Find the exact length of the third side .

Answer:

50.27 cm

Step-by-step explanation:

We Know

The area of the circle = r² · π

Area of circle = 64π cm²

r² · π = 64π

r² = 64

r = 8 cm

Circumference of circle = 2 · r · π

We Take

2 · 8 · (3.1415926) ≈ 50.27 cm

So, the circumference of the circle is 50.27 cm.

Answer: C=16π cm or 50.24 cm

Step-by-step explanation:

The formula for area and circumference are similar with slight differences.

\(C=2\pi r\)

\(A=\pi r^2\)

Notice that circumference and area both have \(\pi\) and radius.

\(64\pi=\pi r^2\)        [divide both sides by \(\pi\)]

\(64=r^2\)             [square root both sides]

\(r=8\)

Now that we have radius, we can plug that into the circumference formula to find the circumference.

\(C=2\pi r\)          [plug in radius]

\(C=2\pi 8\)          [combine like terms]

\(C=16\pi\)

The circumference Is C=16π cm. We can round π to 3.14.

The other way to write the answer is 50.24 cm.

Answer:

The probability that two independent events will both occur can be calculated by multiplying the probabilities of the individual events. If event A has probability p(A) and event B has probability p(B), then the probability that both events A and B occur is given by:

p(A and B) = p(A) * p(B)

This relationship holds because the occurrence of event A does not affect the occurrence of event B, and vice versa. Hence, the two events are considered to be independent.

For example, if event A has a probability of 0.6 of occurring and event B has a probability of 0.7 of occurring, then the probability that both events will occur is 0.6 * 0.7 = 0.42.

To investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a linear regression t-test.

1. The researcher collects data on hand length and 100-meter freestyle completion time for twenty randomly selected swimmers.
2. Calculate the correlation coefficient (r) to measure the strength and direction of the relationship between hand length and freestyle completion time.
3. Perform a linear regression analysis to obtain the slope (b) and the y-intercept (a) of the best-fit line.
4. Conduct a linear regression t-test to determine if the slope (b) is significantly different from zero at a 5 percent level of significance.
5. If the t-test results in a p-value less than 0.05 (5 percent level of significance), there is convincing evidence that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle.

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The height of Cylinder R is 20cm

The formula for calculating the volume of a cylinder is ;

V = πr²h

The parameters of the formula are;

Now, substitute the values, we get;

3.14 × 10² × 5 = 3.14 × 5² × h

Find the square values, we have;

3.14 × 100 × 5 = 3.14 × 25h

Multiply the values, we get;

1570 = 78.5h

Divide both sides by the coefficient

h = 20 cm

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Answer:

A

Step-by-step explanation:

Just did it

Answer:

c

Step-by-step explanation:

\(v + 8 < 3\)

Subtract sides -8

\(v + 8 - 8 < 3 - 8\)

\(v < - 5\)

_________________________________

\(8v < - 40\)

Divided sides by 8

\( \frac{8}{8}v < \frac{ - 40}{8} \\ \)

\(v < - 5\)

_________________________________

Done.... ♥️♥️♥️♥️♥️

The solution of the given inequality v +8 <3 or 8v <-40 is v < -5.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal.

Given the inequality,

v +8 < 3

Adding -8 on both sides

v + 8 - 8 < 3 - 8

v < -5

Or,

8v <-40

Divide 8 on both side

v < -5

Hence "The solution of the given inequality v +8 <3 or 8v <-40 is v < -5".

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Answer:

Answer is A -  Angles that are congruent are complementary to the same angle.

Step-by-step explanation:

trust the process

Answer: the answer is

Step-by-step explanation: its simple bro just count the numbers inbetween 0 and

The two values of x in the equation are x = -8 and x = 8

The equation is given as

x² - 14 = 50

Add 14 to both sides of the equation

So, we have the following equation

x² - 14 + 14 = 50 + 14

Evaluate the like terms

So, we have the following equation

x² = 64

Take the square roots of both sides

√x² = ±√64

Evaluate the square roots

So, we have the following equation

x = ±8

Split

x = -8 and x = 8

Hence, the values are x = -8 and x = 8

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Answer:

72

The angles in a triangle adds to 180 so 180-62-44=72

Please thank and rate

and possibly brainlest

Have a great day

Answer:

90 I am guessing. if it's like a square or rectangle

Answer:

none

Step-by-step explanation:

if you try to get n to one side they would cancel each other out so there is no solution

Answer:

Step-by-step explanation:

-5n=3-5n

+3=+3-5n

-2n=6

/2=/2

n=3

Answer:

my question was the same but nobody answered

Answer:

my question was also same

Answer:

x+2y+z+80=360°

Step-by-step explanation:

the sum of the interior angles in a quadrilateral is 360°, so the answer is: x+2y+z+80=360°

Answer:

Option 4 - x+2y+z+80=360degrees is the correct answer.

