Suppose you are given Circle B with Area of ΔAOB(purple) = Area of Sector BOC (pink). What is m
Complete your work, including any drawings, on a separate piece of paper to solve the problem. Upload a copy of your solution here.
Please answer asap!! 40 Points!!!
Answers
28.65 Degrees
[tex]\bold{EXPLANATIONS:}[/tex]
The measure of angle BOC is 28.65°.
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
The area of a triangle is,
Area = 1/2 × base × height
We have radius of the circle is 12 inches since OA = 12 which is the radius.
So, OB = 12 inches.
Height of the triangle AOB to the base OA = 12 sin (30°) = 12/2 = 6 inches
Area of ΔAOB = 1/2 × 12 × 6 = 36 inches²
Area of sector = (x/360°) πr², where r is the radius and x is the central angle formed.
Here x is ∠BOC.
Since area of sector = area of triangle,
(x/360°) π(12)² = 36
x π = 90°
x = 28.65°
Hence the required measure is 28.65°.
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Related Questions
∠A ≅ ∠ _____. .A m .B n .C c .D AB
Answers
Answer:
M
Step-by-step explanation:
Option A M is answers
I hope it helped you
y = (3x)2 + 17
when x = 2
Answers
Answer:
y = 29
Step-by-step explanation:
y = (3x)2 + 17
y = (3(2))2 + 17
y = (6)2 + 17
y = 12 + 17
y = 29
Write
22
48
in lowest terms.
Answers
Answer:
11 and 24
Step-by-step explanation:
The captain of a riverboat cruise charges $36 per person. The cruise averages 300 customers a day. The captain is considering increasing the price. A survey indicates that for every $2 increase in price, there would be 10 fewer customers. What price would maximize revenue?
Answers
or a anyway byyy
1) Carolina walked to school on 12 of the 20 school days in March. Which value is NOT equivalent to the fraction of the school days in March that Carolina walked to school?
A) 60%
B) 0.06
C) 3/5
D) 0.60
Answers
The value that is not equivalent to the number of days Carolina walked to school during March is 0.06.
What is a fraction?A fraction represents the proportion or part in a whole, in this case, the number of days Carolina walked to school out of the total days in March.
This relationship can be expressed as:
A fraction:
12/20A simplfied fraction:
3/5 by dividing it into 4A number:
12/20 = 0.60 by dividing 12 by 20A percentage:
60% by multiplying the number by 100Learn more about fractions in: https://brainly.com/question/10354322
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A state offers specialty license plates that contain 2 letters followed by 3 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system
Answers
I am pretty positive the answer is 17,576
LLNNN, we contain 676000 combinations available for license plates.
How to estimate the number of possible license plates?The number on license plates exists in the form LLNNN, where L denotes a letter and N denotes a number.
As L can be anything from A to Z, there exist 26 combinations for that and as repetition stands allowed, for second and third letters, we also contain 26 combinations available, and therefore 26 × 26 = 676 combinations for letters.
But numbers exist from 0 to 9 i.e. 10 combinations for each place and a total of 10 × 10 × 10 = 1000 combinations.
Therefore, LLNNN, we contain 676000 combinations available for license plates.
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.
Which of the following is the reciprocal 1/5 of ?How do I know if my answer is correct ? Please help me to solve this ! I really need help! Please heeeeelllllllpppppppp!
Answers
Answer:
5
Step-by-step explanation:
Repreical means opposite, so, 1/5 x 5 would equal one, thats a reciproal
Answer:
5
Step-by-step explanation:
The reciprocal of 1/5 would be 5. To find the reciprocal of a number, swap the numerator and the denominator.
A salad dressing is made by mixing oil and vinegar in the ratio 7:2. Joshua makes 900ml of salad dressing. How much oil does he use?
Give your answer in millilitres (ml)
Answers
The answer to this question is 700 ML
What is the value of x?
