explain how -6(3) = -18

The first polygon is a Rhombus.

The second polygon is a Square.

Given 2 polygons with 4 sides, so they are quadrilaterals.

We have to name the polygon based on the given properties.

Consider the first polygon.

Here it is given that, the diagonals of the quadrilateral bisects the angles. The figure seems like either a rhombus or parallelogram.

This seems more like a rhombus since the diagonals bisect the angles.

For a parallelogram, it is not always required for the diagonals to bisect the angles.

Consider the second polygon.

Here the diagonals are of equal length.

Also the diagonals forms right angles with each other.

The diagonals are equal for square.

So this is a square.

Hence the first on is a rhombus and the second one is a square.

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A paper made of tree?

The equation of the trend line is given as follows:

y = 1.33x + 20.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

Two points on the line in this problem are given as follows:

(0, 20) and (15, 40).

When x = 0, y = 20, hence the intercept b is given as follows:

b = 20.

When x increases by 15, y increases by 20, hence the slope m is given as follows:

m = 20/15

m = 1.33.

Hence the function is given as follows:

y = 1.33x + 20.

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Answer:

sorry i don't really get this cause the way you explained it maybe in the comment section say it again and i might get it when you say it again.

Answer:

  (x, y) = (1, 8)

Step-by-step explanation:

Maybe your equations are ...

Equating the values of y, we have ...

  2x +6 = -3x +11

  5x = 5 . . . . . . . . . . add 3x-6

  x = 1 . . . . . . . . . . . divide by 5

  y = 2(1) +6 = 8

The solution is (x, y) = (1, 8).

Answer:

The length of the line segment is

d = √(x₂ - x₁)² + (y₂ - y₁)²

The distance between F and G is 4.6

The midpoint between F and G is -0.7.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

Point F is at -3.

Point G is at 1.6.

Now,

The distance between F and G.

= 1.6 - (-3)

= 1.6 + 3

= 4.6

Now,

The midpoint between F and G.

There are 4.6 points between F and G.

So,

4.6/2 = 2.3

Midpoint.

=-3 + 2.3

= -0.7

Thus,

The distance is 4.6

The midpoint is -0.7.

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The amount invested in the account with 2.3% interest is $1650 whereas $150 was invested in the account whose interest rate is 3.5%

What is Hattie's annual earnings on the investment of $1,800?

The earnings that Hattie would receive every year on the investment is $1,800, the investment multiplied by the expected rate of return of 2.4%

annual earnings=$1,800*2.4%

annual earnings=$43.20

Let the amount invested at 2.3% to be x and the amount invested at 3.5% would be (1800-x), hence, the interest earnings are shown thus:

interest on 2.3% investment=x*2.3%=0.023x

interest on 3.5% investment=(1800-x)*3.5%

interest on 3.5% investment=63-0.035x

total interest=0.023x+63-0.035x

total interest=63-0.012x

43.20=63-0.012x

0.012x=63-43.20

0.012x=19.80

x=19.80/0.012

x=amount invested at 2.3%=$1650

amount invested at 3.5%=$1800-$1650

amount invested at 3.5%=$150

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Answer:

pretty sure it would be like 90 or something, don't know if it's -90 or just 90 tho

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

-230 is the same as   130      in quadrant II

reference angle   180 - 130 = 50 degrees

Answer:

x=44

Step-by-step explanation:

Pretty straightforward!

4-x/5 +x+2/3=6

3(4-x) + 5(x+2) = 90  (Multiply both sides of the equation by 15, a multiple of              both 5 and 3)

12-3x+5x+10=90 (Use Distributive property to multiply across parentheses)

-3x+5x=90-12+10 (Bring like terms together/Signs change when moved to the other side)

2x=88

x=44

Thank you for your time!

Answer: x=44

Step-by-step explanation: Pretty straightforward!

4-x/5 +x+2/3=6

3(4-x) + 5(x+2) = 90  (Multiply both sides of the equation by 15, a multiple of              both 5 and 3)

12-3x+5x+10=90 (Use Distributive property to multiply across parentheses)

-3x+5x=90-12+10 (Bring like terms together/Signs change when moved to the other side)

2x=88

x=44

Thank you for your time!

