Find the surface area of the prism.

Answer:

Step-by-step explanation:

we know ∠K is 90° by Thales theorem

then

180 = 90 + 4x-1 + 4x -5

96 = 8x

12 = x

x = 12

∠JLk = 4(12)-1

∠JLk = 47°

let h= 3, k=-2

radius (r) = 11 ,then

(x-h)^2 + ( y-k)^2 = r^2

(x-3)^2 + ( y+2)^2 = 11^2

x^2 -6x +9 + y^2 +4y +4 = 121

x^2 + y^2 - 6x +4y -108 = 0 is the required eq

Answer:

0.17

Step-by-step explanation:

First, we can easily calculate that the area of the rectangle is 7 * 5 = 35

Next, to find the probability of choosing a point in the triangle, we need to find the area of the triangle compared to the area of the rectangle. Notice that the square has nothing to do with the solution because we are only interested in finding the probability for the triangle!

Since the area of the triangle is base * height / 2 or  4 * 3/2 = 6, the probability is 6/35. Plugging this value in the calculator gives us 0.17

Answer:

what's the question?? I b.d ont get it

Problem 1

Answers:

It costs 1.72 dollars to send a letter that is 1.5 ounces

It costs 1.72 dollars   to send a letter that is 2 ounces

In short, both answers are  1.72 dollars

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Explanation:

The piecewise function may seem really ugly and complicated, and I can understand why many don't like them, but they aren't too bad once you get used to it.

A piecewise function is simply a collection of many functions glued together. Instead of listing four different functions, your teacher has combined them all into one super function of sorts.

Here are the rules for this function

As you can see, the definition of F(w) will change depending on what w is.

If the weight is w = 1.5 ounces, then we're on the interval [tex]1 < w \le 2[/tex] since 1.5 is between 1 and 2. So we go for the second definition shown above and we conclude that it will cost $1.72 to send this 1.5 ounce letter.

If you wanted, you could rewrite those four bulleted points into this equivalent form

which is a less mathematical way of stating it. It might also help to make it into a chart, which would help customers better who may not want to deal with math.

A letter that's 2 ounces will cost $1.72 as well since w = 2 makes [tex]1 < w \le 2[/tex] true.

In short, both the 1.5 ounce and 2 ounce letters cost $1.72 each.

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Problem 2

Answer: The graph is shown below (attached image)

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Explanation:

We have what is called a step function, or a staircase function. Either name will work. The graph consists of the horizontal portion of the stairs, but the vertical parts of the stairs are not drawn (or else we wouldn't have a function due to the vertical line test).

Note the placement of the open and closed endpoints. An open endpoint excludes the value in question, while a closed endpoint includes the value.

For instance, we have an open endpoint at (1, 1.72) while there's a closed endpoint at (1, 1.15). Each closed endpoint is directly connected to the "or equal to" portion of the inequality sign, and each open endpoint does not have the "or equal to" portion.

As the graph shows, we basically have the a certain flat cost for the four different regions. This corresponds to the costs given in the piecewise function. Each height is drawn from the list {1.15, 1.72, 2.29, 2.86}

The point labels of A,B,C,D,E,F,G,H are optional. I only put them in there to help identify which endpoints are open or closed. Points on the left side of each segment, or horizontal stair component, are open endpoints. Points on the right side are closed endpoints.

9514 1404 393

Answer:

  about 15 or 16 items

Step-by-step explanation:

The break-even point is where revenue is equal to cost.

  150x = 7x +2200

  143x = 2200 . . . . . . . subtract 7x

  x ≈ 15.38 . . . . . . . . . . divide by 143 (multiply by the inverse of 143)

__

When 15 items are sold, revenue doesn't quite cover costs. Costs still exceed revenue by 55. When 16 items are sold, revenue exceeds costs by 95. (I would call this the break-even point, because I prefer a slight profit over a slight loss.)

Answer:

I believe the answer is A

Answer:

A is your answer I think

Step-by-step explanation:

maybe wait for someone else to answer as well haha

Answer:

B. cos 46°

Step-by-step explanation:

I calculated it logically

Answer:

b. cos 46

Step-by-step explanation:

There are three angles to choose from since there are three angles in a triangle. Of these, the 90° angle can't be used (90° angles don't work with trigonometric ratios), and neither can the 44° (we're told to use a different one from this), so we're left with the unmarked angle on the bottom right. Since the angles in a triangle add to 180, and the other two angles total 134 (90+44=134), we can say this angle is 46°.

Since cos46 is our only option that involves this angle (and since cos46=x/9), this is the option which could be used to find x.

