The area of a circle with a diameter of 5 feet is calculated using the formula A = πr². Halving the diameter to find the radius, then squaring it, multiplying by π (approximated as 3.14), and rounding to the nearest tenth, gives an area of 19.6 ft².
Explanation:The student's question involves finding the area of a circle with a given diameter where the circle is the table's top designed by Cory. To find the area, one must use the formula A = πr², where A is the area, π (pi) represents the mathematical constant approximately equal to 3.14, and r is the radius of the circle.
Since the diameter of the table is 5 feet, the radius will be half of that, which is 2.5 feet. Plugging this into the formula, we get A = π(2.5²) or A = π(6.25). Assuming π as 3.14, we approximate the area to 19.6 ft² after rounding to the nearest tenth.
Final answer:
To find the area of Cory's circular table with a 5-foot diameter, we calculate the radius as half the diameter (2.5 feet) and use the area formula A = πr² to get approximately 19.6 square feet when using 3.14 for pi.
Explanation:
The question asks us to find the area of a circular table that Cory designs, which seats 8 people and has a diameter of 5 feet. To calculate the area of a circle, we use the formula A = πr², where 'A' is the area, 'π' (pi) is a mathematical constant approximately equal to 3.14, and 'r' is the radius of the circle.
First, we need to find the radius, which is half of the diameter, hence the radius is 5 feet / 2 = 2.5 feet. Using the formula, the area in terms of pi is A = π(2.5 ft)². When we approximate π as 3.14, the area rounded to the nearest tenth in square feet is 3.14 * (2.5 ft)² = 19.625 ft², which can be rounded to 19.6 ft².
On a coordinate plane, a line goes through (0, negative 5) and (5, 0).
A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through the points (0, 2) and (8, -4). The equation of line t is y = −3
4
x + 2. What is the solution to this system of linear equations?
(_,_)
Answer:
(5,-5)
Step-by-step explanation:
there is 5 and there is -5 therefore it make s(5,-5)
Answer:
4,-1
Step-by-step explanation:
i just did the assingment
8 +3+7+7+ 10 = 35
What is the average value?
Answer:
7
Step-by-step explanation:
To find the average value, divide the sum by the number of numbers
8 +3+7+7+ 10 = 35 /5= 7
The average value is 7
Answer:
Step-by-step explanation:
8+3+7+7+10 = 35
35=35
Does 4 divided by 3 = 3/4?
How many times bigger is the 45,776 than 45.776
Answer:
54
Step-by-step explanation:
45,776 is exactly 1,000 times bigger than 45.776, as you can move the decimal point in 45.776 three places to the right to match the value of 45,776.
To determine how many times bigger 45,776 is than 45.776, we simply divide the larger number by the smaller number:
First, write down the two numbers: 45,776 and 45.776.Convert 45.776 to the same form as 45,776 by multiplying by 1000 (to move the decimal point three places to the right).The calculation will look like this: 45,776 / (45.776 x 1000) = 45,776 / 45,776 = 1,000.45,776 is 1,000 times bigger than 45.776.
What is a exponential function?
Answer:
hope I helped also good bless u and your family
Step-by-step explanation:
An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.
Which of the following measurements is shorter than 1 meter select all that apply
Measurements shorter than 1 meter are usually in centimeters and millimeters; for example, the length of a hand or the size of a small worm. Longer measurements such as the length of a street or the distance between towns are in meters or kilometers.
Explanation:In the metric system, the length measurements shorter than 1 meter include centimeters (cm) and millimeters (mm). To identify which measurements are shorter than 1 meter, we can consider the size or distance involved. Some options include:
The size of a small worm is definitely shorter than 1 meter and would be measured in centimeters or even millimeters.The height of a light switch is also less than 1 meter and can be measured in centimeters.The length of a hand is smaller than 1 meter and would be measured in centimeters.On the other hand, measurements that are likely to be equal to or longer than 1 meter might include:
The length of a street, which would be measured in meters or kilometers.The distance from one town to the next, which would be measured in kilometers.The depth of a pool, which could be measured in meters depending on the pool's depth.Understanding that 1 meter is roughly the distance from fingertip to fingertip when arms are stretched out to the sides can help visualize the scale when deciding on the appropriate unit for measuring length.
