Answers
Answer:
5 shaded region area = 100 - 78.5 = 21.5 sqm
6 c
Step-by-step explanation:
5. area of square = 10 x 10 = 100 sqm
area of circle = pi * r^2 = pi (5)^2 = 78.5 sqm (take pi as 3.14)
shaded region area = 100 - 78.5 = 21.5 sqm
6. for a straight line, equation is y = mx + b
m = 5, b = -12 in this case
Related Questions
6. Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale.
1,540 m2
770 m2
396 m2
749 m2
Answers
The surface area of the regular pyramid is 770 [tex]m^{2}[/tex]
Option B. 770 [tex]m^{2}[/tex] is the answer.
What is Surface Area ?
The surface area of a pyramid is a measure of the total area that is occupied by all its faces.
We have to find the surface area of the regular pyramid with a base of 6 sides (hexagonal base).
Surface area of pyramid = area of triangles at the lateral sides + area of base (Hexagon)
Surface area of hexagonal base,
[tex]\frac{1}{2}*(Apothem)*(Perimeter) \\= \frac{1}{2}*(6\sqrt{3} )*(72)\\=216\sqrt{3}[/tex]
Surface area of triangular sides = 6 * 1/2 * b *h
= 3 * 12 *11
= 396 [tex]m^{2}[/tex]
Now total surface area = 216√3 + 396
= 374.112 + 396
= 770.112
≈ 770 [tex]m^{2}[/tex]
The surface area of the regular pyramid is 770 [tex]m^{2}[/tex]
Option B. 770 [tex]m^{2}[/tex]
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What happens to the mode of the data set shown below if the number 8 is added to the data set?
A. There is no mode.
B. The mode will not change.
C. There will be two modes.
D. The mode increases by 6.
Answers
Answer:
c
Step-by-step explanation:
right now 15 is the mode because there are 3 of them
if we made it so that there was another 8 there would also be 3 of them
this would mean that there are two modes
Consider the function represented by the equation x - y = 3. What is the equation written in function notation, with x
as the independent variable?
obor(x) = y + 3
Of(x) = -y - 3
Of(x) = -x + 3
O f(x) = x - 3
Answers
Answer:
f(x) = x - 3
Step-by-step explanation:
note that y = f(x) , then
x - y = 3 ( add y to both sides )
x = 3 + y ( subtract 3 from both sides )
x - 3 = y , that is
f(x) = x - 3
f(x) = x - 3 is the equation written in function notation, with x as the independent variable.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
To write the equation x - y = 3 in function notation with x as the independent variable, we need to solve for y in terms of x.
x - y = 3
y = x - 3
Therefore, the function represented by the equation x - y = 3, with x as the independent variable, can be written in function notation as:
f(x) = x - 3
So the answer is O f(x) = x - 3.
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x^2+ y^2+14x-4y+17=0 center and radius
Answers
Center (-7 , 2)
Radius 6
Here is the solution
x (x + 14) + (y - 4) y + 17 = 0
x^2 + 14 x + y^2 + 17 = 4 y
(x + 7)^2 + (y - 2)^2 - 36 = 0
1/36 (x + 7)^2 + 1/36 (y - 2)^2 = 1
y=3x-2 use a graph to estimate the value of x when y = 3
Answers
Answer:
5/3
Step-by-step explanation:
Substitution
Answer:
5/3 or 1 2/3 (also, there is no graph so I had to do subsitution)
Step-by-step explanation:
If we substitute, we get 3 = 3x-2. We add 2 to both sides and get 5 = 3x
We divide 3 from both sides and get 5/3 = x or x = 5/3
Hope this helped! I would appreciate a Brainliest if this answer helped you! Thank you and have a good day!
Identity law a(b+c)=a×b+a×c
Answers
Answer:
Distributive property
Step-by-step explanation:
The distributive property states that if you have an equation inside parenthesis with a number outside, you should multiply the number with each of the member inside the parenthesis. So lets say you have 3(1-4), you are not going to add the members together after multiplication, you are gonna apply the mathematical equation that was available in the first place, so u will multiply 3×1 - 3×4, this applies to any situation you have. Let’s say you have 3+(4-2), here you cannot multiply the 3 by any of the parenthesis, since there is an addition sign right before it, we conclude that the number should be right beside the parenthesis bcz parenthesis are like multiplication signs. So you have 3(4-2), first step you do is multiply each of the number inside by the number outside, and you will get the subtraction sign in the middle of them. It will look like this 3×4 -3×2, u multiply them all together, with the multiplication first and subtraction at last.
ur wlcm :)
brainliest?
