What are the coordinates of the vertices of this trapezoid?

What are the lengths of the bases of the trapezoid?

What is the height of the trapezoid?

Find the area of the trapezoid if each square on the grid represents 1 square meter.
● A = ½ h(b1 +b2 )
● A =
● A =
●

Answer:

120

Step-by-step explanation:

10 out of 50 is 1/5 which is 20 percent and 20 percent of 600 is =120

Answer:rate = 24*100/(400*2) = 3%

Step-by-step explanation:

Answer:

84 ounces

Step-by-step explanation:

Total pounds of popcorn bought = 64 pounds

1/4th kept for family ==> 1/4 * 64 = 16 lbs

Remainder = 64-16 = 48 lbs

1/8th of remainder to club ==> 1/8 * 48 = 6 lbs to club

Remainder left over = 48-6 = 42 lbs

Distributed 42 lbs between each of 8 friends equally
Each friend gets 42/8 lbs = (42/8) * 16 = 84 ounces

Since there are 16 ounces in a pound

From the given information each friend receives 84 ounces of popcorn.

Let's solve the problem using thee concept of Fractions

1. Miriam bought 64 pounds of popcorn.

2. She kept 1/4 of the popcorn for her family. So, the amount of popcorn left after this step is \(\(64 \times \frac{3}{4}\)\).

Now, let's calculate the popcorn remaining after Miriam keeps some for her family:

\(\(64 \times \frac{3}{4} = 48\)\) pounds.

Next, Miriam gave 1/8 of the remaining popcorn to her club, leaving her with \(\(48 \times \frac{7}{8}\)\) pounds.

Now, let's calculate the popcorn remaining after Miriam gives some to her club:

\(\(48 \times \frac{7}{8} = 42\)\) pounds.

Finally, she distributed the rest equally among 8 friends. To find out how much each friend gets, we'll divide the total popcorn left by the number of friends:

Amount each friend gets =\(\(\frac{42}{8}\)\) pounds.

The problem asks for the answer in ounces, not pounds.

To convert pounds to ounces, we know that 1 pound is equal to 16 ounces. So, to get the amount of popcorn each friend gets in ounces, we'll multiply the previous answer by 16:

Amount each friend gets = \(\(\frac{42}{8} \times 16\)\) ounces.

Amount each friend gets = \(\(84\)\) ounces.

So, each friend will get 84 ounces of popcorn.

In summary, Miriam's 64 pounds of popcorn were reduced to 42 pounds after sharing with her family and club. Finally, the remaining popcorn was divided equally among her 8 friends, with each friend receiving 84 ounces.

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Answer:

volume

Step-by-step explanation:

cubic units means volume

Answer:multiply the value of each dimension (ength, width, and height

Step-by-step explanation:

A box and whisker plot shows the five number summary from a data-set, listed and explained as follows:

For measure of center, we use the median of each data-set, as follows:

For measure of variability, we use the interquartile range of each data-set, as follows:

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Answer:

15 is the answer

Step-by-step explanation:

add 3+17=20

20-35=15.

in fration is this

1 10/5

Answer: 5 coins

Step-by-step explanation:

Frank found 9 coins on the floor of his car, and 3 of them were quarters. This means that 3 out of the 9 coins, or \(\frac{3}{9}\), were quarters.

Simplifying this fraction, we get \(\frac{1}{3}\) of the coins found in the car were quarters.

If Frank finds 15 more coins on the ground at the same ratio, then \(\bold{\frac{1}{3}}\) of these coins will also be quarters. To find out how many quarters he will most likely find, we need to find \(\bold{\frac{1}{3}}\) of 15:

\(\large \frac{1}{3} \times 15 = 5\)

Therefore, Frank will most likely find 5 more quarters on the ground, assuming he finds coins at the same ratio as he did in his car.

_______________________________________________________

Answer:

76°

Step-by-step explanation:

Use the Exterior Angle Property. The Exterior Angle Property states that an exterior angle of a triangle is equal to the sum of it's two opposite non adjacent interior angles.

