Answers
Answer:
ABC shaded area = 36[tex]\pi[/tex] - 72 cm²
ABC shaded area perimeter = [tex]6\pi +12\sqrt{2}[/tex] cm
ABCD area = [tex]\dfrac52 \pi[/tex] cm²
ABCD perimeter = [tex]3\pi +2[/tex] cm
Step-by-step explanation:
Shape ABC
Assuming you want the area and perimeter of the shaded part of the shape only...
Area
Area of a sector = [tex]\dfrac12r^2\theta[/tex] (where r is the radius and [tex]\theta[/tex]
⇒ area of a sector = [tex]\dfrac12 \times 12^2\times \dfrac{\pi}{2} =36\pi \ \textsf{cm}^2[/tex]
Area of triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 12 x 12 = 72 cm²
Therefore, area of shaded area = area of sector - area of triangle
⇒ area = 36[tex]\pi[/tex] - 72 cm²
Perimeter
Arc length = [tex]r\theta[/tex] (where r is the radius and [tex]\theta[/tex]
⇒ arc length = [tex]12\times\dfrac12\pi =6\pi \ \textsf{cm}[/tex]
Hypotenuse of triangle = [tex]\sqrt{a^2+b^2}[/tex] (where a and b are the legs of the right triangle)
⇒ hypotenuse = [tex]\sqrt{12^2+12^2} =12\sqrt{2}[/tex] cm
Therefore, perimeter = arc length + hypotenuse
⇒ perimeter = [tex]6\pi +12\sqrt{2}[/tex] cm
Shape ABCD
Area
Area of a semicircle = [tex]\dfrac12 \pi r^2[/tex] (where r is the radius)
⇒ area of large semicircle ABC = [tex]\dfrac12 \times \pi \times 2^2=2\pi \ \textsf{cm}^2[/tex]
⇒ area of small semicircle AD = [tex]\dfrac12 \times \pi \times 1^2=\dfrac12\pi \ \textsf{cm}^2[/tex]
⇒ area of shape ABCD = [tex]\dfrac12 \pi + 2 \pi=\dfrac52 \pi \ \textsf{cm}^2[/tex]
Perimeter
1/2 circumference = [tex]\pi r[/tex]
⇒ perimeter = [tex]2\pi +2+\pi=3 \pi+2 \ \textsf{cm}[/tex]
Related Questions
solve and simplify 5 1/5 x 4 3/4
Answers
Answer:
Exact Form:
247/10
Decimal Form:
24.7
Mixed Number Form:
24 7/10
Step-by-step explanation:
Answer:
24.7 or 109 13/20
Step-by-step explanation:
Follow PEMDAS order of operations
The P represents parenthesis
The E represents exponents
M=Multiplication
D=Division
A=Addition
and S=Subtraction
Multiply & Divide (Left to right)
Convert Improper fractions to mixed numbers
Which point represents a solution to the equation y = −x 2 − 8? A (−2, −12) B (−1, −7) C (1, −7) D (2, −4)
Answers
x + y = 8
how do i solve for x
Answers
Answer:
x = 8 - y
Step by step explaination:
==>x + y = 8
==> x = 8 - y
==> substract the value
==> Done
find the unknown sizes of angles
Answers
Answer:
x = y = 64°
Step-by-step explanation:
It is an isosceles triangle ...
[tex]x=y=\frac{180-52}{2} =\frac{128}{2} =64[/tex]
Hope this helps
Answer:The solution is in the attached file
Step-by-step explanation:
Lex, Mattie, Penelope, and Wallace shares pound of candy equally. How much candy does each person get?
pound
pound
pound
2 pounds
Answers
explanation: 1/5 = 0.2, then divide 0.2 and you get 0.05, 1/20 is equal to 0.05 so, 1/20 is the answer
Answer:
0.05 as decimal
1/20 as fraction
Step-by-step explanation:
Flip the reciprocal and multiply to get the answr you make the 4 into a fraction by doing this ; 4/1 and flip it like this; 1/4. Then multiply it to get 1/20
Have an amazing day!
