
3054
Step-by-step explanation:
4/3 πr³
4/3 × 3.14 × 9³
3054
The ratio of a larger rectangle to a smaller rectangle is 2:1. If the perimeter of the smaller rectangle is 15 ft, what is the perimeter of the larger rectangle?
Answers
Answer:
perimeter of the larger rectangle would be 30, since the ratio of the larger rectangle is double the ratio of the small rectangle, you would have to double the peri. of the small rect. to get the peri. of the large rect.
There were 12 boys and 20 girls in a chorus. What is the ratio of boys to girls? 3 : 8 5 : 8 3 : 5 5 : 3
Answers
Answer:5 : 3
Step-by-step explanation:
Answer:
12:20
Step-by-step explanation:
12 boys: 20 girls
GUYS PLEASE HELP HELPING ME GIVES U 50 POINTS PLEASE HELP ME
Y = 1/1 x + 1
Answers
Answer:
m = 1
b = 1
Step-by-step explanation:
y = mx + b:
y = 1/1x + 1
y = 1x + 1
m = 1
b = 1
Answer this question
Answers
Answer:
Step-by-step explanation:
1. Eggs are sold at a price of P 105.00 per dozen.
Rate = [tex]\frac{1}{105}[/tex]
2. The carpentry job can be done by 3 carpenters in 4 days.
Rate at which each carpenter works = [tex]\frac{4}{3}[/tex] = 1[tex]\frac{1}{3}[/tex] days
This shows that each carpenter worked for an average of 1.3333 days to complete the job.
3. Five tickets are sold at P 600.00
The price for one ticket = [tex]\frac{600}{5}[/tex]
= 120
One ticket is sold for P 120.00.
4. The dollar's rate is P 52.00.
This implies that;
1 dollar = P 52.00
dollar rate = [tex]\frac{1}{52}[/tex]
5. The ratio of water to milk in the recipe is 1 to 4.
This implies that to 1 measure of water, 4 measures of milk is used in the recipe.
rate = [tex]\frac{1}{4}[/tex]
Helllppppppppppp plsssss
Answers
i took this and got it correct
Select the correct answer.
ОА
Which equation represents the line that is perpendicular to y = $5 + 23 and passes through (-40,2012
- 15
y = - = - 30
= 5 + 52
= - 56
ОВ.
Ос. y =
OD.
Answers
Answer:
The question is written kinda bad, so i take the next two assumptions:
The original line is:
y = 5*x + 23
And we want to find a perpendicular line that passes through the point (-40, 2012)
Suppose that we have a linear equation:
y = a*x + b
A perpendicular line to this one, will have a slope equal to -(1/a)
Then a random perpendicular line to the one above, is:
y = -(1/a)*x + c
In this case, we start with the line:
y = 5*x + 23
Then the family of perpendicular lines to this one, will be like:
y = (-1/5)*x + c
Where c can be any real number.
Now, we also want this line to pass through (-40, 2012)
This means that when x = -40, the value of y must be 2012
We could replace these values in our equation above and solve it for c.
2012 = -(1/5)*(-40) + c
2012 = 40/5 + c
2012 = 8 + c
2012 - 8 = c = 2004
Then the equation is:
y = -(1/5)*x + 2004.
Height in meters 15 30 45 60 75 90 105
Distance in kilometers 13.833 19.562 23.959 27.665 30.931 33.833 36.598
1. Determine a function that could be used to model the data in the table.
Make sure to use h for height and d for distance.
2. If the balloon is 800 meters high, what is the farthest distance that you would be able to see? Round answer to the nearest whole number
3. Round answer to the nearest whole number
A building is 16 km away. What height does the balloon have to rise for the building to be visible?
Answers
Step-by-step explanation:
....................
how can 5(3+2) be expressed using distributive property
Answers
Answer:
5(3) 5(2)
Step-by-step explanation:
You would use the distributive property by doing
5(3) 5(2)
15 + 10
25
It costs $320 for a a camping trip. It costs $50 to park your vehicle for the entire trip and $90 per day for the camping site How many days was the camping trip?
Answers
Answer:
3 days
Step-by-step explanation:
320-50 = 270
270/90 = 3
Bonnie's favorite game at the arcade is Can Em Down. In the game, players earn 7 points for each can they knock down. Bonnie earned 84 points in her best game. Let c represent how many cans Bonnie knocked down. Which equation models the problem?
Answers
Answer:
c = (total points earned in best game / points per can knocked down)
c = 12
Step-by-step explanation:
Given that :
Points earned per knockdown = 7
Total points earned in best game = 84
Number of cans knocked down, c
c = (total points earned in best game / points per can knocked down)
c = 84/ 7
c = 12
pls help me on this question :-
Answers
Answer:
We conclude that the rule for the table in terms of x and y is:
y = 3x+2Step-by-step explanation:
The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.
We know the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept.
Taking two points
(-2, -4)(-1, -1)Finding the slope between (-2, -4) and (-1, -1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}[/tex]
[tex]m=3[/tex]
We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.
Taking another point (0, 2) from the table.
It means at x = 0, y = 2.
Thus, the y-intercept b = 2
Using the slope-intercept form of the linear line function
y = mx+b
substituting m = 3 and b = 2
y = 3x+2
Therefore, we conclude that the rule for the table in terms of x and y is:
y = 3x+2can somebody help me ?
Answers
Answer:
Yes, 4 is the constant of proportionality
Step-by-step explanation:
The constant of proportionality here is the value you multiply x by to get y. if you divide 12/3, 24/6, 36/9, 60/15, the answer to all of those is 4. Because the multiplier is the same for each one they are all proportional.
Please help me! ( Please) will mark brainiest
Answers
Answer:
Option 2
Step-by-step explanation:
Option 2,all the given sets have their members occuring
Please answer correctly !!!!!!!!!! Will
Mark Brianliest !!!!!!!!!!
Answers
Answer:
JP = 36
Step-by-step explanation:
Answer:
36 length unit
Step-by-step explanation:
if p is the centroid
then JP = ⅔ JN
then JP = ⅔ × 54 = 36 length unit
Gail has $5,500 that she wants to put in a new savings account. She is
considering two banks that are very similar. One difference she notices
are the interest rates:
• Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
.
Based on interest, which bank would you suggest Gail pick if she plans to
have her money in the account for 15 years?
Answers
Answer: Neighborhood Bank - 0.65% interest, compounded weekly
Step-by-step explanation:
The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
Given that Gail has $5,500 that she wants to put in a new savings account.
Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
Thus, $5,500 x 0.65% = $35.75
$35.75 a day times 360 days = $12870
$12870 times 20 = $257,400.
$257,400 times 20 = $514800 (16.2mil)
Hence, The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.
Learn more about compound interest here:
https://brainly.com/question/1329401
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