Find the area of the trapezoid 8 8 12 7

The percentage of people who preferred cheesecake if 50% prefferd fruit cake 1/5 preferred sponge is 40%.

Percentage remaining = 100% - 50%

= 50%

Sponge cake = 1/5

Percentage of sponge cake = 1/5 × 50%

= 1/5 × 0.5

= 10%

Percent that likes cheesecake = Total - (fruits cake + sponge cake)

= 100% - (50% + 10%)

= 100% - (60%)

= 40%

Therefore, the percentage of people who preferred cheesecake if 50% prefferd fruit cake 1/5 preferred sponge is 40%.

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This count is a discrete random variable (option A).

A discrete random variable is a variable that contains integers that can only be a limited number of possible values.  A discrete random variable is can contain only a finite set of numbers .

An example of discrete random variable is the number of students in the first period class. It is impossible for the number of students in the class to go on indefinitely.

Discrete random variable has the following properties:

A continous random variable is a variable that has an infinite number.

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Answer:

135

Step-by-step explanation:

You can add the number which are in negative o

as well

The number is in descending order by 4.

Then add the first and last number i.e.

433+107===> 540

divide 540 by 4

540/4

= 135

Based on the given coordinate grid, and the increment for each grid line, the coordinates of point A is ( fraction negative 1 and 1 over 4, fraction 3 over 4) or (-1¹/₄, ³/₄).

The x-value of point A is said to be 5 grid lines to the left of y-axis. This means that the x value will be negative.

The increments are 1/4 so the x-value is:
= -1/4 x 5

= -1¹/₄

The y-value is given by the 3 grid lines above the x-axis which means that this value is positive:

= 1/4 x 3

= 3 /4

The coordinates of A are:

(-1¹/₄, ³/₄)

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The solution to the given simultaneous equation; x + 2y = -4, 2x + 5y = 1 using substitution method is x = -22 and y = 9

x + 2y = -4

2x + 5y = 1

Using Substitution method

From equation (1)

x = -4 - 2y

Substitute x = -4 - 2y into equation (2)

2x + 5y = 1

2(-4 - 2y) + 5y = 1

-8 - 4y + 5y = 1

- 4y + 5y = 1 + 8

y = 9

Substitute y = 9 into

x + 2y = -4

x + 2(9) = -4

x + 18 = -4

x = -4 - 18

x = - 22

Therefore, the solution to the given simultaneous equation; x + 2y = -4, 2x + 5y = 1 using substitution method is x = -22 and y = 9

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Answer:

1.05

Step-by-step explanation:

Because 30% of 70 is [tex]30\% \times 70 = \frac{30}{100} \times 70 = 0.3 \times 70 = 21[/tex], so the question becomes "21 is what percent of 2000?"

To answer this, we can solve for [tex]x[/tex] in the equation [tex]21 = x\% \times 2000[/tex], which is:

[tex]21 = x\% \times 2000\\21 = \frac{x}{100} \times 2000\\21 = 20x\\x=\frac{21}{20}=1.05[/tex]

So the answer is 1.05 percent.

[tex]\stackrel{\stackrel{total~amount}{goal}}{481}~~ = ~~22(lawn)\implies \cfrac{481}{22}=lawn\implies \stackrel{rounded}{22}\approx lawn[/tex]

Answer: No

Step-by-step explanation:  proportional means corresponding in size or amount to something. However, the number of her sit-ups isn't consistent, so it isn't proportional to the time she spends doing them.

The algebraic expression that represents the number of hours Anna and Tamara traveled the first two days is (2x - 1) hours.

We are told that;

On the first day, Anna and Tamara stop for sightseeing and lost 2 hours of travel time.

On the second day, they did not stop for lunch and gained 1 hour.

Now, we are told that x is the number of hours driven per day. Thus, for two days, number of hours driven is expressed as 2x.

Now, since they lost 2 hours on the first day, then total hours travelled is;

2x - 2 hours

On the second day, they gained 1 hour. Thus;

Final total number of hours traveled = 2x - 2 + 1

Final total number of hours traveled = (2x - 1) hours

Thus, we can conclude that the algebraic expression that represents how many hours Anna and Tamara traveled the first two days is (2x - 1) hours.

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Answer:

45 405 415 425 435 445

Step-by-step explanation:

this are the pattern of 6 numbers multiplying by number 5 to get the number starts with 4

Answer:

4,20,100,500,1500,8500.

Step-by-step explanation:

Answer:

D is the correct answer -3+8=5 ,1+4=5

Answer:

290 + 5m = 985

Step-by-step explanation:

Given information:

From the given information, we can create the following equation:

Initial payment plus extra amount each month for 5 months equals total payment.

⇒ 290 + 5m = 985

To solve the equation:

Subtract 290 from both sides:

⇒ 290 + 5m - 290 = 985 - 290

⇒ 5m = 695

Divide both sides by 5:

⇒ 5m ÷ 5 = 695 ÷ 5

⇒ m = 139

Therefore, the extra amount George paid each month was $139.

Answer: [tex]\Large\boxed{290+5m=985}[/tex]

Step-by-step explanation:

Given information

Initial cost = $290

Total cost = $985

Number of months = 5 months

Cost each month = ?

Set variable

Let [ m ] be the cost each month

The equation in verble sense

Initial paid + Extra each month = Total cost

Convert verbal equation to mathematical sense

$290 + 5m = $290

Therefore, to find the extra amount paid each month, the equation is [tex]\Large\boxed{290+5m=985}[/tex]

---------------------------------------------------------------------------------------------------------

EXTRA The following will be solving the derived equation, please ignore this part if it is useless for you.

Given equation

290 + 5m = 985

Subtract 290 on both sides

290 + 5m - 290 = 985 - 290

5m = 695

Divide 5 on both sides

5m / 5 = 695 / 5

m = $139

Hope this helps!! :)

Please let me know if you have any questions

The value of  values of t for which the ball's height is 7 meters then is 4.79secs.

Velocity can be regarded as a vector measurement of the rate as well as direction of motion.

It is the the speed at which something moves in one direction and with the given velocity, the time as well as the distance can be calculated as :

Given:

h=2+25t-5t^2

But h=7

Then 2+25t-5t^2=7

-5t^2++25t +2-7=0

-5t^2+25t -5=0

we can then factorize as :

-5(t^2+5t -1)=0

Solving the equation using quadratic formula, the the roots of equations are: 4.79  and -5.0

The value of  values of t for which the ball's height is 7 meters then is 4.79secs.

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COMPLETE QUESTION :

A ball is thrown from an initial height of 2 meters with an initial upward velocity of 25 m/s . The ball's height h (in meters) after t seconds is given by the following. h=2+25t-5t^2

Find all values of t for which the ball's height is 7 meters.

Round your answer(s) to the nearest hundredth.

Answer:

False

Step-by-step explanation:

Consider an isoscles trapezoid with angles 75° and 105°.

The theorem used and the angle measures are:

D. corresponding angles postulate

m∠1 = 150°, m∠2 = 150°

According to the corresponding angles postulate, if two angles lie on same relative corner along a transversal that cuts two parallel lines (corresponding angles), then their measures are equal.

Thus, ∠1 and ∠2 are corresponding angles, therefore:

m∠1 = m∠2 [corresponding angles postulate]

Given the following:

m∠1 = (50x − 50)∘,

m∠2 = (20x + 70)∘

Therefore, we would have:

50x − 50 = 20x + 70

Subtract 20x from both sides

50x − 50 - 20x = 20x + 70 - 20x

30x − 50 = 70

Add 50 to both sides of the equation

30x − 50 + 50 = 70 + 50

30x = 120

Divide both sides by 30

30x/30 = 120/30

x = 4

Plug in the value of x

m∠1 = (50x − 50) =  50(4) − 50 = 150°

m∠2 = (20x + 70)∘ = 20(4) + 70 = 150°

Thus, the answer is: D. corresponding angles postulate

m∠1 = 150°, m∠2 = 150°

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The experimental probability that only 2 of 4 children in a family are boys is 50%.

Experimental probability refers to the chance of an expected success being achieved in a series of experiments conducted.

Experimental probability is the number of times that the expected success occurs as a fraction of the total number of times the experiment was conducted.

Like all probabilities, the experimental probability is based on the likelihood that what the experimenter expects is achieved.

Expected number of boys = 2

The number of children in the family = 4

Experimental probability = 50% (2/4 x 100)

Thus, we can conclude, based on the experimental probability, that 50% (or 2) of the 4 children in the family are boys.

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Answer:

15%

Step-by-step explanation:

Step 1: Count samples with one H

Why; Only 1 of 4 children  in families are boys. The problem is simulated with samples.

Step 2: Count samples with only one H.

Why; The H represents the one boy in the family.

Step 3: Add the samples you counted with one H.

Answer: Your answer should be 3/20 after you change it into a percentage your final answer is 15%

Answer:

37°

Step-by-step explanation:

• recall that the sum of the interior angles of a triangle

  is equal to 180°

Then

The measure of the two other angles :

= 180 - 106

= 74°

The measure of each of the equal angles :

= 74 ÷ 2

= 37°

Answer:

the 2 angles r 37

Step-by-step explanation:

the angles of triangle sums up to 180, and lets call the unknown angle x, since they're both equal, x+x=2x

so when 3 angles of triangle adds up, we get 180

106+2x=180

2x=180-106
2x=74, divide both sides by 2 to get x

x=74/2

x=37

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Answer: C: 12-7x

Step-by-step explanation:

This expression is a good example of the difference of two squares, as 144 is the square of 12, while 49x² is the square of 7x.

Any difference of two squares [tex]a^2-b^2[/tex] can be factored into the sum of their square roots times the difference of their square roots [tex](a+b)(a-b)[/tex].

Let's factor our expression.

[tex]144-49x^2=(12+7x)(12-7x)[/tex]

Out of all the options given, only [tex]12-7x[/tex] is a factor. Hence, option C is correct.