Answers
Answer: 5
Step-by-step explanation:
A surfer paddles out past breaking waves, rides a wave, paddles back out past the breaking waves, rides another wave back to the beach. Draw a sketch of a graph (with labels) that shows the surfer's possible distance from the beach over time. Show work
Answers
Answer:
Past the waves to the beach
Step-by-step explanation:
They never went past the breaking waves that much and started at the beach
what is the value of the expression -8x3.2
Answers
Answer:
-25.6
Step-by-step explanation:
Hope this helped :>>>
Which of the following is irrational?
Answers
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
the other 3 are perfect squares and have rational answers.
[tex]\sqrt{1.44} =1.2\\\sqrt{1}= 1\\\sqrt{4} =2[/tex]
[tex]\sqrt{2}[/tex]
A square root of any number that won't result in a whole number is irrational.
In this case, [tex]\sqrt{2}[/tex] is irrational.
If an investor has a $5,000 pretax return, the state tax rate is 4.5%, and the federal tax rate is 22.0%, what is the real investment value? $1,325 $3,675 $3,900 $4,775
Answers
Based on the given parameters, the real value of the investment is $3675
How to determine the value of the investment?From the question, the given parameters about the investment are:
Pretax return = $5,000
State tax rate = 4.5%
Federal tax rate = 22.0%
The real value of the investment is calculated using the following formula
Real investment value = Pretax return - [(Pretax return * State tax rate) * Pretax return * Federal tax rate)]
Substitute the given values in the above equation.
Real investment value = 5000 - [(5000 * 4.5%) + (5000 * 22.0%)]
Evaluate the products
Real investment value = 5000 - [225 + 1100]
Evaluate the sum in the above equation
Real investment value = 5000 - 1325
Evaluate the difference in the above equation
Real investment value = 3675
Hence, the real value of the investment is $3675
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Answer:3675
Step-by-step explanation:
HELP ASAP PLEASE
The table below shows the weights of Liam's pumpkin, l(w), and
Patricia's pumpkin, p(w), over a four-week period wherew represents
the number of weeks. Liam's pumpkin grows at a constant rate.
Patricia's pumpkin grows at a weekly rate of approximately 52%.
Assume the pumpkins continue to grow at these rates through week 13.
When comparing the weights of both Liam's and Patricia's pumpkins
in week 10 and week 13, which statement is true?
(1) Liam's pumpkin will weigh more in week 10 and week 13.
3) Patricia's pumpkin will weigh more in week 10 and week 13.
(3) Liam's pumpkin will weigh more in week 10, and Patricia's
pumpkin will weigh more in week 13.
4) Patricia's pumpkin will weigh more in week 10, and Liam's
pumpkin will weigh more in week 13.
Answers
Liam's pumpkin will weigh more in week 10, and Patricia's pumpkin will weigh more in week 13. Then the correct option is C.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The table below shows the weights of Liam's pumpkin, l(w), and Patricia's pumpkin, p(w), over a four-week period which represents the number of weeks.
Liam's pumpkin grows at a constant rate.
Patricia's pumpkin grows at a weekly rate of approximately 52%.
Let x be the number of the week and y be the weight in pounds.
The equation of Liam's pumpkin will be
[tex]\rm y - 2.4 = \dfrac{5.5-2.4}{7-6} (x- 6)\\\\y - 2.4 = 3.1(x- 6)\\\\y = 3.1x - 16.2[/tex]
Then the weight of Liam's pumpkin after 10 weeks will be
y = 3.1 × 10 - 16.2
y = 31 - 16.2
y = 14.8
Then the weight of Liam's pumpkin after 10 weeks will be
y = 3.1 × 13 - 16.2
y = 40.3 - 16.2
y = 24.1
The equation of Patricia's pumpkin will be
[tex]\rm y = a\times (1.52)^{x}[/tex]
For x = 6 and y = 2.5
Then
[tex]\rm 2.5 = a \times 1.52^6\\\\a \ \ = 0.203[/tex]
We have
[tex]\rm y = 0.203 \times (1.52)^{x}[/tex]
Then the weight of Patricia's pumpkin after 10 weeks will be
[tex]\rm y = 0.203 \times (1.52)^{10}\\\\y = 13.36[/tex]
Then the weight of Patricia's pumpkin after 13 weeks will be
[tex]\rm y = 0.203 \times (1.52)^{13}\\\\y = 46.93[/tex]
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Find the tive-number summary for the data set.