Step-by-step explanation:

As given in the figure, it is a quadrilateral, and as all the angles in this quadrilateral are interior angles, the sum of the interior angles of a quadrilateral will be 360 degrees.

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Answer:

Step-by-step explanation:

If they want the average for four months to be 55 minutes, this means that the total of the four months = 55 x 4

Total of four months = 220 minutes

They already told us that the three previous months she used her cellphone for 43 minutes, 62 minutes and 57 minutes.

All you have to do now is subtract everything from the total of the four months.

4th month = 220 - 43 - 62 - 57

= ? Minutes

The height of the flagpole in this problem is given as follows:

7.19 meters.

The height of the flagpole in this problem is obtained using similar triangles, as shown by the image given at the end of the answer.

These similar triangles are used as they have proportional side lengths, and thus a proportional equation is solved to find the height of the flagpole.

The equivalent sides of the similar triangles from the image are given as follows:

Hence the following proportional relationship is established:

1.35/h = 1.85/9.85

The height h of the flagpole is obtained applying cross multiplication as follows:

1.85h = 1.35 x 9.85

h = 1.35 x 9.85/1.85

h = 7.19 meters.

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Answer:

(a) The common difference is 4

(b) The 25th term is 108

Step-by-step explanation:

Given

\(T_7 = 36\)

\(T_{14} = 64\)

Solving (a): The common difference

The nth term of an AP is:

\(T_n = a + (n -1)d\)

For the 7th term, we have:

\(36 = a + (7 -1)d\)

\(36 = a + 6d\)

For the 14th term, we have:

\(64 =a + (14 -1)d\)

\(64 =a + 13d\)

Subtract both equations

\(64 - 36 = a - a +13d-6d\)

\(28 = 7d\)

Divide by 7

\(d = 4\)

Solving (b): The 25th term

First, we calculate the first term (a)

The 7th term of the progression is:

\(36 = a + 6d\)

Substitute \(d = 4\)

\(36 = a + 6 * 4\)

\(36 = a + 24\)

Subtract 24

\(a = 36 -24\)

\(a = 12\)

The 25th term is:

\(T_{25} = a + (25 - 1)d\)

\(T_{25} = 12 + (25 - 1)*4\)

\(T_{25} = 12 + 24*4\)

\(T_{25} = 108\)

The planes −3x -19y + 7z + 5 = 0 and 3x + y + 4z − 6 = 0  are neither parallel nor orthogonal, so the angle of intersection is 105.8°. So, the correct option is e).

To find the angle of intersection, we can first find the normal vectors of each plane, which are the coefficients of x, y, and z in their respective equations. For the first plane, the normal vector is (-3, -19, 7), and for the second plane, the normal vector is (3, 1, 4).

The angle between two planes can be found using the dot product of their normal vectors and the formula:

cosα = (n1 · n2) / (|n1| |n2|)

where n1 and n2 are the normal vectors of the planes.

Using this formula, we have:

\(cos\alpha = (-3)(3) + (-19)(1) + (7)(4) / \sqrt{((-3)^2 + (-19)^2 + 7^2)} \sqrt{(3^2 + 1^2 + 4^2)\)

\(cos\alpha = -14 / \sqrt{579} \sqrt{26}\)

\(cos\alpha\) ≈ -0.294

Therefore, α ≈ 105.8°.

So the correct answer is e) None of the above.

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The table shows that there is no correlation between market size and average winning percentage. Therefore, option (e) is the appropriate interpretation based on the given information.

In the context of statistical analysis, when the statement says "statistically insignificant," it means that the relationship between the variables (market size and average winning percentage) is not statistically significant. This means that any observed relationship or difference between the variables is likely due to random chance or sampling variability rather than a true relationship. The p-value, a measure of statistical significance, would typically be greater than the chosen significance level (e.g., 0.05) in this case.

The lack of statistical significance suggests that market size does not have a meaningful impact on the average winning percentage, and any observed negative relationship is likely due to random variation or other factors not accounted for in the analysis. It is important to note that statistical insignificance does not necessarily imply the absence of any relationship, but rather that any relationship observed is not strong enough to be considered statistically significant.

