If x = 7 units, y = 5 units, and h = 3 units, then what is the area of the parallelogram shown above?​

Answer:

[tex]\frac{8}{30}[/tex]

Step-by-step explanation:

Card(AUBUC)= Card(A)+card(B)+card(C)-Card (A∩B) -Card( A∩C)-Card(B∩C) +Card(A∩B∩C)

= 21 + 14 + 15 - 10 - 8 - 4 + 2

= 30

Then

Card(AUBUC) = 30

Card( A∩C) = 2 + 6 = 8

[tex]p\left( A\cap C\right) =\frac{card\left( A\cap C \right) }{card\left( A\cup B\cup C \right) }[/tex]

               [tex]=\frac{8}{30}[/tex]

Answer:

^^

Step-by-step explanation:

Answer:

Slope: 1

y-intercept: (0, -6)

Answer:

x = 24

Step-by-step explanation:

Sinθ = opposite side / hypotenuse

Sin30° = AB/BC

½ = 12/x

x = 12 × 2

x = 24

Answer:

x = 24

Step-by-step explanation:

SOH (Sin = Opposite/Hypotenuse)

CAH (Cos = Adjacent/Hypotenuse)

TOA (Tan = Oppositie/Adjacent)

The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.

Sin(30) = 12/x

Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5

0.5 = 12/x

Multiply each side by x

0.5x = 12

Divide off 0.5 from both sides

x = 24

The area of the triangle will be 4.2 square meters.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The height is 2.4 meters and the base is 3.5 meters.

Then the area of the triangle will be

Area = 1/2 x b x h

Then we have

Area = 1/2 x 3.5 x 2.4

Area = 4.2 square meters

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✔ formula: A =  1/2 bh

✔ 3.5

✔ 2.4

✔ multiplying

✔ 4.2

Step-by-step explanation:

Took quiz

Answer:

P(1 or 2) = 2/9

Step-by-step explanation:

OR means we add each probability

If it is 9-sided, I will assume the die will be numbered 1-9

Probability of getting a 1 in mathematical notation is:

P(1) = 1/9

Probability of getting 2:

P(2) = 1/9

We add their probabilities since we want to know if we get either 1 or 2

P(1) + P(2) = 1/9 + 1/9 = 2/9

If the question asked what the probability was of getting a 1 and a 2 by rolling the die twice, we would multiply the probabilities together

1/9 x 1/9 = 1/81

Answer:

11

Step-by-step explanation:

if the other things are the XY and XY, then the other one needs to measure 11.

Answer:

x+2

Step-by-step explanation:

Given polynomial:

1x+2

x can be written as 1x, which is

Same case is here as well.

Rewrite 1x as x:

There isn't any like terms so we can't simplify.

Answer:

Correct answer is B. 0.08

Step-by-step explanation:

Answer: 1980 calories

Step-by-step explanation:

290grams of carbs=1160g

60 grams of fat=540

70 grams of protein=280 calories

290 x 4=1160

60 x 9=540

70 x 4=280

1160+540+280=1980 calories

carbs provide 4 calories per gram

fat provides 9 calories per gram

protein provides 4 calories per gram

Answer:

$0

Step-by-step explanation:

Since there is no useful data in this question, we will fill in the blanks with what we know:

Amount of cash taken: $0

Therefore, you have taken a cash advance of $0

LOL

Answer:

sp= 1300

p=200

Sol...

1300-200=1100

Using translation concepts, it is found that the correct option is given by:

B. The graph of f(x) is shifted three units down from the graph of g(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is:

[tex]g(x) = -4^{5x}[/tex]

The translated function is:

[tex]f(x) = -4^{5x} - 3[/tex]

3 was subtracted from the original function, which means that the translated function was shifted 3 units down, and option B is correct.

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Answer:

A. 20%  B. 35%

Step-by-step explanation:

a. (48,000 divided by 240,000) x 100 = 20

B. (84,000 divided by 240,000) x 100 = 35

Answer: 8,982,596 cm

Step-by-step explanation:

Rectangular Prism Volume = Height * Length * Width/base

238 cm * 113 cm * 334 cm = 8,982,596 cm

Answer:

Option D

Step-by-step explanation:

Option D is not proper scientific notation, as the exponent is not on the 10

Answer:

only two brother ok bye

From the graph, the coordinate of M and L will be (-1, 3) and (3, 3). Then the equation of the line ML will be y - 3 = 0.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.

The coordinates and relations between the points are:

A(-3,-3), B(5,-3), C(5,5), and E(-3,5)

Then the equation of the line ML will be

From the graph, the coordinate of M will be (-1, 3) and the coordinate of L will be (3, 3).

Then the equation will be

[tex]\rm y- 3 = \dfrac{3-3}{3+1} (x - 3)\\\\y - 3 = 0[/tex]

Then the equation of the line ML will be y - 3 = 0.

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Answer:

The answer is 3 or x<3.

