A circles radius is 13 meters what is the circles area using 3.14 rounded to the nearest tenth
Answers
Answer:
530.7
Step-by-step explanation:
A circle's area is defined as πr²
You would substitute 13 in for r (the radius) and use 3.14 as your given value for pi, leaving you with this:
3.14×13²
When you calculate this, it should return a value of 530.66, which rounded to the nearest tenth is 530.7
Hope this helps!
Related Questions
If you apply the changes below to the absolute value parent function, f(x)=|x|, what is the equation of the new function? Shift 4 units to the right. Shift 6units up.
Answers
If you apply the changes below to the absolute value parent function, f(x) = |x|, the equation of the new function is option A. g(x) = |x – 4| + 6
What is the new function?The mathematical function f(x) = |x|, commonly referred to as the absolute value parent function, yields the numerical value of a provided input in an absolute sense.
from the question,
\(f(x)= /x/\)
as well as the fact that It shifted 4 units to the right end 6 units up.
So, we see that:
(0) 4 units to the right
(b) 6 units up
Hence, Equation f(x)= /x/ is one that have moved the vertex of the parabola 4 units to the right as well as 6 units up.
So,
\(f(x) = a(x-h)^{2} + k\\\\f(x) = /x/\)
So by moving right it implies one is adding 4 h= 4 and going up implies adding for example. k = 6
So:
\(f(x)= |x|\\\\g(x) = /x-4/ + 6\)
So, based on the equation above, the transformation that is correct is option (A).
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See full text below
If you apply the changes below to the absolute value parent function, f(x) = |x|, what is the equation of the new function?Shift 4 units to the right.Shift 6 units up.
A. g(x) = |x – 4| + 6
B. g(x) = |x – 6| + 4
C. g(x) = |x + 6| + 4
D. g(x) = |x + 4| + 6
After x hours of rainfall today, Yvette recorded the amount of rain in inches, y, in a rain gauge. The table shows the
linear relationship for the recorded rainfall.
Rain Gauge
Time, x (hours)
3 4 5
Amount of Rain in Gauge, y (inches) 3.75 4.5 5.25
How many inches of rain was in the gauge before the rain began today, and what was the rate at which the rain fell
in inches per hour?
A. There was 0 inches in the rain gauge before the rain began, and the rain fell at a rate of 1.25 inches per hour.
B. There was 2.5 inches in the rain gauge before the rain began, and the rain fell at a rate of 1.25 inches per hour.
C. There was 3 inches in the rain gauge before the rain began, and the rain fell at a rate of 0.75 inch per hour.
D. There was 1.5 inches in the rain gauge before the rain began, and the rain fell at a rate of 0.75 inch per hour.
Answers
Using the given data, we can calculate the slope as follows:
Slope = (change in y) / (change in x) = (5.25 - 3.75) / (5 - 3) = 1.25
Therefore, the rate at which the rain fell is 1.25 inches per hour.
To find the y-intercept, we can use one of the points on the line and the slope:
y = mx + b
3.75 = 1.25(3) + b
b = 0.25
Therefore, the amount of rain in the gauge before the rain began today was 0.25 inches.
The answer is A. There was 0 inches in the rain gauge before the rain began, and the rain fell at a rate of 1.25 inches per hour.
Can you please help me please
Answers
Answer:
see attached
Step-by-step explanation:
When calculations are repetitive, a spreadsheet or calculator is a useful tool for doing them. The monthly starting salaries in each of these professions are shown in the attachment. As your problem indicates, each is arrived at by dividing the annual salary by 12.
Find the volume of the hexagonal prism .
please help . Work due in 20 minutes and I can’t get this one
Answers
Answer:
\((\frac{3\sqrt{3} }{2}(14)^2)*16\)
\(=509.22+16\)
\(8147.52m^3\)
\(ANSWER:8147.50~m^3\)
---------------------------
hope it helps..
have a great day!!
Lydia has four straws of different lengths, and she is trying to form a right triangle. The lengths are 8, 9, 15, and 17 units. Which three lengths should she use? Justify your answer.