The expressions would be as follows:

1.5 x regular pay rate = 1.5R (where R represents the regular pay rate)

2 x regular pay rate = 2R (where R represents the regular pay rate)

To calculate the values, we can multiply the regular pay rate by the given multipliers:

1.5 x regular pay rate = 1.5 * regular pay rate

2 x regular pay rate = 2 * regular pay rate

Since the regular pay rate is not specified, we can represent it as "R" for simplicity.

1.5 x regular pay rate = 1.5R

2 x regular pay rate = 2R

So, the expressions would be as follows:

1.5 x regular pay rate = 1.5R (where R represents the regular pay rate)

2 x regular pay rate = 2R (where R represents the regular pay rate)

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Answer:

x<-7

Step-by-step explanation:

Steps

x+3<-4

x+3-3<-4-3

x<-7

Answer:

The answer is 19

Step-by-step explanation:

The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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The volume of the solid obtained by rotating the region about the y-axis is 3036π cubic units.

How to find the volume by rotating the region?

To find the volume of the solid obtained by rotating the region enclosed by the graphs of y=27-x, y=3x-9, and x=0 about the y-axis, we need to use the method of cylindrical shells.

Here the region is bounded by the graphs of y=27-x, y=3x-9, and x=0. We can see that the region is a trapezoid with vertices at (0, -9), (6, 9), (18, 9), and (27, 0).

Next, we need to determine the height and radius of each cylindrical shell. The height of each shell is the difference between the y-coordinates of the top and bottom of the shell. The radius of each shell is the x-coordinate of the shell.Let's consider a shell with x-coordinate x. The height of the shell is given by (27 - x) - (3x - 9) = 36 - 4x. The radius of the shell is x. The volume of the shell is given by 2πrhΔx, where Δx is the thickness of the shell.

Therefore, the total volume of the solid is given by:

\(V = \int0^6 2πx(36 - 4x)dx + \int6^18 2πx(9)dx + \int18^27 2πx(27 - x - 9)dx\)

Simplifying and evaluating the integral, we get:

V = 2π(216) + 2π(243) + 2π(243/2) = 3036π

Therefore, the volume of the solid obtained by rotating the region about the y-axis is 3036π cubic units.

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Rotating the area about the y-axis yields a solid with a volume of 3036 cubic units.

The cylindrical shell method must be used to determine the solid's volume after rotating the region enclosed by the graphs of

y=27-x, y=3x-9, and x=0 about the y-axis.

In this case, the graphs of y=27-x, y=3x-9, and x=0 define the region's boundaries. The region is a trapezium, as can be seen, with vertices at (0, -9), (6, 9), (18, 9), and (27, 0).

The height and radius of each cylindrical shell must then be determined. Each shell's height is determined by the difference between its top and bottom y-coordinates.

Each shell's x-coordinate corresponds to its radius.Consider a shell with the coordinates x and y. (27 - x) - (3x - 9) = 36 - 4x gives the height of the shell. The shell has a radius of x. 2rhx, where x is the shell's thickness, gives the volume of the shell.

As a result, the solid's entire volume can be calculated using:

When we simplify and assess the integral, we obtain:

V = 2π(216) + 2π(243) + 2π(243/2)

  = 3036π

As a result, the region's volume after being rotated about the y-axis is 3036 cubic units.

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the rule for division is:

Then:

you will substract the exponents

The area of a square is given by A = x², and its area is given by dA/dt = 2x(dx/dt). The square's sides increase at 4 m/s, so dx/dt = 4. Substituting dx/dt = 4 and A = 16m², we get dA/dt = 8x, which equals 32 m²/s.

Let x be the length of the square, then its area, A can be given by:A = x²Differentiating the above expression with respect to t, we have:

dA/dt = 2x(dx/dt)Given that the sides of the square is increasing at a rate of 4 m/s.

