1 centimeter on the scale drawing of rectangular park represents 15 feet of the actual parking lot.
What is rectangle?
A rectangle is a four-sided flat shape with four right angles. It is a type of quadrilateral. Rectangles have opposite sides that are parallel and equal in length, and all four interior angles are right angles (90 degrees).
We know that the width of the actual parking lot is 48 feet. We also know that on the scale drawing, the width is represented by 3.2 cm. Therefore, we can set up a proportion to find out how many feet are represented by 1 centimeter on the scale drawing:
[tex]$\frac{48 \text{ feet}}{3.2 \text{ cm}} = \frac{x \text{ feet}}{1 \text{ cm}}$[/tex]
where x is the number of feet represented by 1 centimeter on the scale drawing.
We can solve for x by cross-multiplying:
[tex]$48 \text{ feet} \times 1 \text{ cm} = 3.2 \text{ cm} \times x \text{ feet}$[/tex]
Simplifying, we get:
[tex]$x = \frac{48 \text{ feet} \times 1 \text{ cm}}{3.2 \text{ cm}} = 15 \text{ feet}$[/tex]
Therefore, 1 centimeter on the scale drawing represents 15 feet of the actual parking lot.
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Which expressions are equivalent to − 1 3(12−3+6x)?
Answer:
We can simplify the expression as follows:
- First, we can simplify inside the parenthesis: 12 - 3 + 6x = 9 + 6x.
- Next, we can substitute this simplified expression back into the original expression:
-1/3(9 + 6x) = -3 - 2x, distributing the -1/3 through.
Therefore, -1/3(12-3+6x) is equivalent to -3-2x.
7+7+39+4939+3836+382= what
Answer:
The answer would be 9,210
Given the diagram above, m2Z is:
180°
120°
60°
30°
Answer:
120°
Step-by-step explanation:
In a quadrilateral, the angle sum is 360°
Therefore,
2t+2t+t+t = 360
6t = 360
t = 360÷6
t= 60°
Now,
Z = 2t
Z = 2 × 60
= 120
Write a numerical pattern that represents the rule y=x-9 starting with x=100
Answer:
y = 91
as the x value increases the y value also increases.
The x and y value will always be 9 numbers apart as it increases.
Step-by-step explanation:
y = x-9, x = 100
y = 100 - 9
y = 91
(100, 91)
The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18. If there are 500 pages in the book, which sentence most closely summarizes the data?
Answer:
The letter t occurs more than 26 times on approximately 420 of these pages.
Step-by-step explanation:
1 standard deviation below mean = M - SD
= 44 - 18 = 26
This implies that that "26" is 1 s.d. below the mean, which is at the 16th percentile.
Thus, there is a 0.16 chance that "t" will occur less than 26 times on any single page.
consequently, there is a 0.84 chance that it will occur more than 26 times on any single page.
Plez help
Which statement accurately describes how to reflect point A (3, -1) over the y-axis?
Construct a line from A parallel to the x-axis, determine the distance from A to the x-axis along this parallel
line, find a new point on the other side of the x-axis that is equidistant from the x-axis.
O Construct a line from A perpendicular to the y-axis, determine the distance from A to the y-axis along this
perpendicular line, find a new point on the other side of the y-axis that is equidistant from the y-axis.
Construct a line from A perpendicular to the x-axis, determine the distance from A to the x-axis along this
perpendicular line, find a new point on the other side of the x-axis that is equidistant from the x-axis.
O Construct a line from A parallel to the y-axis, determine the distance from A to the y-axis along this parallel
line, find a new point on the other side of the y-axis that is equidistant from the y-axis as A is.
The statement "Construct a line from A perpendicular to the y-axis, determine the distance from A to the y-axis along this perpendicular line, find a new point on the other side of the y-axis that is equidistant from the y-axis" accurately describes how to reflect point A (3, -1) over the y-axis
How to reflect a point over the y-axis?To reflect a point over the y-axis, you need to find a new point that is the same distance from the y-axis as the original point, but on the other side of the y-axis.