Please rate and mark brainliest!
Find the equation of the line.
Use exact number
Y= X+
Answers
Answer:
y=0.25x -9
Step-by-step explanation:
you can use y=mx+c
PLEASE HELP FOR BRIANLEST PLEASE
Answers
Answer:
The equations in the system have different intercepts so there are two solutions
During a sale, a baseball team allows people to buy either a classic ticket (C), or an autograph event ticket (A). Suppose two customers buy one ticket each. What is the sample space for this action? Drag and drop the choices into the box to correctly complete the table. If an item is not in the sample space, do not drag it to the table.
Answers
Sample size is the number of subjects that are included in research or survey. The sample space for this action is CC, CA, AC, and AA.
What is a sample size?Sample size can be defined as the number of subjects that are included in research or survey.
As it is given that there are two customers, and each of the customers buys any one of the two tickets, a classic ticket (C), or an autograph event ticket (A).
Now, as each of the customers has two choices, therefore, the sample space for this action can be written as,
CC - When both of the customers buy a classic ticket.
CA - When the first customer buys a classic ticket(C) while the other buys an autograph event ticket (A).
AC - When the first customer buys an autograph event ticket (A) while the other buys a classic ticket(C).
AA - When both of the customers buy an autograph event ticket (A).
Hence, the sample space for this action is CC, CA, AC, and AA.
Learn more about Sample Size:
https://brainly.com/question/25894237
Fernando had to pay $1.40 in sales tax when he purchased a shirt. If the sales tax rate is 7%, how much did his shirt cost? please give explanation thank you
Answers
Answer:
it's answer is 1.34 but it can be wrong also
Answer:
$20
Step-by-step explanation:
Fernando paid $1.40 as sales tax and the sales tax rate is 7%.
We can write,
Total cost * 7% = 1.4
Total cost = 1.4/0.07 SInce 7% = 0.07
So, total cost = $20
Elisa used 4 cups of flour to
make her cupcakes. If she
only made a batch,
how much flour would she
need?
Answers
Answer:
i think there is missing context?
Find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
x = 2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² = ([tex]\sqrt{12}[/tex] )² + ([tex]\sqrt{12}[/tex] )² [ the 2 legs are congruent ]
x² = 12 + 12 = 24 ( take square root of both sides )
x = [tex]\sqrt{24}[/tex] = [tex]\sqrt{4(6)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = 2[tex]\sqrt{6}[/tex]
What is the area of this trapezoid?
Enter your answer in the box
Answers
Answer:
5390
Step-by-step explanation:
11x14x35 = 5390
There are 60 seconds in a minute. Therefore, there are _______ seconds in 5 1/2 minutes.
Answers
Answer:
330 seconds
Step-by-step explanation:
60(5.5)
Find the new concentration of a solution if 25. 0 mL of water is added to 125. 0 mL of 0. 150 M NaCl solution. What is the final volume? mL.
Answers
Part A: The final volume of the new solution is 150 mL.
Part B: The concentration of the new solution is 0.125 M.
What is the volume?The volume of liquid is defined as the amount of liquid in a three-dimensional container. Volume is the quantity of three-dimensional space occupied by a liquid.
Given that the molarity of NaCl solution is 0.150 M, the volume of NaCl solution is 125 mL, the volume of water added is 25 mL.
Part A:
The final volume of the new concentrated solution is calculated as given below.
[tex]V = 125 + 25[/tex]
[tex]V = 150 \;\rm mL[/tex]
The final volume of the new solution is 150 mL.
Part B:
The mole of the NaCl solution is calculated using the molarity formula.
