if r=1 and 0=5pi/6 what is the approximate arc length?
Answer:
B. 2.618 units
Step-by-step explanation:
the arc length = (5π/6) / 2π × 2×3.14×1
= 5/12 × 6.28
= 31.4/ 12
= 2.618 units
The arc length is = 2.618 units
what is arc length of a circle?Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc. Arc length is a fraction of the circumference of the circle.
Given : r=1, [tex]\theta[/tex]= 5π/6
Now, arc length
= [tex]\theta[/tex]/ 2π * 2πr
= (5π/6) / 2π × 2×3.14×1
= 5/12 × 6.28
= 31.4/ 12
= 2.618 units
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A cone has a height of 30 centimeters and a radius of 20 centimeters. In terms of , what is the volume of the cone?
Answer:
[tex] V_{cone} = 4000\pi \: {cm}^{3} [/tex]
Step-by-step explanation:
Height of the cone (h) = 30 cm
Radius of the cone (r) = 20 cm
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \pi \: {(20)}^{2} (30) \\ \\ = \pi(400)(10) \\ \\ V_{cone} = 4000\pi \: {cm}^{3} [/tex]
7. A quadrilateral has vertices W(-3,5), X(8,6),
Y(3,-6), and Z(-4,1). The preimage is mapped
onto quadrilateral W'X'Y'Z' through a dilation by
scale factor and then a reflection over the line
y = x. What are the coordinates of W'?
Answer:
W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
If a point A(x, y) is dilated by a scale factor of k, the new point is A'(kx, ky). If a point A(x, y) is reflected over line y = x, the new point is A'(y, x).
Given the vertices W(-3,5), X(8,6), Y(3,-6), and Z(-4,1). If it is dilated by a scale factor of 2/3, the new point is at W*(-6, 10/3), X*(16/3, 4), Y*(2, -4) and Z*(-8/3, 2/3). If it is then reflected over the line y = x, the new point is W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3).
Someone please help me with this :/
5.Express the number 0.307 x 10-Bin
scientific notation,
A
3.07 x 10-9
B
3.07 x 10-6
3.07 x 10-1
3.07 x 10-8
Answer:
A
Step-by-step explanation:
Write the nunber in scientific notation which we need to add -1 to 10 power to made it 3.07.
? What is the solution of a system defined by 5x + 2y = 30 and -5x + 4y = 0? 0 (0, 30) O (6, 15) O (4,5) 0 (6,0)
Answer:
(4,5)
Step-by-step explanation:
Hi there!
We are given the system of equations:
5x+2y=30
-5x+4y=0
and we need to find the solution
there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable
When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively
5x+2y=30
-5x+4y=0
add the equations together
6y=30
divide both sides by 6
y=5
we found the value of y
now we need to find the value of x
substitute 5 as y into either one of the equations (ex. the first one) to solve for x
5x+2(5)=30
multiply
5x+10=30
subtract 10 from both sides
5x=20
divide both sides by 5
x=4
so the answer is x=4, y=5; as a point, it's (4,5)
Hope this helps! :)
Hihi , please help if able.
Step-by-step explanation:
the lines on the graph of inequality second option
Pls answer this correct ;( don't answer it nonsenses. :) Thanks!
A. in 20 tries, Riza Beat Jennifer 5 times. What is the probability that Jennifer won?
B. In 50 tries, Mark won over Martin 26 times. What is the probability that Mark Won?
Answer:
jennifer won 15 time and mark won 24
if the answer is wrong i am really sorry
20 marbles in a bag. 4 are red, 5 are blue, 5 are black, 4 are white and 2 are yellow. What is the probability that he pulls out a red marble?
Answer:
1/5
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability that he pulls out a red marble = number of red marbles / total number of marbles
= 4/20 = 1/5
Select the correct measurement of the angle shown on the protractor. a protractor showing an angle with one side lined up with the base line and the other side going through the fifth tick mark after fifty five degrees 110° 120° 50° 60°
Answer:
110°
Step-by-step explanation:
Each tick line in a protractor shows 10°. So the next is 110° inclined.
Answer:
110 degrees hope this helps
Step-by-step explanation:
3.9 X 7 =. hurry pls
Answer:
27.3
Step-by-step explanation:
3.9 x 7
=>(4 - 0.1) x 7 (USING DISTRIBUTIVE PROPERTY)
=>28 - 0.7
=>27.3
X 8. From the given Venn-diagram, list the elements of the following sets, a) U b) XU Y and XUY c) X Y and X d) X - Y and X-Y e) Y - X and Y - X 11 15
Answer:
where is the Venn diagram plz insert Venn diagram then I should solve
Which of the following is the best estimate of 7/8? ( Answer ASAP )
Answer:
C
Step-by-step explanation:
just round up to nearest number and 7/8 is 0.87 so it coloser to 1 than half and the others are way to big.
Lift tickets at the resort cost $28 per day for adults and $19
per day for children under 12. The Scotts skied for 5 days.
A How much did the Scotts pay for lift tickets each day?
B. How much did the Scotts pay for lift tickets altogether?
Answer:
No solution is possible
Step-by-step explanation:
You didn't indicate the number of adults and children.
Which expression is equivalent to this quotient?
[tex]\frac{1}{x+5} \\\frac{x+3}{5x+15}[/tex]
Choose the correct answer A, B, C or D.
