Answer:
B. 3850 m²Step-by-step explanation:
Use the equation of area of circle:
A = πr²Substitute π with 22/7 and r with 35 m as per question.
Find the area:A = 35²*(22/7) = 3850 m²Correct choice is B (with slight difference)
Answer:
B. 3850 m²
Step-by-step explanation:
The area of the base of the lighthouse can be modeled as a circle.
Area of a circle
[tex]\textsf{A}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
Given:
r = 35 mπ = 22/7Substitute the given values into the formula and solve for A:
[tex]\implies \sf A=\dfrac{22}{7} \cdot 35^2[/tex]
[tex]\implies \sf A=\dfrac{22}{7} \cdot 1225[/tex]
[tex]\implies \sf A=\dfrac{26950}{7}[/tex]
[tex]\implies \sf A=3850\:\:m^2[/tex]
Therefore, the area of the circular base of the lighthouse is 3850 m²
James defines a circle as the set of all the points equidistant from a given point. His statement is not precise enough because he should specify that.
A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:
Center
Radius
Diameter
Points in a plane
The complete question is as follows:-
James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough
because he should specify that
A circle includes its diameter
The set of points is in a plane
A circle includes its radius
The set of points is collinear
What is a circle?A circle is a two-dimensional geometry on the plane having a center point and the circular line is drawn equidistant from the center point.
Based on James' definition of a circle, he needed to specify that the points are in a plane (option c).
As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:
the set of points on a line
the set of points in a plane
the set of points in a region
Etc
Of these numerous possible interpretations, James should have specified that the set of points is in a plane
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Rhombus RSTU is congruent to rhombus
WXYZ. Could rhombus RSTU be a
translation image of rhombus WXYZ?
Why or why not? Can you be sure that
rhombus RSTU is a translation image of
rhombus WXYZ? Why or why not?
Rhombus RSTU is congruent to WXYZ, and are translational images of each other because all their sides and angles are equal
What are the properties of a rhombus?Some of the properties of a rhombus are;
The sides are congruent.All the opposite sides are parallel to each other.Diagonals bisect each other perpendicularly.The angles are supplementary, that is, they add up to 180°If Rhombus RSTU is congruent to WXYZ, then they are both translation images of each other because all their sides and angles are equal.
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For the function f(x) and g(x) given in the graph. Find f(g(2))
Answer:
f(g(2)) = 4
Step-by-step explanation:
find g(2) then substitute the value obtained into f(x)
locate x = 2 on the x- axis, go vertically up to meet g(x) at (2, 5 )
locate x = 5 on the x- axis, go vertically up to meet f(x) at (5, 4 )
then f(g(2)) = 4
Justin rides his bicycle 2.5 kilometers to school.
Luke walks 1,950 meters to school. How much
farther does Justin ride to school than Luke
walks to school?
Answer:
1 kilometre = 1000 metres
2.5km = 2.5 × 1000m = 2500m
2500 - 1950 = 550m
Therefore Justin rides 550m farther than Luke walks to school.
Which scatter plot shows a negative linear association?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
If you imagine the dots continued in a connected line, (imagining where the data points will likely go), the line's slope informs you if it is a negative (going down/negative slope) linear association or if it's a positive (going up/positive slope) linear association.
For A, it has a positive slope [as it increases].
For B, it also has a positive slope
For C, there is no correlation, the dots are not showing any trends
For D, there is a negative slope.
This means that the scatter plot D shows a negative linear association.
Option (D) shows a negative linear association between the variables is the correct answer.
A scatter plot is a type of data visualization that shows the relationship between different variables. Scatter plots are used to plot data points on a horizontal and a vertical axis in an attempt to show how much one variable is affected by another.
For the given situation,
The graph shows the data points on a horizontal and a vertical axis.
A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.
Among graphs, in option (D) when one variable tends to increase in the x-axis, the other variable decreases in the y-axis.
Hence we can conclude that option (D) shows a negative linear association between the variables is the correct answer.
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A rental car company charges $63.41 per day to rent a car and $0.05 for every mile driven. Ella wants to rent a car, knowing that: She plans to drive 275 miles. She has at most $200 to spend. What is the maximum number of days that Ella can rent the car while staying within her budget?
Answer:
2 days
Step-by-step explanation:
275 miles times 0.05 = $13.75 for mileage
200-13.75=186.25 left
186.25/63.41(daily fee)= 2.93
She can rent it for 2 days
create an Ordered pair located on the X axis using -6,-2,0,3,5
Answer:(-6,0)
Step-by-step explanation:
Can anyone please help me with this I been working on this for hours
I NEED HELP LIKE ASAP
50 points!!
