Find the area of the trapezoid

Answer:

7.6 inches to the nearest tenth.

Step-by-step explanation:

18/24 = 3/4.

13.5 / 18 = 3/4.

This is a Geometric sequence with common ratio 3/4 or 0.75.

We need to find the fifth term of the sequence.

5th term = a1 (r)^(5 - 1)

=  24 * (0.75)^(5-1)

= 24 *  0.316406

=  7.6 inches.

The piling will be driven down 9 inches on the 5th stroke following the decreasing pattern of the pile driver.

The sequence of the piling being driven down by the pile driver shows a decreasing pattern. To predict the depth on the 5th stroke, we need to identify the pattern of decrease.

First stroke: 24 inches
Second stroke: 18 inches (24 - 6 = 18)
Third stroke: 13.5 inches (18 - 4.5 = 13.5)
Looking at the pattern, the reduction from the first to the second stroke is 6 inches, and from the second to the third stroke is 4.5 inches.

We can infer that the pattern of decrease is by 1.5 inches each time (6 - 4.5 = 1.5). So:

Fourth stroke decrease: 4.5 - 1.5 = 3 inches
Third stroke depth: 13.5 inches
Fourth stroke depth: 13.5 - 3 = 10.5 inches

Fifth stroke decrease: 3 - 1.5 = 1.5 inches
Fourth stroke depth: 10.5 inches
Fifth stroke depth: 10.5 - 1.5 = 9 inches

Answer:

i would say a B

Step-by-step explanation:

i dont know it correct but i times the grade by the percentage and added them together

Answer:

(-3,-4)

Step-by-step explanation:

You draw it...

         So since we are reflecting across the x-axis, we want the x-coordinate to stay the same.  We just need to take the opposite of y.

Ans. (-3,-4)

Answer:

(- 3, - 4)

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y) → (x, - y)

Hence

P(- 3, 4) → P'(- 3, - 4)

Answer:

  -4.41

Step-by-step explanation:

208° is a 3rd-quadrant angle, so its x-coordinate will be negative. Your calculator can tell you that 5 times the cosine of this angle is -4.41, or you can refer to a diagram.

Answer:

90 sq inches

Step-by-step explanation:

The lateral area is the side area of the pyramid. In this case, there are 3 sides because the base is a triangle.  Since the base is an equilateral triangle, all sides are of equal dimensions.  So, the sides of the pyramid are also all of the same size, area.

We then just have to figure out the area of one of the side triangles, then multiply it by 3 to get the total lateral area of that pyramid.

We know how to calculate the area of a triangle: A = (b * h)/2

In this case, b = 5 in, h = 12 in. So,

TA = (5 * 12)/2 = 60 / 2 = 30

Each side triangle has an area of 30 sq inches.

LA = 3 * TA (since there are 3 sides)

LA = 3 * 30 = 90 sq inches

Answer: The surface area is 90 in^

Step-by-step explanation:

It is correct

Answer:

  -4r³s -3r² +2rs -5

Step-by-step explanation:

The powers of r in each of the terms from left to right are ...

  3, 1, 0, 2

Arranging these in descending order gives the sequence of terms ...

  -4r³s -3r² +2rs -5

Answer:

371.84$

Step-by-step explanation:

Normal hourly rate = $8.15 per hour

Overtime rate = time and a half = 1.5 x normal hourly rate = 1.5 x $8.15 = $12.23 per hour

Given that she works 43.75 hours,

= 40 normal hours + 3.75 Overtime

Total Pay,

= (40 x normal rate) + (3.75 x Overtime rate)

= (40 x $8.15) + (3.75 x $12.23)

= $326 + $45.84

= $371.84

Answer with explanation:

The two Linear  functions which we have to compare is:

1. f(x)=1.5 x

2. g(x)= 0.66 x

Equation of line passing through Origin ,having Slope m is given by:

  y= m x

Function f(x) has slope =1.5

and , g(x) has slope = 0.66.

So, function differ by slope.Slope of g(x) has greater slope than f(x).

The most appropriate level of measurement for monthly temperatures (in Fahrenheit or Celsius) is the interval scale. The interval scale accommodates differences in measurements but doesn't provide meaningful ratios. The other levels of measurement (nominal, ordinal, ratio) are not suitable for such kind of temperature data.

The level of measurement most appropriate for monthly temperatures, such as 63° f, 67° f, 71° f, 75° f, and 79° f, is the interval scale. The interval level of measurement pertains to data where differences make sense, but ratios do not. This means that while we can say one temperature is higher than another, we cannot say one is a certain multiple of another. For instance, we can confidently say 80° F is 20 degrees hotter than 60° F, but we can't say it is 'twice as hot'.

Temperatures are measured using scales like Celsius (C) and Fahrenheit (F), which both logically fall under this level because 0 is not the absolute lowest temperature.