6, 8, 13, 15, 21, 23, 31
A. Minimum = 6
First quartile 31
Median
22
Third quartile = 8
Maximum = 23
B. Minimum = 6
First quartile = 8
Median
15
Third quartile = 23
Maximum = 31
C. Minimum = 31
First quartile = 13
Median = 22
Third quartile : 23
Maximum = 6
D. Minimum = 31
First quartile = 6
Median = 31
Third quartile = 15
Maximum = 8
Answers
Answer:
B
Step-by-step explanation:
One angle of a parallelogram measures 20 what are the measures of the other three angles in the parallelogram
Answers
Answer:
160°, 20° and 160°[tex] \: [/tex]
Step-by-step explanation:
Let us assume A, B, C and D are the four angles of the parallelogram. Where, ∠A = 20° and we have to find the measure of ∠B, ∠C and ∠D
So, If ∠A = 20°, then So, also ∠C = 20°.
[Opposite angles of a parallelogram are equal to each other]Therefore,
The measure of ∠C is 20°⠀
And, ∠A and ∠B are adjacent angles. We know,
Sum of two adjacent angles = 180°So,
⇒ ∠A + ∠B = 180°
⇒ 20° + ∠B = 180°
⇒ ∠B = 180° – 20°
⇒ ∠B = 160°
So,
The measure of ∠B = 160°⠀
So, If ∠B = 160°, then So, also ∠D = 160°.
[Opposite angles of a parallelogram are equal to each other]Therefore,
The measure of ∠D is 160°Which system of equations is satisfied by the solution shown in the graph?
9
2 3 4 5 X
-5
-4
3
8
N
6
51
3.
Answers
Answer:
y = x + 10y = -x + 6Step-by-step explanation:
Equation of Red Line
Slope (m) = rise/runSlope (m) = 1/1 = 1y-intercept (c) = (0, 10)⇒ y = mx + c⇒ y = x + 10Equation of Blue Line
Slope (m) = rise/runSlope (m) = -1/1 = -1y-intercept (c) = (0, 6)⇒ y = mx + c⇒ y = -x + 6Pls help! I don’t understand bc I’m not smart-
Answers
Answer:
78.5 m²
Step-by-step explanation:
The formula to find the area of a quarter of a circle: [tex]\frac{1}{4} * \pi * r^{2}[/tex], where [tex]r[/tex] is the radius (diameter ÷ 2) and the [tex]\pi[/tex] is alterable.
1) Substitute the given values into the formula.
= [tex]\frac{1}{4} * 3.14 * 10^{2}[/tex]
2) Solve it.
= [tex]\frac{1}{4} * 314[/tex]
= 78.5
3) Round it off to the nearest tenth. In this case, it has already been rounded off.
PLS HELP FAST!! What does (87)4 equal?
Write your answer as a fraction, using the / symbol, like this: 42/53
Answers
Answer:
348
Step-by-step explanation:
(87)4
87×4
348
it's simple brackets mean multiplication
hi people! so, i have a math dyslexia, this means i have a really hard time not only understanding math, but keeping up with all the problems and new stuff, could someone just give me an explanation of what algebra is in a way that you would describe it to a 5 year old?
Answers
Answer:
Math with letters
Step-by-step explanation:
Algebra is just like normal math but instead of you knowing all the numbers there are some numbers you dont know and those are replaced with letters. letters are there to you can replace them with any number, or if given the right problem you might have to find out what number replaces the letter to give you the right answer. for example take 1+x=2 here x would be replaced with 1 to make this true. or take y=2-x+3 if you replace x with any number you want that changes the (y) value to give you anything you want. Also the letters can be any letter you want they dont mean anything just there as place holders for numbers.