5. The table shows the number of stories in eight
buildings. Which statement is true?
Table:
15 15 18 20 22 24 26 40
a. The mode is greater than the mean.
b. There are no outiers.
c. The mode best describes the data.
d. The meon is greater than the median
Quadrilateral ABCD is a rhombus. What conditions must be true?
Answer: B, C, D
Step-by-step explanation:
A rectangle must have at least one right angle, not a rhombus. So, A is wrong.This is a specific property of a rhombus, so B is correct.This is a specific property of a rhombus, so C is correct.Since all rhombi are parallelograms, and diagonals of a parallelogram bisect each other, D is also correct.Latoya bought 8 pounds of potatoes at a local wholesaler for $18. Her friend Herman bought 6 pounds of potatoes at the supermarket for $15. Herman thinks he got the better deal because $15 is less than $18.
Answer:
Herman is wrong. Latoya got the better deal.
Step-by-step explanation:
Latoya bought 8 pounds of potatoes for $18.
► 18 / 8 = $2.25 per pound
Herman bought 6 pounds of potatoes for $15.
► 15 / 6 = $2.50 per pound
Cheaper per pound is better!
Distribute and simplify these radicals.
√12-(-1+√5)
O-4√3
0-2√3+2√15
O 4√3
06√3
K
[tex] \sqrt{12} + 1 - \sqrt{5} \\ = \sqrt{4} \times \sqrt{3} + 1 - \sqrt{5} \\ = 2 \sqrt{3} + 1 - \sqrt{5} [/tex]
Find x??? Please help asappppp
Answer:
It's at the beginning of x+4, the 2nd symbol of 4x-4, and the beginning of X+1.
Step-by-step explanation:
No explanation for you! Just choose them! It's right!
scientist wants to estimate the puffin population on puffin island
Answer:
The cliffs are home to many seabirds. Despite its name, there are few puffins (around 50 pairs during the April-July breeding season).
Step-by-step explanation:
OP=
04
06
08
Helppppppppppppp
Answer:
the answer is 6 just add the radius of both circle
Answer:
OP is 6
Step-by-step explanation:
Because we av being given d parameters
4 is d radius of the first circle and 2 is d radius of the second circle so automatically d answer is 6
a is a common factor of 72 and 108
b is common multiple of 4 and 10
work out the highest possible value of a/b
Answer:
the value is 14
Step-by-step explanation:
because im just trying to get points
A polygon is shown. What is the area of the polygon ?
Answer:
C
Step-by-step explanation:
Lower rectangle = 4 * 12 = 48 in^2
Upper trapezoid 1/2 ( 5 + 12 ) * 6 = 51 in^2
total = 48 + 51 = 99 in^2
A baseball field is a square with sides of length 90 feet. What is the
shortest distance between first base and third base?
A.90
B.180 squared
C.90
D.16200 squared
Consider the function f(x) = x3 − 4x2 + 2. Calculate the limit of the difference quotient at x0 = 3 for f(x).
A student looked at the diagram below and concluded x=y.
The student justified that conclusion by saying that both angles are subtended by arc AB.
What is the students error?
What are the values of X and y?
Answer:
[tex]y = 85[/tex]
[tex]x = 95[/tex]
Emily is trying to rewrite 45 - 27 as the product of the GCF of the two numbers and
a difference. Will this work? Explain.
anyone can help please and quickkkk
The values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a linear equation in three variable:
2x + 3y - z = 5 ...(1)
4x - y - z = -1 ...(2)
x + 4y + z = 12 ...(3)
[tex]\rm \mathrm{Substitute\:}x=\dfrac{5-3y+z}{2}[/tex] (from the equation 1 and 2)
After solving:
[tex]\rm \begin{bmatrix}-7y+z+10=-1\\ \dfrac{5y+3z+5}{2}=12\end{bmatrix}[/tex]
From the above, two equations:
y =2
z =3
Plug the above values in equation 1
x = 1
Thus, the values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.
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Find the values of x in the following figures.
