What is the approximate area of the shaded sector in the circle shown below? A. 150.8 cm2
B. 6.28 cm2
C. 37.7 cm2
D. 3.14 cm2
Answers
Answer:
C
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
(central angle is equal to the measure of the arc, that is 30° )
A = πr² × [tex]\frac{30}{360}[/tex]
= π × 12² × [tex]\frac{1}{12}[/tex]
= 144π ÷ 12
= 12π
≈ 37.7 cm² ( to the nearest tenth )
Related Questions
100 Points!!!
y(t) = distance of weight from equilibrium position
ω= angular frequency (measured in radians per second)
A = amplitude
Ø= phase (depends on initial conditions)
c1 = A sin
c2 = A cos
Prove that: Asin(ωt+Ø)=c2sinωt+c1cosωt
Note: c1 and c2 are actually with the number slightly below the letter, if that makes sense. It wouldn't let me type it that way. Anyway, if anyone can help I would really appreciate it! Thank you!
Answers
Answer:
An object moving along the x-axis is said to exhibit simple harmonic motion if its position as a function of time varies as
x(t) = x0 + A cos(ωt + φ).
The object oscillates about the equilibrium position x0. If we choose the origin of our coordinate system such that x0 = 0, then the displacement x from the equilibrium position as a function of time is given by
x(t) = A cos(ωt + φ).
A is the amplitude of the oscillation, i.e. the maximum displacement of the object from equilibrium, either in the positive or negative x-direction. Simple harmonic motion is repetitive. The period T is the time it takes the object to complete one oscillation and return to the starting position. The angular frequency ω is given by ω = 2π/T. The angular frequency is measured in radians per second. The inverse of the period is the frequency f = 1/T. The frequency f = 1/T = ω/2π of the motion gives the number of complete oscillations per unit time. It is measured in units of Hertz, (1 Hz = 1/s).
The velocity of the object as a function of time is given by
v(t) = dx(t)/dt = -ω A sin(ωt + φ),
and the acceleration is given by
a(t) = dv(t)/dt = -ω2A cos(ωt + φ) = -ω2x.
Which of the following is a solution to the equation 3/4x - 12 = -18?
4.5
-22.5
-40
-8
Answers
Answer:
-8
Step-by-step explanation:
3/4x=-18+12
x=-6×4/3
x=-8
Answer:
x = -8
Step-by-step explanation:
[tex] \frac{3}{4} x - 12 = - 18[/tex]
i) multiply both sides of equation with 4
[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]
[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]
[tex]3x - 48 = - 72[/tex]
ii) move -48 to the right-hand side and change its sign
[tex]3x = - 72 + 48[/tex]
iii) calculate the sum
[tex]3x = - 24[/tex]
iv) divide both sides of equation with 3
[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]
[tex]x = - 8[/tex]
8) Choose which postulate proves the triangles congruent. *
A) SAS
B) SSS
C) AAS
D) ASA
E) HL
Answers
Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!
Answers
Answer:
A or the first one
Step-by-step explanation:
Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly
Answer!
A car travels from A to B at a speed of 30 mph then returns, using the same road, from B to A at a speed of 65 mph. What is the average speed for the round trip?
Answers
Average with respect to what? If we take the time-weighted average, the two legs of the trip will be weighted differently (the leg from A to B taking 60/40 = 3/2 times as long as the leg from B to A), and we will get an average of 48 MPH.
But the time-weighted average is not the only average we can consider. We could also consider the distance-weighted average (which might be useful if we were considering, say, the wear on the road caused by such travel); then the two legs would be weighted equally and the average would be 50 MPH.
Often, when people speak about average speed, it's the former of these notions which is implicitly meant (since speed itself is distance over time, we have the nice property that the time-weighted average of speeds will always be the total distance over the total time), but the latter is a perfectly legitimate notion as well. Averages are always averages with respect to some weighting, and different weightings will give different averages.
