Answer:
52.56 square inches.
WHAT IS THE RATIO OF CIRCLES TO SQUARES
Answer: 10x2π:36x2
Explanation: So the area of the circle is πr2=10x2π. So the ratio of the area of the circle to the area of the square is 10x2π:36x2, which is equivalent to 5π:18, as required.
Put these numbers in order, starting with the largest.
Largest
293,000
545,417
779,500
459,300
273,481
Smallest
A train leaves Little Rock, Arkansas, and travels north at 85 kilometers per hour. Another train leaves at the same time and travels south at 85 kilometers per hour.
How long will it take before they are 680 kilometers apart?
Answer:
4hours
Step-by-step explanation:
1hour =85+85
=170km/h
time= distance÷
speed=170km/h
680÷170=time
=4h
Q: Wilma estimates that she’ll drive about 18,000 miles during the year. The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighborhood is $2.72. Locate the error in her calculations, and select the correction.
A: Wilma made a mistake in step 2. Instead of dividing by 12, she should have divided by 24. She should budget $170 per month for fuel expenses.
The mistake is made in the second step. The correct steps are given below.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Wilma estimates that she’ll drive about 18,000 miles during the year.
The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighbourhood is $2.72.
Locate the error in her calculations, and select the correction.
Step - 1
18000 miles/year
18000 miles / 12 months = 1500 miles/month
Step 2
1500 miles/month
1500 miles/month / 24 miles per gallon = 62.5 gallons/month
62.5 gallons/month
Step 3
(62.5 gallons/month) x ($2.72/gallons) = $170 cost/month
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Calculate the percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours
The percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours is 45.122% decrease.
What is percentage change?Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.
we know,
% change = (final- initial) / initial * 100
=(1125-2050)/1125 *100
=45.122%
Hence, percentage change be 45.122% decrease.
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( - 37 + 37 ) ÷ - 15 = What is the answerr
Answer:
0
Step-by-step explanation:
[tex]~~~(-37+37 )\div(-15)\\\\=0\div (-15)\\\\=0[/tex]
Answer:
0
Step-by-step explanation:
Following PEMDAS -37+37 is 0 and 0/-15 is also 0
Which of the following functions best fits the data shown in the scatterplot below? y=100x+2 / y=20x^2+10 / y=4^x+8 / y=2^x+5
The equation of the scatter plot is (a) y = 100x + 2
How to determine the equation of the scatterplot?The line of best fit of the scatter plot passes through the points
(x,y) = (0,2) and (1,102)
The equation is then calculated as:
[tex]y = \frac{y_2 -y_1}{x_2 -x_1}(x - x_1) + y_1[/tex]
Substitute known values in the above equation
[tex]y = \frac{102 -2}{2-1}(x - 0) + 2[/tex]
Evaluate the expression on the right-hand side
y = 100x + 2
Hence, the equation of the scatter plot is (a) y = 100x + 2
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Question 9 of 13
Which of the following scatterplots represents the data shown below?
(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47),
(9,34), (10,3), (11, 33), (12, 35)
The attached graph represents the scatter plot of the points
How to determine the scatter plot?The lists of options are not given. So, I will plot the points and upload the scatter plot as an attachment.
The points are given as:
(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47), (9,34), (10,3), (11, 33), (12, 35)
The above points would be plotted using the following scale:
x: axis -> 1 interval = 10 unitsy: axis -> 1 interval = 10 unitsSee attachment for the scatter plot
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A triangular prism is shown. A cylinder is cut out of the center of the prism. The triangular base has side lengths of 14 and 10 units. The heights of both the cylinder and prism are 8 units. The cylinder has a diameter of 5 units.
Which expression represents the volume, in cubic units, of the shaded region of the composite figure?
One-half(14)(10)(8) – π(2.52)(8)
One-half(14)(10)(8) + π(2.52)(8)
One-third (one-half)(10)(8)(14) – π(2.52)(8)
One-third (one-half)(10)(8)(14) + π(2.52)(8)
The expression that represents the volume, in cubic units, of the shaded region of the composite figure is option: A. One-half(14)(10)(8) – π(2.52)(8).
How to find the volume of a prism?If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base,
then its volume is:
V = B x h
where h is the height of that prism and B is the area of the base of that prism.
Given:
Base side length =14 and 10 units
Height=8 units
Diameter=5 units
The volume of the shaded region is;
Expression = 1-( half 14)(10)(8) - π(2.52)(8)
Expression = 1-(7) (10)(8) - π(2.52)(8)
Expression = 1- (560)- 63.33
Expression = -559-63.33
Expression = -622.33
Hence, The expression that represents the volume, in cubic units, of the shaded region of the composite figure is option: A. One-half(14)(10)(8) – π(2.52)(8).
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answer: A
the first one
The number line shows four points, which point represents the approximate location of √92?
A) Point A
B) Point B
C) Point C
D) Point D
Answer: Point D
Step-by-step explanation:
92 is in between 81 and 100, so [tex]9 < \sqrt{92} < 10[/tex]
Which is an equation of the line that
passes through the points (5,2) and
(10, -3)?
F. y=x-3
G. y=x-8
H. y=-x+7
J. y=-x+12
please help step by step if possible!!
Step-by-step explanation:
(5,2) & (10,-3)
the slope of the points are
y2 - y1 / x2- x1
-3-2/10-5
-5/5
-1
the mid point of the given points are
x= x1 + x2/2 , y= y1 +y2 /2
.
.
.
.
( , )
the equation of the line that passes through the given points are as
y+ y1 = m (x+ x1)
:. now put the value of the mid point in y1 and x1 and the value of slope in m
also find the mid point, it's hard to do it in a mobile without calculator and paper and pen
sorry
Multiply and express as a mixed fraction
6 × 2 1/9
Answer should be 12 ⅔
I need method
Please answer correctly
Multiply and express as a mixed fraction
6 × 2 1/9
19
Select the correct answer.
