Tamara made a copy of a trapezoid to make a design in the shape of a parallelogram. What is the area of each trapezoid

Answer:

The area is 15 feet

Step-by-step explanation:

So you are going to need two different equations-

l = w(3)

2l + 2w = 40

Insert the first equation into the second-

2(3w) + 2w = 40

Simplify this equation-

6w + 2w = 40

8w = 40

Divide both sides by 5

w = 5

Solve first equation

l = 5(3)

l = 15

Then find the area-

5 x 15 = 75

Answer:

yes it is the same

Step-by-step explanation:

4.80/6=0.8

8/10=0.8

Mark me brainliest please

Answer:

\( \frac{x - 9}{2} = 5 \\ x - 9 = 5 \times 2 \\ x = 10 + 9 \\ x = 19\)

The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.

A plane that travels a distance \(r\), in kilometers, with a bearing of \(\theta\) sexagesimal degrees can be represented in standard position by means of the following expression:

\(\vec r = r\cdot (\sin\theta, \cos \theta)\) (1)

We can obtain the resulting vector (\(\vec R\)) by the principle of superposition:

\(\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})]\) (2)

If we know that \(r_{1} = 5\,km\), \(\theta_{1} = 0^{\circ}\), \(r_{2} = 6\,km\), \(\theta_{2} = 60^{\circ}\), \(r_{3} = 4\,km\) and \(\theta_{3} = 120^{\circ}\), then the resulting vector is:

\(\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})\)

\(\vec R = (5\sqrt{3}, 6) \,[km]\)

The magnitude of the resultant is found by Pythagorean theorem:

\(\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}\)

And the bearing is determined by the following inverse trigonometric relationship:

\(\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right)\) (3)

If we know that \(R_{x} = 5\sqrt{3}\,km\) and \(R_{y} = 6\,km\), then the magnitude and the bearing of the resultant is:

\(\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}\)

\(\|\vec R\| \approx 10.536\,km\)

\(\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)\)

\(\theta_{R} \approx 34.715^{\circ}\)

The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.

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Answer:

He should change 3.6 to 36

and

he should change 8.42 to 84.2

He should also move the decimal up when dividing like in the picture I posted.

Step-by-step explanation:

I other words, he should shift the decimal points to the right one

I hope that I could help!

He should also move the decimal up when dividing in the picture that is posted.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

We need to find 8.42 divided by 3.6 longhand.

8.42 / 3.6

= 2.33

He should change 3.6 to 36 and he should change 8.42 to 84.2

He should also move the decimal up when dividing in the picture that is posted.

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Answer:

I think the answer is 6.5

Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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Answer:

positive because two negatives make a positive and the answer is not positive.

The solution of the expression -2.7 + x =-3.5 is -0.8 and is negative.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is -2.7 + x= -3.5. The value of x will be calculated as,

-2.7 + x =-3.5

x = -3.5 + 2.7

x = -0.8

Therefore, the solution of the expression -2.7 + x =-3.5 is -0.8 and is negative.

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Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

Answer:

The answer should be y=2x-4.

Step-by-step explanation:

The slope of the line (rise/run) is 2/1, or 2, and the y-intercept is -4.

The amount of the area of the home used and the total area of the second property are 26.25 acres and 20.625 acres respectively.

The amount of land to be used for a home is the difference between the total land area and the area to be used for land :

Land Area of second property = 0.78 times the land ares

Therefore, the total area of the second property is 20.625 acres.

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Answer:

1. 5/2   2. 8    3. 4    4.no  5. yes

Step-by-step explanation:

Answer:

X= 1

Y= -3

Factor and set each factor equal to 0

Answer:

JK = 6

NL = 4

Step-by-step explanation:

J > K > M > N > L

JN = 14

KM= 4

MN = 4

LN = 4

JN - KM -MN= JK

14-4-4=JK

JK = 6

if 3 measures are 4 then this is showing radius split into two sectors

JK therefore is segment  1 = 6

KM therefore is segment 2 = 4

MN therefore is the sector radius from M = 4

NL therefore is the sector radius from N to L which meets J and = 4 as it is an end line of the segment.

Answer: Chloe is 12 years old

y + 2.5

y = 9.5

9.5 + 2.5 = 12

y = x - 4 is  the equation of the line in slope-intercept form.