Answers
The set of 3 lengths that make a right triangle is {8, 15, 17}
Which three lengths should she use?Remember that for any right triangle, the sum of the squares of the two shorter sides must be equal to the square of the longer side.
So if the 3 sides are A, B, and C, such that:
A < B < C
We will have:
A² + B² = C²
Now you only need to try sets of 3 values in that equation, if we use: 8, 15, and 17 we will have:
8² + 15² = 17²
289 = 289
That equationis true, thus, these 3 lengths make a right triangle.
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The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles with a diameter of w and the roof is half a cylinder. Consider greenhouse A with floor dimensions w=16 feet and l =18 feet.
A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?
Answers
9514 1404 393
Answer:
96 cubic feet
Step-by-step explanation:
A volume that is 16 ft by 18 ft by 1/3 ft will be ...
V = LWH
V = (16 ft)(18 ft)(1/3 ft) = 96 ft³
96 cubic feet of concrete are needed.
16/7 as a mixed number
Answers
Answer:
2 2/7
Step-by-step explanation:
7x2 = 14 so 2 would be the whole number.
16 - 14 = 2 so 2 would be the numerator.
This brings us to 2 2/7
Answer:
\(2 \frac{2}{7} \)
hope it's helpful ❤❤❤
THANK YOU
Let x^2+10x=6.
What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.
x^2+10x+___=___
Answers
Answer:
x² + 10x + 25 = 31
Step-by-step explanation:
To complete the square use half the x coefficent (10/2 = 5)
and square it (5² = 25)
Then add it to both sides
x² + 10x + 25 = 6 + 25
x² + 10x + 25 = 31
Answer:
x^2 + 10x + 25 = 31
Step-by-step explanation:
x^2 + 10x + (10/2)^2 = 6 + 25
x^2 + 10x + 25 = 6 + 25
x^2 + 10x + 25 = 31
The first step requires a bit of explanation. The way to complete the square is to take 1/2 the linear term (10x) and square it
1/2 10 = 5
5 squared = 25
That number must be added to the right side to maintain equality.
Choose the number to fill the blank so that the statement is TRUE. The least common multiple of _____, 12 and 18 is 36
Answers
Answer: 6
Step-by-step explanation:
The owner of a deli recorded the number of customers who ordered each of four sandwiches available if the deli has 50 customers the first hour it is open predict how many customers will order turkey sandwiches
Answers
The first hour there will be 18 costumers that will order Turkey sandwiches
Probability
First, we want to find the probability of having a costumer who choose Turkey sandwich.
In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.
Turkey sandwiches: 180
Total number of orders: 160 + 100 + 180 + 60 = 500
Ratio = turkey / total
Ratio = 180 / 500 = 0.36
Then, the probability of having a costumer who choose Turkey sanwich is
P(T) = 0.36 = 36%
Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:
Hence , the first hour there will be 18 costumers that will order Turkey sandwiches
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the bill of 424 was paid with $5 and $2 bills. A total of 128 bills were used. How many were 5s
Answers
Step-by-step explanation:
Let the number of $5 be x
Let the number of $2 be y.
Based on the information given, we can form an equation as:
Question in the pic, please explain your answer
Answers
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
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HELP PLEASE BE CORRECT
Answers
Answer:
12
Step-by-step explanation:
Scale factor of 4
CD = 3
3 · 4 = 12
Length of C'D' is 12 units
Answer:
12 units
Step-by-step explanation:
The original segment CD = 3 units
Scale factor is 4.
3 x 4 = 12
1567÷135
plz help 50 points
Answers
Answer:
11.60740741
Step-by-step explanation:
Answer:
11.6074074074
Step-by-step explanation:
which is larger
8/k^2+2 and k^2+2
Answers
Answer:
Step-by-step explanation:
d e e z n u t z
The table represents a linear relationship
X—2 0 4
Y-4 3 1
Which equation represents the table
Y=1/2x+5
y=-1/2x+3
Y=2x-3
Y=-4x+2
Answers
The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.
