Answer:
Step-by-step explanation:
The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle of the circle. For us, that fills in as follows:
[tex]48\pi=\frac{270}{360}*\pi r^2[/tex] and manipulate it as follows:
[tex]r^2=\frac{(360)(48\pi)}{270\pi}[/tex] the π's cancel out, leaving us with simple multiplication and division to get
r = 8. Now for the next one, which is a bit more involved.
In order to find the area of the shaded part, we need to find the area of the right triangle there and subtract it from the area of the sector of the circle. First the area of the sector, which is given as:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ again is the measure of the central angle of the circle, 90°:
[tex]A_s=\frac{90}{360}(3.1415)(10)^2[/tex] which simplifies a bit to
[tex]A_s=\frac{1}{4}(3.1415)(100)[/tex], giving us an area of
[tex]A_s=78.5375m^2[/tex]. Now onto the area of the triangle.
Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:
[tex]A_t=\frac{1}{2}(10)(10)[/tex] which is
[tex]A_t=50m^2[/tex]
Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.
|- 3x| >= - 7
CAN SOMEONE PLEASE GIVE ME THE SOLUTION SET TO THIS INEQUALITY( WORTH 100 POINTS)
Answer:
x < [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
Have a great summer :)
Answer:
someone answered this and its correct
Step-by-step explanation:
:D
Can you guys help me find the answer
Answer:
Step-by-step explanation:
Start by looking at the face that is closest to the bottom left. It is a hexagon and it makes 1 face.
It is connected to a similar hexagon on the upper right by 6 tiles. So that adds 7 more faces.
The total is 2 hexagons + 6 rectangles = 8 faces.
I need help on both questions!
Answer:
9 sq.m
Step-by-step explanation:
because the area of triangle is 1/2 *b*h
Answer:
The area of the triangle is 9 sq. m.
Step-by-step explanation:
The formula of a triangle is 1/2 BH (Base times height divided by two) therefor 6x3/2 is 9, so your answer is 9 sq. m.
what is the minimum and maximum of f(x)=-10x^3+6x-2
Answer:
Minimum: [tex](\frac{\sqrt{5} }{5},-2+\frac{4\sqrt{5} }{5})[/tex]
Maximum: [tex](-\frac{\sqrt{5} }{5} ,-2-\frac{4\sqrt{5} }{5} )[/tex]
Step-by-step explanation:
PLEASE HELP I NEED IT REALLY FAST!!!!
The length is 5
Step-by-step explanation:
Let the length be x
Width = ( X - 2)
Area = 15
area = length * width
15 = x(x -2)
15 = x² - 2x
x² - 2x - 15 = 0
(x² + 3x) - (5x - 15) = 0
x(x + 3) - 5(x + 15) = 0
x - 5 = 0 or x + 15 = 0
x =5 or x = -15
x = 5
Brainliest goes to whoever answers correctly also if you want more points then answer my others
Answer:
It is a value that is an abnormal distance from the other values in a data set.
Step-by-step explanation:
An outlier is something that stands out from another thing. Such as color in a black and white film.
Ed has a recipe that uses [tex]\frac{2}{3}[/tex] cup of flour for each batch. If he makes 4 batches, how many cups of flour will he need? Answer in a fraction pls! Will give brainliest!
Answer:
The formula for this would be [tex]2/3 \times4[/tex]
Since we need to multiply the fraction against the amount of batches, to get the final result of cups of flours. (It only makes sense!)
8/3 is the correct answer
2 2/3 is the mixed fraction
Answer as an improper fraction: 8/3
This converts to the mixed number 2 & 2/3
So he'll need 2 whole cups plus another 2/3 of a cup.
===========================================================
Explanation:
1 batch uses 2/3 of a cup
4 batches uses 4*(2/3) = (4/1)*(2/3) = (4*2)/(1*3) = 8/3 of a cup
Simply multiply 2/3 by 4 to get 8/3.
-----------
If you need to convert to a mixed number, then you could follow these steps
8/3 = (6+2)/3
8/3 = 6/3 + 2/3
8/3 = 2 + 2/3
8/3 = 2 & 2/3
Or you could note that 8/3 = 2.667 approximately. The decimal portion 0.667 converts to the fraction 2/3.
Question: 1-19
A function has the points (1,5), (3,6), (4, 10), and (x, y).
Which point, (x, y), would keep this a function?