This can be done by constructing a perpendicular line from the original point to the y-axis, determining the distance from the original point to the y-axis along this line, and then finding a new point on the other side of the y-axis that is the same distance from the y-axis as the original point.
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The moneybox have 600 coins with 50 cent and 20 cent pieces .
How many cents were in the box
Answer:
Let's use algebra to solve the problem.
Let x be the number of 50 cent pieces in the moneybox.
Then the number of 20 cent pieces in the moneybox is 600 - x (since there are 600 coins in total).
The value of x 50 cent pieces is 50x cents.
The value of (600 - x) 20 cent pieces is 20(600 - x) = 12000 - 20x cents.
The total value of the coins is the sum of these two values:
50x + (12000 - 20x) = 3000 + 30x
So there are 3000 + 30x cents in the moneybox.
To find the total number of cents, we need to evaluate this expression for x:
3000 + 30x
We don't know the value of x, but we do know that there are 600 coins in the moneybox, so we can set up another equation:
x + (600 - x) = 600
Simplifying this equation, we get:
x + 600 - x = 600
Simplifying further, we get:
600 = 600
This equation is always true, which means we can solve for x in terms of 600:
x = 600 - (600 - x)
x = 600 - (600 - x)
x = 600 - (600 - x)
x = 600 - 600 + x
x = x
So x can be any value between 0 and 600.
To find the total number of cents in the moneybox, we need to evaluate the expression 3000 + 30x for any value of x between 0 and 600.
The minimum value of this expression occurs when x = 0:
3000 + 30(0) = 3000
The maximum value of this expression occurs when x = 600:
3000 + 30(600) = 21000
So there are between 3000 and 21000 cents in the moneybox, depending on how many 50 cent pieces there are.
Hope This Helps!
Plot the points (-8, 7) and (5, 7) on the coordinate plane below.
What is the distance between these two points?
units
Therefore, the distance between the two points is 13 units.
What is distance?Distance is the measure of the length between two points or objects. It is the amount of space between two points, or the length of a path traveled by an object. Distance is typically measured in units such as meters, kilometers, miles, feet, or yards. In physics, distance is often used to describe the separation between two objects in space, and it is an important factor in many scientific calculations, such as speed, velocity,
and acceleration.
by the question.
Here is the plot of the two points on the coordinate plane:
The first point (-8, 7) is plotted 8 units to the left of the y-axis and 7 units above the x-axis. The second point (5, 7) is plotted 5 units to the right of the y-axis and 7 units above the x-axis.
To find the distance between these two points, we can use the distance formula:
[tex]distance =\sqrt((x2 - x1)^2 + (y2 - y1)^2)[/tex]
where?[tex](x_1, y_1)[/tex]and [tex](x_2, y_2)[/tex] are the coordinates of the two points.
Plugging in the coordinates, we get:
[tex]distance = \sqrt((5 - (-8))^2 + (7 - 7)^2)[/tex]
= [tex]\sqrt((13)^2 + (0)^2)[/tex]
= [tex]\sqrt(169)[/tex]
= 13
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4. What are the values of x and y? (1 point)
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
How do I solve for x
Step-by-step explanation:
Using triangle ratios:
x is to 20 as 21 is to 29
x/20 = 21/29 x = 20 * 21/29 = 14.5 units
OR
x is to 21 as 20 is to 29
x/21 = 20 / 29 x = 21 * 20/29 = 14.5 units
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.
Check the picture below.
Given m|n, find the value of x.
(8x-7)°
(9x-28)
PLEASE HURRY!!!
Answer:
x = 21
General Formulas and Concepts:
Geometry
Corresponding Angles - Angles that are congruent to each other and occur with parallel linesStep-by-step explanation:
Step 1: Identify
We see that the measures given are Corresponding Angles
Step 2: Solve for x
Set up equation: 8x - 7 = 9x - 28Subtract 8x on both sides: -7 = x - 28Add 28 on both sides: 21 = xRewrite: x = 21Can someone help, please? Thanks!
