What is the area of one of the small trapezoids? show your work and explain your reasoning.

The ninth step in the derivation is to find the lowest common multiple (LCM) to give [tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is given by this equation:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

The sixth step in the derivation is:

[tex](x + \frac{b}{2a} )^2 = \frac{b^2 - 4ac}{2a}[/tex]

The seventh step in the derivation is:

We would take the square of both sides to have;

[tex]x + \frac{b}{2a} = \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]

The eigth step in the derivation is:

We would substract b/2a from both sides to have;

[tex]x = -\frac{b}{2a} \pm \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]

The ninth step in the derivation is:

We would find the lowest common multiple (LCM) to have;

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

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The equation of the Ferris wheel is x² + y² = 25, and the transformation that shows that the circles are similar is the dilation transformation

From the question, we have the following parameters:

The equation of a circle is represented as:

(x - a)² + (y - b)² = r²

So, we have:

(x - 0)² + (y - 0)² = 5²

Evaluate

x² + y² = 25

Hence, the equation of the Ferris wheel is x² + y² = 25

See attachment for the image of the Ferris wheel

Assume that the similar circle has the following parameters:

The equation of the circle would be:

(x - 0)² + (y - 0)² = 10²

Evaluate

x² + y² = 100

Since both circles have the same center, the transformation that shows that they are similar is the dilation transformation

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Answer:

B. 23

Step-by-step explanation:

Total = 180° for a supplementary angle.

5x + 65 = 180

5x = 180 - 65

5x = 115

x = 115/5

x = 23

Answer:

B. 23

Step-by-step explanation:

The sum of the angles that creates a straight line is 180 degrees. So we can write the equation

5x + 65 = 180

Solve for x by first subtracting 65 on both sides

5x = 115

Then divide both sides by 5

x=23

[tex] \huge\fbox\green{ANSWER} [/tex]

Surface Area = 2×(8.25×1.5 + 8.25×3 + 1.5×3) = 83.25 centimeters^2

[tex] \mathsf \blue{83.25 {cm}^{2} }[/tex]

Answer:12 units^2

Step-by-step explanation:

2*2=4

2*2*1/2=2

2*6*1/2=6

4+2+6=12

12 units^2

Answer:

I think D but I'm not too sure.

Change them all into decimals:

The square root of 2 = 1.41421356

3/2 = 1.5

15% = 0.15

Arrange them:

3/2, square root of 2, 1.3333..., 1.3, 15%

So, B is the correct answer.

Answer:

[tex]\frac{333}{500}[/tex]

66% = [tex]\frac{33}{50}[/tex]

In that case, for the tenths place existing as your ones place, you only need to add on one more digit to make the fraction.

Answer:

66.6% as a fraction is 33/50

Step-by-step explanation:

The number of bags that Sasha would need to fill the space around the photo box is 9 bags.

The first step is to determine the volume of the photo box. The photo box has the shape of a cuboid. A cuboid is a three-dimensional object. It has six sides and six vertices.

Volume = length x width x height

12.5 x 4.2 x 12.5 = 656.25

Bags needed - 656.25 / 75 = 9

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Answer:

The time wil be 1:45

Step-by-step explanation:

4:45 + 6 hours is 10:45

But since Miami is 3 hours ahead (different time zone), you
will add 3 hours. So that makes it 1:45 when you land!

Hope this helps!!

Answer:

[tex]speed= \frac{6.4}{4} = 1.6[/tex]

.....

Answer:

so on the graph you can

Step-by-step explanation:

first the y axis number comes first so you look at that the you do the x axis it should look like 2,3 or 2,-3 hope this works

Answer: 2x3=y. 2x3=6

Step-by-step explanation:

one: figure out what the question is asking you. Two: do 2x3 and then get the answer. Last: switch it around to find your answer.

Answer:

See below ↓

Step-by-step explanation:

Problem

Work

Solution

Answer:

The radius is 5.25

Step-by-step explanation:

The radius is always exactly 1/2 of the diameter!

Hope this helps! <3

Answer:

p = 63

Step-by-step explanation:

It is given that the variable v is equal to 7:

v = 7

Plug in 7 for v, and then solve the given equation:

p = 6v + 21

p = 6(7) + 21

Simplify. Remember to follow PEMDAS.
PEMDAS is the order of operation, and stands for:

Parenthesis, Exponents (& Roots), Multiplications, Divisions, Additions, Subtraction.

First, multiply 6 with 7:

p = (6 * 7) + 21

p = 42 + 21

Next, add:

p = 42 + 21

p = 63

63 is your answer for p.