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You cannot find f * g because the functions have different domains

The functions are given as:

f = {(-1, 7), (1, 3), (3, 4), (6, 8), (7, 0)}

g = {(0, 10), (2, "-6)," (4, 7), (8, "-1)}

In the above function definitions. we have

Domain of f(x): -1, 1, 3, 6, 7

Domain of g(x): 0, 2, 4, 8

See that both functions have different domains

This means that you cannot find f * g because the functions have different domains

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Answer:

y+0.5x

Step-by-step explanation:

Just took the test. Got 100%.

Answer:

A. y = 0.5x

Step-by-step explanation:

Answer:

Given:

To construct the Venn diagram:

As 2 students study neither subject, place the number 2 in the box outside the circles.

Calculate the number of students who study both subjects (central overlapping section):

Physics students + Chemistry students + neither students - Total students

= 20 + 18 + 2 - 35 = 5

Place the number 5 in the central overlapping section.

⇒ Left section = Physics students - both subjects

                        = 20 - 5

                        = 15

⇒ Right section = Chemistry students - both students

                          = 18 - 5

                          = 13

i) See attachment

ii) Physics and Chemistry = 5 students

iii) Physics only = 15 students

iv) One subject only = 15 + 13 = 28 students

Answer:

  407/500

Step-by-step explanation:

You want 81.4% represented as a fraction.

The given value can be converted to a fraction by making use of the fact that "%" means "/100".

  81.4% = 81.4/100

  = 814/1000

  = 407/500 . . . . . . . . . remove a common factor of 2

The simplified fraction whose value is 81.4% is 407/500.

<95141404393>

The best measurement to describe the distance between Phenix City and Huntsville would depend on whether the context requires a straight-line distance (Euclidean) or the actual travel distance (geodesic) between the two cities.

The distance between two locations can be measured using different methods, depending on the context and purpose of the measurement.

If we consider the distance in a straight line, disregarding any obstacles or terrain features, the Euclidean distance would be suitable. The Euclidean distance uses a straight line between two points and is calculated using the Pythagorean theorem in a two-dimensional space. However, this method does not take into account the actual road network or geographical obstacles that may affect travel distance.

On the other hand, if we consider the actual distance traveled along the road network or the curved surface of the Earth, the geodesic distance would be more appropriate. The geodesic distance measures the shortest path between two points on a curved surface, such as the Earth, accounting for its curvature.

This method takes into consideration the actual distance traveled along roads or the Earth's surface, providing a more accurate representation of the distance between two locations.

Therefore, the best measurement to describe the distance between Phenix City and Huntsville would depend on whether the context requires a straight-line distance (Euclidean) or the actual travel distance (geodesic) between the two cities.

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Answer:

n = {-1, 7}

Step-by-step explanation:

8n² - 56 = 48n

Subtract 48n from both sides

8n² - 48n - 56 = 0

Divide both sides by 8

n² - 6n - 7 = 0

Factor

alternately use the quadratic equation or complete the square

(n - 7)(n + 1) = 0

n = {-1, 7}

The minimum number of supports required is 7.

To determine the minimum number of supports required for the twenty-four feet (six 4-ft sections) of track lighting to be installed in a continuous row in a retail store, follow these steps:

1. Determine the total length of the track lighting: 6 sections * 4 feet per section = 24 feet.

2. Consider that a support is needed at the beginning and end of the track.

3. Assess the spacing between supports. For instance, let's assume supports can be placed every 4 feet.

4. Calculate the number of supports in between the ends: (24 feet - 4 feet) / 4 feet = 5 supports.

5. Add the supports at the beginning and end: 5 supports + 2 supports = 7 supports.

The minimum number of supports required is 7.

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The value of the dependent variable is 50.

What is linear function?

A linear function is a mathematical function of the form:

f(x) = mx + b

where m is the slope of the line and b is the y-intercept, which is the point where the line intersects the y-axis. The slope represents the rate of change of the function, or how much the function changes for a unit change in the independent variable x. The y-intercept represents the value of the dependent variable when the independent variable is equal to zero. Linear functions are characterized by a straight line when graphed on a coordinate plane.

To find the equation of the linear function, we can use the slope-intercept form of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept. We know that the slope is 5, and the function passes through the point (-7, 5). We can use this information to solve for the y-intercept:

5 = 5(-7) + b

b = 40

Therefore, the equation of the linear function is:

y = 5x + 40

To find the value of the dependent variable when x = 2, we can substitute x = 2 into the equation and solve for y:

y = 5(2) + 40

y = 10 + 40

y = 50

Therefore, the value of the dependent variable when the independent variable is equal to 2 is 50.

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