The other levels of measurement include nominal, ordinal, and ratio. The nominal scale is for categorical data, the ordinal scale includes an order of values, and the ratio scale allows for meaningful fractions or ratios of values. In the case of temperatures, these other levels do not apply. They require a 0 to be absolute—representing non-existence of the attribute—like in the Kelvin temperature scale, which the given temperatures are not.

https://brainly.com/question/31809255

#SPJ3

Answer:

C = 3n+20

Step-by-step explanation:

C= The Cost

n= the number of rides

So if you get on 2 rides

that would be $6

because 3x2=6

or 3+3

and just add in the 20 to get in

so the sum is

26 if you were to get on 2 rides

The total cost of a day at the amusement park, combining both the fixed admission fee of $20 and the variable cost of rides at $3 each, can be represented by the equation c = 3n + 20. Here, 'c' signifies the total cost and 'n' is the number of rides.

In this problem of an amusement park charging a $20 admission fee and $3 for each ride, we need to find an equation that can be used to determine c, the total cost of a day at the amusement park, based on n, the number of rides.

Given that the admission fee is a fixed cost of $20 and each ride costs $3, these elements can be combined into an equation where the total cost (c) is equal to the cost of each ride multiplied by the number of rides (3n), plus the fixed cost of admission ($20).

Therefore, the correct equation as per the given conditions is c = 3n + 20.

https://brainly.com/question/34326449

#SPJ11

Answer:

approximately 1.13  seconds is when the max height is obtained

29.25 ft is the max height

Step-by-step explanation:

Maximum/minimum you should automatically go to vertex if you are dealing with a parabola or a quadratic; I'm talking about something in this form y=ax^2+bx+c.

The x-coordinate of the vertex can be found by computing -b/(2a)

Or in this case the t-coordinate.

a=-16

b=36

c=9

Plug in (you don't need c for this)  -36/(2*-16)=-36/-32 (reduce)=9/8

(divide; put in calc 9 divided by 8)=1.125

t represented the seconds so we done with part A which is 1.125 seconds

Now for B, all you have to do once you found the x- (or t- in this case) coordinate, plug it into your equation that relates x (or t in this case) and y (or h in this case).

h=-16(1.125)^2+36(1.125)+9

I'm just going to put -16(1.125)^2+36(1.125)+9 into my calculator exactly as it appears which is 29.25 ft.

Answer:

no

Step-by-step explanation:

This is not a function because the same x value goes to 2 different y values x=1 goes to both -2 and -3.  This would fail the vertical line test

Answer:

18

Step-by-step explanation:

126 / 7 = 18

Answer:

(-4, -4)

Step-by-step explanation:

You have to put this in vertex form by completing the square in order to determine the vertex.  Begin by setting the quadratic equal to 0 then moving the 12 over by subtraction:

[tex]x^2+8x=-12[/tex]

The rules are to take half the linear term, square it, and add it to both sides.  Our linear term is 8.  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides:

[tex](x^2+8x+16)=-12+16[/tex]

During this process we have created a perfect square biomial on the left. We will state that, along with simplifying on the right:

[tex](x+4)^2=4[/tex]

Now we will move the 4 back over and set it back to equal y:

[tex](x+4)^2-4=y[/tex]

And from this you can see that the coordinates of the vertex are (-4, -4)

Answer:

  2-fold

Step-by-step explanation:

The symbol has reflectional symmetry about the line containing the slash, and about the perpendicular bisector of the slash. There are two (2) axes of reflectional symmetry.

Answer:

2 fold because you would fold it in half like paper.

Step-by-step explanation:

Answer:

no photo???

Step-by-step explanation:

Grant made an error in simplifying the expression.

The error in Grant's work is that he simplified the expression incorrectly. Let's go through the correct steps to simplify the expression:

So, the correct simplified expression is -1.05.

Answer: sinA = a/c

Explanation: Since A is the angle, b is the adjacent side and c is the hypotenuse since it is across the 90 degree point. Side a is the opposite side, sine is opposite/hypotenuse.

[tex]

6n-7=11 \\

6n=18 \\

n=\boxed{3}

[/tex]

The answer is a.

Hope this helps.

r3t40

Answer:

The correct answer option is B. Construct a line perpendicular to XP through point A.

Step-by-step explanation:

We are given an incomplete figure of construction of a perpendicular line and we are to determine whether which of the given answer options is the next step in the construction.

From the given marks, we can deduce that a perpendicular line to XY is being constructed, passing through P.

So the next step must be to construct a line perpendicular to XP through point A to complete the construction.

The next step in the construction is:

From the given construction we may observe that the construction is of a line segment perpendicular to line segment XY.

The steps of construction are as follows:

1) Take a line segment XY.

2) Take a compass and open the  compass more than half the length of XY and then make the arc by keeping the compass one's at X and then at Y.

3) The point where the arc meet draw a straight line such that it pass through the point P.

4) AP will be the perpendicular line to XY and point P is the mid-point of XY.

Answer:

  x^2/4 +y^2/9 = 1

Step-by-step explanation:

The standard form is ...

  (x -h)^2/a^2 +(y -k)^2/b^2 = 1

for an ellipse centered at (h, k) with semi-axis measures "a" and "b". The largest of "a" or "b" is the semi-major axis; the smaller, the semi-minor axis.