Answer:

83.4

Step-by-step explanation:

Answer:

43.75, or 43.8 to the nearest 10th

Step-by-step explanation:

The mean is the mathematical average of a set of two or more numbers.  Summing the numbers in a set and dividing by the total number gives you the arithmetic mean.

The total of your numbers is 700.

There are 16 numbers.

700 divided by 16 is 43.75

The statement is true because the arcsin function is defined to be the inverse of the sin function.

For invertible function f(x) (this means that f(x) has an inverse) we define the inverse function g(x) such that:

f(g(x)) = x

g(f(x)) = x

Now, particularly for the sin function, arcsin is defined as the inverse function.

Then by definition, arcsin must meet the conditions:

So the answer is true for the definition of the arcsin function.

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see the attachment...

hope it helps...!!!

Answer:

There are two solutions.

[tex]x_1 = -0.5\\x_2 = -2[/tex]

Step-by-step explanation:

Step 1

Use the formula of ax^2 + bx + c = 0 to find the coefficients.

[tex]a = 2\\b = 5\\c = 2[/tex]

Step 2

[tex]x=\frac{ (-b+/-sqrt(b^2-4ac))}{(2a)}\\x=\frac{ (-5 +/- sqrt(5^2-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-8*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(9))}{(2*2)}[/tex]

[tex]x = \frac{-5 +/- \sqrt{9} }{4}[/tex]

Step 3

[tex]9 = 3^2\\\sqrt{9} = \sqrt{3*3}\\\sqrt{3*3} = \sqrt{3^2}\\\sqrt{3^2} = 3[/tex]

Step 4

[tex]x_1=\frac{(-5+3)}{4} -- > x_2=\frac{(-5-3)}{4}\\x_1=\frac{(-5+3)}{4}\\x_1=\frac{-2}{4}\\x_1=-0,5[/tex]

[tex]x_2=\frac{(-5-3)}{4}\\x_2=\frac{(-8)}{4}[/tex]

[tex]x_2=-2[/tex]

Hope this helps.

If the function f(x) is translated at a point (2, 6). Then the function g(x) will be given as g(x) = (x - 2)² + 6.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Function g can be thought of as a translated (shifted) version of f(x) = x².

Then the equation of the function g(x) will be

g(x) = (x - 2)² + 6

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The perimeter of the figure to the nearest hundredth is 50.26 cm.

The perimeter of a figure is the sum of the whole sides of the figure.

The perimeter of the figure can be found as follows:

perimeter of the figure = 12 + 5 + 5 + circumference of the semi circle

circumference of the semi circle  = πr

where

perimeter of the figure = 22 + πr

perimeter of the figure = 22 + 3.14(9)

perimeter of the figure = 22 + 28.26

perimeter of the figure = 50.26 cm

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The number of folders and notebooks in the equation is given by 3 and 5 respectively.

let

The equation:

x + y = 8

0.50x + 1.0y = 6

From (1)

x = 8 - y

Substitute x = 8 - y into (2)

0.50(8 - y) + 1.0y = 6

4 - 0.50y + 1.0y = 6

4 + 0.40y = 6

4 - 6 = -0.40y

-2 = - 0.40y

y = -2 / 0.40

y = 5

Recall

x + y = 8

x + 5 = 8

x = 8 - 5

x = 3

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Answer:

0.85x + 1.29y < 5

Step-by-step explanation:

x and y will be the numbers of grapes and potatoes he purchased.

Answer:

A minimum of 21250 packets per day.

Step-by-step explanation:

If Monday produced 15,000 packets, and Tuesday was closed they produced 15,000 packets in 2 days.

The factory is open 6 days a week.

They need 100,000 packets.

They have 15,000 packets.

6 subtract 2 is 4.

100,000 subtract 15,000 is 85,000.

They need 85,000 packets in 4 days.

That is a minimum of 21250 packets per day.

21250 is minimum equal number of packets that must be packed per day for the remaining days

Two or more expressions with an Equal sign is called as Equation.

Given that packaging factory is open from Monday to Saturday.

On monday 15,000 packets were packed.

On tuesday the factory is closed.

The factory has to pack in that week of 100000 packets.

As already 2 days completed by packing 15000

The remaining packets should be packed within 4 days.

The remaining packets are 100000-15000

85000

This should be done with in four days of time.

We need to find the minimum equal number of packets that must be packed per day for the remaining days.

Divide 85000 by 4

85000/4

21250

Hence, 21250 is minimum equal number of packets that must be packed per day for the remaining days

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Step-by-step explanation:

x^2 = 16

x = ±4

x^2 = -16

x = -

as a negative number cannot be squareroot

Answer:

91/20 or 4 11/20

Step-by-step explanation:

First, convert the 2 amounts into improper fractions

Red: 21 4/5 = 114/5

Purple: 18 1/4 = 73/4

Then, using cross multiplication, you can give them the same denominator

Red: 114/5 = 456/20

Purple: 73/4 = 365/20

Then just subtract the numerators and keep the denominator

456/20 - 365/20 = 91/20

So your answer is

91/20 or 4 11/20