Each points can be determine as the ordered pair (x, y) with inequalities;
W ⇒ x ≥ 5 and y < -1
X ⇒ x ≥ 5 and y > 1
Y ⇒ x < -5 and y ≥ 5
Z ⇒ x < -1 and y < -4
Define the term graph?A chart in x-y hub plot is a visual portrayal of numerical capabilities or data of interest on a Cartesian direction framework. The horizontal, or independent, variable is represented by the x-axis, while the vertical, or dependent, variable is represented by the y-axis. To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.
According to the graph each points can be determine with inequalities;
W = (5, -2) ⇒ x ≥ 5 and y < -1
X = (5, 2) ⇒ x ≥ 5 and y > 1
Y = (-6, 5) ⇒ x < -5 and y ≥ 5
Z = (-2, -5) ⇒ x < -1 and y < -4
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What is the relationship between the 7 in the thousands place and the 7 in the ten thousands place?
A. The 7 in the thousands place is one tenth the size of the 7 in the ten thousands place.The 7 in the thousands place is one tenth the size of the 7 in the ten thousands place.
B. The 7 in the thousands place is ten times the size of the 7 in the ten thousands place.The 7 in the thousands place is ten times the size of the 7 in the ten thousands place.
C. The 7 in the thousands place is one hundred times the size of the 7 in the ten thousands place.The 7 in the thousands place is one hundred times the size of the 7 in the ten thousands place.
D. The 7 in the thousands place is one hundredth the size of the 7 in the ten thousands place.
Answer:
D. The 7 in the thousands place is one hundredth the size of the 7 in the ten thousands place.
Step-by-step explanation:
The 7 in the thousands place is ten times greater than the 7 in the ten thousands place.
Explanation:The relationship between the 7 in the thousands place and the 7 in the ten thousands place can be understood by their positions within the number. In a multi-digit number, each digit has a place value based on its position. The place value of a digit determines its worth. For example, the 7 in the thousands place is ten times greater than the 7 in the hundreds place, and the 7 in the ten thousands place is ten times greater than the 7 in the thousands place. Therefore, the 7 in the thousands place is ten times greater than the 7 in the ten thousands place.
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find the area of this semi-circle with radius, r=98cm. give your answer to 1dp
The area of a semicircle with radius r is given by the formula A = (πr^2)/2.
Substituting r = 98cm, we get:
A = (π(98cm)^2)/2
A = 4,801.089 cm^2 (using π = 3.14159265)
Rounding to 1 decimal place we get 4,801.1 cm^2.
Therefore the area of semi-circle rounding to 1 decimal point is
4,801.1 cm^2.
Refer the following link to know more about Semi-Circle:
https://www.cuemath.com/measurement/area-of-semicircle/
Can someone do this for me pls?
Answer:
A) x=12
Step-by-step explanation:
Total of markers in her bag is: 8+4+1+12=25.
The chanse that she can pull out green marker is [tex]\frac{4}{25}[/tex].
[tex]\frac{4}{25} *75=4*3=12[/tex]
Estimate the length of the hypotenuse. 57 C07 D KUP H
We can estimate that the length of the hypotenuse is about 8.6 units.
Estimating the length of the hypotenuseWe can use the Pythagorean theorem to estimate the length of the hypotenuse of the right triangle formed by the given opposite and adjacent sides.
The Pythagorean theorem states that:
c^2 = a^2 + b^2
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides of the right triangle.
Substituting the given values, we get:
c^2 = 7^2 + 5^2
c^2 = 49 + 25
c^2 = 74
To estimate the length of the hypotenuse, we can take the square root of both sides:
c ≈ √74
c ≈ 8.6 (rounded to one decimal place)
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URGENT!! Will give brainliest if correct :)))
Different groups of 100 graduates of a business school were asked the starting annual salary for their first job after graduation, and the sampling variability was low. If the average salary of one of the groups was $96,000, which of these is least likely to be the average salary of another of the groups?
