The circle has an area of 28.26 ft².
It is assumed that the circle's radius is 3 feet.
The circle's area must be determined.
What is radius of a circle ?
A line segment from a circle's center to its perimeter is known as the radius.
As per the question ;
Radius of circle , r = 3 ft
Area of the circle is given by ;
A = πr²
A = π × 3²
A = 9π
or
A = 9 × 3.14
or
A = 28.26 ft²
Thus , the area of the circle will be 28.26 ft².
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Please help me in confused
Answer:
20\(c^{6}\)
Step-by-step explanation:
using the rule of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
given
(- 4c³)(- 5c³) ← remove parenthesis
= - 4 × c³ × - 5 × c³
= - 4 × - 5 × c³ × c³
= 20 × \(c^{(3+3)}\)
= 20\(c^{6}\)
Evaluate the expression 2m + 9p - 11 when m = 3 and p = 4.
a
31
b
78
c
41
d
107
Answer: A: 31
Step-by-step explanation:
2m+9p-11
(plug in m=3, p=4)
2(3)+ 9(4)-11
6+36-11
42-11
31
Line m has no y intercept, and it’s x intercept is(3,0). Line n has no x intercept, and it’s y intercept is (0,-4) the equation of line m is____ , and the equation of line n is ______
Answer:
x = 3y = -4Step-by-step explanation:
In order for a line to have no y-intercept, it must be parallel to the y-axis. Its equation will be of the form ...
x = constant.
If the x-intercept is (3, 0), then we must have constant = 3.
__
In order for a line to have no x-intercept, it must be parallel to the x-axis. Its equation will be of the form ...
y = constant.
If the y-intercept is (0, -4), then we must have constant = -4.
__
The equation of line m is x = 3.
The equation of line n is y = -4.
a. Find the slope of the line going through the points (-7, 7) and (3.-5).
Answer:
-1.2
Step-by-step explanation:
Convert the following expression into prefix-p notation (Scheme statement):
10 + (5 - 3) + 2 / 4
Answer:
12.5
Step-by-step explanation:
Evaluate the given function
Answer:
-4
Step-by-step explanation:
P(4)= 4^2 - (5*4)
= 16 - 20
= -4
The formula T=2pi sqrt(L/32) gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet. To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s?
The length of a pendulum that makes one full swing in 1.9 seconds is 3 feet.
As per the given data, the given formula is:
\($T=2 \pi \sqrt{\left(\frac{L}{32}\right)}\) gives the time it takes in seconds.
Where,
T is the time it takes for a pendulum to make one full swing back and forth (in seconds).
L is the length of the pendulum, in feet.
Here we need to find the length of a pendulum that makes one full swing in 1.9 seconds to the nearest foot.
Substitute the given parameters into the formula will give;
\($1.9=2 \pi \sqrt{\left(\frac{L}{32}\right)}\)
Now divide both sides by 2π.
\($ \frac{1.9}{2 \pi}=\sqrt{\left(\frac{L}{32}\right)} \\\)
\($ 0.3024=\sqrt{\left(\frac{L}{32}\right)}\)
Then taking square on both sides.
\($ (0.3024)^2=\frac{L}{32} \\\)
0.09144576 = \($\frac{L}{32}\)
Later multiply both sides by 32.
2.9262 = L
The approximate value of the length of a pendulum:
L ≈ 3
Therefore, the length of a pendulum is about 3 feet.
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a student skipped a step when he tried to convert 1020 seconds into hours and got the following incorrect result
1020seconds (1hours/60mins)=17hours
what conversion ratio did he skip in this multiple-step conversion
Answer:That student has forgot to convert it into minutes and then convert it to hours
Step-by-step explanation:
1020/7=17 minutes and
17/60=0.283hours
what is the area of each triangle 24 ft 20 ft
The area of triangle ABC is 249.36 sq ft while the area of ΔACD and ΔBCD is 124.68 sq ft
What is the area of a triangle?The area of a triangle can be calculated using the formula:
Area = (1/2) x base x height
where "base" is the length of the base of the triangle and "height" is the perpendicular distance from the base to the opposite vertex.
Lets find altitude with with Pythagoras formula:
\(\rm a^2 + b^2 = c^2\)
\(\rm a^2 + 12^2 = 24^2\)
\(\rm a^2 = 24^2 -12^2\)
\(\rm a^2 = 576 - 144\)
\(\rm a^2 = 432\)
a = √432
a =
a = 20.78
To find the area of a triangle, we use the formula A = 1/2 × base × height.
