Answers
Answer:
a) 23.56 ft (2 dp)
b) 58.90 ft² (2 dp)
Step-by-step explanation:
Formula
[tex]\textsf{Arc length}=r \theta[/tex]
[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]
Calculation
Given:
[tex]\theta=\dfrac{3 \pi}{2}[/tex] r = 5 ft[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}[/tex]
Related Questions
Which expression is equivalent to 52.2
O
(2.50) + 2
(2 • 26) + 2
O
(z.50) + (z. 2)
O (z • 2) + 26
Answers
Answer:
Anwer is (z.50)+(z.2) since expanding it is z.52
On World Environment day, Class-9 students bought five plants of mango, silver oak, orange, banyan, and
Amla from the soil department. They plotted where to plant these trees and noted the locations as (x, y).
Then the group leader was then assigned to join these points in the given order.
(iv) Which of the following trees are planted exactly in the x - axis?
(a) Amla and Mango
(b) Orange and Amla
(c) Orange and mango
(d) Silver Oak and Banyan
Answers
Based on the points given about the locations these trees are planted, the trees that will be planted exactly on the x-axis are (a) Amla and Mango.
Which trees will be on the x-axis?When plotting a line on a graph, the points that will be found on the x-axis are those that will have a y coordinate of 0.
From the table given, both Mango and Amla have y coordinates of 0 which means that they will be planted exactly on the x-axis.
Find out more on plotting lines on graphs at https://brainly.com/question/14323743.
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If a sprinkler rotated 90˚, paused and then rotated another 90˚, how many degrees
did it rotate altogether
Answers
Answer:180 or halfwayStep-by-step explanation:90 is 1/4 and 360 is a full rotation so it rotated halfway all together.
awnser pls quickly :)))
Answers
Answer:
P': (5,3)
Q': (10,3)
R': (3,10)
Step-by-step explanation:
Which of the following conditions must be met in order to make a statistical inference about a population based on a
sample if the sample does not come from a normally distributed population?
Answers
PLEASE HURRY, 100 POINTS!!
Another common bet in roulette is on the number being even or odd (not including 0 or 00). If the wheel is spun once, what is the probability of the outcome being an odd number?
Answers
Answer:
9/19 or 47.4% (nearest tenth)
Step-by-step explanation:
A roulette wheel is numbered 1 to 36 with 0 and 00.
Therefore, there is a total of 38 evenly-spaced pockets.
The number of odd numbers from 1 to 36 is 18
(1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35)
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \textsf{Probability of odd number}= \sf \dfrac{18}{38}=\dfrac{9}{19}=47.4\%[/tex]
Roulette wheel contains 1 to 36 numbers excluding 0 and 00
Total nos =38Total odd nos
{1,3,5,7,9,11,13,15,17,19,21,23,25,29,31,33,35}
Total=18Probability
18/389/1915-(7+3x)=16-(4x-1)
please give me a step by step answer, I don't understand the rules to removing parenthasees and I keep getting different answers :( pls help
Answers
Answer:
Step-by-step explanation:
----------What is the measure,in degrees,of angle VSR?
Answers
Answer:
Angle VSR = 135 degrees.
Step-by-step explanation:
since it is a straight line at the top, those angles are going to add up to 180 degrees. The corners of a square is 90 degrees. And we know the other side is 45. 90 + 45 = 135 so 180 - 135 = 45 and that is the measure of the other angle. An easier way to do it would be that theres another square and the corners are still 90 degrees so you just do 90 - 45 and get 45 now you add the 45 to 90 and get 135 which is the answer.
What is the value of x?
Answers
Answer:
x = 52°
Step-by-step explanation:
The angles add up to 360°.
x + 98 + x + 91 + x + 15 = 3603x + 204 = 3603x = 156x = 52°Find the value of 8!.
Answers
Hey there!
8!
= 8(7)(6)(5)(4)(3)(2)(1)
= 56(6)(5)(4)(3)(2)(1)
= 336(5)(4)(3)(2)(1)
= 1,680(4)(3)(2)(1)
= 6,720(3)(2)(1)
= 20,160(2)(1)
= 40,320(1)
= 40,320
Therefore, the answer should be:
40,320
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
PLEASE HELP ME IN MY MATH PROBLEM
Answers
The values are
.|8|=8|-8|=8-|8|=-8-|-8|=-8First plot two dots on 8
Then rest two on -8
Answer:
See below ~
Step-by-step explanation:
Solving :
|8| = 8|-8| = 8-|8| = -8-|-8| = -8Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.
Answers
Answer:
New coordinates:
A'(-3, 3)
B'(4, -1)
C'(-2, 0)
Step-by-step explanation:
It tells you (x-3, y-4), which means you have to subtract 3 from every x coordinate, and 4 from every y coordinate.