In this case, set the exterior angle equal to the sum of the two given interior angle measurements:

(c) + (c - 26) = c + 50

First, simplify, combine like terms. Like terms are terms that share the same amount of the same variable:

c + c - 26 = c + 50

(2c) - 26 = c + 50

Next, isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Subtract c and add 26 to both sides of the equation:

2c (-c) - 26 (+26) = c (-c) + 50 (+26)

2c - c = 50 + 26

c = 76

76° is your answer.

~

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Answer:

c = 76 degrees

Step-by-step explanation:

Answer:

1.5 or 1 1/2 of a lawn in one hour. about one hour to mow one yard.

Step-by-step explanation:

SORRY my answer got deleted somehow, but. A food chain refers to a sequence of organisms arranged according to the food they consume. The second part of the first question is Producers, consumers, predators, prey, scavengers, and decomposers. i hope this helped i cant answer all of them for you :D

Answer:

y = -4x - 13

Step-by-step explanation:

Use point - slope form to convert to y = mx + b form

1. Find the slope using y2 - y1 / x2 - x1

    3 + 5 / -4 + 2

    m = -4

2. Plug into point - slope form: y - y1 = m (x - x1)

    y + 5 = -4 (x + 2)

    Distribute

    y + 5 = -4x - 8

    Subtract 5 from both sides

    y = -4x - 13

Answer:

A

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer:   A

Step-by-step explanation:

\(\frac{J}{H} = G + \frac{I}{H}\)                >Since you are solving for H bring I/H to the other side

                                   by subtracting I/H from both sides

\(\frac{J}{H}- \frac{I}{H} = G\)               >There is a common denominator so you can

                                   combine the fractions

\(\frac{J-I}{H} = G\)                   >Multiply both sides by H or cross multiply whichever

                                  way your mind things about how to get H on top

\(J-I = G(H)\)           >Divide both sides by G

\(\frac{J-I}{G} = H\)                   >Answer is A

Answer: 21/54

I divided it :)

Answer:

If you are given 3 vertices of a parallelogram, as a Geometry student, you will be asked to find the exact coordinates of the 4th vertex.  Just so that you can put your mind at ease, there can be different answers depending on how you decide to "draw" or "shape" your parallelogram.  So if your answer is different than another student, it does not mean that you have done it incorrectly.

Suppose I am given 3 points as such, and I am looking for the coordinates of D:

A (2, 3)

B (8, 1)

C (11, 5)

D (x, y)

The line segments that make up our parallelogram is AD is parallel to BC, and CD is parallel to AB.  Since the definition of a parallelogram is a quadrilateral with 2 pairs of parallel sides, we can use this fact to find the coordinate to the 4 vertex.  A pair of parallel side also means that these 2 lines have the same slope.  So if we do this on both pairs of parallel lines, we should have 2 equations with 2 variables, which should be simple to solve.

Slope of CD = Slope Slope of AB

(y - 5)/(x - 11) = (1 - 3)/(8 - 2)

(y - 5)/(x - 11) = -2/6

6(y - 5) = -2(x - 11)

6y - 30 = -2x + 22

equation #1:  6y + 2x = 52

Slope of AD = Slope of BC

(y - 3)/(x - 2) = (5 - 1)/(11 - 8)

(y - 3)/(x - 2) = 4/3

3(y - 3) = 4(x - 2)

3y -9 = 4x - 8

equation #2:  3y - 4x = 1

We now we have 2 equations with 2 variables, and we can use any method (substitution, linear combination, matrix) to solve for the x and y coordinates.  

equation #1:  6y + 2x = 52

equation #2:  3y - 4x = 1

Multiply equation by -2

Equation 2: -2(3y - 4x = 1)

Equation 2:  -6y + 8x = -2

Add equation 1 to equation 2

equation 1:  6y + 2x = 52

equation 2:  -6y + 8x = -2

eq 1 + eq 2:  10x = 50

x = 5

Use any of the original equation to solve for y:

6y + 2x = 52

6y + 2(5) = 52

6y = 42

y = 7

So the 4th vertex for my first answer will be (5, 7)

If we draw the parallelogram in a different way using the given vertices, we will be looking for a different 4th vertex.  So in our original question:

A (2, 3)

B (8, 1)

C (11, 5)

D (x, y)

Our line segments in this case will be draw as such:

AC is parallel to BD and CD is parallel to AB.