In this case, the base of the triangle is 24 ft and the height is 20.78 ft.
Therefore,
A = 1/2 × 24 ft × 20.78 ft
A = 249.36 sq ft
Hence, The area of each triangle is 249.36 square feet.
Now, Both tringles are 1/2 of the area as base = 12 = 1/2 × 24
ΔACD = 1/2 × 249.36
ΔACD = 124.68 sq ft
ΔBCD = 1/2 × 249.36
ΔBCD = 124.68 sq ft
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Complete question:
What is the area of each triangle Base = 24 ft 20 ft
Abby owns a square plot of land. She knows that the area of the plot is between 2200 and 2400 square meters. Which of the following is a possible value for the side length of the plot of land.
The possible value of the side length of the plot of land that Abby owns, which is between 2200 and 2400 square meters is A. 48 meters.
What is the length?The length is the quantitative measurement of a distance from one point to another position.
Length can also refer to the size of an object that has width or/and height.
Data and Calculations:The square of 2,200m² = 46.9 meters (√2,200)
The square of 2,400m² = 48.99 meters (√2,400)
The square of the median value of 2,200m² and 2,400m², which is 2,300m² is 48 meters approximateluy.
Thus, the possible value of the side length of the plot of land is A. 48 meters.
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Question Completion with Answer Options:A. 48 meters
B. 46 meters
C. 44 meters
D. 50 meters
ANSWER AND EXPLAIN I’LL MARK BRAINLIEST GIVING 26 POINTS
Answer:
Estimate (eye-ballin'): around (3, 3)
Calculation: (2.6, 3.2)
Step-by-step explanation:
Given:
4x + 3y = 20
y = 2x - 2
Sophia's strat is absolutely correct. She makes two equations into one. This is called "substitution":
- Insert y of 2nd equation as y in 1st equation:
4x + 3(2x - 2) = 20
**Remember to multiply the entire thing by 3**
4x + 6x - 6 = 20
**Solve for x**
10x - 6 = 20
10x = 26
x = 2.6
Now that we have x, just plug it into any equation to find y (hint 2nd is easier):
y = 2(2.6) - 2
y = 3.2
COORDS: (2.6, 3.2)
The graph shows the distribution of the lengths (in seconds) of videos on a popular video-streaming site. The distribution is approximately Normal, with a mean of 264 seconds and a standard deviation of 75 seconds.
A graph titled Streaming Videos has length (seconds) on the x-axis, going from negative 36 to 564. The highest point of the curve is at 264.
What percentage of videos on the streaming site are between 264 and 489 seconds?
0.15%
49.85%
95%
99.7%
According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.
To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.
First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:
z1 = (264 - 264) / 75 = 0
z2 = (489 - 264) / 75 = 3
Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .
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Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.
Given that, a truck needs 7 gallons of fuel to travel 56 miles.
The truck travel 48 miles with 6 gallons of fuel.
Here, the proportion is
7:56::6:48
We know that, the proportion is product of extremes = product of means
7×48 = 56×6
336 = 336
Therefore, the correct answer is option B.
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Find the value of x. You may assume triangle ABC is similar to triangle STU.
(click on the photo to make it better quality) PLEASE HELP!!!
By applying the concept of corresponding angles in similar triangles, we were able to establish the value of x as 25 in the given scenario.
In the given problem, we are provided with information about the angles in two similar triangles: triangle ABC and triangle STU. It is stated that angle UTS in triangle STU is 100 degrees, and since corresponding angles of similar triangles are congruent, we can conclude that angle STU is also 100 degrees.
Next, we examine angle BAC in triangle ABC, which is given as 4x. Using the same logic, we know that angle BAC is also congruent to angle STU. Therefore, we can equate the two angles:
angle BAC = angle STU
4x = 100
To find the value of x, we divide both sides of the equation by 4:
x = 100/4
x = 25
Hence, we determine that x is equal to 25. This method allows us to leverage the known information about one triangle to infer the measurements of corresponding angles in the other similar triangle.
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A company produced in the first quarter 6,905 pieces in the second quarter the same company produced 795 pieces more than in the first quarter under these conditions how many pieces did the company produce in the first semester?