~

Answer:

p = 63

Step-by-step explanation:

p = 6(v) = 21

add in 7 in place of v

p = 6(7) + 21

do 6(7)

p = 42 + 21

add those together

p = 63

Here you go! :)

The number of different topping combination illustrates combination

Ross have 6 different topping combination to select from

The given parameters are:

Extra toppings, n = 4

Toppings to select, r = 2

The number of extra topping that Ross can select is then calculated  using the following combination formula

Toppings = nCr

This gives

Toppings = 4C2

Evaluate the combination expression

Toppings = 6

Hence, Ross have 6 different topping combination to select from

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Answer:

  c.  $77.00

Step-by-step explanation:

The CPI is 100 times the ratio of prices relative to those in some reference period. Here, we assume the reference year is 1983, so a CPI of 186 means the current prices are 1.86 times those in 1983.

  1.86 × $41.40 = $77.00

The helment price will be $77.00 when the CPI is 186.

Answer:

C. $77.00

Step-by-step explanation:

Edge23

Using it's concept, it is found that the probabilities are given by:

a) 0.26 = 26%.

b) 0.179 = 17.9%.

c) 0.615 = 61.5%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

8 + 5 = 13 correct translations out of 28 + 22 = 50 students, hence:

p = 13/50 = 0.26 = 26%.

Item b:

5 correct translations out of 28, hence:

p = 5/28 = 0.179 = 17.9%.

Item c:

There are 13 correct translations, and of those, 8 are from section 2, hence:

p = 8/13 = 0.615 = 61.5%.

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Answer:

I think it's B.

Step-by-step explanation:

Answer: the person above is wrong

Step-by-step explanation: Some ratios are not fractions.

and All fractions are ratios

Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.

The given exponential functions, f(x) and g(x), are respectively given by:

When x < 0, one possible value is x = -1, hence evaluating the functions at these values:

[tex]f(-1) = 3^{-1} = \frac{1}{3}[/tex]

[tex]g(-1) = 7^{-1} = \frac{1}{7}[/tex]

[tex]\frac{1}{3} > \frac{1}{7}[/tex], hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.

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Answer:

205,000

Step-by-step explanation:

(100,000*0.05) *21 +100,000

Answer:

6r & 30

Step-by-step explanation:

5(6r+6)

=5*6r+5*6

=30r+30

Answer:

you just convert them into simple fractions the first one become -1159/9 and second one -790/3.

the difference in thier height is 1211/9.

Answer:

 -2-2√3, -2+2√3

Step-by-step explanation:

Let x and y be two numbers.

Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:

 x(-4-x) = -8

 -4x -x^2 = -8 . . . . . eliminate parentheses

 x^2 +4x = 8 . . . . . . multiply by -1

 x^2 +4x +4 = 12 . . . add 4 to complete the square

 (x +2)^2 = 12

 x +2 = ±√12 = ±2√3

 x = -2±2√3

Answer:

(1.2, 1.6)

Step-by-step explanation:

Rewrite both equations to make y the subject:

Equation 1:  3x - y = 2

⇒ 3x = 2 + y

⇒ y = 3x - 2

This line has a positive slope.

Equation 2:  2x + y = 4

⇒ y = -2x + 4

This line has a negative slope.

Therefore, the graph that has been plotted is y = 3x - 2

Plotting second graph

Equation of the line:  y = -2x + 4

Input x = 0 into the equation and solve to find the y-intercept:

⇒ y = -2(0) + 4 = 4

Therefore, the y-intercept is (0, 4)

Input y = 0 into the equation and solve to find the x-intercept:

⇒ 0 = -2x + 4

⇒ 2x = 4

⇒ x = 2

Therefore, the x-intercept is (2, 0)

Plot the two points (0, 4) and (2, 0), and draw a straight line that passes through them.

The solution to the system is the point of intersection of the two lines.  From inspection of the graph, this is (1.2, 1.6)

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Solving algebraically

Equation 1:  3x - y = 2

Equation 2:  2x + y = 4

Sum the equations to eliminate y:

[tex]\begin{aligned}& 3x - y & = 2\\ +\quad& 2x + y & = 4\\ \cline{1-3}& 5x & = 6\end{aligned}[/tex]

Solve for x:

[tex]\implies x=\dfrac65=1.2[/tex]

Substitute found value of x into one of the equations and solve for y:

[tex]\implies y = 3\left(1.2) - 2=1.6[/tex]

So the solution (point of intersection) of the system of equations is:
(1.2, 1.6)

Answer:

16

Step-by-step explanation:

0.20 x 80 = 16

We can double check this by dividing :)

16/80 = 0.20 = 20%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

The answer is 73 billion bars of gold

I believe it would be a car