Therefore, we can say that dx/dt = 4.Substituting dx/dt = 4 and A = 16m² into the expression

dA/dt = 2x(dx/dt), we have:

dA/dt = 2x(dx/dt)

= 2x(4)

= 8x

= √A (since A = x²)

Therefore, x = √16 = 4m

Substituting this value of x into the expression dA/dt = 2x(dx/dt),

we have: dA/dt

= 8x

= 8(4)

= 32 m²/s

Therefore, the rate of change of the area of the square is 32 m²/s when the area of the square is 16m².

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\(\large\underline\red{\sf \implies Solution :- }\)

1) A figure formed by line segments only is called a polygon .

2) Perimeter of a regular polygon is Number of sides × Measure of each side .

3) Perimeter of a irregular polygon is sum of all sides .

4) Two circles with same centre but different radii is called Concentric circles.

5) Ratio of circumference of circle to its diameter is pie and is named by Greek letter π .

6) Distance around the circle is called circumference.

7) A chord of the circle contains exactly two points on a circle.

8) 1 hectare = 10,000 m²

Answer:

16.5 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the other leg, then

x² + 13² = 21²

x² + 169 = 441 ( subtract 169 from both sides )

x² = 272 ( take the square root of both sides )

x = \(\sqrt{272}\) ≈ 16.5 cm ( to the nearest tenth )

Answer:  

Home 30, visitor 17.

Step-by-step explanation:

Visiting team score is x. Home score is then x+13. Total of both is 47 so...

x+(x+13)=47

2x+13=47

2x-34

x=17

x+13=30

The score of  Home Team is 30 points.

The score of Visiting team is 17 points.

Here,

During the last schools football game, the Home Team scored 13 more points than the Visiting team.

The total of their scores was 47.

We have to find points of each team score.

What is Number system?

A number system is a system representing numbers. It is also called the system of numeration.

Now,

Let Visiting team score x points.

Then, Home team score is 13 more points than the Visiting team.

Home team score x + 13 points.

The total of their scores was 47.

Hence,

x + (x + 13) = 47

2x + 13 = 47

2x = 47 - 13

2x = 34

x = 17

So, The score of Visiting team is 17 points.

And, The score of  Home Team = 17 + 13 = 30 points.

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Answer:

50%

Step-by-step explanation:

rolling a six-sided die would have about 12 different outcomes

there are three numbers located on the die that are greater than 6, which are 4, 5, and 6

3/6 = 1/2 = 50%

since you are rolling the die twice, the total outcome will be calculated like this:

6/12 = 1/2 = 50%

so the probability will still be 50%

According to the information the area of the figure is 264 in²

To find the area of the figure we must take into account the dimensions of its sides. In this case we have a 16in by 9in rectangle. We must multiply these two values to find the area of this rectangle:

On the other hand, we have a triangle at the top that is 15in high by 16in wide. In this case we multiply the same as to find the area of the rectangle and then divide by two.

Finally we add the pair of both elements to find the total area:

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Answer:

68.268%.

Step-by-step explanation:

Let \mu be the mean pregnancy length.

The given standard deviation, \(\sigma=7\) days

The z-score:

z=\frac{x-\mu}{\sigma}

where x is any pregnancy length.

The range of x within 7 days of the mean pregnancy length is

\(\mu-7<x<\mu+7.\)

z-score for this range is:

\(\frac{\mu-7-\mu}{\sigma}<z<\frac{\mu+7-\mu}{\sigma}\)

\(\Rightarrow -1<z<1\)

So, the area on the normally distributed curve for the above range of z-score will give the expected percentage of birds to occur within 7 days of the mean pregnancy length.

Now, from the z-score table:

The area from \(z = -\infty\) to z=1 is 0.84134

and the area from \(z = -\infty\) to z=-1 is 0.15866.

So, the area for -1<z<1

=0.84134 - 0.15866

=0.68268

Hence, the percentage of births would be expected to occur within 7 days of the mean pregnancy length=68.268%.

Answer:

x = 46.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin  54 = x / 58

58 sin 54 =x

x=46.92298

To the nearest tenth

x = 46.9

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

That's a Project not a Problem.