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short its an MCQ
If the diameter of 3 circles is in the ratio 4: 2: 1. The perimeter of the smallest circle is 8 cm. Then the area of
the shaded region is
Answer:
216[tex]\pi[/tex]
Step-by-step explanation:
Given the figure.
And the perimeter in the ratio 4: 2: 1.
Perimeter of smallest circle = [tex]8\pi[/tex]
To find:
Area of shaded region.
Solution:
To find the area, we need to have radius first.
And radius can be calculated by the given perimeter.
Formula for Perimeter is given as:
Perimeter = [tex]2\pi r[/tex]
[tex]8\pi = 2\pi r\\\Rightarrow r = 4\ cm[/tex]
Radius of smallest circle = 4 cm
Ratio of perimeter is equal to the ratio of the radii.
Radius of 2nd smallest circle by the given ratio = 8 cm
Radius of largest circle = 16 cm
Area of a circle is given the formula:
[tex]A = \pi r^2[/tex]
Area of the smallest circle = [tex]\pi 4^2 = 16\pi\ cm^2[/tex]
Area of the 2nd smallest circle = [tex]\pi 8^2 = 64\pi\ cm^2[/tex]
Area of the largest circle = [tex]\pi 16^2 = 256\pi\ cm^2[/tex]
Area of the shaded region = Area of largest circle + 2 [tex]\times[/tex] Area of 2nd smallest circle + 3 [tex]\times[/tex] Area of smallest circle - 2 [tex]\times[/tex] Area of smallest circle - 3 [tex]\times[/tex] Area of 2nd smallest circle
Area of the shaded region = Area of largest circle - Area of 2nd smallest circle + Area of smallest circle = [tex]256\pi - 64\pi +16\pi = 216\pi[/tex]
Write the equation of the line shown. Be sure to use the correct variable.
Equation:
Answer:
y = -9Step-by-step explanation:
As per diagram, y = -9 for any value of x, so it is the line with equation:
y = -9The diagonals of rhombus ABCD intersect at E. Given that m∠CAD=20° and CE=4, find the m∠BCA.
Answer:
BCA = 20 degrees
Step-by-step explanation:
A rhombus is an equilateral quadrilateral, with all four of its sides having the same length. In addition to that, one important geometric property that will really help us with this problem is the fact that the opposite sides of a rhombus are parallel.
This means that BC ||AD.
Consequently, because BC ||AD,
m∠CAD = m∠BCA.
This is because they are alternate angles.
The alternate angle equality can be used in geometrical problems where you detect two parallel lines cut across by a transversal. in this, our case, the parallel lines BC and AD were transversed by AC.
This makes m∠CAD = m∠BCA because they are alternate angles)
What is the value of the expression
3x - (y/2 + 5)
When x=3.5 y=4
A 0.5
B 1.2
C 2.5
D 3.5
Answer:
D 3.5
Step-by-step explanation:
Replace values in the equation with values given. Calculate.
Answer:
D: 3.5
Step-by-step explanation:
Paul's English class is located in the same quadrant as the library. Which of the following could be the coordinates of the English classroom?
(4, 5)
(−4, 5)
(−4, −5)
(4, −5)
The number of student of schoolwas 450 last year and it is 396 this year.By how many percent did the number decrease
Step-by-step explanation:
450 - 396 = 54
(54/450) * 100% = 12%
Hence the decrease is 12%.
Answer:
12%Step-by-step explanation:
The way to solve is to divide the number.
396/450 = 0.88 or 88%
Now, we subtract 88 from 100 to get 12, since we wanted the percent decrease.
Jonathan is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months. Write an equation for C,C, in terms of t,t, representing the total cost of the gym membership over tt months.
Answer:
C(t) = 25+34.37t
Step-by-step explanation:
It is given that,
The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months.
We need to write an equation for C in terms of t representing the total cost of the gym membership over t months.
At t=0, Jonathan pays $25 as joining fee.
Equation will be :
C(t) = Co+kt
Initially, Co = 25
C(t) = 25
At t = 8,
C(8) = 25 + k(8) = 300
8k = 275
k = 34.37
⇒ C(t) = 25+34.37t
Hence, this is the required equation.
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Point G is the centroid of ∆ ABC, AD = 8, AG = 10, BE = 10, AC = 16 and CD = 18.Find the length of each segment. 30. If Point G is the centroid, then Point T is the point of concurrency of
A museumcharges forgeneraladmission and exhibitions. Admission and 3 exhibitionscosts $45. Admission and 5 exhibitionscosts $65. What is the price of admission (initial value)
a. 15
b. 5
c. 8
d. 3
Answer:
a
Step-by-step explanation:
I guessed
If Ling ling has 2 eyes and wöng also has 2 eyes what is the value of X? (Total amount of eyes)
Answer:
X=4
Step-by-step explanation:
brainliest please
Answer:
0
Step-by-step explanation:
Because they're asian? is that the joke?
Please help me solve this problem
Answer:
8 feet
Step-by-step explanation:
Since 4 feet is in the middle, multiply it by 2. It is 8.
A baseball ticket costs $75, but they are having a
promotional game night and all tickets are 35% off. What is
the new price of the ticket?
Is 74.65 correct
I need help with 3x-2y=24
Answer:
y= 3/2x -12
Step-by-step explanation:
subract x then u got -2y=-3x+24
divide everythang by -2
then u got y=3/2x -12
4x+7y=19
y=x+9
substitution method
Answer:
Point Form: (-4,5)
Equation Form: x=-4,y=5
Step-by-step explanation:
Please give me brainiest!!!
