a square figure with side 4 ft has a semicircle with radius 2ft at the top what is the perimeter of the figure ? what formula should be used ?​

A box plot is best suited to find median rather than histogram.

what is histogram?

A histogram may be a show of applied math data that uses rectangles to point out the frequency of information things in sequent numerical intervals of equal size. within the commonest type of bar chart, the experimental variable is premeditated on the horizontal axis and also the variable is premeditated on the vertical axis.

Main body:

Histogram display can be used to find how many pumpkins had masses below 6.0.

Box plot display can be used to find that the median mass was 8 kilograms

Histogram

Box plot

Hence box plot is best suited.

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Answer:

Step-by-step explanation:

Answer: we could be th superheros so we are superheros

Step-by-step explanation:

Answer:

Step-by-step explanation:

SInce the distance between the vertex and the focus is the same as the distance from the vertex to the directrix, the distance from the directrix to the focus is  22‾√.

 Since the shortest path from the focus to the directrix goes through the vertex, the distance from the focus to the directrix is the sum of the distance from the focus to the vertex and the distance of the vertex to the directrix, namely  22‾√+22‾√=42‾√

Simplifying the linear equation 4a + 7 when a= 1/2 is 9

Linear equation is an equation in whi8ch the highest power of the variable is 1

From the linear equation, 4a + 7 when a = 1/2

By substituting for a in the equation

=4(1/2) + 7

By expanding the bracket

=(4x1/2) + 7

=4/2+7

=2+7

=9

Hence, The final answer to the linear equation 4a + 7 when a= 1/2 = 9

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Answer:

3.5*3=10.5 is the answer of the

Answer: 2d³+11d²+19d+10

Step-by-step explanation:

Use the FOIl method to simplify this

-------------------------------------------------------------------

 (5+2d)(2+3d+d²)

=10+15d+5d²+4d+6d²+2d³ ⇔ Expand using FOIL

=2d³+(5d²+6d²)+(4d+15d)+10 ⇔ Put like terms together

=2d³+11d²+19d+10 ⇔ Combine like terms

Hope this helps!! :)

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Answer: 2d³+11d²+19d+10

Step-by-step explanation: first we rearrange terms (5+2d)(2+3d+d²) into (2d + 5)(2 + 3d + d^2) then we do Rearrange terms again and then we Distribute and combine like terms and get our answer.

Answer:

See below

Step-by-step explanation:

The factor of the polynomial f(x) graphed on the coordinate plane is

(x - 1).

What is factor of the polynomial?

A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.

A polynomial can be factored by expressing it as the product of two or more components; this is somewhat the opposite of multiplying.

From the given graph we can see that, graph crosses x - axis at points

x = 1 and x = 8.

That means x = 1, 8 are the zero of the polynomial.

Since, if x = a is a zero of the polynomial, then (x - a) is the factor of the polynomial.

As x = 1, 8 are zero of the polynomial so (x - 1) and (x - 8) are the factors of the polynomial.

Hence, from the given options (x - 1) is factor of the polynomial.

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In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

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The line which passes through (-4,2) and (-5,0) has a slope of 2.

Let,

\((x_{1},y_{1})\) = (-4,2)

\((x_{2},y_{2})\) = (-5,0)

If the points are equal to each other, their x-coordinates are equal to each other:

\(x_{1}\)=-4

\(x_{2}\)=-5

If the points are equal to each other, their y-coordinates are equal to each other:

\(y_{1}\)=2

\(y_{2}\)=0

The slope, m is the steepness of a line and it is measured as the ratio of the change in vertical distance, rise over the change in horizontal distance, run.

The slope of the line, m:

m = (\(y_{2}\)-\(y_{1}\))/(\(x_{2}\)-\(x_{1}\))

m=(0-2)/(-5-(-4))

m=(-2)/(-1)

m=2

The slope of the line for the two points is 2.

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Answer:

1) 54+2x=5x−6−18x Distributive Property

2) 60=−15x Division Property of Equality

3) −4=x Division Property of Equality

Explanation:

1.) This answer is Distributive Property because the parenthesis in the original equation were removed through the process of distributing.