Molarity of NaCl solution = 0.150 M
Volume of NaCl solution = 125mL or 0.125 L
Molarity = Mole of NaCl solution / Volume of the NaCl solution
[tex]0.150 = \dfrac {Moles}{Volume}[/tex]
[tex]0,150 = \dfrac {Moles}{0.125}[/tex]
[tex]Moles \;= 0.01875[/tex]
The moles of NaCl solution is 0.01875 mole which remains same when water is added. Thus, the molarity of the new concentration can be calculated as given below.
Molarity = Moles of NaCl / Volume of new solution
Molarity = [tex]\dfrac {0.01875}{0.150}[/tex]
Molarity = 0.125 M
Hence we can conclude that the concentration of the new solution is 0.125 M.
To know more about the volume, follow the link given below.
https://brainly.com/question/24650225.
2. Find the number of sides of the polygon given the measure of an interior angle of said polygon.
166. 15°
Answers
Answer:
Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For example, 360 divided by 15 equals 24, which is the number of sides of the polygon.
Step-by-step explanation:
brainliest please!!!!
simplify
(7•87-12•09)×(-3•44)
Answers
Answer:
=−66132x
Step-by-step explanation:
((7)(87)−(12)(9))(x)((−3)(44))
=−66132x
Can somebody help me with these problems please
Answers
Answer:
[tex]\huge\sf{Solutions :- }[/tex]7. Cos Z=> Cos theta = Base /Hypotenuse
=> Cos Z = 30/50 => 3/5
★ So, Option B) 3/5 is a correct answer.
_______________________
8. Cos X
=> Cos theta = Base/Hypotenuse
=> Cos X = 12/37
★ So, option D) 12/37 is a correct answer.
________________________
9. Sin Z=> Sin theta = Perpendicular/Hypotenuse.
Sin Z = 16/20 => 4/5
★ So, option C) 4/5 is a correct answer
_____________________10. Sin Z=> Sin theta = Perpendicular/Hypotenuse
Sin Z = 48/50 => 24/25
★ So, option A)24/25 is correct answer
________________________
What is the formula for the area of a circle?
O A. A=225
B. A=212
C. A=ard
O D. A= 529
Answers
HELP!!! can -21/21 be simplified?
Answers
Answer:
Yes
Step-by-step explanation:
since it is -21/21 you can divide it by 21, -21/21=-1, 21/21=1
hence, -1/1
-1/1=-1
Need help with number 9 very urgent !!! Pls show work
Answers
b. Draw a graph with no scattering and is going downwards
What is the length of line HI and IJ
Answers
Point H is even with point E and I is exactly half way in between E and F. EF = 40 half of that is 20. This also works with HG, BC, and JK.
HI and IJ are the same length so both are 20mm
Answer:
HI = [tex]4\sqrt{41}[/tex] , IJ = [tex]4\sqrt{41}[/tex]
Step-by-step explanation:
The number of AB spaces is 15, the BC is 20, and the CD is 15. Looking at the given length, you can see that it is twice the number of cells.
If you draw a line perpendicular to the line HG in I, it becomes a right triangle. The lengths of HI and IJ can be calculated using Pythagoras on a right triangle.
Suppose that the vertical line is L.
HL = 10
IL = 8
(HI)² = (HL)²+ (IL)² = 10²+8²=164
HI = [tex]2\sqrt{41\\[/tex] -> (It's twice the number of spaces.) -> HI = [tex]4\sqrt{41}[/tex]
IJ can be obtained in the same way.
IJ = [tex]2\sqrt{41\\[/tex] -> (It's twice the number of spaces.) -> IJ = [tex]4\sqrt{41}[/tex]
4
Which ordered pair is NOT a point on the
graph of y = x?
XF
x (12, 6)
G)-(=4, =2)
(-6,3)
J
(2, 1)
Answers
Answer:
enough for you and you to have to do
1) A baseball is thrown in the air with an initial velocity of 18 meters/second from a height of 1.5 meters: Which equation represents the ball's height, h, in meters, as a function of time, t, in seconds?