Answer:
41 mphStep-by-step explanation:
s₁ = s₂ = x {the distance from A to B}
s = s₁ + s₂ = x + x = 2x {the distance of the round trip}
t = t₁ + t₂ {the time of the round trip}
v₁ = 30 mph
v₂ = 65 mph
t₁ = s₁/v₁ = x/30 h {the time of trip from A to B}
t₂ = s₂/v₂ = x/65 h {the time of trip from B to A}
The average speed:
[tex]v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41[/tex]
A number is equal to 3 times a smaller number. Also, the sun of the smaller number and 4 is the larger number. The
situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the larger
nunber
Answers
Answer:
y=3x and y=x+4
that is the third option
Step-by-step explanation:
let the larger number be y and the smaller one be x
From the mathematical statements,
y=3x
Also
y=x+4
How much time will it take for an amount of ₹9000 to yield ₹810 as interest at 4.5 % per annum of simple interest?
[Irrelevant answers will be reported]
Answers
Answer:
2 years
Step-by-step explanation:
Let us take the time period be t .
And , we know formula of SI as ,
[tex]\boxed{SI = \frac{PRT}{100}}[/tex]
[tex]\implies Rs 810 = \dfrac{Rs 9000 \times 4.5 \times t }{100}\\\\\implies t = \dfrac{810 \times 100 }{9000\times 4.5 } \\\\\underline{\boxed{\red {\implies Time = 2 \ years }}}[/tex]
Hey, can anyone help me with part A??
Answers
9514 1404 393
Answer:
3.75 cm
Step-by-step explanation:
Corresponding sides are proportional.
CD/BC = BC/AB
CD = (BC)²/AB . . . . . multiply by BC
CD = (6 cm)²/(9.6 cm) = (36/9.6) cm
CD = 3.75 cm
What is gross income? Gross income is money earned before taxes are taken from a paycheck. Gross income is money earned after taxes are taken from a paycheck. Gross income is money paid to fund firefighters and police officers. Gross income is money paid for taxes.
Answers
Answer:
Gross income is money earned before taxes are taken from a paycheck
Step-by-step explanation:
Gross income is money earned before taxes are taken from a paycheck
Gross income refers to the total amount of money earned by an individual over a specific period of time usually a year before any deductions such as taxes is made.
Gross income includes income earned from all sources. It can also be called Gross pay on a paycheck.
For example, if an individual earns $100 in a year and is expected to pay a tax of 2%. The gross income is $100 before tax is deducted
Ann's gym charges $20 per month plus $5 per visit. Blake's gym charges
$30 per month plus $3 per visit. Ann and Blake make the same number of
visits per month. How many visits would make their monthly costs equal?
O A. At 5 visits they will both cost $45
B. At 8 visits they will both cost $60
C. They will never cost the same
0
D. They will always cost the same
Edit:
Answers
Answer:
yea i def lost brain cells trying to answer this
Step-by-step explanation:
Answer:
It's A!
Step-by-step explanation:
Basically, I substituted numbers in and added the per-month cost and per-visit cost:
Ann: 25 Blake: 33 (1 visit)
Ann: 30 Blake: 36 (2 visits)
Ann: 35 Blake: 39 (3 visits)
Ann: 40 Blake: 42 (4 visits)
Ann: 45 Blake: 45 (5 visits)
Matt's saving account balance went from $325 at the beginning of the month to $195 at the end of the month. What was the percent of decrease?
Answers
Answer:
60%
Step-by-step explanation:
yes
Which statement best explains the relationship between
lines AB and CD?
O They are parallel because their slopes are equal.
O They are parallel because their slopes are negative
reciprocals.
equal.
negative reciprocals.