Help please
I’ll mark brainlist!
Answer:
Answer is (a)
Step-by-step explanation:
Hope it's answer you plz Mark as Brainlist
Point K lies at (-3,4). Point K is reflected over the y-axis and then translated 7 units down to produce K’. Which rule could have been used to produce K’ from K?
Answer:
K(x, y) —> K’(-x, y - 7)
Step-by-step explanation:
Evaluate and simplify the following complex fraction. 9 − 5 − 3 8 = 8 −3 −5 9 =start fraction, space, start fraction, 9, divided by, minus, 5, end fraction, space, divided by, start fraction, minus, 3, divided by, 8, end fraction, end fraction, equals
Answer:
[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{24}{5}[/tex]
Step-by-step explanation:
Operations With Fractions
The division of the fractions \frac{a}{b} and \frac{c}{d} can be calculated by multiplying the first by the reciprocal of the second fraction:
[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}*\frac{d}{c}[/tex]
We are given the following division of fractions:
[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{9}{-5}*\frac{8}{-3}[/tex]
Multiplying and simplifying:
[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{9}{5}*\frac{8}{3}[/tex]
[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{9*8}{5*3}[/tex]
Simplifying by 3:
[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{3*8}{5}[/tex]
[tex]\mathbf{\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{24}{5}}[/tex]
Item 5
During a camping trip, Tony hikes 1312mi in one day. He hikes 214mi each hour.
How many hours does it take Tony to complete his hike?
Divide.
2/3÷4/5
Evaluate k(4) for the function k(x)=18−2x
Answer:
k(4) = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
k(x) = 18 - 2x
k(4) is x = 4
Step 2: Evaluate
Substitute in x: k(4) = 18 - 2(4)Multiply: k(4) = 18 - 8Subtract: k(4) = 10hey guys im failing math can you guys help me?
Which system of inequalities is shown?
Plz help I’ll give brainliest
help me please thank you
Answer:
Number 1. Hope you can read that
Step-by-step explanation:
At a department store, a total of 12,568 DVDs were sold last year. The circle graph below shows the percentage of each type of DVD sold.
According to the circle graph, about how many action/adventure DVDs were sold last year?
A.
6912
B.
6284
C.
5656
D.
4399
Answer:
A 6912
Step-by-step explanation:
If you take 12,568 and subtract 45% from it you get 6912.4 but with no decimal
△ABC has vertices A(–2, –2), B(1, –1), and C(2, 0). Find the image of △ABC after a dilation centered at the origin with a scale factor of 2.
Answer:
see explanation
Step-by-step explanation:
since the dilatation is centred at the origin , then multiply each of the coordinates of A, B, C by the scale factor 2, that is
A' = (2(- 2), 2(- 2) ) = A'(- 4, - 4 )
B' = (2(1), 2(- 1) ) = B'(2, - 2 )
C' = (2(2), 2(0) ) = C'(4, 0 )
Answer please?
Thank you!
Answer:
ok
Step-by-step explanation:
please help me on this.
Answer:
niether are a function
Luis receives a gift card worth $100 to an online retailer that sells digital music and games. Each song costs $1, and each game costs $5. He wants to buy at least 30 items with this card. Select the correct system of inequalities from the multiple choice below.
Answer:
You can by 20 games and spend the whole $100 or you can subtract 1 game from the 20 for every 5 songs.
Step-by-step explanation:
Answer:
Luis receives a gift card worth $100 to an online retailer that sells digital music and games. Each song costs $1, and each game costs $5. He wants to buy at least 30 items with this card. Select the correct system of inequalities from the multiple choice below.
What's the square root of 64?
Answer:
Step-by-step explanation:
Tony walks 1/4 a mile in 1/5 of an hour. Determine
how many miles he is walking per hour.
Answer:
he is walking 4 miles per hour
Step-by-step expl
PLEASE HELP WILL AWARD BRAINLIEST TO BEST ANSWER!!!
Answer:
See below
Step-by-step explanation:
[tex] In\: \triangle AKL, \:\\ AK = 9,\: \\m\angle K = 90\degree, \: \\m\angle A= 60\degree \\
\therefore m\angle L = 30\degree\\
By \:30°-60°-90° \:\triangle \:theorem:\\
AK = \frac{1}{2} \times AL\\(SIDE\: OPPOSITE \:TO \:30\degree) \\\\
9 = \frac{1}{2} \times AL\\\\
AL = 9\times 2\\\\
\huge\red{AL = 18}\\\\
KL = \frac{\sqrt 3}{2} \times AL\\(SIDE\: OPPOSITE \:TO \:60\degree) \\\\
KL = \frac{\sqrt 3}{2}\times 18\\\\
KL = 9\times \sqrt 3\\\\
\huge\purple{KL = 9\sqrt 3}\\\\
P(\triangle AKL) = AK + KL + AL\\
P(\triangle AKL)= 9 + 9\sqrt 3+18\\
\huge\orange{P(\triangle AKL)=(27 + 9\sqrt 3) \: units} \\\\
A(\triangle AKL) = \frac{1}{2} \times KL\times AK\\
A(\triangle AKL) = \frac{1}{2} \times 9\sqrt 3\times 9\\
A(\triangle AKL) = \frac{81\sqrt 3}{2} \\
\huge\pink{A(\triangle AKL) = 40.5\sqrt 3\: units^2} [/tex]