Answers
Now apply second equation of kinematics
[tex]\\ \rm\hookrightarrow h=ut-\dfrac{1}{2}gt^2[/tex]
[tex]\\ \rm\hookrightarrow h=18t-1/2(10)t^2[/tex]
[tex]\\ \rm\hookrightarrow h=18t-5t^2[/tex]
The Impossible Triangle
Which of these three triangles is impossible to draw? Explain.
You may use the Three Angles applet to test your thinking.
1. A triangle where one angle measures 20° and another angle
measures 45º. 115
2. A triangle where one angle measures 120° and another angle
measures 50°
3. A triangle where one angle measures 90° and another angle
measures 1000
END
Summary
Answers
Answer: Triangle 3
Step-by-step explanation:
The angle measures have to add to 180 degrees, so triangle 3 is impossible as it already exceeds this sum with the 2 given angles.
Find the equation of the line which is parallel to y = 4x + 3 and goes through the point (4, 5)
Answers
Answer:
y = 4x - 11Step-by-step explanation:
The given line has a slope m = 4.
We know parallel lines have equal slopes.
Use point - slope equation and substitute the coordinates of the given point to get:
y - 5 = 4(x - 4)y - 5 = 4x - 16y = 4x - 16 + 5y = 4x - 11What is the solution to the following system of equations?
x − 3y = 6
2x + 2y = 4
(-1, 3)
(3, -1)
(1, -3)
(-3, 1)
Answers
Answer:
(3, -1) is your answer
Step-by-step explanation:
x − 3y = 6
2x + 2y = 4
|
x - 3y=6
x+y=2
The tallest tree in the world is 379 feet tall. How tall will each of the trees be in the year 2030 if their models continue? Is this reasonable for each tree?.
Answers
Models are patterns that are used to predict measurements and populations
How to model the treeThe question is incomplete, as the model and the dataset to model that growth of the tree are not given.
So, I will give a general explanation
If the model of the tree follows a linear model (e.g y = 2x + 3), then the model is not reasonable.
This is so because, population and growth cannot be measured by a linear model
However, if the growth of the trees follow an exponential model (e.g y = 2(3)^x), then the model is reasonable
Read more about mathematical models at:
https://brainly.com/question/24282972
Describing Steps Used to Solve an Equation with Decimals
Examine the steps used to solve the equation.
12.5x − 10.2 = 3(2.5x + 4.2) - 6
1. 12.5x − 10.2 = 7.5x + 12.6 − 6
2. 12.5x − 10.2 = 7.5x + 6.6
3. 12.5x = 7.5x + 16.8
4. 5x = 16.8
5. x = 3.36
Analyze the steps to determine which properties or procedures were used to complete each step
Step 1:
✔ distributive property
Step 2:
✔ combining like terms
Step 3:
✔ addition property of equality
Step 4:
✔ subtraction property of equality
Step 5:
✔ division property of equality
Answers
If I have an 88.9% what will I need next quarter to get an A??
Answers
Answer:
You need 3-4 tests with at least 10pts with a 90-100%
Step-by-step explanation:
I have an A
Answer:
it depends on how much your quizzes and tests are worth but it looks very close to an A so I'd say maybe 1 quiz
find the surface area
Answers
Answer:
70 inches²
Step-by-step explanation:
We can break this shape up into 5 different shapes.
Two triangles, and three rectangles.
The three rectangles will be A = L * W and are all the same size,
A = L * W
A = 3(L * W)
A = 3(10 * 2)
A = 3(20)
A = 30 inches²
Now, we need to find the area for the two triangles. Usually, you would take the base times the height and divide by two, but since we have two triangles of the same size we do not need to divide by two,
A = B * H
A = 10 * 4
A = 40 inches²
Last, we will add the two areas for the triangles and rectangles together,
40 inches² + 30 inches² = 70 inches²