Answer: 14,605 pieces.
Step-by-step explanation:
In the second quarter, the company produced 795 pieces more than in the first quarter.
So, the total pieces produced in the second quarter can be calculated as:
6905 + 795 = 7700
The total pieces produced in the first semester (two quarters) can be calculated as:
6905 + 7700 = 14,605
Therefore, the company produced 14,605 pieces in the first semester.
The number of pieces the company produced in the first semester was 14,605 pieces.
How many?The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.
In the first quarter, the company produced 6,905 pieces, as indicated in the question.
Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:
6,905 + 795 = 7,700 pieces.
To know the company's total production in the first semester, just add the productions of the two quarters:
6,905 + 7,700 = 14,605 pieces
Which criterion, if any, could prove the triangles are congruent?
Answer: None
Step-by-step explanation:
There is only one pair of angles and one pair of sides, which is not sufficient to prove triangle congruence.
What is 576 times 36?
a formula in the form y=mx+b models the cost, y, of four-year college x years after 2010. would you expect m to be positive, negative, or zero? explai your answer
we would expect m to be positive.
In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.
Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.
If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.
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What is the domain of the function graphed below
Answer: Option 1
Step-by-step explanation:
The domain is the set of all x values.
Need help with this please!! :)
what is 15 percent of 24
Answer:
3.6
Step-by-step explanation:
15 divide by 100 x 24
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards. Find the average change in field position on each run. Enter the average change as a simplified mixed number.
The average change as a simplified mixed number would be,
⇒ 1 3/4
A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.
Now, The average change as a simplified mixed number would be,
⇒ (12 1/4) / 7
⇒ (49/4) / 7
⇒ (49 / 4×7)
⇒ 7/4
⇒ 1 3/4
Therefore, The average change is,
⇒ 1 3/4
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A manufacturer has 576 square inches of material available to construct the 6 faces of a carton, which will be in the shape of a rectangular prism. To maximize the volume, the carton will have dimensions such that the length and width are each twice the height.
To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).
What is the dimension required to maximize the volume of the box?Assuming the height of the rectangular prism is h inches.
According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.
The total surface area of the rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
Substituting the values, we have:
576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)
576 = 8h² + 4h² + 4h²
576 = 16h² + 4h²
576 = 20²
h² = 576/20
h² = 28.8
h = √28.8
h = 5.37
The height of the prism is approximately 5.37 inches.
The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.
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Translate this sentence into an equation.
The product of 3 and Vidya's height is 54.
Use the variable v to represent Vidya's height.
Th equation is \(3v=54\\\).
Given,
product of 3 and vidya's height is 54
v is represented as vidya's height.
Representation of equation is as follows:
The product of 3 and vidya's height can be written as \(3*v=3v\)
and their product is 54,
\(3v=54\).
Thus, the equation is \(3v=54\\\).
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Pls pls pls pls help pls
Answer:
only 5
Step-by-step explanation:
BRAINLY I have two simple trig questions can anyone help me out thank you +100 points
San Diego is one of the largest cities in the United States. In 2012, the population of San Diego was 1,309,000. By 2016, the population had grown to 1,375,000, and reached 1,386,000 in 2020.
(a) What was the growth rate (k) from 2012 to 2016?
(b) What was the growth rate (k) from 2016 to 2020?
(c) Compare the growth rate from each period.
(d) If the current growth rate continues, when will the population of San Diego reach 1.5 million?
Answer:
Lo siento
Step-by-step explanation:
What is the value of x?
(5x - 5)°
8x
(6x - 5)
The value of x in the triangle is 10
What is sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.
The sum of the three angles in a triangle is 180°.
Therefore
(5x - 5)° + 8x + (6x - 5) =180
5x-5+8x+6x-5 = 180
collect like terms
5x+8x+6x-5-5 = 180
19x = 180+10
19x = 190
divide both sides by 19
x = 190/19
x= 10
therefore the value of x is 10
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you want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability that a randomly chosen code starts with M and ends with E?
A. 0.01
B. 0.02
C. 0.05
D. 0.10
Answer:
its C. 0.05 #edmentumgang
Step-by-step explanation:
Answer:
Option C is the correct anwer for plato
Step-by-step explanation:
C. 0.05
a number n is less than or equal to -7 or greater than 12
Answer:
Step-by-step explanation: