The longer base of a trapezoid is 8 ft. The longer base of a similar trapezoid is 13 ft. The area of the smaller trapezoid is 240 ft2. What is the area of the larger trapezoid?

Answer:

Step-by-step explanation:

3(23-2b) + 3b = 48

1. Use the distributive property and distribute the 3 before the parenthesis

             3(23-2b)   (make sure you read the (-) as part of the 2b so it's -2b

              69 - 6b

2. 69 - 6b +3b = 48   (combine like terms...the bs: -6b + 3b)

    69 -3b=48

3. 69 - 3b = 48         (subtract 69 from both sides)

   -69           -69

4. -3b = -21      (divide both sides by negative three...we want the b to be +

   /-3    /-3

Answer: b = 7

So, C is your answer

Answer:

4.30 and 0.70 if you round of to the nearest tenth

Step-by-step explanation:

pls mark as brainliest lol

"For all finance workers, 20% will have a tattoo" is the best interpretation of the probability 0.20.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

This can be calculated by taking the number of finance workers with tattoos and dividing it by the total number of finance workers, and then multiplying by 100 to express the result as a percentage.

(Number of finance workers with tattoos / Total number of finance workers) x 100 = 20%.

Here,

"20% of all finance workers will have a tattoo," is the best explanation of the probability 0.20.

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Complete question: A financial analyst reports that for people who work in the finance industry, the probability that a randomly selected person will have a tattoo is 0.20.

Which of the following is the best interpretation of the probability 0.20 ?

A- For all workers in the United States, 20% will work in finance.

B- For all finance workers, 20% will have a tattoo.

C- For all people with tattoos, 20% will work in finance.

D- For a specific group of 5 finance workers, 1 will have a tattoo.

E- For a specific group of 5 people with a tattoo, 1 will work in finance.

Answer:

C

Step-by-step explanation:

The angles at point A have to be congruent so that you have two congruent angles. and one congruent side, which give SAA.

From the image, we can see than angle B and angle D are congruent. We also know that line AC is congruent to itself since it shared between the two triangles. Since we need one more angle, that angle has to be angle A.

y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.

What is linear equation ?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Because the equation y=0 has a slope of 0, the resulting graph must be a straight horizontal line. This is true for all equations with a slope of 0.

Hence , y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.

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Function Notation: another way of representing the relation between two variables, y is denoted as f(x) and x remains.

x is the input and f(x) is the output

This question is essentially asking what is the output of the function when the input is equal to 5.

[tex]f(5) = (5)^2-2(5)[/tex]

[tex]f(5) = 25-10[/tex]

[tex]f(5) = 15[/tex]

All values that are NOT in the domain of 9 are 5 /11 at x=9, where function  h=7.

All real numbers x, with the exception of those for which the denominator is 0, are included in the domain of a rational function. Equilibrate the denominator to zero and then solve for x to determine which x values are excluded from the scope of a rational function.

h(x)=x-2\sg(x)=(x-4)(x+2)

Suppose x = 9 and h(9) = 9-2 and g(9) = (9-4) (9+2) =5 /11

Because it is impossible to divide by zero while h is in the denominator, there will always be an issue anytime h = 7. After solving them, we discover that x cannot be either -2 or 5. So, the answer to part B would be x-5/11.or 5/11 are examples of x values that are beyond the domain.

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Answer:

A, C, D

A function can’t have repeating x-values. Each assigns exactly one range (y-value) to each domain (x-value)

FOR PART A

Step-by-step explanation:

Answer:

9216

Step-by-step explanation:

number of small cubes that would fill the prism = volume of prism / volume of small cubes

volume of a prism = length x width x height

3 x 6 x 8 = 144

volume of cube = length³

(1/4)³ = 1/64

144 ÷ 1/64

144 x 64 = 9216

Answer: y=9

Step-by-step explanation:

Plug in (6,9) into the slope intercept form equation:

9=0(6) +b

Then get

9=b

When you make the equation you would end up with:

y=0x+9

which simplifies to y=9

The place with the highest temperature is Oslo.

The difference between the temperature in Ottawa and Oslo is 5.2 degrees Celsius .

The new temperature in Moscow is 11 degrees Celsius .

When temperatures are in the negatives, the higher temperature would be the smaller number. Oslo therefore has the highest temperature at - 4.3 °C.

The difference between the temperature in Ottawa and Oslo can be found by subtracting the temperatures:

= - 4 . 3 - ( - 9 . 5 )

= - 4.3 + 9 .5

= 5. 2 degrees Celsius

The new temperature in Moscow is:

= - 7.9 - 3.1

= 11 degrees Celsius

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Answer:

0, 1, 2

Step-by-step explanation:

The solution to a system of equations given graphically is at the intersection of the individual graphs.

Graph (1)

There is no intersection between the 2 graphs so no solution

Graph (2)

There is one point of intersection between the 2 graphs so 1 solution

Graph (3)

There are two points of intersection between the 2 graphs so 2 solutions

Answer:

88

Step-by-step explanation:

A straight line has 180 degrees so you would subtract 92 from 180 which gives you 88.

Answer: The answer is 88 degrees

Step-by-step explanation:

A straight line is 180 degrees by default, so just subtract the known angle from 180 (180-92=88)

Answer:

(-1, -5)

Step-by-step explanation:

Moving 1 to the left means moving from 0 to -1 for the x-coordinate

Moving 5 to the bottom means moving from 0 to -5 for the y-coordinate

Answer:

Last Option

Step-by-step explanation:

In a graph, there are 4 section she moved to the bottom left of the graph. She was at point (0,0) --- (aka origin).

When we move left we are going down in value, it's the same case with moving down. When we move up and right we increase in value.

In Amanda's case she moves down and left, she goes left 1 unit affecting the x-axis (-1) and she moves down affecting the y-axis(-5).

Now we haev two numbers -1 and -5.

So she is at point (-1, -5)

The width of the arch at its base can be found by setting ƒ(x) = 0 and solving for x. This gives  x=12 feet.

Horizontal distance is the length of a straight line between two points, measured only in the horizontal direction. It is typically measured in units such as kilometres, meters, miles, or yards.

No, the box truck will not fit under the arch. The height of the arch at a horizontal distance of 8 feet is ƒ(8) = -0. 5(8)2 + 6(8) = 4 feet, which is less than the height of the truck (13. 5 feet).
The maximum height a truck that is 8 feet wide and is passing under the bridge can be is ƒ(8) = 4 feet.

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Answer:

x must be 14/4 = 7/2

Step-by-step explanation:

The sum of the three interior angles of a triangle must be 180 degrees.

Thus, in this particular case,

82 + 64 + 4x + 20 = 180, or

   146     + 4x = 160, or

                4x = 160 - 146 = 14

Then 4x = 14, and x must be 14/4 = 7/2

Answer:

x = 6

Step-by-step explanation:

72 + 64 + (4x + 20) = 180

4x + 156 = 180

4x = 180 - 156

4x = 24

x = 6

The area occupied by the semicircle, rectangle, and right-angled triangle in the figure is 51.63 m3.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. Triangle angles add up to 180 degrees when combined together.

given

Three shapes—a rectangle, a triangle, and a semicircle—make up the figure.

Triangle + rectangle + semicircle together make up the figure's surface area.

Triangle's area is equal to 1/2 * 3 * 5.

Triangle's surface area is 15/2.

Triangle's surface area is 7.5 m3.

Rectangle area equals length times width

Rectangle's area is equal to 6 x 5.

30 m2 is the rectangle's area.

Semicircle area equals πr²/2

Semicircle's area is equal to π(3)²/2

Semicircle's area is equal to 3.14(9)/2.

Semicircle's area is equal to 3.14 x 4.5.

Semicircle's surface area is 14.13 m2.

Area: 30 + 14.13 + 7.5

The area occupied by the semicircle, rectangle, and right-angled triangle in the figure is 51.63 m3.

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Answer:

6% change

Step-by-step explanation:

First find the difference between students at the end and the beginning of the year.

1200-1128=72

to find the percent, you need to divide the difference by the initial value.

72/1200=0.06

move the decimal

6%

Answer:

6%

Step-by-step explanation:

take the final amount of students (1128) and divide it by the beginning amount (1200) this will give you the percent of kids that stayed in the school, in decimal form .94, you can now multiply by 100 to get the percentage form of students that stayed, then subtract 94% from 100% to see that there was a 6% decrease in the number of students

if you have any questions, leave them in the comments and i will try to answer them.

Answer:

g (x) = −7 x 2 + 26 x + 8

Step-by-step explanation:

Hope it helps you.