O They are not parallel because their slopes are not
O They are not parallel because their slopes are
Answers
Answer:
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A
Step-by-step explanation:
Parallel lines have equal slopes and different y-interceptsThe rule of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]In the given figure
∵ The blue line passes through points A and B
∵ A = (-4, -2) and B = (4, 4)
∴ x1 = -4 and y1 = -2
∴ x2 = 4 and y2 = 4
→ Substitute them in the rule of the slope
∵ m(AB) = [tex]\frac{4--2}{4--4}[/tex] = [tex]\frac{4+2}{4+4}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
∴ The slope of line AB is [tex]\frac{3}{4}[/tex]
∵ The green line passes through points C and D
∵ C = (0, -3) and D = (4, 0)
∴ x1 = 0 and y1 = -3
∴ x2 = 4 and y2 = 0
→ Substitute them in the rule of the slope
∵ m(CD) = [tex]\frac{0--3}{4-0}[/tex] = [tex]\frac{0+3}{4}[/tex] = [tex]\frac{3}{4}[/tex]
∴ The slope of line CD is [tex]\frac{3}{4}[/tex]
∵ The slope of line AB = the slope of line CD
∵ Parallel lines have the same slope
∴ AB // CD
∴ AB and CD are parallel lines
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"
Answer:
a. they are parallel because their slopes are equal
Step-by-step explanation:
did the review on edge
Which of the following represents a function
Answers
Answer:
D represents a function pretty sure I had a problem like this as well
Step-by-step explanation:
I hope this helped!! Please correct me if I was wrong :)
what is the MAD of 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89 ?
I'm very confused.
Answers
Answer:
11.16
Step-by-step explanation:
hope this helps
Please help! asap ill brainlist you :(
At midnight there were 5 inches of snow on the ground. Since then, snow has been falling at the rate of ½ inch per hour. Identify the y-intercept.
Answers
Answer:
5
Step-by-step explanation:
hope this helps!!!
PLEASE ANSWER FAST:
Zoey and her children went into a grocery store where they sell apples for $2 each and bananas for $0.50 each. Zoey has $8 to spend and must buy a minimum of 7 apples and bananas altogether. If x represents the number of apples purchased and y represents the number of bananas purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer:
(2,7)
Step-by-step explanation:
Variable Definitions:
x=
x=
\,\,\text{the number of apples}
the number of apples
y=
y=
\,\,\text{the number of bananas}
the number of bananas
\text{\textquotedblleft a minimum of 7 items"}\rightarrow \text{7 or more items}
“a minimum of 7 items"→7 or more items
Use a \ge≥ symbol
Therefore the total number of apples and bananas, x+yx+y, must be greater than or equal to 7:7:
x+y\ge 7
x+y≥7
\text{\textquotedblleft \$8 to spend"}\rightarrow \text{can spend \$8 or less}
“$8 to spend"→can spend $8 or less
Use a \le≤ symbol
One apple costs $2, so xx apples cost 2x.2x. One banana costs $0.50, so yy bananas cost 0.50y.0.50y. The total 2x+0.50y2x+0.50y must be less than or equal to \$8:$8:
2x+0.50y\le 8
2x+0.50y≤8
\text{Solve each inequality for }y\text{:}
Solve each inequality for y:
\begin{aligned}x+y\ge 7\hspace{30px}& 2x+0.50y\le 8 \\[0.8em] y\ge 7-x \hspace{30px}& 0.50y\le 8-2x \\[0.8em] \hspace{30px}& y\le \frac{8-2x}{0.50} \\[0.8em] & y\le 16-4x\end{aligned}
x+y≥7
y≥7−x
2x+0.50y≤8
0.50y≤8−2x
y≤
0.50
8−2x
y≤16−4x
Graph y\ge 7-xy≥7−x by shading up and graph y\le 16-4xy≤16−4x by shading down:
0
the number of apples
the number of bananas
x
y
0
the number of apples
the number of bananas
(2, 7)
Since the point (2, 7(2,7) is inside the double shaded region, one possible solution to the system of inequalities would be:
Zoey could buy 2 apples and 7 bananas.
Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x²+x-1=0
Answers
Answer:
x=1/2 or x=−1
Step-by-step explanation:
The solution to the quadratic equation is x = -1 or 1/2
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
2x² + x - 1 = 0 be equation (1)
And , roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
On simplifying , we get
x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4
x = [ -1 ± √ ( 1 + 8 ) ] / 4
x = [ -1 ± 3 ] / 4
So , the two values of x are
x = ( -1 - 3 ) / 4
x = -1
And , x = ( -1 + 3 ) / 4
x = 1/2
Therefore , the values of x are -1 or 1/2 respectively
Hence , the roots of the quadratic equation are -1 or 1/2 respectively
To learn more about quadratic equations click :
https://brainly.com/question/25652857
#SPJ7
Use the distributive property to remove the parentheses. -5(-6y - 3w + 2)
Answers
Answer:
−5(−6y−3w+2)
=(−5)(−6y+−3w+2)
=(−5)(−6y)+(−5)(−3w)+(−5)(2)
=30y+15w−10
=15w+30y−10
hey guys please help me oleaseee
Answers
Answer:
8'2
Step-by-step explanation:
Answer:
8'2
Step-by-step explanation:
what are you doing for math
Answers
algebra.............
Find the percent of increase from 15 lbs. to 31 lbs. Round to the nearest tenth if necessary.
Answers
The measure of a square side is 1.2 feet what is the perimeter of the square inches
Answers
Answer: It would be 4.8
Step-by-step explanation: Each side of a square is equal, there's 4 sides in a square, so you multiply 1.2 by 4. That should give you the perimeter.
1
II
III
IV
X
.
.
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1
Answers
Answer:
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1\
Step-by-step explanation:
Giving brainless don’t comment if u don’t know I’ll report you.
Answers
Answer:
Greater than 10 but less than 100.
Step-by-step explanation:
So 300% of 6 is 18.
10<18
18<100
Hope this helps <3
Can someone please explain how to do this?
I’m stuck and I need your help :(
Answers
Answer:
9 power 3 minus 3
so 9 power 0
Answer:
9^2
Step-by-step explanation:
Subtract the bottoms exponent from the top exponent. If you see no exponent there is always a one.
What appears to be the range of the part of the function shown on the grid?
(A) g(x) = 2x
(B) g(x) = x - 3
(C) g(x) = x - 8
(D) g(x) = 2x - 8
Answers
Answer:
D) g(x) = 2x-8
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to 8V6?
O A. 14
OB.
748
O C. 196
OD. 384
Reset
Answers
Given:
Consider the complete question is "Which expression is equivalent to [tex]8\sqrt{6}[/tex]? A. [tex]\sqrt{14}[/tex] B. [tex]\sqrt{748}[/tex] C. [tex]\sqrt{196}[/tex] D. [tex]\sqrt{384}[/tex]".
To find:
The equivalent expression.
Solution:
We have,
[tex]8\sqrt{6}[/tex]
It can be written as
[tex]=(\sqrt{8})^2\sqrt{6}[/tex]
[tex]=\sqrt{8}\cdot \sqrt{8}\codt \sqrt{6}[/tex]
[tex]=\sqrt{8\cdot 8\cdot 6}[/tex] [tex][\because \sqrt{a}\sqrt{b}=\sqrt{ab}][/tex]
[tex]=\sqrt{384}[/tex]
So, [tex]\sqrt{384}[/tex] is equivalent to [tex]8\sqrt{6}[/tex].
Therefore, the correct option is D.
the length of a rectangle is 4cm more than double its width. the perimeter of the rectangle is 116cm. Find the length and the width of the rectangle
Answers
Answer:
l = 31 cm
w = 27 cm
Step-by-step explanation:
l = w + 4
p = 2l + 2w
p = 2(w+4) + 2w
116 = 2(w+4) + 2w
116 = 2w + 8 + 2w
116 = 4w + 8
108 = 4w
27 = w
l = w + 4
l = 27 + 4
l = 31
hope this helps, pls mark brainliest :D
Answer:
w=18 L=40
Step-by-step explanation:
w
---------
| |
| | 2w+4
| |
---------
2(2w+4)+ 2(w)=116
6w+8=116
6w=108
w=18
2(18)+4
36+4
40
Los animales ______ al río. (2 points)
A eran B estudiaban C tomaban D iban
Answers
solve for x parallel
Answers
Answer:
25
Step-by-step explanation:
3x - 5 = 2x + 20 ( corresponding angles)
3x - 2x = 20 + 5
x = 25