O
(4, 11)
(4,5)
(3,8)
о
(6,3)
Answer: (6,3)
Step-by-step explanation:
what is the range of 20,15,10,5
Answer:
15
Step-by-step explanation:
Since range is the difference between the highest valued character and the smallest
20-5=15
Out of the people who have already taken their seats at a seminar, 2 people have black hair while 2 people do not. Considering this data, how many of the next 16 people to take their seats should you expect to be black-haired?
Answer:8
Step-by-step explanation:
We can expect 8 of the next 16 people to have black hair, based on the given information.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Since 2 out of the total number of people who have already taken their seats at the seminar have black hair
we can assume that the probability of a person having black hair is 2 out of the total number of people who have taken their seats.
The probability of a person having black hair can be expressed as:
P(black hair) = 2/(2+2) = 1/2
This means that out of the total number of people who have already taken their seats, half of them have black hair.
If we assume that the next 16 people to take their seats are chosen randomly and independently from the population,
we can use the expected value formula to calculate the number of people with black hair we would expect among those 16 people:
Expected value = total number of people x probability of having black hair
Expected value = 16 x (1/2)
Expected value = 8
Therefore, we can expect 8 of the next 16 people to have black hair, based on the given information.
To learn more on probability click:
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Dmitri began working on his homework at 3:15 p.m. He worked for 1 5/6 hours and then stopped to have dinner. He started working on his homework again at 6:32 p.m. and worked for 1 1/3 hours longer. How many minutes did Dmitri work on his homework in all?
1 5/6 + 1 1/3 = 3 1/6
3 1/6 * 60 = 190
please help me :(
Any Maths Moderator:( please help me; I am in great trouble
Answer: (I am not a maths moderator)
x=4
Step-by-step explanation:
Multiply the exponents
(2x-4)^12=(4^2)^6 (exponents multiply so)
(2x-4)^12=4^12
4^12 = 16777216
(2x-4)^12= 16777216
Take the 1/12 exponent for both sides
that will remove the ^12 exponent from the left side and will take the 12th root for the right.
2x-4=4
add 4 to both sides
2x=8
divide both sides by 2
x=4
Answer:
x=4
Step-by-step explanation:
[tex](2x-4)^{12}[/tex] =[tex]16^{6}[/tex]
2x-4=[tex]\sqrt[12]{16^{6} }[/tex] =4
x=4
A population of bacteria can be modeled by the function f(t) = 1000(0,98)", where t represents
the time since the population started decaying, and f (t) represents the population of the
remaining bacteria at time t. What is the rate of decay for this population?
Answer:
Decay rate of 2%
Step-by-step explanation:
Since there is no information about the units for time, merely stating that the decay rate is 2% will suffice. The decay rate for when r < 1 is found by finding 1-r, so the rate of decay is .02, or 2%.
What is The 10th prime number
Answer:
The 10th prime number is
Step-by-step explanation:
Prime numbers can only be divided by 1 and itself. The 10th prime number in this case would be 29.
round the whole number 21,908 to the nearest thousands place
Answer:21,908 is 22,000 to the nearest thousand. the digits after the 1 of 21 is 9. So we round up
Whoever answers these 2 right gets brainliest and 25 points!
Answer:
1. C) 8•9
2. D) 4•2
Step-by-step explanation:
1. multiplication come first before division
2. You have to resolve parenthesis first (3+4•2)
3•24÷12-(3+8)
Answer:
i think c and d
Step-by-step explanation:
math
Solve for x.
A. 12
B. 1
C. 3
D. 5
Answer:
1
Step-by-step explanation:
hope this helps <3
The value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle shown in the picture.
From the tangent-chord angle theorem:
Angle CBA = (1/2)[360 - (272x+2)]
Angle CBA = (1/2)[360 - 272x - 2]
Angle CBA = (1/2)[358 - 272x ]
43x = 179 - 136x
179x = 179
x = 1
Thus, the value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.
Learn more about circle here:
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Solve for xxx. Enter the solutions from least to greatest. (x + 5)^2 - 64 = 0
Answer:
x1= -13,x2=3
Step-by-step explanation:
we have
(x+5)^2 -64=0
<=>x^ 2 + 10x+ 25-64=0
<=>x^ 2+10x-39=0
<=>( x-3).(x+13)=0
Answer:
-13, 3
Step-by-step explanation:
khan
I need help with another too! :( I will mark brainliest! You will get 30 pionts
the picture is right there too! The question is also in the picture too!
I hope you could see it clrealy!