Can someone help me with this
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
[tex] - 9x + 1 = - 80 \\ - 9x = - 80 - 1 \\ - 9x = - 81 \\ \frac{ - 9x}{ - 9} = \frac{ - 81}{ - 9} \\ x = 9[/tex]
Find the circumference of the circle. Leave your answer in terms of .
1.
9m
Answer:
56.54 m
Step-by-step explanation:
C = 2πr = 2 x 3.14 x 9 = 56.54867
I need help pleaseeeeee
The area of the base of a rectangular juice box is 4 1/2 square inches. If the volume of the box is 18 cubic inches, how tallis the box. (Please answer with the number only)
Answer:
Height = 4 inches
Step-by-step explanation:
Volume of a Rectangular prism = Area of the base * Height
We can rearrange this to find the height
Height = Volume ÷ Area of the base
Substitute in our numbers and solve for height
Height = 18 ÷ 4.5
Height = 4 inches
Rewrite the equation by completing the square x^2+2x-35=0
Answer: [tex]x^2+2x+1=36[/tex]
Step-by-step explanation:
[tex]x^2+2x-35=0[/tex]
add 35 on both sides.
[tex]x^2+2x-35+35=0+35[/tex]
[tex]x^2+2x=35[/tex]
take the value of b (2) divide it by 2 and square it.
[tex]x^2+2x+(\frac{b}{2})^2 =35+(\frac{b}{2})^2[/tex]
[tex]x^2+2x+(\frac{2}{2})^2 =35+(\frac{2}{2})^2[/tex]
[tex]x^2+2x+(1)^2=35+(1)^2\\x^2+2x+1=35+1\\x^2+2x+1=36[/tex]
Answer:
1 for the first box and 35 for the second one.
Step-by-step explanation:
simplify each sum
(5m^4+7-m^3)+(7m^3-7m^2+1)
Step-by-step explanation:
5m4 + 7 - m3 + 7m3 - 7m2 + 1
Solving like terms
5m4 + 6m3 - 7m2 + 8
there is a large clock on the wall so students can check the time. gym class starts at 1:15 p.m and ends at 2:00 p.m. during gym class. through what fraction of a circle does the minute hand turn ? how many degrees did the minute hand turn explain
Answer:
1 1/2
Step-by-step explanation:
The stem-and-leaf plot shows the heights in centimeters of Teddy Bear sunflowers grown in two different types of soil.
Soil A Soil B
5 9
5 2 1 1 6 3 9
5 1 0 7 0 2 3 6 7 8
2 1 8 3
0 9
Key: 9|6 means 69 Key: 5|8 means 58
Calculate the mean of each data set.
Calculate the mean absolute deviation (MAD) of each data set.
Which set is more variable? How do you know?
Answer:
Soil A mean: 71.8
Soil B mean: 72
Soil A MAD: 8.16
Soil B MAD: 5.4
Soil A set is more variable because it has a greater MAD. This feature is also seen in the stem-and-leaf plot, where Soil A set is more spread than Soil B set
Step-by-step explanation:
Soil A | |Soil B
|5|9
5 2 1 1|6|3 9
5 1 0|7|0 2 3 6 7 8
2 1|8|3
0|9|
Soil A mean: (65 + 62 + 61 + 61 + 75 + 71 + 70 + 82 + 81 + 90)/10 = 71.8
Soil B mean: (59 + 63 + 69 + 70 + 72 + 73 + 76 + 77 + 78 + 83)/10 = 72
Soil A MAD: ( |65 - 71.8| + |62 - 71.8| + |61 - 71.8| + |61 - 71.8| + |75 - 71.8| + |71 - 71.8| + |70 - 71.8| + |82 - 71.8| + |81 - 71.8| + |90 - 71.8|)/10 = 8.16
Soil B MAD: ( |59-72| + |63-72| + |69-72| + |70-72| + |72-72| + |73-72| + |76-72| + |77-72| + |78-72| + |83-72| )/10 = 5.4
Simply 6(x+y) + (x-y)
The graph of an exponential model in the form y = a ⋅ bx passes through the points (2, 50) and (3, 250). Which point is also on the graph?
