Answers
Explanation: 2pi r
2 • 3.14 • 2
Related Questions
Which is a perfect square? 20,21, 24,25
Answers
The perfect square form the given numbers is 25.
What is meant by Perfect Squares?Perfect squares are defined as the number which is the result of the multiplication of another number, likely integers, to itself two times.
For example, 4 = 2 × 2
So 4 is a perfect square of 2.
Here the given numbers are,
20, 21, 24, 25.
We need the perfect squares as the squares of integers.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
So 25 is a perfect square.
20, 21 and 24 cannot be written as the square of an integer.
Hence the correct number is 25.
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rewrite! Write an new and equivalent equation that is easier to solve
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[tex]{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}[/tex]
[tex] \sf 7( \sqrt{m + 1} - 3) = 21[/tex]
we will multiply 7 with bracket
[tex] \sf 7 \sqrt{m + 1} - 21 = 21[/tex]
Now we will take (-21) on LHS to RHS
[tex] \sf 7 \sqrt{m + 1} = 21 + 21 \\ \\ \sf7 \sqrt{m + 1 } = 42 \\ \\ \sf \sqrt{m + 1} = \frac{42}{7} \\ \\ \sf \sqrt{m + 1} = 6[/tex]
Now we will do squaring both sides
[tex] \sf {( \sqrt{m + 1}) }^{2} = {(6)}^{2} \\ \\ \sf \red {m + 1 = 36}[/tex]
[tex]\sf{ 7( \sqrt{m+1} - 3)=21}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\sf{\sqrt{m+1} - 3)=\frac{21}{7}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\sf{ 7( \sqrt{m+1} - 3)=3}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\sf{\sqrt{m+1} =6}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Get the power of 2 in both sides.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\sf{( \sqrt{m + 1})^2 = 6^2}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\sf{m+1=36}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\sf{m=35}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
So the answer is m = 35
Which equation does NOT represent a vertical asymptote of the graph of y=tanθ?
A. θ=-pi/2
B. θ=0
C. θ=pi/2
D. θ=3pi/2
Answers
The value of theta where we do not have a vertical asymptote is θ = 0.
Where we do not have a vertical asymptote?
The vertical asymptotes happen when the denominator becomes equal to zero.
For our case, we have:
tan(θ) = sin(θ)/cos(θ).
So the vertical asymptotes are for the values of θ where the cosine is equal to zero. Particularly, cos(0) = 1, then in θ = 0 the denominator is not equal to zero, which means that at that value we do not have an asymptote.
Then the correct option is B.
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I bought 6.7 kg of apples and a water melon that weights 3.1 kg how much fruit did I buy.
Answers
Answer:
Our goal is to find the total weight which we can do by just adding up our weights. We have 6.7 kg of apples and we have 3.1 kg of melon so we just add those up together and we get 9.8 kg.
Hope this helps! Let me know if you have any questions
.................................................
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Answers
Answer:
MARK ME Brainliest PLEASEStep-by-step explanation:
Yellow Bird launches from point (10,0). His flight path reaches a maximum height of 22 yards and lands at point (42, 0).
Answers
The Equation for the launch of the yellow bird is y = -0.1( x - 26 )² + 20
what will be the equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values
Given:
Starting position of the bird = ( 10 , 0 )
Final position of the bird = ( 42 , 0 )
Maximum Height of the bird = 20 yards
To find: Equation that represent this condition.
Clearly, Birds flight path is not a straight line. It has a curved path.
So, the path bird follow is a PARABOLA.
Standard Equation of the parabola in vertex form, y = a( x - h )² + k
where ( h , k ) is the vertex of the parabola.
In our Question , vertex is the point at the highest position.
Vertex will be 20 yard above the mid point of the starting and final position.
Using Mid-Point Formula,
Mid-Point of ( 10 , 0 ) & ( 42 , 0 ) =
Now, the vertex = ( 26 , 0 + 20 ) = ( 26 , 20 )
⇒ Equation, y = a( x - 26 )² + 20
Now, we find value of by substituting value of (10 , 0) in the equation,
⇒ 0 = a( 10 - 26 )² + 20
a( -16 )² = -20
a(256) = -20
a = -20/256
a = −0.078125
a ≈ -0.1
Therefore, The Equation is y = -0.1( x - 26 )² + 20
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work out value of a
Answers
Answer:
a=99
Step-by-step explanation:
First, let's subtract 136 from 180. We get 44, which means that the angle of the other side is 44 degrees.
180-136=44
Next, let's subtract 125 from 180. 180-125 = 55. This means the other angle next to 125 degrees is 55 degrees.
180-125=55
We know that the sum of a triangle's angles is = 180 degrees
We can find the last angle of the triangle by adding 44 & 55, and then subtracting that sum from 180 (the total sum).
44+55=99
180-99=81
For our last and final step, let's subtract 81 from 180 to find the angle NEXT to 81 (a).
180-81=99
a = 99 degrees
Hope this helped :) If you have any questions, don't be afraid to comment!