Answer:

3.7

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

you should eat more sushi because it will help you digest food better! just letting you know to help you and make you feel healthy!

xoxo

Answer:

45 cm²

Step-by-step explanation:

Area of polygon = Area of square + (area of triangle)

= (side * side) + (1 / 2 * bh)

= 5*5 + (1 / 2 * 5 * 8)

= 25 + (20)

= 25 + 20

= 45 cm²

Answer:

23

Step-by-step explanation:

Answer:

A) 3 cm

Step-by-step explanation:

since length x width = area, divide the area by the length. 30/10 = 3 (the width.)

Answer:

Option A

Step-by-step explanation:

Answer:

$ 63,250

Step-by-step explanation:

55,000 x 0.15 = 8,250

55,000 + 8,250 = 63,250

Answer:

$63,250

Step-by-step explanation:

To find the percentage of 55,000, multiply 55,000 x 0.15, giving you 8,250. Add this to 55,000 to get 63,250 dollars :)

The graph of F(x) = 3 • (0.5)^x is represented by the third graph in the image. The correct option is C.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The graph of the function is cutting an intercept at point 3 at the y-axis and is lying about the x-axis. The graph of the function is attached with the answer below.

Therefore, the graph of F(x) = 3 • (0.5)^x is represented by the third graph in the image. The correct option is C.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ5

Answer:

{7,14}

Step-by-step explanation:

Domain is always the X= Values

Answer:

it is 7.

Step-by-step explanation:

Domain = x values

range = y values

Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

Step-by-step explanation:

A property where sum of any number and its inverse is equal to zero is called additive inverse property.

For example, 11.5 + (-11.5) = 0

Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.

Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

Answer:

10 i think

Step-by-step explanation:

because 20+10+10=40

Answer:

70

Step-by-step explanation:

Let the claire pointa be x then

Mean = Sameson X / N

40= 20+30+x/3

40×3=50+x

120-50=x

Therefore x=70

Answer:

188976

Step-by-step explanation:

2032 x 93 = 188976

Answer:

3.5 or 3[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

First, subtract. 347.50 - 225.00 = 122.50

Then, divide. 122.50 ÷ 35 = 3.5

Next, you can turn the decimal into a fraction 3[tex]\frac{1}{2}[/tex]

Lastly, have a wonderful day! :)

Answer: 800

Step-by-step explanation:

Answer: 1 is a quadrilateral. I’m very sorry I don’t know the second shape.

Step-by-step explanation: a quadrilateral has 4 sides and two triangles.

Answer:

x ≈ 24.4

Step-by-step explanation:

Given

tan18° = [tex]\frac{x}{75}[/tex] ( multiply both sides by 75 )

75 × tan18° = x , then

x ≈ 24.4 ( to 1 dec. place )

Answer:

494.16 units²

Step-by-step explanation:

Total surface area of the solid = 4(area of a triangular face) + area of the square base

Area of a triangular face = ½*b*h

b = x = 11.6

h = z = 15.5

Area = ½*11.6*15.5 = 89.9 units²

Area of the four triangular faces = 4(89.9) = 359.6 units²

Area of the square base = s²

s = x = 11.6

Area = 11.6²

Area = 134.56 units²

✔️Total surface area of the solid = 359.6 + 134.56 = 494.16 units²

Answer:

He would be paying 625 extra if he paid monthly.

Step-by-step explanation:

143.75 x 12(5) = 8,625.

Answer:

Help I need HELP FAST I give brainliest.

IGNORE THIS TEXT: Which graph shows this solution set? y is greater than negative 2 and y is less than or equal to 2Answer options with 5 optionsA.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are filled in circles. Between negative 2 and positive 2, the number line is shaded. B.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are open circles. Between negative 2 and positive 2, the number line is shaded. C.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. Between negative 2 and positive 2, the number line is shaded. D.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. The number line is shaded to the left of negative 2 and to the right of positive 2. E.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is filled in circle. At positive 2, there is an open circle. The number line is shaded to the left of negative 2 and to the right of positive 2.

Answer:

b. The fitted regression line is approximately Y = 82.42(runtime)

Step-by-step explanation:

The regression line is Y=  aX + b

here b= 82.42   a = -3.31

Hence the regression equation is

Y= 82.42- 3.31 X

where x is the runtime and the slope  is given by b.

Option  a is correct because from the above equation we see that for every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.

Option b is incorrect because the runtime is not given by Y it is given by X.

Option C is correct  as  

Y= 82.42-3.31*10

Y= 82.42-33.1

Y= 49.32  almost 50

Option d is also correct that the equation line shows a relationship between oxygen consumption and the run time.

Option e is also correct because the slope is given by b and b= 82.42