Hope this helps <3
Answer:
See below ~
Step-by-step explanation:
New coordinates
A' = (0 - 3, 7 - 4) = (-3, 3)B' = (7 - 3, 3 - 4) = (4, -1)C' = (1 - 3, 4 - 4) = (-2, 0)if mJK=(7x-39) and mML=87, find x
Answers
Answer:
https://brainly.com/question/9016553
Step-by-step explanation:
You can see the answers from the exact same question. In the link I pasted.
Not my answer but hope this helps
[tex]12\frac{1}{2}[/tex]% as a simple fraction is:
a)[tex]\frac{12}{100}[/tex]
b)[tex]\frac{1}{8}[/tex]
c)[tex]\frac{3}{25}[/tex]
d) 0.125
e) 12.5
Answers
Answer:
E. 12.5
Step-by-step explanation:
[tex](12 \times 2) + 1 = 25 \\ \frac{25}{2} [/tex]
Answer:
B
Step-by-step explanation:
25/2 = 12.5
so, 12.5 /100
= 1/8
Therefore b is the correcrt answer
You decide to go to dinner with three friends. Before the check comes, the group decides to split the check evenly. The total
check is $134.50. As a group you decide to tip the waiter 20% on top of the total check amount. How much money should
you and each friend pay, including tip? Round your answer to the nearest cent.
Answers
Answer:
You each will pay $40.35
Step-by-step explanation:
First you take the total $134.50 and divide it by 4 which is you and your three friends.
This will give you 33.625 which is the amount each of you will pay without tip.
To find the tip you take 20% from $134.50 which will give you 26.9 and when you divide that by the four of you it will give you 6.725.
Then you take your amount 33.625 plus your tip 6.725 which will give you $40.35.
The total you all will pay will be $161.40 this is the total $134.50 plus the tip $26.90.
Hope this helped.
The volume of a cylinder is 20 ft3. which expression represents the volume of a cone with the same base and height as the cylinder? startfraction 2 over 30 endfraction feet cubed startfraction 20 over 3 endfraction feet cubed 3 (20) feet cubed startfraction 20 squared over 3 endfraction feet cubed
Answers
The expression that represents the volume of a cone with the same base and height as the cylinder is 1/3 * 20
How to determine the volume of the cone?The volume of the cylinder is given as:
V = 20
The volume of the cone is 1/3 of the volume of the cylinder.
So, we have:
v = 1/3 * V
Substitute 20 for V
v = 1/3 * 20
Hence, the expression that represents the volume of a cone with the same base and height as the cylinder is 1/3 * 20
Read more about volume at:
https://brainly.com/question/1972490
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Answer:
B
Step-by-step explanation:
Hope this helps B)
Trapezoid defg is dilated according to the rule do,4(x,y) to form the image trapezoid d'e'f'g', which is shown on the graph. on a coordinate plane, trapezoid d prime e prime f prime g prime has points (negative 8, 8), (negative 3, 8), (negative 5, 4), and (negative 8, 4). what are the coordinates of point g of the pre-image? (-2, 1) (-4, 2) (-12, 0) (-32, 16)
Answers
Since the figure is dilated by a factor of 4, the coordinates of point g of the pre-image is (-2, 1)
How to determine the coordinates of point g?The coordinates of the image are given as:
d' = (-8,8)e' = (-3,8)f' = (-5,4)g' = (-8,4)The dilation rule is given as:
(x,y) -> 4(x,y)
So, we have:
(-8,4) = 4 * g
Divide both sides by 4
g = (-2,1)
Hence, the coordinates of point g of the pre-image is (-2, 1)
Read more about dilation at:
https://brainly.com/question/3457976
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Answer:
A
Step-by-step explanation:
edge
I need help! Find the measure of the indicated angle to the nearest degree.
Answers
Seeing as this is a right triangle, we would solve for the unknown angle using a trigonometric function.
Remember! SOH-CAH-TOA
Looking from the unknown angle, we are given the adjacent side and the hypotenuse. Therefore, we should use the cosine function.
cos(?) = 17 / 19
---To find the unknown angle measure, you will need to use the inverse cosine function. This function is generally found by using the "2nd" button on your calculator and then pressing the cosine button. It should look like one of the following options: "cos^-1" or "arccos".
Make sure your calculator is in degrees, not radians!
cos^(-1) [17/`9]
26.52
---Round to the nearest degree per the instructions
Answer: 27 degrees
Hope this helps!
Complete the equation describing how x and y are related
Answers
Answer:
Negative number Addition and Subtraction.
Step-by-step explanation:
Ok so, 1-(-4)+ to 5
and 2-(-3) also = to 5 so you can kinda see a pattern if you get this 1 has to subtract by 5 bc 1-5=-4 and the same for the others so I hope I get this right and it helps.
y=x+-5
i would really appreciate some help with this question, thank you!
if A(4,5), B(6,8), then vec AB is .......
answer choices;
a)(24,40)
b)(10,13)
c)(2,3)
d)(40,24)
Answers
Answer:
A is the answer to the question
Step-by-step explanation:
4*6=24
5*8=40
it’s timed please help :)
Answers
A jar contains 3 green and 3 red
marbles, as shown.