Item 5
What is the correct classification for ∠JML?
obtuse
straight
right
acute
Ray M J and Ray M L are connected at point P, forming angle J M L. A ray M K sharing the same point forms a bisector. A ray M H also sharing the same point from the diagonally down from the right. The angle J M K measure 41 degrees and angle L M H measure 132 degrees.
Answers
The correct classification for the angle JML is an acute angle.
What is an acute angle?An acute angle has a measure, or it's smaller, than a right angle.
An acute angle has a measure less than 90 degrees.
Therefore,
let's find the measure of ∠JML
Hence,
∠JML = ∠JMK + ∠KML
∠KML = 180 - 132 = 48 degrees.
Therefore,
∠JML = 41 + 48 = 89 degrees.
Therefore, the correct classification for the angle JML is an acute angle.
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Lori is interested in astronomy. She wants to build a scale model of the solar system in a nearby park. She is using a table that lists the planets’ average distance from the sun in millions of miles.
Answers
Answer: 8.2831
Step-by-step explanation:
the sum of 2 numbers is 17. one number is 3 less than 2/3 of the other number. What is the lesser number
Answers
Answer:
5, 12
Step-by-step explanation
The 5 students in Mrs. Jackson's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered. 11, 3, 7, 9, 12 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth.
Answers
Answer:
the mean in all of the numbers added together devided by how many numbers there are so it would be 8.4, and the median is the middle so it would be 9.
Step-by-step explanation:
your welcome
24 seconds, 24 minutes, 24 hours, 24 days, 24 weeks, 24 months, 24 years, equals how many days?
Answers
Answer:
1345.01694448 days
Step-by-step explanation:
24 weeks = 24 x 7 = 168 days
24 months = 24 x 30 x 7 = 168 x 7 = 1176 days
24 seconds = 0.000277778 days
24 minutes = 0.0166667 days
24 hours = 1 day
Total = 1345.01694448 days
A nationwide survey of a random sample of teenagers asked
whether or not they play sports. The survey concluded that 53%
play at least one sport. Use this information to predict how many
students in a school with 2,000 teenage students play at least one
sport.
Answers
Answer:
1060 students
Step-by-step explanation:
can anyone help me find 4,6, and 7? please
Answers
Answer:
study btc
Step-by-step explanation:
Congratulations I was forced to do this so I could see the question.?
Answers
check the attachment pls.
Answers
Step-by-step explanation:
135+k=180(sum of angles on a straight line)
k=180-135
k=45
so now u can use k to solve for x
k+9x is also on a straight line
so k+9x=180
we know k so substitute the value in the equation
45+9x=180
9x=180-45
9x=135
[tex] \frac{9x}{9} = \frac{135}{9} [/tex]
cancel 9 will divide 135 15 times
therefore x=15 degrees
135=9x
After dividing both side with 9
You get
X= 15
Find the sum of the first 6 terms of the following series, to the nearest integer. 15 , 5 , 5/3
Answers
Answer:
22
Step-by-step explanation:
the pattern here is to divide the previous number by 3
the first number is 15, divided by 3 to give you the second number:5 ,the second number divided by 3 gives us 5/3
using that principle the first six terms are :
15, 3, 5/3 , 5/9, 5/27, 5/81
(just multiply the denominator by 3)
adding we have
[tex]15 + 5 + \frac{5}{3} + \frac{5}{9} + \frac{5}{27} + \frac{5}{81} = \frac{1820}{81} [/tex]
1820/81 in decimal is 22.4691 to the nearest whole number that is 22.
hope this helps!
Please give a proper explanation.
A book store carries 41 Ocean calendars and 48 Space calendars. Every day, the store sells 3 Ocean calendars and 4 Space calendars.
After how many days there are the same number of both calendars left in the store?