A. (0, 5) B. (1, 10) C. (4, 450) D. (5, 650)
The correct answer is B: (1, 10).
To determine which point is also on the graph of the exponential model [tex]\(y = a \cdot b^x\)[/tex], we can use the given points (2, 50) and (3, 250) to set up a system of equations.
For the point (2, 50):
[tex]\[50 = a \cdot b^2\][/tex]
For the point (3, 250):
[tex]\[250 = a \cdot b^3\][/tex]
Dividing the second equation by the first, we get:
[tex]\[\frac{250}{50} = \frac{a \cdot b^3}{a \cdot b^2}\][/tex]
Simplifying:
[tex]\[5 = b\][/tex]
Now that we know [tex]\(b = 5\)[/tex], we can substitute this back into either of the original equations to solve for [tex]\(a\)[/tex]. Using the first equation:
[tex]\[50 = a \cdot 5^2\][/tex]
Solving for \(a\):
[tex]\[a = 50/25 = 2\][/tex]
So, the exponential model is [tex]\(y = 2 \cdot 5^x\)[/tex].
Now we can check which of the given points is on the graph:
- For point (0, 5): [tex]\(y = 2 \cdot 5^0 = 2 \cdot 1 = 2\)[/tex]
- For point (1, 10): [tex]\(y = 2 \cdot 5^1 = 2 \cdot 5 = 10\)[/tex]
- For point (4, 450): [tex]\(y = 2 \cdot 5^4 = 2 \cdot 625 = 1250\)[/tex]
- For point (5, 650): [tex]\(y = 2 \cdot 5^5 = 2 \cdot 3125 = 6250\)[/tex]
The only point that satisfies the exponential model is (1, 10). Therefore, the correct answer is B. (1, 10).
Which of the following statements is NOT true regarding simplifying
rational expressions?
When dividing one rational expression by another rational expression, you
can rewrite your expression as a multiplication problem.
When multiplying two rational expressions together, you must first have a
common denominator.
When adding two rational expressions together, you must first have a
common denominator,
When multifying two rational expressions together, the numerators get
multiplied together while the denominators get multiplied together.
Answer:
The only untrue statement is
- When multiplying two rational expressions together, you must first have a
common denominator.
Step-by-step explanation:
A rational expression has a rational numerator and a rational denominator.
To investigate each of these statement, we take two arbitrary rational expressions
Rational expression 1 = (a/b)
Rational expression 2 = (c/d)
Taking the statements one at a time
- When dividing one rational expression by another rational expression, you
can rewrite your expression as a multiplication problem.
(a/b) ÷ (c/d) = (a/b) × (d/c)
This statement is obviously true.
- When multiplying two rational expressions together, you must first have a
common denominator.
(a/b) × (c/d) = (ac/bd)
We do not need b = d to do this multiplication, hence, this statement is false.
- When adding two rational expressions together, you must first have a
common denominator,
(a/b) + (c/d)
We first take an LCM, so that we then have
(ad/bd) + (bc/bd)
= (ad + bc)/bd
This statement is true also.
- When multiplying two rational expressions together, the numerators get
multiplied together while the denominators get multiplied together.
(a/b) × (c/d) = (ac/bd)
This statement is true.
So, only the second statement is not true.
Hope this Helps!!!
I need to solve for x.
Step-by-step explanation:
cvgchhiyf t dB rb. well can b d 7fvbdrj sh rubber. CTN b cry
An anchor chain weighs 100 pounds for every meter of chain. What is the mass of anchor chain in kilograms if it touches the bottom of the sea at 180 meters? (Assume the anchor is fully payed out. Round to the nearest whole number and do not include units or commas in your answer.) Note: There are 0.454 kilograms in a pound.
DEF is a right triangle.
HELP PLEASE
Answer:
True
Step-by-step explanation:
Because its at a 90 degree angle
Answer:
False
Step-by-step explanation:
Because I calculated the angles which were the numbers and it didn't add up to 90 degrees.
Which are good ideas to include in Luisa’s plan? Check all that apply.
Answer:
1 , 2 , 4
Step-by-step explanation:
Explain how you can find the area of a polygon
Step-by-step explanation:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.Final answer:
The area of a polygon can be estimated using a grid to count squares, with specific formulae used for regular shapes. Irregular shapes can be broken down into simpler shapes, and the areas summed up, or approximated as areas under a curve using rectangles.