Drag purple marbles to the jar to
create a situation in which the
probability of drawing a red
marble followed by another red
marble, with replacement, is 16
Answers
Answer:
1/2 this is the correct answer to the question
)The number of elements in power set {1, 2, 3} is
(a) 4
(b) 6
(c) 8
(d) 9
Answers
Answer:
(c) 8Step-by-step explanation:
The number of elements in a power set = the number of subsets of a set
Formula:
Let S be a sent ,the number of elements of the power set of S =
[tex]2^{\text{card(S)} }[/tex]
Where card(S) = number of element of S itself.
=======================================
In this case :
Card(S) = 3
Then
the number of elements of the power set of S =
[tex]2^{3}=8[/tex]
5. A wheel makes 726 revolutions per minute. How many
revolutions does it make per second?
Answers
Explanation: 726/60 because there are 60 seconds for a minute.
The figure shown is a rectangle. If you draw a new rectangle in which the dimensions are doubled, what is the relationship between the AREAS of the two rectangles? A) The area of the new rectangle is twice that of the original rectangle. B) The area of the new rectangle is one-half that of the original rectangle. C) The area of the new rectangle is four times that of the original rectangle. D) The area of the new rectangle is eight times that of the original rectangle.
Answers
Answer:
Step-by-step explanation:
Givens
L = 5
w = 3
Formula
Area = L*w
Solution
Area = 3 * 5
Area = 15
Now double both the width and the Length.
New Length = 2*5 = 10
New Width = 2 * 3 = 6
Area = New Length * New Width
Area = 10 * 6
Area = 60
Answer (look at the choices)
The old rectangle has an area of 15. The new Rectangle has an area of 60. If you double 15, do you get 60. No, so the answer is not A
The new rectangle is 60. If you halve it, do you get 15. No so the answer is Not B
C is the answer
D is you multiply 8 * 15, do you get 60? No so the answer is not D
If you get a $50.00 raise in pay per month and your taxes also increase about $50.00 per month, how would you probably feel?
appreciated because you are getting rewarded for your hard work
satisfied because you broke even
proud because the government needs your money more than you do
resentful because it seems unfair
Answers
Answer:
i would say satisfied because you broke even. Because then you still work the same as you did, because before that you were breaking even every month. So you are not getting paid any extra
Step-by-step explanation:
Select the correct answer. what is the y-intercept of f(x) = 3x 2? a. (9,0) b. (0,9) c. (0,-9) d. (9,-9)
Answers
The y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0. The y-intercept of the line with the function y = 3x + 2 is (0, 2)
Intercept of a lineThe y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0.
Given the equation of a line f(x) = 3x +2
If x = 0, them;
f(0) = 3(0) + 2
f(0) = 2
Hence the y-intercept of the line with the function y = 3x + 2 is (0, 2)
Learn more on intercept here: https://brainly.com/question/1884491
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Answer:
answer is (0, 9)
Step-by-step explanation:
did the test. plato.
ur welcome buddy
help me PLEASE FIND THE VOLUME
Answers
Answer:
1. 519.75 cm^3
2. 19.22 cm^3
3. 613.6 cm^3
4. 1365.68 cm^3
Step-by-step explanation:
Hello again, similar to the other questions, these problems use the same formulas.
1. volume of a rectangular prism is: V = lwh, where l = length, w = width, h = height. Substitute known values into this equation: V = 4.5 x 7 x 16.5 and we get V = 519.75 cubic cm.
2. V = (1/2)bhl, where the base and height are dimensions of the triangle. V = (1/2)6.2 x 2 x 3.1 and we get V = 19.22 cubic cm
3. V = Bh, where B is the base area and h is the perpendicular height. Substitute known values into equation: V = 52(11.8). So, V = 613.6 cubic cm.
4. And again, V = Bh. Substitute given values into this equation: V = 79.4(17.2), which means V = 1365.68 cm^3
solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.
Answers
Answer:
answer should be 4.3
Step-by-step explanation:
8.9^(2)-7.8^(2)
=18.37
\sqrt(18.37)
=4.28602379
and round to the nearest tenths should give you 4.3
PLEASE HELP ASWER NEEDED BEFORE 2 HOURS!10. When adding or subtracting mixed numbers, you can use the To help separate the whole numbers from the fractions. Solve the following problems 11. + // 12.1 / +2/3/ 13. 10+ 39/160 14.6 / +9 15.3 1/1 + 4/1/20
Answers
Answer:
I was unable to do no. 10 hope others solution can help you