Please help
Answer:
1) x = 15°2) x = 60°Step-by-step explanation:
1)(2x + 4x + 6x) * 2 = 360*
2x + 4x + 6x = 180°
12x = 180°
x = 180 : 12
x = 15
2)(2x + x) * 2 = 360
2x + x = 180
3x = 180
x = 180 : 3
x = 60°
55 POINTS!!!!!! WILL GIVE BRAINLIEST!!!!!!! PLS HELP ASAP!!!!!
Danielle is trying to solve the equation [tex]8^x=\frac{1}{64}[/tex]. Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.
Answer:
x=-2
Step-by-step explanation:
Given equation:
8^x= 1/64
Ensure both sides of the equation are in power format by changing 1/64
1/64 = 64^-1
8^x = 64^-1
2^3(x) = 2^6(-1)
The bases will cancel out each other
3(x) = 6(-1)
3x = -6
x = -6/3
x = -2
Check
8^x = 1/64
x = -2
8^-2
= 1/8²
= 1/8*8
= 1/64
y=4(3)^x complete a table showing y values for values of x from 0 to 5
To solve this problem, we just have to substitute the values into the exponential equations and solve.
Exponential EquationIn the given exponential equation, we simply need to plug in the values of x from 0 to 5
[tex]y = 4(3)^x[/tex]
when x = 0
[tex]y = 4(3)^x\\y = 4(3)^0\\y = 4[/tex]
when x = 1
[tex]y = 4(3)^x\\y = 4(3)^1\\y = 12\\[/tex]
when x = 2
[tex]y = 4(3)^2\\y = 36[/tex]
when x = 3
[tex]y = 4(3)^3\\y = 108[/tex]
when x = 4
[tex]y = 4(3)^4\\y = 324[/tex]
when x = 5
[tex]y = 4(3)^5\\y = 972[/tex]
From the calculations above, the value of y when x is from 0 to 5 are
x(0) = 4x(1) = 12x(2) = 36x(3) = 108x(4) = 324x(5) = 972Learn more on exponential equations here;
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help please i need the answer.
i think you just have to do 3 + 14+2+2+3and then solve i guess
Solve the following system of equations. Show all work and solutions.
y = 2x^2 + 6x + 1
y = −4x^2 + 1
Make the equations equal and solve for x
2x²+6x+1=-4x²+16x²+6x=06x(x+1)=06x=0 or x+1=0x=0 or x=-1For x=0
y=-4(0)+1=1For x=-1
y=-4(1)+1=-3The solutions are
(0,1) and (-1,-3)Graph attached
A cylinder has a diameter of 10 inches in the height four times the radius what is the volume
Answer:
500π in^3
Step-by-step explanation:
The radius is half the diameter, so the radius is 5 in. Since the height is four times that, the height is 20 in.
The equation for the volume of a cylinder is:
[tex]V = \pi r^{2}h[/tex]
We can plug in the radius and height:
[tex]V = \pi \times (5)^{2} \times 20\\V = \pi \times 25 \times 20\\V = 500\pi in^{3}[/tex]
(3+13-10)+14÷2+4 how do you solve this ?
Answer: 17
Step-by-step explanation:
Don't forget about PEMDAS. (parentheses, exponents, multiplication, division, addition, subtraction)
Start with parentheses
(3+13-10)... 13+3= 16, 16-10=6 ...
so (3+13-10)=6
Now we have...
6 + 14 / 2 + 4
No exponents so we go on.
no multiplication so we go on
Now division...
14 / 2 = 7 because 7 x 2 = 14
Now we have...
6 + 7 + 4
now we do addition, addition is commutative so you can add it in any order you want
6 + 7 = 13, 13 + 4 = 17
therefore, the answer is 17
Calculate the Theoretical probability of the following experiments.
Use a tree diagram to visualize your calculations. *** Note that these are independent experiments. Once she has removed a fruit, she will put it back in before removing a second fruit.***
Jane has a bag with 5 oranges, 4 grapefruits, and 3 apples.
What is the probability that she will NOT randomly take out two oranges in a row?
What is the probability that she will NOT randomly take out two grapefruits in a row?
What is the probability that she will NOT randomly take out two apples in a row?
What is the probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order?
The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
A.) The probability that she will NOT randomly take out two oranges in a row,
Probability = 1 - (5/12)² = 0.8264
B.) The probability that she will NOT randomly take out two grapefruits in a row,
Probability = 1 - (4/12)² = 0.8264 = 0.8889
C.) The probability that she will NOT randomly take out two apples in a row,
Probability = 1 - (3/12)² = 0.8264 = 0.9375
D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,
Probability = (7/12) × (9/12) × (8/12) = 0.2917
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