Answers
Answer:
After 7 days there are the same number of both calendars left in the store
Step-by-step explanation:
Let x be defined by the number of days,
41 total, 3 Ocean calendars sell each day
48 total, 4 Space calendars sell each day
expression: 41 - 3x = 48 - 4x
- we set them equal to find when x amount days are the same for both calendars
- we subtract due to selling each calendars
solving:
41 - 3x = 48 - 4x
add 4x to both sides, trying to get like terms on the same side
41 - 3x + 4x = 48 - 4x + 4x
41 + x = 48
now subtracts 41 from both sides to get x alone
41 - 41 + x = 48 - 41
x = 7
please tell me what 16/7+86.8 is
Answers
Answer:
89.0857
Step-by-step explanation:
Hope this helps! Have a great day!!
Question:
please tell me what 16/7+86.8 is
Answer:
89.08571429
Simplified version:
89.08
Step-by-step explanation:
So you have the fraction:
16 over 7
And you have your whole number/decimal:
86.8
What you would do is:
Set up your problem. (Always put the bigger number on top.) So what your problem should look like is 86.8 on top and the fraction on the bottom.Break down the fraction: (So your fraction would have 1. The decimal. And 2. It's way easier to work with when you have two whole numbers/decimals.)So your broken down fraction should have the numbers in this specific order: 2.28571429
Add the two number together: (Add 2.28571429 and 86.8)
You would start at the end of your problem
9 + 0 = 9
2 + 0 = 2
4 + 0 = 4
1 + 0 = 1
7 + 0 = 7
5 + 0 = 5
8 + 0 = 8
2 + 8 = 10
2 + 86 = 88 + 1 (From the 10) = 89
So, to conclude, 16/7 + 86.8 = 89.08571429
Then, simplified it is: 89.08 or 89.0/89
If you need to simplify to only one digit after the decimal, the answer would be 89
If you are wondering why then the reason why you wouldn't add the .0 is because you never add the .0 at the end. If your answer is 89.08 then you cannot take away that 0 because you only take away the 0 if its at the end of your answer.
(Examples.)
X for Don't take away 0
[tex]\sqrt[/tex] for Take away 0
89.08 X
37.30 [tex]\sqrt[/tex]
12.6802 X
15.670 [tex]\sqrt[/tex]
16.05 X
15.50 [tex]\sqrt[/tex]
6.903 X
And so on.
Valentina and her sister went together to get haircuts. valentina got 4/5 of an inch cut off and her sister got 1/5 of an inch cut off. compared to her sister, how much more hair did valentina get taken off?
Answers
Answer:
Valentina got 4 times more hair cut off than her sister
Step-by-step explanation:
1 4 4
- × - = -
5 1 5
Valentina got 4 times more hair taken off than her sister, as the ratio between them is 4:1.
What is a ratio?The ratio is the simplest form of a fraction involving two quantities determining each other. It is written as a:b, read as "a is to b", and functions as a/b.
How to solve the question?In the question, we are informed that Valentina and her sister went together to get haircuts. Valentina got 4/5 of an inch cut off and her sister got 1/5 of an inch cut off.
We are asked to find a comparison between the two.
To find the comparison, we will find the ratio of the haircut Valentina got to that of what her sister got.
Therefore, ratio = (4/5):(1/5) = (4/5)/(1/5) = 4.
Therefore, Valentina got 4 times more hair taken off than her sister.
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Which two of the following expressions are equivalent to cos(theta)? answers are cos(2pi+theta), cos(-theta), cos(pi-theta), and cos(pi+theta), also can someone explain this concept to me, i literally dont understand
Answers
The expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given trigonometric expressions is,
[tex]f(\theta)=\cos\theta[/tex]
The cosine function is the periodic function. The function repeats itself after the 2π. Thus,
[tex]f(\theta)=\cos\theta\\f(\theta)=\cos(2\pi+\theta)[/tex]
The cosine function is an even function. Thus,
[tex]f(\theta)=\cos\theta\\f(\theta)=\cos(-\theta)[/tex]
Thus, the expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)
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[tex] \huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red} Question}}}}[/tex]
[tex] \mathsf \blue{sketch \: the \: graph \: of}[/tex]
[tex] \mathsf \blue{y \geqslant x + 1}[/tex]
Answers
Answer:
Graph attached →
Step-by-step explanation:
HELPPPP ASAP ILL GIVE BRAINLY!!! Identify bottom material based on refraction. Water, Glass, Air
Answers
So the answers should go in this order: Water, Glass, Air
Explanation:
Light moves slower in glass, so glass has a higher refractive index than water. This means that light is refracted at a greater angle
Answer answer questions please
Answers
Answer:
d
Step-by-step explanation:
it is 4/5ths of the answer towards one and the only other likely answer would seem as though b but b=9/10ths so D.