Answer:
The value of a is 99°check photo for detailed analysisThe amount of time a certain brand of light bulb lasts is normally distribued with a
mean of 1100 hours and a standard deviation of 75 hours. Out of 965 freshly installed
light bulbs in a new large building, how many would be expected to last less than
1100 hours, to the nearest whole number?
Answers
Answer:
Therefore, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.
Step-by-step explanation:
In statistics, the 68–95–99.7 rule, also recognized as the Empirical rule, is a shortcut used to recall that 68%, 95% and 99.7% of the values lie within one, two and three standard deviations of the mean, respectively.
Then,
P (µ - σ < X < µ + σ) = 0.68
P (µ - 2σ < X < µ + 2σ) = 0.95
P (µ - 3σ < X < µ + 3σ) = 0.997
he random variable X can be defined as the amount of time a certain brand of light bulb lasts.
The random variable X is normally distributed with parameters µ = 1300 hours and σ = 90 hours.
Compute the interval of hours that represents the lifespan of the middle 68% of light bulbs as follows:
Thus, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.
How many helmets must the company make and sell to break even? helmets
Answers
Answer: 600
Step-by-step explanation: i took test and got it right
Answer: 600
Step-by-step explanation:
Lillian and Mackenzie clean rooms at a hotel. Today, they cleaned the same number of rooms, but Mackenzie worked fewer hours. Tomorrow, their shifts are the same length. Who will likely clean more rooms?
Answers
Answer:Mackenzie
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mackenzie
Help!!!!PLEASE & THANKS
Answers
x° = 25°
25° is the answer
Two angles are complementary. One angle is labeled (2p + 9). The other angle is
labeled 4pº. Find the value of p.
A p = 2.5
B p = 4.5
Cp = 13.5
D p = 28.5
Answers
Answer:
p=13.5
Step-by-step explanation:
know: complementary angles add to 90
(2p+9) +4p =90
6p +9 =90
6p= 81
p= 81/6 = 13.5
Rewrite using the Distributive Property and GCF 13+36
Answers
Answer:
13(1+2)
Step-by-step explanation:
13(1)+13(2)=13+26
The GCF of 13, 26 is 13.
if you need 4/5 of a cup for one pie how many do cups do you need for 9
Answers
Given ,
For one pie , 4/5
For 9 pie = 4/5 x 9 = 36/5
Hope this helps :)
Answer:
if you simplefy it, it would be 7 1/5
Step-by-step explanation:
see how many time 5 goes into 36= 7 times what is your remander = 1 and the denomorator is 5 so 7 and 1/5
Use the equation below to find A, if 1 = 6 and w = 3.
A = lw
Answers
Answer:
l=6, w=3
And A is the multiplication of l and w
A=6×3
Pls, look at the picture for the question.
Answers
B. 3*10^9 (because answer to first question is divided by seconds in one year (365*24*60*60).
Answer:
1. 9 * 10^15 meters per years
2. 3*10^8 meters per second
Step-by-step explanation:
Light travels is given 9,... m per year.
They ask how many meter light trravels per years.
They give you the meter per year so you look at the values and move the decimal and see if it can round to the whole number 9.
Looking at the four next to nine can't round so 9,460,000,000,000 becomes 9 * 10^15 m per year.
Converting meters per year to meter per seconds
[tex]\frac{9*10^5meters}{1 year} *\frac{1year}{365 days}*\frac{1 day}{24 hrs} *\frac{1hr }{60 min}*\frac{1min}{60 secs}[/tex]
The answer should be 2.8*10^8 or 3*10^8 meters per second
Liam's mass is 102.1 kg
Choose the best approximation of Liam's mass.
Choose 1 answer:
A.) 1*10^1 kg
B.) 1*10^2 kg
Earth has an estimated mass of 5,972,000,000,000,000,000,000,000
Choose the best approximation of the Earth's mass.
Choose 1 answer:
A.) 6*10^21
B.) 6*10^24
Approximately how many times as large is the Earth's mass as Liam's mass?
Choose 1 answer:
A.) 6*10^20
B.) 6*10^21
C.) 6*10^22
Answers
First one is B second one is B last one is C
Sam Bought a shirt for $27 after a discount, He said he bought the shirt at a 10% discount, What was the original selling price of the shirt?
Answers
Answer:$37.00
Step-by-step explanation: hope it helps
A family buys a studio apartment for $240,000. They pay a down payment of $48,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would an $84,000 down payment be?
a. The down payment is
(Type a whole number.)
% of the purchase price.
Answers
Answer:
A. 20% B. 35%
Step-by-step explanation:
a. (48,000 divided by 240,000) x 100 = 20
B. (84,000 divided by 240,000) x 100 = 35
True or False.
arcsin (sin theta ) = theta for all theta
The answer is true, but I am looking for an explanation.
Answers
The statement is true because the arcsin function is defined to be the inverse of the sin function.
What are inverse functions?
For invertible function f(x) (this means that f(x) has an inverse) we define the inverse function g(x) such that:
f(g(x)) = x
g(f(x)) = x
Now, particularly for the sin function, arcsin is defined as the inverse function.