How do you interpret a slope-intercept form?

The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.

Point from graph = (2, -2 )

                slope (m) = y/x

                                = -2/2

                                = 1

slope-intercept form ⇒ y = mx + c    

                                        -2 = 1 * 2 + c

                                          - 2 = 2 + c

                                               c = -4

 slope-intercept form ⇒ y = x - 4

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Answer:

1/4

Step-by-step explanation:

-1/2 in to -2/4

3/4+(-2/4)=1/4

Answer:

rational

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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Answer:

(-7, -10)

\(x=-7\\y=-10\)

Step-by-step explanation:

\(4x-4y=12\)

Substitute x for -7.

\(4(-7)-4y=12\)

Multiply 4 by -7.

\(-28-4y=12\)

Add 28 on both sides.

\(-4y=40\)

Divide -4 on both sides.

\(y=-10\)

Answer:

Step-by-step explanation:

According to question, we know that

His Sister has "1/5*$25 which is equal to $5, and his father has "40%*$25 which is equal to 0.4 * $25 = $10". So, the money Hafiz, his sister and his father have in total

= $25+$5+$10 = $40

Hafiz = $25

Sister = \(\frac{1}{5}\)

Father = 40%

Total money of Hafiz, Sister, and Father altogether.

\(\frac{1}{5} X\) $25

= $5

40% (0.4) x $25

= $ 10

$ 25 + $ 5 + $ 10

Answer:

x = - 6, x = 6

Step-by-step explanation:

\( \frac{9}{x} = \frac{x}{4} \\ \\ x \times x = 9 \times 4 \\ \\ {x}^{2} = 36 \\ \\ x = \pm\sqrt{36} \\ \\ x = \pm 6 \\ \\ x = - 6, \: \: x = 6\)

Answer:

210

Step-by-step explanation:

(52-10)

42÷5

8.4×25=210

Answer:

BEODMASS

( 52 - 10 ) ÷ 5 × 23

42÷5 ×23

8.4 x 23

193.2

Hello !

\(F(x) = 5 \times ( \frac{1}{3} ) {}^{x} \)

\(F(4) = 5 \times ( \frac{1}{3}) {}^{4} = 5 \times \frac{1 {}^{4} }{3 {}^{4} } = 5 \times \frac{1}{81} = \frac{5}{81} \)

Answer:

0 degrees

Step-by-step explanation:

To find m/YAI, we need to first find the measure of angle KAI, which is the sum of angles KAY and LAI. Then, we can find the measure of angle YAI by subtracting the measure of angle KAI from 180 degrees.

Using the angle addition postulate, we know that:

m/KAY + m/LAI = m/KAI

Substituting the given values, we get:

4x + 39 + 12x - 9 = m/KAI

Simplifying the expression, we get:

16x + 30 = m/KAI

Now, we need to solve for x. To do this, we can use the fact that angles KAY and LAI are supplementary (add up to 180 degrees) since they form a straight line. Thus:

m/KAY + m/LAI = 180

Substituting the given values, we get:

4x + 39 + 12x - 9 = 180

Simplifying the expression, we get:

16x + 30 = 180

Subtracting 30 from both sides, we get:

16x = 150

Dividing both sides by 16, we get:

x = 9.375

Now that we know x, we can substitute it back into the equation we found earlier:

16x + 30 = m/KAI

16(9.375) + 30 = m/KAI

150 + 30 = m/KAI

m/KAI = 180

So, we know that angle KAI measures 180 degrees. To find m/YAI, we need to subtract the measure of angle KAI from 180 degrees:

m/YAI = 180 - m/KAI

m/YAI = 180 - 180

m/YAI = 0

Therefore, we can conclude that the measure of angle YAI is 0 degrees. This means that YAI is not an angle, but a line segment, and it does not have a measure in degrees.

Answer:

D. \(5\cdot\frac{1}{2}\)

Step-by-step explanation:

\(5\div 2 =\frac{5}{2} \\\\5\times\frac{1}{2}\\\\=\frac{5}{1}\times\frac{1}{2}\\\\=\frac{5}{2} \\\)

Answer:

23

Step-by-step explanation:

Answer:

The team will lose 108 games