Answer: [tex]24, 32, 40\ in.[/tex]

Step-by-step explanation:

Given

The shorter side is 8 inches shorter than the long side.

The hypotenuse is 8 inches longer than the long side.

Suppose the length of the long side is x

Short side is [tex]x-8[/tex]

hypotenuse is [tex]x+8[/tex]

using Pythagoras theorem

[tex]\Rightarrow \left( x-8\right)^2+\left( x\right)^2=\left( x+8\right)^2\\\Rightarrow x^2+64-16x+x^2=x^2+64+16x\\\Rightarrow x^2-32x=0\\\Rightarrow x\left( x-32\right)=0\\\Rightarrow x=0\ \text{or}\ 32[/tex]

Neglecting 0 as length cannot be zero

Shorter side is [tex]32-8=24\ in.[/tex]

long side [tex]x=32\ in.[/tex]

hypotenuse [tex]32+8=40\ in.[/tex]

Answer:

To graph the quadratic function f(x) = -5x^2 - 2, we can use the parabola tool.

First, let's plot the vertex of the parabola. The vertex is the highest or lowest point on the graph of a parabola, and it is located at the point (h, k), where h is the value of the x-coordinate and k is the value of the y-coordinate.

For the quadratic function f(x) = -5x^2 - 2, the vertex is located at the point (0, -2).

Next, we can use the parabola tool to draw the graph of the quadratic function. To do this, we need to set the value of a, b, and c in the equation y = a(x - h)^2 + k. For the quadratic function f(x) = -5x^2 - 2, the values of a, b, and c are -5, 0, and -2, respectively.

Therefore, the equation of the graph of the quadratic function f(x) = -5x^2 - 2 is y = -5(x - 0)^2 - 2.

Using the parabola tool, we can draw the graph of the quadratic function by plotting several points on the graph and connecting them with a smooth curve.

The graph of the quadratic function f(x) = -5x^2 - 2 is a downward-facing parabola with its vertex at the point (0, -2). The graph opens downward because the value of a is negative. The parabola is symmetrical about the y-axis because the value of h is 0. The graph passes through the y-intercept (0, -2) because the value of k is -2.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Using pythagoras theorem

The cordinate of point B is -2.

To find the coordinate of point B, we need to determine its distance from point A and then add that distance to the coordinate of point A. We are given that point B lies on a number line between points A and C, and that the distance between A and B is 1/3 of the distance between A and C.

First, we'll find the distance between points A and C. We know that the coordinate of A is -9 and the coordinate of C is 12. To find the distance between these two points, we simply subtract the coordinate of A from the coordinate of C. So, 12 - (-9) = 21. This tells us that the distance between points A and C is 21 units.

Next, we'll use this information to find the distance between points A and B. We know that this distance is 1/3 of the distance between A and C, so we'll multiply 21 (the distance between A and C) by 1/3. 21 * 1/3 = 7. This tells us that the distance between points A and B is 7 units.

Finally, we'll add this distance to the coordinate of point A to find the coordinate of point B. Since A is at -9, B is at -9 + 7 = -2. Therefore, the coordinate of B is -2.

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Answer:

13,000

Step-by-step explanation:

We are 30 years away from 1990 which is double of 15 years so if you double 6,258 you get close to 13,000

Answer:

C, 13,000

I have attached a graph to help you out:

Hope this helps!

That be 148 green peppers if I have my math right.

Step-by-step explanation:

because its 4 times as much, and altogether equals 185, the equation is 5x=185, so x is equal to 37, which is how many yellow peppers she sold. multiply that by 4, and you get 148 green peppers. I hope this helps

The given series is convergent and the sum S∞ is 5.555

Think about 10 - 8 - 6.4 - 5.12

If the common ratio of the series is between -1 and 1, then a geometric progression will be convergent.

the average ratio,

r = -8/10

⇒ r = -0.8

This equals 1 - 0.8 - 1.

The presented series is hence convergent.

Sum of series = S∞ = a/(1 - r)

Here, first term(a) = 10,

common ratio(r) = -0.8,

S∞ = a/(1 - r)

⇒ S∞ = 10/(1 - (-0.8))

⇒ S∞ = 10/(1 + 0.8)

⇒ S∞ = 10/1.8

⇒ S∞ = 5.555

Therefore, the given series is convergent and the sum S∞ is 5.555

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