Answer: the answer is choice d .
Step-by-step explanation: as 4 over 5 is 0.8 which is less than one on a number line . It is close to one but ofcourse lesser . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
Pollsters take a survey of people at a ball game to collect and analyze data about favorite leisure activities of star city’s residents. would this study be biased? why or why not? no, it is not biased. the sample of people at the ball park is representative of star city’s residents. no, it is not biased. all people at the ball park will respond to the survey. yes, it is biased. not all people at the ball park will respond to the survey. yes, it is biased. the sample of people at the ball park is not representative of star city’s residents.
Answers
Using sampling concepts, it is found that the correct option regarding the sample is given as follows:
It is biased. The sample of people at the ball park is not representative of star city’s residents.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, we have that only one group is sampled, that is, the people that went to the ballgame, hence the sample is not representative and the correct option is given by:
It is biased. The sample of people at the ball park is not representative of star city’s residents.
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Answer:
d
Step-by-step explanation:
edge
please asap i dont need expalination correct answer gets brainliest please
Answers
Answer:568.99 is what I calculated
Step-by-step explanation:
A runner takes 6. 6 seconds to complete a sprint. If they run the sprint 8 times, how many total seconds would it take?
Answers
Answer:
52.8 seconds
multiply 6.6 times 8
Step-by-step explanation:
Jordan invests $9,500 into an account that earns 3.25% annual interest. How much will
be in the account after 10 years if the interest rate is compounded daily or continuously?
Which compounded interest rate should Jordan choose?
Answers
The amount of money that Jordan will earn at the end of 10 years = $12,587.5
Calculation of compounded interestsThe principal amount invested(P) = $9,500
The annual compounded daily interest rate(R) of the account = 3.25%
The time given (T) = 10 years
Simple interest (SI) = P×T × R/100
SI = 9,500×10×3.25/100
SI= 308750/100
SI= $3087.50
Therefore the total amount that would be in the account after 10 years = $9,500 + $3,087.50
= $12,587.5
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What is the sum of the square of 4 and square root off 144
Answers
Work out the value of x
Answers
Answer:
x = 20°
Step-by-step explanation:
Consecutive interior angles theorem
The pairs of consecutive interior angles formed when two parallel lines are cut by a transversal are supplementary (sum to 180°).
⇒ 4x + 5x = 180°
⇒ 9x = 180°
⇒ x = 20°
Answer:
4x+5x=180
9x/9=180/9
x=20
equation of a circle that has a center of (-4,-1) and passes through (1,-3)
Answers
Answer:
[tex](x + 4)^{2} + (y + 1)^{2} = 29[/tex].
Step-by-step explanation:
The equation of a circle of radius [tex]r[/tex] and center [tex](a,\, b)[/tex] is:
[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].
In this question, it is given that the center is [tex](-4,\, -1)[/tex], such that [tex]a = (-4)[/tex] while [tex]b = (-1)[/tex].
The radius of this circle could be found as the distance between the center of this circle, [tex](-4,\, -1)[/tex], and any point on the circle- such as [tex](1,\, -3)[/tex]. Using the distance formula, the radius of this circle would be:
[tex]\begin{aligned}r &= \sqrt{((-4) - 1)^{2} + ((-1) - (-3))^{2}} \\ &= \sqrt{29}\end{aligned}[/tex].
Therefore, the equation of this circle would be:
[tex](x - (-4))^{2} + (y - (-1))^{2} = (\sqrt{29})^{2}[/tex].
Simplify to obtain:
[tex](x + 4)^{2} + (y + 1)^{2} = 29[/tex].