3(–2 – 6x) was distributed by multiplying 3 • –2 and 3 • –6x to get –6 – 18x

2.) This answer is Division Property of Equality because for all real numbers x, y, and z, if x = y and z ≠ 0, then x/z = y/z. This is true in this equation because of 60/–15 = −15x/–15.

3.) Division is used to get the value of x, which is –4.

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Using the conversion factor, we know that 30 miles are approximately 48 km.

So, 30 miles is how many kilometers:

Then, 5 miles:

Similarly 30 miles:

Rounding off: 48 km approximately

Therefore, using the conversion factor, we know that 30 miles are approximately 48 km.

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The set A that satisfies the given conditions is A = {1, 4}.Given the sets C = {0, 1, 2, 4} and B = {1, 3, 4, 5}, we need to determine the set A such that C - A = {0, 2} and B - A = {3}.

To find the set A, we need to determine which elements are present in C but not in A, as well as which elements are present in B but not in A.

From C - A = {0, 2}, we can deduce that A must contain the elements 1 and 4 because 0 and 2 are not present in C. Therefore, A = {1, 4}.

Similarly, from B - A = {3}, we can deduce that A must not contain the element 3. Therefore, A = {1, 4}.

Thus, the set A that satisfies the given conditions is A = {1, 4}.

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Answer: n = 35/71

Step-by-step explanation:

35 - 2n = 69n

We can add 2n to both sides:

35 = 71n

We can divide both sides by 71:

n = 35/71

Answer:

You can conclude that the line segments BA and AC are perpendicular to each other.

Step-by-step explanation:

That is because in this case, the triangle presented would be a right triangle. In right triangles, the orthocenter is the vertex of the triangle where two of the segments intersect perpendicularly, forming a 90 degree angle. As the orthocenter is where the altitudes intersect (altitudes are 90 degrees), we are able to conclude that BA and AC are perpendicular to each other.

Answer:

CE

AE

segment addition postulate

Given: ABC is a triangle.

To prove: BC + AC > BA

Proof: In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to CE and AE is the shortest distance from A to CE because of the shortest distance theorem.

Therefore,  and .

Now, add the inequalities, we get

.

Then,  because Segment addition postulate (states that given 2 points E and F, a third point D lies on the line segment EF if and only if the distances between the points satisfy the equation ED + DF = EF)

Therefore,  by substitution.

Step-by-step explanation:

Answer:

P(Red) = \(\frac{12}{50}\) = \(\frac{6}{25}\)

P(not green)

= 1 - \(\frac{8}{50}\)

= \(\frac{21}{25}\)

P(Blue or yellow)

= P(Blue) + P(Yellow)

= \(\frac{7}{50}\) + \(\frac{9}{50}\)

= \(\frac{8}{25}\)

Answer:

279 feet

Step-by-step explanation:

To find x, we solve using the Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = 64°

Length of the shadow = Adjacent = 136 feet

Height of the building = Opposite = h

Hence,

tan 64 = h/136 feet

Cross Multiply

h = tan 64 × 136 feet

h = 278.84132245 feet

Approximately, h to the nearest foot ≈ 279 feet

Therefore, the height of the building = 279 feet

Answer:

  277 cm^2

Step-by-step explanation:

Two of the triangular faces will have areas of ...

  A = 1/2bh = (1/2)(8 cm)(11 cm) = 44 cm^2

and the other two will have areas of ...

  A = 1/2bh = (1/2)(9 cm)(13 cm) = 58.5 cm^2

The base will have an area of ...

  A = LW = (9 cm)(8 cm) = 72 cm^2

So, the total area will be ...

  2(44 cm^2) +2(58.5 cm^2) +72 cm^2 = 277 cm^2

_____

Comment on the problem

You could not actually build this pyramid. The height of the peak above the 8-cm edges must be ...

  √(11^2 -(4.5)^2) = 10.04 cm

The height of the peak above the 9-cm edges must be ...

  √(13^2 -4^2) = 12.37 cm.

The peak cannot be in two places at once. This geometry is impossible.

Answer:

-1.25

Step-by-step explanation:

The change in position for x is -5, the change in position for y is 4, -5/4 = -1.25

The slope of the line passing through the given points (-1, -11) and (-6, -7) is equal to \(\frac{-4}{5}\).

