Final answer:
To say a shape has an area of 8 square inches means the shape covers 8 units of square inches. For similar shapes, the area comparison is the square of their scale factor; hence, if one shape's dimensions are twice another's, its area is four times larger.
Explanation:
When it is said that a shape has an area of 8 square inches, it means that the surface enclosed by the shape covers 8 units of square inches. In other words, you could fit 8 squares, each measuring 1 inch by 1 inch, inside the shape without overlapping or leaving any space inside the shape uncovered. To understand how the area of similar shapes compares, we can look into the problem involving two squares.
Marta has one square with a side length of 4 inches. A similar square has dimensions that are twice as large, meaning its side lengths are 8 inches. The area of the smaller square can be calculated as 4 inches x 4 inches, which equals 16 square inches. The area of the larger square would be 8 inches x 8 inches, resulting in 64 square inches. The ratio comparing the two areas is 64:16, which simplifies down to 4:1. This shows that the larger square's area is four times greater than that of the smaller square.
An area of 8 square inches means the shape covers a space equivalent to eight 1-inch by 1-inch squares.
To say that a shape has an area of 8 square inches means that the amount of space enclosed within the boundaries of the shape is equivalent to the area of eight 1-inch by 1-inch squares. Imagine a piece of graph paper where each small square is 1 inch by 1 inch.If the shape could be perfectly copied onto the graph paper, you would find that it covers eight of those squares.For example, an area of 8 square inches could be visualized by a variety of shapes: a rectangle measuring 2 inches by 4 inches or even an irregular shape that neatly fits inside the same area.In mathematics, there are various ways to calculate the area depending on the shape. For regular shapes like rectangles and circles, formulas are often used. But the fundamental idea of area — the measure of the space inside a shape — remains the same.select the graph that represents the given set a={(1,2),(2,3),(3,4),(4,5)
What is the interquartile range of 4 5 7 9 10 14 16 24
Answer:
The answer is 9
Step-by-step explanation: ? i did the the tetst or whatever and 9 is the correct answer.
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Translate the phrase to mathematical language. Then simplify the expression.
Subtract 81 from −55.
What is a numerical expression for the phrase?__
(Do not simplify.)
Simplify the expression.__
The median for the given set of 6 ordered data values is 32.5.
9, 12, 25, _, 41, 48
What is the missing value?
Suppose a parabola has a vertex (5,-3) and also passes through (6,1). Write the equation of the parabola in vertex form
The equation of the parabola with vertex (5, -3) and passing through (6, 1) in vertex form is y = [tex]4(x - 5)^2 - 3.[/tex]
To write the equation of a parabola in vertex form, we use the formula:
y = [tex]a(x - h)^2 + k[/tex]
where (h, k) is the vertex of the parabola. Given the vertex (5, -3) and a point (6, 1) the parabola passes through, we can plug these values into the equation to find a.
For the point (6, 1):
[tex]1 = a(6 - 5)^2 - 3[/tex]
[tex]1 = a(1)^2 - 3[/tex]
4 = a
So, the equation of the parabola in vertex form is:
y = [tex]4(x - 5)^2 - 3[/tex]
Order these numbers from least to greatest. 14325 , 5.753 , 534 , 5.34
PLZ HELP!!!!! D: D: IM FAILING PLZ HELP ;cccc
FREE POINTS!!!!!!!!!! 10 POINTS Len's recipe for blueberry muffins calls for 110.25 grams of brown sugar for the muffin batter and an additional 55.45 grams of brown sugar for the topping. Len wants to make 4.5 batches of muffins. Enter the total amount of brown sugar that Len will need
the answer is 745.65
hope i helped:)
When hired at a new job selling jewelry, you are given two pay options:
Option A: Base salary of $16,000 a year, with a commission of 7% of your sales
Option B: Base salary of $25,000 a year, with a commission of 2% of your sales
In order for option A to produce a larger income, you would need sell at least $_______ of jewelry each year
You are required to sell a minimum of 180,001 of jewelry each year.
Given that,
The base salary is $16,000 per year and there is a 7% commission on sales for option A. The base salary is $25,000 per year and there is a 2% commission on sales for option B.Also, let us assume the sales be xBased on the above information, the following expression should be made:
16,000 + 0.07x > 25,000 + 0.02x
0.07x - 0.02x > 25,000 - 16,000
0.05x > 9000
x > 9000 ÷ 0.05
x > 180,000
Therefore we can conclude that you are required to sell a minimum of 180,001 of jewelry each year.
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Which of the following is a sample of the population of bookstores on the West Coast of the United States? I. All book stores in California II. Randomly selected children's book stores III. Internet book stores A. I only B. II only C. I and III D. III only E. I and II
Answer:
It would be I - All bookstores in California
Step-by-step explanation:
Internet book stores and random children's bookstores do not specify that they're on the West Coast and could be taken from anywhere
Which BEST describes the construction of a triangle if given one side length of 10 cm and one right angle?
A)
Unique triangle
B)
More than one triangle
C)
Triangle not possible
D)
Cannot be determined
Answer:
b
Step-by-step explanation:
what is the decimal of 77/200?
A rectangular floor is 24 feet long and 9 feet wide. What is the area of the floor in square yards?
An interior angle and an exterior angle are adjacent. The interior angle measures 84°. What is the measure of the exterior angle?
The measure of the exterior angle is
What is Exterior Angle?External angles are those that run parallel to a polygon's inner angles but are located outside of it. The sum of the two internal opposed angles determines the size of an outside angle.
We have,
The interior angle measures 84°.