Explanation:
To find the area of a polygon, one approach can be to approximate the area using graph paper. You would place the polygon over a grid and count the number of squares that are completely covered by the polygon. Partial squares would be estimated. For polygons with straight sides like triangles, rectangles, and other regular shapes, you can use specific formulae. For example, the area of a triangle is found using the formula A = wh/2, where 'w' is the base width and 'h' is the height.
To find the area of irregular shapes, the shape can be broken down into a combination of known shapes, then the area for each known shape is calculated and summed up. For instance, if you're finding the area within a curve represented by a graph, you can approximate the area under the curve by summing up the areas of rectangles (or triangles) that fit under the curve.
Write the product using exponents.
(-1\2). (1/2).(1/2).
The product (-1/2) \\cdot (1/2) \\cdot (1/2) simplifies to -1 \\cdot (1/2)^2, which equals -1/4 when written using exponents.
The product of these fractions, (-1/2) \\cdot (1/2) \\cdot (1/2), can be written using exponents. Since we are multiplying the same base, (1/2), we simply add the exponents. The fraction -1/2 can be thought of as (-1) \\cdot (1/2), so it won't affect the exponent but will contribute a negative sign to the product.
To use exponents, we count how many times the base (1/2) is used as a factor: twice. We can express this as (1/2)^2. Combining this with the negative sign from (-1/2), the final expression is -1 \\cdot (1/2)^2, which simplifies to -1/4 because (1/2)^2 = 1/4.
Please help for ten points if good enough
1 + 1 Simple. Don't fail.
Answer:
2
Step-by-step explanation:
Answer:
3. I already know I'm right, like no cap.
Janile went to the nurse to get her height and weight measured. The nurse said that
Janile is 59 inches tall. How tall is she in feet and inches?
Answer:
4 feet 11 inches
Step-by-step explanation:
Answer:
4fee and 11inch
Step-by-step explanation:
My teacher told me
solve the following system y=-2 -4x+8y=0
Answer:
x = -4
y = -2
Step-by-step explanation:
All you need to do is plug in the number given for y into the equation:
-4x + 8y = 0
-4x + 8(-2) = 0
-4x - 16 = 0
Add 16 to both sides:
-4x - 16 = 0
+ 16 + 16
____________
-4x = 16
Finally, divide both sides by -4:
-4x = 16
x = -4
So now you have, x = -4 and y = -2
Over which interval is the graph of f(x) = –x2 + 3x + 8 increasing? (–∞, 1.5) (–∞, 10.25) (1.5, ∞) (10.25, ∞)
Answer:
(–∞, 1.5) or A on edge
Step-by-step explanation:
took the test
Over (∞, 1.5), the graph of f(x) = -x² + 3x + 8 is increasing.
A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}
It is given that function is
f(x) = -x² + 3x + 8
We know that graph of f(x) is increasing if f’(x) > 0
-2x + 3 > 0
-2x > -3
x < 3/2 or 1.5
Thus, the graph is increasing over (∞, 1.5).
Learn more about Function here:
https://brainly.com/question/1293984
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The volume of a sphere with a radius of 5 cm is approximately _[blank]_ cm3.
Enter the value that correctly fills in the blank in the previous sentence.
Use 3.14 for π, and round your answer to the nearest hundredths place if necessary.
Answer:
V = 523.33 cm^3
Step-by-step explanation:
The volume of a sphere is given by
V =4/3 pi r^3
We know the radius is 5
V = 4/3 (3.14) 5^3
V=523.3333333
Rounding to the hundredths place
V = 523.33 cm^3
Answer:
523.33 cm
Step-by-step explanation:
V= 4/3 pi r3
=4/3 pi (5 cm)3
=4/3 pi (125cm)
=4/3 3.14 (125cm)
=4/3 (392.5)
Volume= 523.33 cm
Write this statement as an expression: Add 452 to the difference of 783 and 546. *
Your answer
Answer:
452 + (783-546)
Step-by-step explanation:
Using BEDMAS you would do the brackets first to find the difference of 783 and 546 then you would add 452.
452+(783-546)
452+237
=689