A. $97,000
B. $96,000
C. $85,000
D. $98,000
Answer:
It is C
Step-by-step explanation:
I took it. But, check to be sure.
You pick a card at random. 7 8 9 What is P(greater than 8)? Write your answer as a fraction or whole number
2/3. The probability of picking a card greater than 8 is 2/3, as there are two cards with values greater than 8 (9 and 10) out of three total cards (7, 8, and 9).
To calculate the probability of picking a card greater than 8, we need to know how many cards have values greater than 8 out of the total number of cards. In this case, there are three cards: 7, 8, and 9. Out of those three cards, two have values greater than 8 (9 and 10). Therefore, the probability of picking a card greater than 8 is 2/3. We can express this probability as a fraction (2/3) or as a decimal (0.67). Hence,The probability of picking a card greater than 8 is 2/3, as there are two cards with values greater than 8 (9 and 10) out of three total cards (7, 8, and 9).
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PLEASE HELP ME DUE MIDNIGHT!
Arrange these number card to make the smallest possible number that rounds to 3 when rounding to the nearest whole number 3250
Answer: What number cards??
Step-by-step explanation:
Ines's younger brother will be home in a half hour. If her garden hose flows at a rate 24 gal/min, does she have enough time to fill the pool before he gets home? Explain.
Since the volume of the pool is 948.98 gallons gallons and the garden hose can fill 720 gallons in half an hour, it is clear that Ines cannot fill the pool completely before her brother gets home in half an hour.
To determine if Ines has enough time to fill the pool before her brother gets home, we need to calculate the volume of the pool and the amount of water that the garden hose can fill in the given time.
The pool is cylindrical with an outer diameter of 9 ft and a height of 3 ft, which means the radius of the pool is 4.5 ft (half the diameter).
The width of the pool is given as 10 inches, which is 10/12 = 0.83 ft
radius of inner pool = 4.5-0.83 = 3.67 ft
The volume of the pool can be calculated using the formula for the volume of a cylinder:
[tex]V_{pool} = \pi r^2h[/tex]
where π is approximately 3.14, r is the radius, and h is the height.
Substituting the given values, we get:
[tex]V_{pool} = 3.14 * (3.67)^2 * 3[/tex]
[tex]V_{pool} = 126.87 ft^3[/tex]
To convert this volume to gallons, we need to multiply by the conversion factor of 7.48 gallons per cubic foot:
[tex]V_{pool} = 126.87 * 7.48[/tex]
[tex]V_{pool }= 948.98 gallons[/tex]
Now we need to determine how much water the garden hose can fill in half an hour, which is 0.5 hours.
The flow rate of the garden hose is given as 24 gallons per minute, so in half an hour it can fill:
24 gallons/min * 30 min = 720 gallons
Since the volume of the pool is 948.98 gallons gallons and the garden hose can fill 720 gallons in half an hour, it is clear that Ines cannot fill the pool completely before her brother gets home in half an hour.
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The complete question is :
Ines's younger brother will be home in a half hour. If her garden hose flows at a rate 24 gal/min, does she have enough time to fill the pool before he gets home? Explain. (Hint: 1 ft = 7.48 gal)
If I have a jug with 30 mL of cordial mixed into 300 mL of water, what is the fraction of water in the jug?
An electrician charges $90 to identify a problem and $85 per hour to fix the problem. The total c equals 85 times the number of hours x plus 90. What expression (rule) describes the relationship?
The intercept might not make sense in these types of issues, but that is alright. The electrician is unaware of the significance of the x-value. intercept's
y=85x+90
The constant 90 is the hourly rate that does not fluctuate, and x is the amount of hours units are dollars. The rate at which the slope is increasing in this instance is 85 per hour. The independent variable is the number of hours that can be determined. The dependent variable is the price. depends on hours, which is typically on the y-axis, whereas the independent variable is typically on the x-axis.
cost $ 90, and the y-intercept (0,90)
Where y=0 is at -2.5 is where the x-intercept is located.