A developer buys an empty lot to build a small house. What is the area of the lot?
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
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Answer:
Step-by-step explanation:
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
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Please help me, will give 20 points
Answer: 64
Step-by-step explanation:
[tex]10x+8+5x-4=12x+16\\15x+4=12x+16\\3x+4=16\\3x=12\\x=4\\\\LN=12(4)+16=\boxed{64}[/tex]
Please show how you solved
Answer:
x = 7 degrees
Step-by-step explanation:
The unlabelled angle at M PLUS 12x + 24 = 180
then the unlabelled interior angle is 180 - (12x+24)
The sum of the interior angles then = 180
80 + 4x + 180-(12x+24) = 180
236 -8x = 180
x = 7
Which equation could generate the curve in the graph below?
y=3x² - 2x + 1
y=3x² - 6x +3
y=3x² - 7x + 1
y=3x² - 4x-2
F(x)=x^2-3x-2 if shifted 4 units left. The relics it g(x). What is g(x)?
answer quickly pls pls pls
Which expression is a possible leading term for the polynomial function graphed below?
correlation and regression analysis
Which of the following is equal to 5 1/3?
Consider this function.
please help!
Jillian is trying to determine what helium tank pressure she needs to fill balloons for the student council dance. Find the unknown numbers in the table until you find the best answer to the question. Which cylinder pressure will Jillian need if she plans to fill 90 balloons? Tank Pressure and Balloon Quantity Pressure in the helium cylinder (psi) Number of 9-inch balloons 100 30 150 ? 200 ? 250 ? 300 ?
Going by the standard Helium Cylinder/Balloon Chart, the amount of pressure she will require to fill 90 balloons is 300 per squared inch (PSI.)
How much pressure will each balloon take at 300 psi total?To get this amount, we simply divide the number of balloons with the total amount of PSI.
Thus:
90/300
= 0.3psi each.
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Answer: 300?
Step-by-step explanation:
tell me if i am wrong
The diagram shows 3 identical circles inside a rectangle.
Each circle touches the other two circles and the sides of a rectan
as shown in the diagram.
The radius of each circle is 2 mm.
Work out the exact area of the rectangle.
Give your answer in the form a√3 + b
where a and b are integers.
Based on the calculations, the exact area of this rectangle is equal to 16√3 + 32 mm².
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
Area = Length × Width
Note: Radius (R) is equal to 2 mm.
Joining the center of the circles would form an equilateral triangle with side length of 2R. Also, the height of the equilateral triangle is given by:
Height = √2R² - R²
Height = √3R
For the length and width of this rectangle, we have:
Length = R + 2R + R
Length = 4R
Width = 2R + height of equilateral triangle
Width = 2R + √3R
Width = (2 + √3)R
Therefore, the area of a rectangle becomes:
Area = 4R × (2 + √3)R
Area = 4(2 + √3) × R²
Area = 4(2 + √3) × 2²
Area = (8 + 4√3) × 4
Area = 16√3 + 32 mm² ≡ a√3 + b
In conclusion, a = 16 and b = 32.
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The financial analysis component of a business plan is to describe ______.
a. how your business will be organized and what type of management or department structure
your business will have
b. the ?big picture? behind your business, what your business has to offer the consumer, and
why your business will be successful
c. the size of the market, how your business will fit into the market, and how your business will
stand out from other businesses in the market
d.
where the funds to start and operate your business will come from, when you expect to see
profit, and how much profit you expect to see
Please select the best answer from the choices provided
A
B
C
D
Answer:
D where the funds to start and operate your business.........
factor the following (in picture)
got really sick and missed a bunch of school, would really appreciate the help !
Step-by-step explanation:
I hope this will help you
What is true about AngleQRT? Select two options.
Measure of angleQRT = 90°
Measure of angleQRT = Measure of angleSRT
AngleQRT Is-congruent-to AngleSTQ
Measure of angleQRT = 2*Measure of angleRTQ
AngleQRT Is-congruent-to AngleRTQ
The complete question is
"Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT?
Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ"
The true about AngleQRT options are A abd B; ∠QRT = 90 and ∠QRT = ∠SRT
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Given information;
The triangle QST is isosceles with QT ≅ ST.
The ∠STR and ∠RTQ are congruent.
Now, consider two triangles ∠QTR and ∠STR
In the following triangle
TR ≅ TR
QTR ≅ STR
QT ≅ ST
Now, according to SAS rule, two congruent triangles have congruent corresponding to their sides,
1. QR ≅ SR
2. QRT ≅ SRT
Since the above two angles are congruent so, they will have the same measure
That will be 90 degree.
Hence, The correct options are; ∠QRT = 90 and ∠QRT = ∠SRT
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Help please ………………….
Answer:
Step-by-step explanation:
Translate (13, 4) to the right 5 and up 2
Answer:
(18,6)
Step-by-step explanation:
add 5 units to X and 2 to Y
Find the slope please
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of this graph; we are provided with two points:
[tex]\star~\mathrm{(6,0)}[/tex]
[tex]\star~\mathrm{(0,-5)}[/tex]
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
What we need in order to find the slope are two points and the slope formula.Here's the formula:
[tex]\star~\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]
Where
y2 and y1 are y-coordinates
x2 and x1 are x-coordinates
Substitute the values:
[tex]\star~\mathrm{\cfrac{-5-0}{0-6}}}[/tex]
Simplify!
[tex]\star~\mathrm{\cfrac{-5}{-6}}}[/tex]
Simplify more!
[tex]\star~\mathrm{\cfrac{5}{6}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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