Slope of AC = slope of BD

(5 - 3)/(11 - 2) = (y - 1)/(x - 8)

2/9 = (y - 1)/(x - 8)

2(x - 8) = 9(y - 1)

2x - 16 = 9y - 9

equation 1:  2x - 9y = 7

Slope of CD = slope of AB

(5 - y)/(11 - x) = (3 - 1)/(2 - 8)

(5 - y)/(11 - x) = 2/-6

-6(5 - y) = 2(11 - x)

-30 + 6y = 22 - 2x

equation 2:  2x + 6y = 52

Solve the following linear system:

equation 1:  2x - 9y = 7

equation 2:  2x + 6y = 52

eq 1 - eq2:  -15y = -45

-15y = -45

y = 3

Substitute y = 3 into any one of the original equation:

equation 1:  2x - 9y = 7

2x - 9(3) = 7

2x - 27 = 7

2x = 34

x = 17

So by drawing the parallelogram in a different way, the 4th vertex of this parallelogram is (17, 3).

Step-by-step explanation:

See Answer

The fourth coordinate for the given parallelogram will be (5, 7).

A basic quadrilateral with two sets of parallel sides is known as a parallelogram.

A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.

Given the parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1).

Now,

The slope of AB = Slope of CD

(y - 5)/(x - 11) = (1 - 3)/(8 - 2)

6(y - 5) = -2(x - 11)

⇒  6y + 2x = 52 will be the first equation.

Now,

The slope of BC = Slope of AD

[(y - 3)/(x - 2)] = [(5 - 1)/(11 - 8)]

[(y - 3)/(x - 2)] = 4/3

3(y - 3) = 4(x - 2)

⇒ 3y - 4x = 1 will be the second equation.

Now, By substitution

x = 5 and y = 7

Hence "The fourth coordinate for the given parallelogram will be (5, 7)".

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Answer:

$157.50

Step-by-step explanation:

The equation you use for compound interest is:

\(A = P(1 + \frac{r}{n})^{nt}\\\)

where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

So for this question,

150 is our initial balance = P

5% is our interest rate = r

n = 1 because the interest is compounded annually per 1 year so 1 per year

t = 1 because we are calculating the balance after 1 year

Now we can plug these in and solve for the final amount (A).

\(A = 150 ( 1 + \frac{0.05}{1})^{1 * 1}\)

remember that 5% is 5/100 so we put 0.05 for r

\(A = 150 (1.05)^{1}\)

A = 150 (1.05)

A = 157.5

This is a system of three equations with two unknowns, x and y. To solve it, we can use the method of elimination. First, we can eliminate y by subtracting the first equation from the second equation:

x^2-2y=3 - (x-2y=3) => x^2-x=0

Then we can factor the resulting equation and find the values of x:

x^2-x=0 => x(x-1)=0 => x=0 or x=1

Next, we can substitute these values of x into any of the original equations and find the corresponding values of y. For example, using the first equation:

x-2y=3 => 0-2y=3 => y=-3/2 when x=0 x-2y=3 => 1-2y=3 => y=-1 when x=1

Finally, we can substitute these values of x and y into the expression x2y-2xy2 and evaluate it:

x2y-2xy2 => 02(-3/2)-2(0)(-3/2)2 => 0 when x=0 and y=-3/2 x2y-2xy2 => 12(-1)-2(1)(-1)2 => -3 when x=1 and y=-1

Therefore, the value of x2y-2xy2 can be either 0 or -3 depending on the values of x and y.