Answer:
130°
Step-by-step explanation:
Angle 3 and 7 are the same so angle 7 is 50°
180° is the angle of a straight line so we take 50 away from 180 giving us 130°.
Hope this helps! :)
Eight expressions are given below. Determine whether each expression is equivalent to 5^10 or not equivalent to 5^10.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the 8 expressions are not given.
The general explanation is as follows
As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.
Then you categorize each result, depending on if it equals [tex]5^{10}[/tex] or not
Take for instance:
[tex]5^5 * 5^5[/tex]
Using law of indices:
[tex]5^5 * 5^5 = 5^{5+5[/tex]
[tex]5^5 * 5^5 = 5^{10[/tex] ---- equivalent
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}}[/tex]
Factorize the numerator
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5(1 + 1)}{2 * 5^{-5}}[/tex]
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5 * 2}{2 * 5^{-5}}[/tex]
Cancel out 2
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5}{5^{-5}}[/tex]
Apply law of indices
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5--5}[/tex]
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5+5}[/tex]
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{10[/tex] ---equivalent
[tex]125 * 78125[/tex]
Express as exponent
[tex]125 * 78125 = 5^3 * 5^7[/tex]
Apply law of indices
[tex]125 * 78125 = 5^{3+7[/tex]
[tex]125 * 78125 = 5^{10[/tex] ---- equivalent
[tex]5^3 + 5^7[/tex]
Solve exponents
[tex]5^3 + 5^7 = 125 + 78125[/tex]
[tex]5^3 + 5^7 = 78250[/tex] ---- not equivalent
0.45 written as a common fraction, in its simplest form, is
Answer:
920
So, 0.45=920 as a proper fraction in simplest form.
The question is in the image below
9514 1404 393
Answer:
B. y < -x +1
Step-by-step explanation:
The boundary line has a y-intercept of +1, eliminating choices A and C.
The boundary line has a negative slope, eliminating choices C and D.
The only viable choice is B: y < -x +1.
Which solid has two triangular bases and three lateral faces, each in the shape of a rectangle?
triangular prism
triangular pyramid
rectangular prism
rectangular pyramid
Answer:
triangular prism
Step-by-step explanation:
the name of the solid is ussualy the base of the shape
Answer:
A
Step-by-step explanation:
help, the question is on the image
[tex]p = \frac{2 -3g}{g + 4} [/tex]
Refer to the attachment for step by step explaination.
Have a nice day!!
Answer:
[tex]p = \frac{2 - 3g}{(g + 4)} [/tex]
Step-by-step explanation:
[tex]g = \frac{2 - 4p}{3 + p} \\ g(3 + p) = 2 - 4p \\ 3g + pg = 2 - 4p \\ pg + 4p = 2 - 3g \\ p(g + 4) = 2 - 3g \\ \frac{p(g + 4)}{(g + 4)} = \frac{2 - 3g}{(g + 4)} \\ p = \frac{2 - 3g}{(g + 4)} [/tex]
add. what is the sum (2 x 10^16) + (7 x 10^16)
Answer:
9*10^16
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
order of operations dictates to the power preceeds multiplication, therefor the only difference is the sum of the multipliers being 2 and 7, added after factoring within parenthesis
Find the value of x.
Answer:
10
please mark brainiest
Algebra 2:
A boy has five-dollar coins and y ten dollar coins. There are 8 coins altogether and their total value is $55. How many of each coins do he have?
no links they don't open.
Answer:
5 five-dollar coins and 3 ten-dollar coins
Step-by-step explanation:
10x3=30
5x5=25
30+25=55
Step by step pls thanks
The choose (d)
1/2(x+1)
x²–25/x²+6x+5 / 2x-10
(x+5)(x-5)/ (x+1)(x+5) / 2(x-5)
Remove (x+5) from the first fraction
(x-5)/(x+1) / 2(x-5)
(x-5) / 2(x-5)(x+1)
Remove (x-5)
1/2(x+1)
I hope I helped you
Good luck ^_^
Pls someone help me these's problem's!
Answer:
15. a because b is being squared by a variable meaning it is exponential and goes forever, but the answer choice B is set only to 3 squared, so a is the answer.
16. D because square root of 96 MINUS square root of 54 on calculator is 2.44948974278, BUT the square root of 6 is ALSO 2.44948974278, so the answer is D or square root of 6
Step-by-step explanation:
my explanation is all on the top
how many miles from the runaway airplane at the start of this approach.
Answer:
it should be 41 ml I think.