To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.
Given the table:
X: 2 0 4
Y: -4 3 1
We can plot these points on a graph and see that they form a straight line.
Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.
Based on the given options, we can now evaluate each equation to see which one represents the line:
Y = 1/2x + 5
When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.
Y = -1/2x + 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.
Y = 2x - 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.
Y = -4x + 2
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.
In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.
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Pleaseee help me with this!!! ASAP
Answers
Answer:
108° or Red
Step-by-step explanation:
This looks closest to a 108° angle.
108 - 7 = 101
101 ÷ 5 = 23
x = 23
Do the simple math for the rest of the angles...
Here is the math from where that leaves you...
127° (b) + 90° (d) + 136° (e) + 79° (a) + 108° (c) = 540°
P.S.
Rectangle answer must be 360° because 90° × 4 = 360°
Any additional vertices equals another 180° to the final number.
The mean absolute deviation of Mr. Zimmerman's class is 0.46. What does this mean?
Answers
Answer:
is a measure of the average absolute distance between each data value and the mean of a data set.
Graph f(x) = \xi.
Click on the graph until the graph of f(x) = \xi appears.
Answers
Answer:
The graph of IxI is:
y = x for values of x ≥ 0
y = -x for values of x ≤ 0
Then you will see a "V", with the arms pointing up and the vertex in the point (0, 0)
(Something like in the image, but with the arms pointing upside instead of downside)
The actual graph is:
select an expression that is equivalent to 2^4/8
Answers
Answer:
The answer is C
Step-by-step explanation:
c. 8√(2^4 )
given 2^(4/8) can be written as 2^(4×1/8)
eg: 2^(1/2) is √2 hence same rule we can apply here and since 2^(1/8) we can write as 8√2 and given 2^4
further knowledge: so if asked to expand more we can write it as 8√16 simplifying this further we get 2^(1/2) which is actually √2
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How much principal must be deposited to earn $744 simple interest in 3 years at an rate of 5.4%?
Answers
Answer:59$
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
Amount of interest =Principal * interest rate * time
(interest is .054 in decimal )
744 = Principal * .054 * 3 so Principal = 4592.59 dollars
on a larger map the coordinates for the location of another Washington DC landmark are eight and -10 in which quadrant of the map in this landmark located explain
Answers
The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.
To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.
Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.
In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.
The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.
The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.
The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.
Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.
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find the exact value of Sin A
Answers
Step-by-step explanation:
sin A = opposite/ Hypotenuse
Sin A = 5/7
Hello !
sin(A) = opposite/hypotenuse = 5/7
arcsin(5/7) ≈ 45,58°
sin(A) = 5/7
the angle A ≈ 45,58°
Find an equation for the line below
Answers
put some pictures
Answer:
Step-by-step explanation:
An island is 2 miles due south of its closest point along a straight shoreline. A visitor is staying in a cabin that is 7 miles west of that point. The visitor is planning to go from the cabin to the island. Suppose the visitor runs at a rate of 5 mph and swims at a rate of 3 mph. How far should the visitor run to minimize the time it takes to reach the island
Answers
Answer:
The visitor needs to run 5.5 miles before he starts swimming to minimize the time it takes to reach the island.
Step-by-step explanation:
The sketch of the setup described is drawn on the attached image to this question.