Half of the perimeter of a rectangular piece of land is equal to 21 m
and its length is twice its width. Given that 1 m2 of the piece of land
costs 17.25 million VND. If someone wants to buy it, he or she has to
pay:
А
1621.5 million VND
B
1690.5 million VND
Sc
С
1725 million VND
D
1759.5 million VND
Answer:
B. 1690.5 million VND
Step-by-step explanation:
Half of the perimeter of a rectangular piece of land is equal to 21 m
The full perimeter of the Land = 2 × 21m
= 42 m
Step 1
Find the Length and Width of the rectangle
Perimeter of a rectangle = 2L + 2W
Length is twice its width.
L = 2W
Hence:
42 = 2(2W ) + 2W
42 = 4W + 2W
42 = 6W
W = 42/6
W = Width = 7m
L = Length = 2W
L = 2 × 7
L = 14m
Step 2
Find the Area of the Land
Area of the rectangle = Length × Width
= 14m × 7m
= 98m²
Step 3
Given that 1 m² of the piece of land
costs 17.25 million VND. If someone wants to buy it, he or she has to
pay:
1m² = 17.25 million VND
98m² = x
Cross Multiply
1 m² × x = 98m² × 17.25 million VND
x = 1690.5 million VND
Option B is the correct answer
There are 4 apples, 6 pear, 3 oranges and 9 peaches in a basket. You randomly pick three fruits from the basket. What is the probability that the first fruit is apple, the second is a peach and the last is not an orange if you do not replace the first and second fruits? Enter your answer as a decimal rounded to the nearest thousandth
The probability that the last one is not an orange if you do not replace the first and second fruits will be equal to 0.054.
What is Probability?Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.
As per the given information in the question,
The total number of fruits as per the data is,
4 apples + 6 pear + 3 oranges + 9 peaches = 21 fruits.
As per the statement, the first fruit is from 21 fruits.
There are 3 apples, so the probability will be,
3/21 = 1/7
The second fruit is from 20 fruits,
21 - 1 = 20
There are 9 peaches, so the probability will be,
9/20
The third fruit is from 19 fruits, so there are 16,
19 - 3 = 16
These fit the bill (not oranges), so the probability will be,
16/19.
So,
1/7 × 9/20 × 16/19
= 36/665
= 0.054
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Find the missing side!!
Answer:
the answer to the question is 12cm
What should be filled in the blank spot you’ll be marked as brainliest if you are correct
Answer:
-4 square inches
Step-by-step explanation:
its because the 5 pictures together make 21
Can someone please help I really need these points
Given:
Two chords intersect each other inside the circle.
To find:
The value of x.
Solution:
According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to the product of two segments of second chord.
In the given circle,
[tex]AE\times CE=BE\times DE[/tex]
[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]
[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]
[tex]15x^2-67x+44+x^2-15x-34=0[/tex]
[tex]16x^2-82x+10=0[/tex]
Divide both sides by 2.
[tex]8x^2-41x+5=0[/tex]
Splitting the middle term, we get
[tex]8x^2-40x-x+5=0[/tex]
[tex]8x(x-5)-1(x-5)=0[/tex]
[tex](8x-1)(x-5)=0[/tex]
Using zero product property, we get
[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]
[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]
For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.
Therefore, the required solution is [tex]x=5[/tex].
Identify the range of the function shown in the graph.
Answer: Choice D) [tex]0 \le y \le 5[/tex]
This is because the smallest y can get is y = 0, while the largest it can get is y = 5. It can be anything in between these y values as well.
Visually, we look for the lowest and highest points. The range is the set of all possible y outputs. In contrast, the domain is the set of all allowed x inputs.
Answer:
in my opinion it's A.. hope it will help you.
through: (-2, -1), slope = -1
y= -1x -3
that's equation of the line
If I eat 20 cupcakes and A=chicken nuggies what color is the imposter? True or false. extra points if you explain your answer.
Answer:
true
Step-by-step explanation:
because your susy
consider the polygon shown. determine the value of y.
Answer:
70 degrees
Step-by-step explanation:
It's a whole 540 degrees
So y = 70 degrees
How many points need to be removed from this graph
so that it will be a function?
0 1 point
0 2 points
O 3 points
-5-4-3-2-1
112
O 4 points
Answer:
I think it is 2 points for this .
If the HCF and LCM of two numbers are 14 and 840 respectively . If one number is 42 Then find another one.
Answer:
HCF X LCM= product of two numbers
14 x 840 = 42 x other number
other number= 14x840/42=280
This question is very important I will give Brainliest for the correct answer!! It's just perimeter but I'm a little confused.
two circles intersect each other in A and C. O the centre of the smaller circle, lies on circumference of the bigger circle D is a point on smaller circle and DC produce intersects the bigger circle in B. BO produce intersects AD inM. AO, OC andAB are drawn 1 IF IT IS FURTHER GIVEN THAT ACO.=D, PROVE THAT AD IS A TANGENT TO CIRCLE ABO
Answer:
ss
Step-by-step explanation:
s
If q||r, solve for x
Answer:
12
Step-by-step explanation:
Since they are parallel then
(7x - 8) + (11x - 28) = 180
18x - 36 = 180
18x = 216
x = 12
Daine simplified the expression below.
8(1 + 2i) – (7 – 3i) = 1 + 5i
What mistake did Daine make?
Answer:
Step-by-step explanation:
8(1 + 2i) - (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)
= 8 + 16i -7 + 3i
= 8 - 7 + 16i + 3i
= 1 + 19i
Daniel forgot to multiply 2i by 8
Answer:
A , He did not apply the distributive property correctly for 8(1 + 2i).
on edge
Step-by-step explanation:
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
y=3 x=1
Step-by-step explanation:
Answer:
above one is correct. I think so