a lawnmower designer wants to build a lawn mower that measures 3 ft in height to feet in width and 5 feet in length he needs to construct a three dimensional scale model of the lawn mower which measurements are appropriate for the scale model?​

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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The area of the composite figure is equal to 278 square inches

The composite figure can be observed to be made up of two triangles, a rectangle and a parallelogram, so we shall calculate for the area and sum the results to get the total area of the composite figure as follows:

area of top triangle = 1/2 × 8 in × 11 in = 44 in²

area of the side triangle = 1/2 × 9 in × 4 in = 36 in²

area of the rectangle = 11 in × 9 in = 99 in²

area of the parallelogram = 11 in × 9 in = 99 in²

total area of the composite figure = 44 in² + 36 in² + 99 in² + 99 in²

total area of the composite figure = 278 in²

Therefore, the area of the composite figure is equal to 278 square inches

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Answer:

Step-by-step explanation:

80.000

To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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Answer:

Poop

Step-by-step explanation:

Answer:

G is 37

C is 143

F is 37

Step-by-step explanation:

G is 37 because of a rule called complementary angles. They are two angles that equal to 90 degrees! As shown in the angle right next to it, there is a small square that represents 90 degrees, so that means 53 + g would = 90 degrees as well, making g 37.

C is 143 because of a rule called supplementary angles. Supplementary angles are angles on a line that equal to 180 degrees. No matter how many angles are on a straight line, they will all equal to 180. So since I found out g is 37, I just used one of the lines and did 180-37 = 143.

F is 37, and you could find it in two ways. You can use supplementary angles with the angle of c you just found, or you can just use a rule called vertical angles. It is a rule that says any opposite angles from each other are equal. The opposite angle of F would be G. Since G is 37, F would be 37 as well. Definitely look up these terms if I am confusing them for you!! I hope I helped!!

11183333.3333

Step-by-step explanation:

6.71x100000000=671000000

÷

60= 11183333.3333

Answer:

2.25 lbs

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

9/2 = 4.5

4.5/2 = 2.25

Answer:

14.2% students

Step-by-step explanation:

279 / 1960 = 0.142

0.142 x 100% = 14.2 %

Answer:

= -2

-7(5+3)+216/4

-7(8)+216/4

-56+54

= -2

Answer:1/2

Step-by-step explanation:

Edg2021

Answer:

1/2

Step-by-step explanation:

im smart UwU

Answer:

1/3

Step-by-step explanation:

We have (x₁, y₁) = (-2.5, 0.5) and (x₂, y₂) = (2, 2). The formula for slope is

(y₂ - y₁) / (x₂ - x₁). When we plug these values in we get (2 - 0.5) / (2 - (-2.5)) =

1.5 / 4.5 = 1 / 3. Hope this helps!

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Answer:

n= (z)22E2

n=10× 99%÷ 0.07

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

It will take 15.03 years for Bentley's money to triple.

For Bentley:

We have

Principal (P) = $670

Interest rate (r) = 6 7/8% = 0.06875 (compounded quarterly)

Time (t) = unknown

Amount after t years (A) = \(P(1 + r/4)^{4t}\)

For Camden:

We have

Principal (P) = $670

Interest rate (r) = 7 3/8% = 0.07375 (compounded annually)

Time (t) = unknown

Amount after t years (A) = \(P(1 + r)^t\)

We have to find t such that 3P_Bentley = Camden.

\(2010 = 2010(1 + r/4)^{4t} / (1 + r)^t\)

Simplifying, we get:

\((1 + r/4)^{4t} / (1 + r)^t = 1/3\)

Taking natural logarithm:

4t ln(1 + r/4) - t ln(1 + r) = ln(1/3)

4 ln(1 + r/4) - ln(1 + r) = ln(1/3) / t

t = (4 ln(3.88356) - 4 ln(16)) / ln(3)

Solving for t, we get:

t = 15.034752564

t = 15.03 years.