Then by definition, arcsin must meet the conditions:
arcsin(sin(x)) = xsin(arcsin(x)) = xSo the answer is true for the definition of the arcsin function.
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Line j is parallel to line k. Find the m
Answers
Answer:
- 8.14 = m = slope
Step-by-step explanation:
We know from the diagram that 8x-7 + 5x+18 = 180 so x = 13
so 8x -7 = 97
slope = tan 97 = -8.14
A quadrilateral with vertices at A(4,-4), B(4, -16), C(12, -16), and D(12, -4) has been dilated with a center at the
origin. The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation?
1/9
1/3
3
9
Answers
Using translation concepts, it is found that the scale factor of the dilation is of 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, considering point D and it's image, the following translation happened:
(12, -4) -> (36, -12).
In general terms, we have that:
(x,y) -> (3x, 3y).
Hence the scale factor is of 3.
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what set of data corresponds to the dot plot
Answers
2. (07.01)
In a city school, 70% of students have math class, 65% have science class, and 45% have math
and science class this semester. What is the probability (rounded to the nearest whole percent)
that a randomly selected student will have science class this semester, given that the student is in
math class? (1 point)
Hint: P(AB)
P(ANB)
P(B)
O 93%
20%
69%
Answers
Answer:
[tex]P(\text{Science}|\text{Math})\approx64\%[/tex]
Step-by-step explanation:
[tex]\displaystyle P(\text{Science}|\text{Math})=\frac{P(\text{Science and Math})}{P(\text{Math})}\\\\P(\text{Science}|\text{Math})=\frac{0.45}{0.70}\\ \\P(\text{Science}|\text{Math})\approx0.643\approx64\%[/tex]
None of the answer choices have this solution apparently, so either you left out some option, mistyped them, or it wasn't there to begin with
Work out the size of angle x
Answers
Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other. If they meet in 4 hours, what is the rate of each bus?
Answers
If they meet in 4 hours. Then the speed of each bus will be 124 km per hour and 113 km per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other.
If they meet in 4 hours.
Then the speed of each bus will be
Let x be the speed of the one bus.
Then the speed of second bus will be
Speed = x - 11
Then the relative speed will be
Speed = 2x - 11
Then we have
2x - 11 = 948 / 4
2x - 11 = 237
2x = 248
x = 124
Then the speed of each bus will be 124 km per hour and 113 km per hour.
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What is the radius of oT?
Answer Here
+
21
20
R
Answers
The length of the half chord is given as 21. The length of the perpendicular drawn from the center to the chord is 20. The radius would be 29 units.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
The length of the half chord is given as 21.
The length of the perpendicular drawn from the center to the chord is 20.
By Pythagoras' Theorem
[tex]|r|^2 = |21|^2 + |20|^2\\\\|r|^2 = 441 + 400\\\\|r|^2 = 841\\\\|r| = \sqrt{841} \\\\r = 29[/tex]
The radius of the circle would be 29 units.
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A rectangle measures 2(3x - 1) cm by (2x + 3) cm. If its perimeter is 98 cm what are the dimensions of this rectangle?
Answers
Answer:
the dimensions of the rectangle are 34cm and 15cm
Step-by-step explanation:
proof:
p= (2 × 34) + (2 × 15)
=68 + 30
= 98
hope this helps!!
Answer: 34x15
Step-by-step explanation:
A rectangle
Knowing the properties of a rectangle, the opposite sides are equal and parallel.
Determine formula
Since both sides are equal, our formula is [tex]((2(3x-1))*2)+((2x+3)*2)=98[/tex]
Solve for X
Side 1:
[tex]((2(3x-1))*2)[/tex]
[tex]((6x-2)*2)[/tex]
[tex](12x-4)[/tex] simplified
Side 2:
[tex]((2x+3)*2)[/tex]
[tex](4x+6)[/tex] simplified
Solve:
[tex](12x-4) + (4x+6) = 98[/tex]
[tex]16x+2=98[/tex]
[tex]16x=96[/tex]
[tex]\frac{16x}{16} = \frac{96}{16}[/tex]
[tex]x = 6[/tex]
Substitute x
[tex]2(3(6)-1) = 34[/tex]
[tex](2(6)+3) = 15[/tex]
The dimensions of this rectangle are 34x15.
Two towers make up the Vertical Forest. One is 76 meters tall, and the other is 111 meters tall. How many feet taller is the higher tower? (Hint: 1 meter = 3.28 feet)
Answers
Answer: 114.8
Step-by-step explanation: first multiply 76 times 3.28 (249.28) then multiply 11 by 3.28 (364.08) and subtract to get your awnser
The point (2,5) is represented on the graph. Which point also belongs on this graph?
Answers
If the point (30, 75) satisfies the equation, then the point will lie on the line. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The point (2,5) is represented on the graph.
Then the equation of the line passing through (2, 5) and the origin will be given as
y - 0 = [(5 - 0) / (2 - 0)] (x - 0)
y = 5/2 x
2y = 5x
If the point (30, 75) satisfies the equation, then the point will lie on the line.
2 × 75 = 5 × 30
150 = 150
The graph is given below.
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