From the given functions, of the cost, c(x) = 300 + 260•x, and revenue, r(x) = 300•x - x², we have;

First part;

The values of x to break-even are;

x = 30, or x = 10

Second part;

The profit function, P(x) is presented as follows;

P(x) = x•(40 - x) - 300

Third part;

The cost is c(x) = 300 + 260•x

Revenue is r(x) = 300•x - x²

First part;

At the break even point, we have;

Which gives;

300 + 260•x = 300•x - x²

x² + 260•x - 300•x + 300 = 0

Factoring the above quadratic equation gives;

x² - 40•x + 300 = (x - 30)•(x - 10) = 0

At the break even point, x = 30, or x = 10

The values of x at the break even point are;

Second part;

Profit = Revenue - Cost

The profit function, P(x), is therefore;

P(x) = r(x) - c(x)

Which gives;

P(x) = (300•x - x²) - (300 + 260•x)

P(x) = 300•x - x² - 300 - 260•x

P(x) = 300•x - 260•x - x² - 300

P(x) = 40•x - x² - 300

The profit function is therefore;

Third part;

When 10 more units are sold than the break even point, we have;

x = 30 + 10 = 40 or x = 10 + 10 = 20

The profit at x = 40 or x = 20 are;

P(40) = 40•(40 - 40) - 300 = -300

When the number of units sold, x = 40, the profit is, P(40) = -($300) unexpected loss

At x = 20, we have;

P(20) = 20•(40 - 20) - 300 = 100

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The dependent variable in this situation is; the speed at which the car travels.

Speed = Distance / Time

The dependent variable in this situation is; the speed at which the car travels.

The independent variable; The distance the car has traveled.

This is the variable whose value depends on one or more variables in the equation.

Independent variable

This is the variable whose value is not dependent on any other in the equation.

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Answer:

18.8 inches

Step-by-step explanation:

The circumference is [tex]\displaystyle{C = 2\pi r}[/tex]. The diameter is two times of radius which can be expressed as [tex]\displaystyle{d = 2r}[/tex].

We can rewrite the equation of circumference as [tex]\displaystyle{C = \pi d}[/tex]. Thus, substitute d = 6 in:

[tex]\displaystyle{C = 6\pi}\\\\\displaystyle{C = 18.849}[/tex]

Rounding to the nearest tenth, we will get:

[tex]\displaystyle{C = 18.8 \ \sf \ inches}[/tex]

Hence, the circumference is 18.8 inches.

Step-by-step explanation:

answer=18^2/3

according to the congruent triangles are present there.

so divide corresponding sides

The circumference of the circles from biggest to smallest are; 30π, 15π and 7.5π

The formula for area of a circle is;

A = πr²

In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.

The area of a circle formula is useful for measuring the region occupied by a circular field or a plot. Suppose, if you have a circular table, then the area formula will help us to know how much cloth is needed to cover it completely.

The area formula will also help us to know the boundary length i.e., the circumference of the circle. Does a circle have volume? No, a circle doesn't have a volume

Area of entire circle is 706 cm².

Thus;

πr² = 706

r² = 706/π

r = √(706/π)

r ≈ 15

Circumference of biggest circle = 2πr

Circumference of biggest circle = 2π * 15

Circumference of biggest circle = 30π

Circumference of second biggest circle = 2π * (15/2)

Circumference of second biggest circle = 15π

Circumference of smallest circle = 2π * (15/4)

Circumference of smallest circle = 7.5π

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The 4.2 inches base length and 36 in.² area of the given triangle and the 5.6 inches base length of the similar triangle gives the area of the similar triangle as 64 square inches

Area of a triangle = (Base length × Height)/2

Area of the given triangle = 36 in.²

Base length of the given triangle = 4.2 inches

Base length of the similar triangle = 5.6 inches

Therefore;

Area of the given triangle = (Base length × Height)/2

Which gives;

36 = (4.2 × h)/2

Where;

h = Height of the given triangle

36 × 2 = 4.2 × h

[tex]h = \mathbf{\frac{36 \times 2}{4.2}} = 17 \frac{1}{7} [/tex]

Height of the given triangle, h = 17+ 1/7

The ratio of corresponding sides of similar triangles are the same, which gives;

[tex] \frac{5.6}{4.2} = \frac{h'}{17 \frac{1}{7}} [/tex]

Where;

h' = The height of the similar triangle

Which gives;

[tex] h' = \frac{5.6}{4.2} \times 17 \frac{1}{7} = 22 \frac{6}{7} [/tex]

The area, A', of the similar triangle is therefore;

[tex] A' = \frac{1}{2} \times 5.6 \times 22 \frac{6}{7} = 64 [/tex]

The area can also be obtained using the scale factor of area as follows;

Which gives;

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Answer: 5 times

Step-by-step explanation: The distance from his house to school and back is 0.4 km. Since he traveled 2km in a week, we have to divide 2 by0.4. 0.4x5 = 2 so he went to school 5 times a week.

Answer:

you better give me brainliest

Step-by-step explanation:

The answer is the first two

Answer:

36

Step-by-step explanation:

75/100

75/100=0.75

0.75*48 =36