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The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

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Answer:

we cant see the graph ... post again so we can help

We get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.

An equation is a combination of two expressions connected by an equal sign.

We are given an equation:

x / 5 = 7 / 3

We need to find the value of x.

Multiply both sides by 5

x / 5  × 5 = 7 / 3 × 5

x = 35 / 3

Now, we will divide 35 by 3 and round off the result to two decimal places:

x = 11.67

Therefore, we get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.

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None of the graphs represents absolute value |x| graphs however the second graph at the top is a graph of y = x/2

Each absolute value graph will result in a "V" shape.

It is divided into two parts: a negative slope and a positive slope.

The vertex is the location where they meet. It is possible to fold an absolute value graph in half along its line of symmetry.

The function y = |x| is an absolute value function's parent function or most fundamental function.

The graph shows only one slope

The graph of  y = 1/2 |x| is attached

However if the equation is  y=1/2 * [x] = x/2 then the second option at the top represents the graph with a slope of 1/2.

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The correct interpretation is (a) I am 95% confident that the confidence interval for mean weight of apples in the orchard will be between 147 grams to 151 grams

A confidence interval, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times.

A 95% confidence interval is a range of values that you can be 95% certain contains the true mean of the population.

Since the 95% confidence interval for the mean weight of apples in an orchard at a specific given time is between 147 grams to 151 grams.

This follows that from our definition of confidence interval and 95 % confidence interval, that there is a 95 % confidence that the mean weight of the apples in the orchard lies between 147 grams to 151 grams.

So, the correct interpretation is (a) I am 95% confident that the confidence interval for mean weight of apples in the orchard will be between 147 grams to 151 grams

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To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.

Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.

To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406

To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.

To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.

Therefore, the completed sequence is:

7444> →→19- → -7406 → -14831 → -22256

Each term in the sequence is obtained by subtracting 7425 from the previous term.

It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.

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Answer:

0

Step-by-step explanation:

anything that is divided by 0 makes 0

have a good day!

Answer:

D Undefinited

Step-by-step explanation:

(-6 * 3)/0=

-18 * 0 =

-0

We are given a data set and we are asked to find the mean of the values by adding them all together and dividing by the number of data values, likes this:

Solving the operations we get:

Now we apply the following formula for the mean standard deviation:

Where "n" is the number of values in the data set. This means that we need to find the difference between each value and the mean, add them all together and divide the result by the number of data values, like this:

Solving the operations we get:

Solving the operations:

An equation for a rational function with the given characteristics is found as:  f(X) = a(x+4)(x) / (x+2)(x-4).

As x = -2 and X = 4 have vertical asymptotes, the denominator will contain the equations (x+2) and (x-4)

The terms (x+4) and 1 will be in the numerator since the x intercepts are (-4,0) , respectively (x-0).

Our current formula is f(X) = a(x+4)(x) / (x+2)(x-4)

We examine the horizontal asymptote to determine the value of A.

The limit of a function as x -> infinity would be - 3 since the horizontal asymptote reflects what the function looks like as x approaches infinity.

Thus,  an equation for a rational function with the given characteristics is found as:  f(X) = a(x+4)(x) / (x+2)(x-4)

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Answer:

Alright well first off you start by converting everything to fractions, but decimals work better for me. So it would be 40.5 and 1.25, 40.5 being miles and the other gas. Divide 40.5 by 1.25, giving you 32.4

His car get 32.4 miles per gallon

Answer:

4/9

Step-by-step explanation:

8/2=4

18/2= 9

Answer = 4/9

NOTE: JUST SIMPLIFY 2 IN BOTH SIDES

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Thank u  

XD  

the answer is 75! Hope this helps! :)

Answer:

25+25+25=75

Step-by-step explanation:

25x3=75

9514 1404 393

Answer:

   y = -2x² +5x -11

Step-by-step explanation:

Combine the signs on the constant. The terms are already in order of descending powers of x, which is what you want for standard form.

   y = -2x² +5x -11