Here, the major axis is vertical, so b > a.

Since the center is not given, we assume it is the origin: h = k = 0. The semi-axes are a=2, b=3, so the equation is ...

  x^2/4 +y^2/9 = 1

Answer:

Part 1) see the procedure

Part 2) [tex]4.95x+49.95 < 9.95 x[/tex]

Part 3) [tex]x > 9.99\ months[/tex]

Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Step-by-step explanation:

Part 1) Define a variable for the situation.

Let

x ------> the number of months

y ----> the total cost monthly for website hosting

Part 2) Write an inequality that represents the situation.

we know that

Site A

[tex]y=4.95x+49.95[/tex]

Site B

[tex]y=9.95x[/tex]

The inequality that represent this situation is

[tex]4.95x+49.95 < 9.95 x[/tex]

Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B

[tex]4.95x+49.95 < 9.95 x[/tex]

Subtract 4.95x both sides

[tex]4.95x+49.95-4.95x < 9.95 x-4.95x\\ 49.95 < 5x[/tex]

Divide by 5 both sides

[tex]49.95/5 < 5x/5\\ 9.99 < x[/tex]

Rewrite

[tex]x > 9.99\ months[/tex]

Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.

The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Answer:

  d.  None of the above.

Step-by-step explanation:

The period is the change in x required to make a change of 2π in the argument to the sine function:

  2x = 2π

  x = π

The frequency is the reciprocal of the period, so is 1/π. There are no matching answer choices.

The frequency of the function y = 3sin(2x) is 2, making the correct answer c. 2.

The frequency of the function y = 3sin(2x) is 2.

To determine the frequency of a sine function, you look at the coefficient in front of the x within the sine function. In this case, the coefficient is 2, so the frequency is 2.

Therefore, the correct answer is c. 2.

Answer:

  35°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the subtended arc.

  x = 70°/2 = 35°

Answer:

75%

Step-by-step explanation:

Thee are 8 juniors... from this 6 are female.

So the probability of the student is female given its junior)=6/8=3/4=.75=75%

Answer:

20 percent

Step-by-step explanation:

6/30

6÷30=.2

Answer:

40

Step-by-step explanation:

i looked it up         ωФω         ⊕↔⊕

Answer:

c

Step-by-step explanation:

Answer:

5< 23

Step-by-step explanation:

we know that

A mathematical expression of five is 5

A mathematical expression of less is <

A mathematical expression of twenty-three is 23

therefore

"Five is less than twenty-three"  is equal to

5< 23

Answer:

5<23

Step-by-step explanation:

Here are some common facts:

* Mathematical expression of five is 5

* Mathematical expression of less is <

* Mathematical expression of twenty-three is 23

Based on the facts given above, we can conclude that:

"Five is less than twenty-three"  is equal to

5< 23

Tags: mathematical expression, mathematical expression case study, translation of expressions

Answer:

3

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

[tex]\frac{6\sqrt{2} }{\sqrt{8} }[/tex]

Simplify the denominator

[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]

Fraction reduces to

[tex]\frac{6\sqrt{2} }{2\sqrt{2} }[/tex] ← cancel the radical

= [tex]\frac{6}{2}[/tex] = 3

Answer:

graph of h(x)= a slope of 2, and the y-intercept is 0.

graph of g(x)= a slope of 1, and a y-intercept of 6.

graph of f(x)= a slope of 1, and a y-intercept of -6.

Step-by-step explanation:

The equation would be h(x)=(x-6)+(x+6) which is also equal to h(x)= 2x if you combine like terms. f(x) and g(x) equations are pretty straight forward.

Answer:

[tex]h(x)=2x[/tex]

Step-by-step explanation:

The given functions are

[tex]f(x)=x-6\\g(x)=x+6[/tex]

To answer the question, we need to sum both functions each other, as follows

[tex]h(x)=f(x)+g(x)[/tex]

Replacing each function, we have

[tex]h(x)=x-6+x+6\\h(x)=2x[/tex]

The image attached shows each function.

Therefore, the combined function is

[tex]h(x)=2x[/tex]

Answer:

if your on kahn acadmy assignment eve if your not, the answer is both a and b

Step-by-step explanation:

these both are correct

The equivalent expression to 2(-6c+3)+4c is -8c + 6. After distributing and combining like terms, it is clear that Choice A (-8c + 6) is equivalent to the given expression, while Choice B is not.

The student needs to determine which expressions are equivalent to the given expression 2(-6c+3)+4c. To find the equivalent expressions, we need to distribute and combine like terms.

Now we have simplified the original expression to -8c + 6, which is equivalent to Choice A.

To check Choice B, 3(-4c + 2), we distribute the 3: 3(-4c) + 3(2) = -12c + 6. This is not equivalent to our simplified expression -8c + 6, because the coefficients of c are different. Therefore, Choice B is not equivalent.

Thus, the correct answer is Choice A: -8c + 6.