X + 3/2= 2 1/4 whats the answer
Answers
Move all terms not containing x to the right side of the equation.
Exact Form:
x=15/4
Decimal Form:
x=3.75
Mixed Number Form:
x=3 3/4
hope this helps
Triangle MNO is rotated 180degree using the origin as the center of rotation.
On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).
Which sequences of transformations will produce the same results? Check all that apply.
a reflection over the x-axis and then a reflection over the y-axis
a reflection over the y-axis and then a reflection over the x-axis
a 90degree clockwise rotation about the origin and then a 90degree counterclockwise rotation about the origin
a translation 6 units right and then a reflection over the x-axis
a translation 4 units down and then a reflection over the y-axis
Answers
Answer:
A. a reflection over the x-axis and then a reflection over the y-axis
B. a reflection over the y-axis and then a reflection over the x-axis
So, When there is the reflection over to the x axis so it can be the reflection for the y-axis. and, the same is applied for y-axis as well.
It’s due soon l don’t understand what to do
Answers
Answer:
38.4895
Step-by-step explanation:
area of circle = pi * r^2
3.142 * 7^2 = area of the whole circle
as we only have 1/4 of the circle we divide our area by 4
(3.142 *7^2) / 4 = 38.4895
Answer:
38.4895
Step-by-step explanation:
basically you are finding a quarter of the area of the circle. So the formula is 1/4πr^2
so that's 3.142×7^2 and then divided by 4.
hope this helps
0.8 cm
6 cm
Surface area of a cylinder
Answers
A=2πrh+2πr2
A≈34.18 if radius is .8
A≈256.35 if radius is 6
HELPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
a. square pyramid b. sphere d.triangular pyramid
Answer: a= Square Pyramid, b= Sphere, d= Triangular Pyramid
Step-by-step explanation:
I really need help with this question.. I've been stuck on it for a while
Answers
Answer:
that forms a triangle .
.....
PLEASE HELP! 5TH GRADE MATH, PLEASE GIVE BRAINLIEST!
Answers
Answer: 1 divided by 7
Step-by-step explanation: fraction bar is equal to division
Answer:
C or D but mostly D because the fraction is 1 into 7 and D is dividing 1 into 7 so if correct please consider brainliest
<3
Step-by-step explanation:
the length of the rectangle is 4cm more than it's width.if the perimeter is 20cm. find the width
Answers
Answer:
3 cm
Step-by-step explanation:
The given relation between length and width can be used in the perimeter formula to find the width.
__
Let w represent the width of the rectangle in centimeters. The length is 4 cm more, so can be represented by (w+4). Using these values and the given perimeter in the perimeter formula, we find ...
P = 2(L +W) . . . . . perimeter formula
20 = 2((w +4) +w) . . . . known values substituted
10 = 2w +4 . . . . . . . . divide by 2, collect terms
6 = 2w . . . . . . . . . subtract 4
3 = w . . . . . . . . divide by 2
The width of the rectangle is 3 cm.
__
Additional comment
The length is 7 cm.
Which construction uses the compass for only one step in addition to drawing the circle itself? an equilateral triangle inscribed in a circle a square inscribed in a circle a regular hexagon inscribed in a circle a diameter of a circle
Answers
The construction that uses the compass for only one step in addition to drawing the circle itself is A. an equilateral triangle inscribed in a circle.
What is a compass?It should be noted that a compass simply means a device that's used to show cardinal directions. It's also used in mathematics to draw shapes.
In this case, the construction that uses the compass for only one step in addition to drawing the circle itself is an equilateral triangle inscribed in a circle.
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Maria is tracking weight progress.She weighed 125 pounds in March and now she is 115 pounds. What is the percent change of her weight?
Answers
Answer:
10%
Step-by-step explanation:
if she weight 125 and is 115 pounds now then the percentage would = 10% because 125 - 115 = 10%