Step-by-step explanation:

\(5 \frac{7}{10} + 6 \frac{7}{10} \)

\( = 5 + \frac{7}{10} + 6 + \frac{7}{10} \)

\( = 11 + \frac{14}{10} \)

\( = 11 + 1 \frac{4}{10} \)

\( = 12 \frac{4}{10} \)

Hello there!

\(5\frac{7}{10} +6\frac{7}{10}\)

First, we must add 5+6:

Now, we add the numerators:

\(11\frac{14}{10}\)

Hey! Look at this mixed number! A whole number and an improper fraction!

We must have a whole number and a proper fraction.

So the Answer is:

\(12\frac{4}{10} \\Reduce:\\12\frac{2}{5}\)

Hope it helps!

\(GraceRosalia\)

Answer:

The total area of the back classroom wall is (20ft x 12ft) = 240ft²

The paint coverage is usually rated by area coverage. For example, one gallon of paint is expected to cover 400 ft².

Assuming a gallon of paint will cover 400ft², she will need (240ft²/400ft²) = 0.6 gallon of paint to cover the entire wall.

Mrs. Jones will need 0.6 gallon of paint to paint the back classroom wall.

Answer:

C.(0.8) (120)

Step-by-step explanation:

0.8 = 80%

of means multiply, therefore, 0.8 x 120 equals 80% of 120.

Answer:

C. (.8)(120)

Step-by-step explanation:

that is how you find percent of a number

Answer: 25

Step-by-step explanation:

3          x

__ =  ___

12      100

If 3 games were won out of a total of 12, we can use this number to determine about how many wins would happen if the total were 100.

We can cross mulltiply with the proportion above:

12x= 300

x= 25

Another method we can use is to use the probability. In other words, 3/12 wins= a probability of 1/4. When they ask how many out of something can be found using an outcome from a previous event, multiply that event by the new number, or 100.

1/4 of the games were won when the total was 12, so out of 100, we can do:

1/4 of 100 = 25.

25 wins expected

Hope this helps :)

The surface area of the top open cylinder is 6810.149 sq.cm.

A cylinder is a three-dimensional solid that consists of two congruent surfaces (bases) and one lateral surface.

Surface area of a cylinder = Base area + Lateral area

Base area of a cylinder = 2 × π × r²

Lateral area of a cylinder = (2 × π × r) × h

Therefore, here base area of a cylinder = 2× π × 12²

                                                                  = 5837.27 sq.cm.

And, lateral area of a cylinder = (2 × π × 12) × 2

                                                  = 972.8784 sq.cm.

Therefore, total surface area of a cylinder = 5837.27 + 972.8784

                                                                      = 6810.149 sq.cm.

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Answer:

$1,825.47

Step-by-step explanation:

To find the account balance after 9 months of depositing $1,750 at a simple annual interest rate of 5.75%, we need to use the formula:

Simple Interest = P * r * t

where P is the principal amount, r is the interest rate, and t is the time period.

First, we need to convert the annual interest rate to a rate for 9 months. We can do this by dividing the annual rate by 12 and multiplying by 9:

Interest rate for 9 months = (5.75%/12) * 9 = 4.3125%

Now we can substitute the values into the formula and solve for the simple interest:

Simple Interest = $1,750 * 4.3125% * (9/12)

Simple Interest = $70.90

The simple interest is $70.90, which means the account balance after 9 months is:

Account balance = $1,750 + $70.90

Account balance = $1,820.90

Therefore, the correct answer is option 3, $1,825.47 (rounded to the nearest cent).

Answer:

15

Step-by-step explanation:

Answer:

320 pi

Step-by-step explanation:

64 pi times 5 is 320 pi

Answer:(number)=-5

Step-by-step explanation:

You can use simple logic in order to solve this equation.

An equation that has infinitely many solutions will have the same exact numbers on both sides

Example: 3x = 3x, it has infinite solutions because no matter what number you put, the equation will always be true

The solution for this equation is -5 because when -5x-19=-5x-19, no matter what number you put as a solution, it will be true.

Answer:

Step-by-step explanation:

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