Given the following points:

To find the slope of the line passing through the given points (-1, -11) and (-6, -7):

The slope of a line refers to the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is given by the formula;

\(Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}\)

Substituting the given points into the formula, we have;

\(Slope. \;m = \frac{-7 - [-11]}{-6 - [-1]}\\\\Slope. \;m = \frac{-7\; + \;11}{-6+1}\\\\Slope. \;m = \frac{4}{-5}\)

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Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

Answer:

The answer is 24 ( your welcome)

Step-by-step explanation:

a squared + b squared= c squared

c squared/ a squared= b squared

The experiment that would best test the hypothesis depends on the nature of the hypothesis itself. However find other people born in the same week and ask them what their favorite type of movie is, would likely be the most suitable (option c).

This option involves gathering data from individuals who share the same birth week. By asking them about their favorite type of movie, it allows for a direct comparison and analysis of movie preferences within a specific group. This experiment design aims to investigate if there is a correlation or similarity in movie preferences among individuals born in the same week.

Option a. Asking your friends if they also like the same type of music that you like is more of a casual survey and may not provide robust evidence to test the hypothesis, as it relies on a small, potentially biased sample size.

Option b. Interviewing all of your friends and finding out if the ones born in other weeks also like the same types of movies that you like could provide some insights, but it lacks a comparison group and may not address the specific hypothesis being tested.

Option d. Finding other people born in the same week and telling them about your favorite movie and asking if they also liked it does not directly test the hypothesis about movie preferences and birth week correlation.

Therefore, option c. finding other people born in the same week and asking them about their favorite type of movie would likely provide the most relevant data to test the hypothesis.

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The formula for the lateral surface area of a cylinder is 2πrh, where r is the radius and h is the height. Plugging in the given values, we get:

Lateral surface area = 2π(3)(12) = 72π
Rounded to the nearest whole number, the lateral surface area of the cylinder is 226.

To find the lateral surface area of a cylinder, you can use the formula:

Lateral Surface Area (LSA) = 2 × π × radius × height

Given that the height of the cylinder is 12 inches and the radius is 3 inches, you can plug these values into the formula:

LSA = 2 × π × 3 × 12

LSA = 6 × π × 12

LSA ≈ 6 × 3.14 × 12

LSA ≈ 226.08 square inches

So, the lateral surface area of the cylinder is closest to 226.08 square inches.

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Answer:

B . 72 you have to skip count by 12

C . 18 because 54 divide by 3 is 18 because they frame 3 houses in one week

Sorry I tried to do the rest but got confused I hope this helps u

Step-by-step explanation:

In summary, when repeated samples of size n are taken from a normal population with an unknown variance, the statistic t follows the t-distribution with n-1 degrees of freedom.

If repeated samples of size n are taken from a normal population with an unknown variance, then the statistic t follows the t distribution with n-1 degrees of freedom. When a sample of size n is taken from a normal population with a known variance and mean, the sample mean follows a normal distribution with a mean of μ and a variance of σ2/n. This distribution is known as the sampling distribution of the mean.

However, when the variance is unknown, the sampling distribution of the mean can no longer be calculated using the normal distribution. In this scenario, the sample mean is calculated using a t-distribution instead of a standard normal distribution.The t-distribution is similar to the standard normal distribution. However, it is more spread out and flatter than the standard normal distribution. As a result, the t-distribution has thicker tails than the standard normal distribution, which makes it more suitable for analyzing small samples of data.

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The expression for the total number of cans of food would be: 9s

A variable is a symbol or letter that denotes a possible range of values or quantities. It is used to express relationships between numbers and to solve equations and problems, and is typically represented by a letter like x, y, or z.

A variable's value can be determined by its context of use or by resolving an inequality or equation that it appears in. Variables are frequently used in algebra to represent unknowns or to simplify challenging formulas.

Let's use the variable "s" to represent the number of students participating in the food drive.

Then, the expression for total number of cans of food would be: 9s

This is because each student is committing to bringing 9 cans of food, so if there are "s" students participating, then the total number of cans of food would be 9 times the number of students (9s).

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