Let the distance the visitor has to run be x miles
The distance from that endpoint of running to the closest point on the shoreline to the island is then (7 - x) miles
Using Pythagoras theorem, we can then calculate the distance the visitor has to swim
Let that distance be y
y² = 2² + (7 - x)²
y² = 4 + 49 - 14x + x²
y² = x² - 14x + 53
y = √(x² - 14x + 53)
Speed = (distance/time)
Time = (distance/speed)
Running time = (running distance)/(running speed) = (x/5)
Swimming time = (swimming distance)/(swimming speed) = [√(x² - 14x + 53)]/3
Total time to reach the island
= Running time + Swimming time
T = (x/5) + [√(x² - 14x + 53)]/3
we now want to find the distance that the visitor will run to minimize the time to reach the island
At minimum value of T, (dT/dx) = 0
(dT/dx) = (1/5) + [(2x - 14)(x² - 14x + 53)⁻⁰•⁵]/6
multiplying through by 15
15(dT/dx) = 3 + 5[(x - 7)(x² - 14x + 53)⁻⁰•⁵]
So, at minimum value of T, (dT/dx) = 0
0 = 3 + 5[(x - 7)(x² - 14x + 53)⁻⁰•⁵]
-3[(x² - 14x + 53)⁰•⁵] = 5(x - 7)
-3[(x² - 14x + 53)⁰•⁵] = (5x - 35)
Squaring both sides
9(x² - 14x + 53) = (5x - 35)² = 25x² - 350x + 1225
9x² - 126x + 477 = 25x² - 350x + 1225
25x² - 350x + 1225 = 9x² - 126x + 477
16x² - 224x + 748 = 0
Solving this quadratic equation
x = 8.5 or x = 5.5 miles
Since the Total distance from the cabin to the closest shore point to the island is 7 miles, the only feasible answer is x = 5.5 miles.
Therefore, the visitor needs to run 5.5 miles before he starts swimming to minimize the time it takes to reach the island.
Hope this Helps!!!
Derrick and Janis are planting
150 strawberry plants.
The first day, Derrick plants 20% of
the strawberry plants. Janis plants
60% of the strawberry plants.
Eliezer
How many strawberry plants do Derrick and Janis plant on the first day?
Choose one option from each drop-down menu to answer the question.
On the first day, Derrick plants Choose... strawberry plants.
Janis plants Choose... strawberry plants.
Together, they plant a total of Choose... strawberry plants.
X
Answers
Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.
To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.
Derrick planted 20% of the 150 strawberry plants:
20% of 150 = (20/100) * 150 = 30 strawberry plants.
Janis planted 60% of the 150 strawberry plants:
60% of 150 = (60/100) * 150 = 90 strawberry plants.
Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.
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If a rectangle A has sides are three times the length of those rectangle B, how do the areas of the two rectangles compare?
Answers
Answer:
The area of A is nine times the area of B.
Step-by-step explanation:
If the probability that an event occurs is 0.5 , the probability that the event does not occur is
Answers
Answer:
0.5
Step-by-step explanation:
P(that an event occurs) = 0.5
P(that an event does not occur) = 1 - P(that an event occurs)
= 1 - 0.5
= 0.5
Answer:
It is also 0.5
Step-by-step explanation:
From independent events:
\({ \bf{p + q = 1}}\)
p is probability for an event to occur (success).
q is probability for an event not to occur (failure).
\({ \tt{0.5 + q = 1}} \\ { \tt{q = 1 - 0.5}} \\ { \tt{q = 0.5}}\)
Find the interest earned given the following:Amount needed: $14,500Time in years: 3 1/2Interest: 8%Compounded: quarterly
Answers
To find the interest on the given sum compounded quarterly:
We will use the formula to obtain A (The amount that the sum will yield) first
\(\begin{gathered} A=P(1+\frac{r}{100n})^{nt} \\ \text{where} \\ P=14,500 \\ r=8 \\ t=3.5 \\ n=4 \end{gathered}\)Thus
\(A=14500(1+\frac{8}{100\times4})^{4\times3.5}\)Hence,
\(A=\text{ \$19132.44}\)Thus, the interest will be
\(\begin{gathered} \text{Interest}=A-P \\ \text{Interest}=19132.44-14500 \\ \text{Interest}=\text{ \$4632.44} \end{gathered}\)Thus, the interest is $4632.44
Brand A has a box of 25 forks for 1.99 and Brand B has a box of 42 totals for 3.89. What is the unit price for each brand and what brand is a better buy based on unit price
Answers
Answer:
Brand A
Step-by-step explanation:
Brand A has a box of 25 forks for 1.99
Take the price per fork
1.99 /25 = .0796
.08 per fork
Brand B has a box of 42 totals for 3.89
3.89 / 42
.092319048
.09 per fork