The intercept might not make sense in these types of issues, but that is alright. The electrician is unaware of the significance of the x-value. intercept's
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An artist is working on the design for a deck. She starts by drawing quadrilateral JKLM. She then translates the quadrilateral 3 units right and 2 units down. What are the coordinates of the vertices of the image of the translation? Describe the algebraic rule you used to find the coordinates.
The coordinates of the vertices of the image of the translation
J'(−2,−1) and K'(1,1) and L'(2,−1) and M’(1,−3) are:
(x, y)⇒ (x+3,y−2)
Add 3 to each x-coordinate and subtract 2 from each y-coordinate of the vertices of quadrilateral JKLM to find the vertices of the translated image.
J(-5,1): J' (-5 + 3, 1-2)
Or, J'(-2,-1)
K(−2,3): K’(−2+3,3−2)
Or, K’(1,1)
L(−1,1): L’(−1+3,1−2)
Or, L’(2,−1)
M(−2,−1): M’(−2+3,−1−2)
Or, M’(1,−3)
Now,
The vertices of the translated image are:
J’(−2,−1) and K’(1,1) and L’(2,−1) and M’(1,−3)
Again,
The algebraic rule to describe the translation is:
(x, y) ⇒ (x+3,y−2)
Therefore,
The vertices of the translated image:
J'(−2,−1) and K'(1,1) and L'(2,−1) and M’(1,−3) are:
(x, y)⇒ (x+3,y−2)
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answer the question below sorry making this again
a sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects. what is the probability that at least one of the calculators is defective? group of answer choices
The probability that at least one calculator will be defective is 0.7305.
The probability that at least one of the calculators is defective can be calculated using the formula:
P(at least one defective calculator) = 1 - P(no defective calculator)
The probability of selecting a defective calculator from the group of defective calculators is 16/46.
Since the calculators are selected randomly, the probability of selecting a non-defective calculator is 30/46.
Therefore, the probability of selecting 4 non-defective calculators from the group of 46 calculators is:
30/46 × 29/45 × 28/44 × 27/43 = 0.2695 (rounded to 4 decimal places)
Using the formula above, we can calculate the probability that at least one calculator will be defective:
P(at least one defective calculator) = 1 - P(no defective calculator)P(no defective calculator)
= 1- 0.2695 P(at least one defective calculator)
= 1 - 0.2695
= 0.7305
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How many triangles are formed by drawing all the diagonals from a single vertex? Submit Work it out Not feeling ready yet? These can help: Triangle Angle-Sum Theorem (72) Polygon vocaobulary
Four triangles would be formed by drawing all the diagonals from a single vertex of a hexagon.
When all the diagonals are drawn from a single vertex of a polygon, the number of triangles formed depends on the number of sides of the polygon. To calculate the number of triangles, we need to use the formula:
number of triangles = (number of sides - 2)
For example, if we have a pentagon (a polygon with five sides), the number of triangles formed from a single vertex would be:
number of triangles = (5 - 2) = 3
So, three triangles would be formed by drawing all the diagonals from a single vertex of a pentagon.
Similarly, for a hexagon (a polygon with six sides), the number of triangles formed would be:
number of triangles = (6 - 2) = 4
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simplify the question: √256÷2√8
Answer:
1) Since 16 x 16 = 256, the square root of 256 is 16.
16÷2√8
2) Simplify 18 to 2√2.
16 ÷ 2 × 2√2
3) Simplify 16÷2 to 8.
8 × 2√2
4) Simplify.
16√2
Done
Decimal Form: 22.627417
Answer:
22.6 (approx)
Step-by-step explanation:
[tex] \sqrt{256} = 16[/tex]
[tex] \sqrt{8} = 2 \sqrt{2} [/tex]
[tex] \sqrt{2} = 1.41 \: approx[/tex]
16 ÷ 2×(2×1.41)
16 ÷ 2×2.82
8 × 2.82
Therefore, answer is 22.56
(–84 + 17) – | –29 – 18 |
Answer:
A. -114
Step-by-step explanation:
Got it right.
I need some help with this Math problems on investments please