We know that
Exterior angle + interior angle = 180
Exterior angle = 180 - Interior angle
Exterior angle = 180 - 84
Exterior angle = 96
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The average American consumes about 20 gallons of ice cream in one year. At this rate, how many liters of ice cream will 50 Americans consume in one week? Round to the nearest hundredth.
Without graphing, tell which statements are true for the graph of the function y = x2 + 2.
I. All points on the graph are above the origin.
II. All points on the graph have positive x-values.
III. All points on the graph have positive y-values.
Statements (... and ...) are true. Statement (...) is true because x^2 is non-negative for all values of x, so the minimum value of x^2 is 0. Thus, the minimum y−value for the function is (...) and the lowest point on the graph is (0, ...), which is above the origin. Statement (...) is true because the lowest point on the graph is (0, ...) so all other points have a y−value that is greater than (...) and must be positive.
Statements I and III are true as per the defined function y=x^2+2. The graph of this function would have all points above the origin and all points would have positive y-values. Statement II is incorrect as x can take both negative and positive values.
Explanation:Considering the three statements given, only the statements I and III are true. This is because for the function y = x^2 + 2, all points on the graph are above the origin and all points on the graph have positive y-values.
Statement I is true because the function x^2 is non-negative for all values of x, which means that the minimum value of x^2 is 0. As a result, the minimum y−value for the function is 2 when x=0 and the lowest point on the graph is (0, 2), which is indeed above the origin.
Statement III is true because the lowest point on the graph is (0, 2) and since 2 is positive all other points have a y−value that is greater than 2 and therefore must be positive. Statement II is not true as x can take both negative and positive values in the function y=x^2+2.
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what is -8 3/4 + -11 1/3
Determine whether the fractions -4/5, -4/6, -4/7, and -4/8 are arranged in order from least to greatest. explain
x+29=−11
what does X equal
Deanna has 80 books in her collection. If 60% of the books are fiction, how many of the books are nonfiction?
if 60% is fiction, then 40% are non fiction
80 x 40% =
80 x 0.40 = 32
32 books are nonfiction
Jerry lost his credit card and instead of reporting it right away, he decides to continue looking for it believing he could find it. Some time passes and after two weeks, he logs into the account activity page of his credit card and sees a recent $500 internet purchase that was made by someone else. At that moment, he calls to report his card stolen. How much of this $500 charge is Jerry at risk for having to pay?
Jerry did not report his lost credit card right away believing that he could find it. Fraudulent transactions were made on his account and he is responsible to pay the maximum amount of $50 under the Fair Credit Billing Act (FCBA).
Jason bought 5 movie tickets and a bag of popcorn Jeremy bought 2 movie tickets they spent 54$ total. If the popcorn cost 5$, how much did each movie ticket cost?
how to solve an equation for x with natural log of x
A logarithmic equation involving natural logarithms can be solve by taking the exponent of both sides
How to solve a natural logarithmic equation for x
To solve an equation involving the natural logarithm of x, you generally follow these steps:
Isolate the natural logarithm termExponentiate both sidesSolve for x: After removing the natural logarithm, solve the resulting equation for x.Take for instance, the equation is of the form
2 + ln(x) = 7
Isolate the natural logarithm
ln(x) = 5
Take the exponent of both sides
So, we have
[tex]x = e^5[/tex]
Evaluate the exponent
x = 148.41
Hence, the logarithmic equation solved for x is x = 148.41
Is it possible to construct a triangle with side lengths of 11 cm, 15 cm, and 21 cm? Why or why not?
ABCD is a trapezoid. = 2.5 cm, and = 4 cm, and the area = 6.5 cm2. What is the altitude of the trapezoid?
Answer:
Altitude of the trapezoid is 2 cm.
Step-by-step explanation:
ABCD is a trapezoid. Since two bases of the trapezoid are
B1 = 2.5 cm and B2 = 4 cm.
Area given is 6.5 cm²
Then we have to calculated he altitude of the trapezoid.
Now we know the formula of area of the trapezoid = [tex]\frac{1}{2}[/tex] ( Base1 + Base2)
By putting the values in the formula
6.5 = [tex]\frac{1}{2}[/tex] ( 2.5 + 4 ) × h
6.5 = [tex]\frac{6.5}{2}[/tex] × h
h = \frac{2\times 6.5}{6.5} = 2 cm.
Answer is altitude of the trapezoid is 2 cm.
How to find the derivative of functions: y=(5x+7)(x+5)^3
scuba diver is swimming 30 feet below sea level . A hand glider passes over the position of the scuba diver. The hand glider is 215 ft above sea level.
draw a number line to represent the distance between the scuba diver and the hand glider (include sea level at zero feet)
The volume of this rectangular prism is 6x3. What does the coefficient 6 mean in terms of the problem?
A. The total volume of the prism is 6 cubic units.
B. The length is 6 times the width.
C. The width is 6 times the height and the length.
D. The length of the prism is 6 units.
Answer:
B. The length is 6 times the width
Step-by-step explanation:
The proper solution is choice B. The length is 6 times the width.
How do you resolve rectangular prisms?
To find the quantity of a rectangular prism, multiply its 3 dimensions: duration x width x height. The volume is expressed in cubic gadgets.
What are examples of square prisms?Right rectangular prisms or cuboids are all around us. a few examples are books, packing containers, homes, bricks, forums, doorways, containers, cabinets, mobiles, and laptops.
What does the coefficient mean?Any of the elements of a product taken into consideration with regards to a specific element particularly: a constant thing of a term as outstanding from a variable.
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Th local park has 4 bike racks. Each bike rack can hold 15 bikes. There are 16 bikes in the bike racks. What expression shows the total number of empty spaces in the bike racks?
F(x, y) = y3/x, p(1, 3), u = 1 3 2i + 5 j (a) find the gradient of f.