A gate is made up of a rectangle and a semicircle, as shown. Find the area of the gate. 6 ft Show your work. K к 8 ft Solution:​

Answer: 4. I think I’m not sure

Step-by-step explanation:

9514 1404 393

Explanation:

As you know, the correct answer choices are marked.

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Translation can be accomplished by reflecting across two parallel lines. The amount of translation is double (twice) the distance between the lines. Any two lines with the same spacing will give the same translation.

Here, the translation is 4 up and 4 right. The amount by which each point is translated is 4√2 units in the direction "northeast", that is, along a line with a slope of 4/4 = 1.

Any line of reflection is a perpendicular bisector of the segment joining the original point and its image. This means we need to identify two lines that have a slope of -1 and that are separated by (4√2)/2 = 2√2 units.

The attachment shows that two lines with this slope that have a separation of 2√2 will have y-intercepts that differ by 4. (The lines shown happen to be the correct answer choices.)

The offered choices of lines have y-intercepts of {5, 6} and {10, 12}. The only pair of lines with y-intercepts that differ by 4 are y=-x+6 and y=-x+10.

_____

Additional comment

We have made sort of a qualitative argument for the correct answer. If you like, you can say that the two lines of reflection each cause the image to be located halfway to its destination. That mean, for example, for point R(2,2), the first image point is R'(4,4). The line of reflection, as we said above, is the perpendicular bisector of this. It will have a slope of -1 and go through the point (3, 3), so its equation is ...

  y -3 = -1(x -3)   ⇒   y = -x +6

Similarly, the second (final) image point is R''(6,6). We can find the other line of reflection to be one that has a slope of -1 and goes through the point (5, 5). Its equation is ...

  y -5 = -1(x -5)   ⇒   y = -x +10

These are two of the equations that are offered as answer choices, so should be selected.

As we said at the beginning, any lines with this spacing will do. We cannot presume at the start that each line of reflection will move the image half the distance.

Answer:

54.9 meters

Step-by-step explanation:

Given: Avery threw football 60 yards

To find: How high it is in meters

Solution: Simply convert 60 yards to meters, by doing that, find out how many meters are in one yard

                                                   1 = 0.9144

Multiply the result by 60

                                              60 × 0.9144 =  54.86

Then, round it to the nearest tenths;  54.9                                              

Avery threw the football 54.9 meters high

Answer:

amplitude = 3

Step-by-step explanation:

the amplitude is the vertical distance from center of the wave to the crest or the trough

The amplitude of the graph because amplitude is the maximum value of the graph of a function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a trigonometric function shown in the graph:

The amplitude is the maximum value of the graph attend or reaches in the graph.

Amplitude = [5-(-1)]/2 = 6/2 = 3

Thus, the amplitude of the graph because amplitude is the maximum value of the graph of a function.

Learn more about the function here:

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Answer: W

Step-by-step explanation:

i took the test

Answer:

A) included angle

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation: I think hope this helps

Answer:

C = 12.5663706144 cm (round it any way you need)

Step-by-step explanation:

Circumference of a Circle:

C = 2πr

C = 2π(2)

C = 4π

C = 12.5663706144 cm

Answer: pretty sure it’s $56.25

Step-by-step explanation:

4200-1500= 2700 divided by 48 months (4 years).

Answer:

Pat is right

Step-by-step explanation:

first multiply/divide then add/subtract,

Beth: 20 - 15 = 45 => 5 ≠ 45

Pat: 20 - 15 = 5 => 5 = 5

Answer:

Pat

Step-by-step explanation:

There is only one correct answer. To find it, you must follow the correct order of operations.

There is a subtraction and a multiplication. There are no parentheses.

The rule is that you must do the multiplication before the subtraction.

20 - 5 * 3 =

= 20 - 15

= 5

In order to get Beth's answer, you'd have to do the subtraction first. If there were parentheses like this: (20 - 5) * 3, then you'd do the subtraction first getting 15 * 3 which is 45, but the problem has no parentheses, so the correct answer is 5.

The correct answer is 5, and Pat is correct.

Answer: Pat

Answer:

230 cm^2

Step-by-step explanation:

A=(7×20)+1/2(20)(16.7)

A=230cm^2

Hope it helps...

Answer:

44

Step-by-step explanation:

Since a triangle has a total of 180 degrees, 62+44=136

180-136=44

Answer:

I would help if I could see the question

Step-by-step explanation:

Hope u figure it out : D

Answer:

No solution

Step-by-step explanation:

The quadratic formula is

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

where a is the coefficient of x squared, b is the coefficient of x, and c is a regular number.

Here, we have

a = 1

b = 7

c = 16

Plugging in values, we have

[tex]\frac{-7 +\sqrt{49 - 4(1)(16)}}{2(1)}[/tex]

and

[tex]\frac{-7 -\sqrt{49 - 4(1)(16)}}{2(1)}[/tex]

The first equation solves to an i term, so there is no way that there is an answer.

The second equation is also an i term, meaning there are no solutions to this equation

Answer:

the difference of double one number x and another number y. so 2x-y

7+40h

Step-by-step explanation:

there isnt an explanation just the answer

Answer:108 I think

Step-by-step explanation:

Answer:

x=arccos(sin(55))+2kπ kEZ

x=-arcos(sin(55))+2kπ ,,

Answer:

7, -10, -2

Step-by-step explanation:

Answer:

a) 16 meters ; b) 8 seconds

Step-by-step explanation:

The function can be represent with a parabola whose vertex is its maximum point

for answer the first question we have to find the y of the vertex

first of all we have to find the x

Vertex (x) = -b/2a = -8/-2 = 4

if we substitute t with 4, we can find the y

Vertex (y) = -(4^2) + (8*4) =

= -16 + 32 = 16

so the answer is 16 meters

for answer the second question we have to find where the parabola intercepts the x axis, that means solve the associated equation:

-t^2 + 8t = 0

t^2-8t = 0

t(t-8) = 0

t = 0

t = 8

the parabola intercept the x axis in (0,0) and in (8,0)

if we find the distance between this two points we can answer to the question

8-0 = 8 seconds

Answer:

y are you ga

Step-by-step explanation:

Answer:

5cps.

Step-by-step explanation:

Because when you take 42/2=12 then divide 2.7 and you'll then get 5cps. Hope it right!

Answer:

f (x) = x + 2

We evaluate the value of x = -4

f (-4) = (-4) + 2

f (-4) = -2

f (x) = -2x + 4

We evaluate the value of x = 4

f (4) = -2 (4) +4

f (4) = -8 + 4

f (4) = -4

f (x) = 3x -4

We evaluate the value of x = 0

f (0) = 3 (0) -4

f (0) = 0-4

f (0) = -4

The value of the function at x = 1 is, f(x) = - x - 4 which equals f(1) = - 3.

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

Similarly, A piecewise function can also be in terms of without modulus.

Given, f(x) = - x - 4 for x < 3.

f(x) = x² - 7, for 3 ≤x < 12.

f(x) = (120/x) + 5, for x ≥ 12.

Now, At x = 1, It satisfies,

f(x) = - x - 4 for x < 3.

Therefore, f(1) = - (-1) - 4.

f(1) = - 3.

learn more about piecewise functions here :

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Answer:

length = 6 cm

width = 1 cm

Step-by-step explanation:

l = length

w = width

l = 4 + 2w

2(4 + 2w) + 2w = 14

8 + 4w + 2w = 14

8 + 6w = 14

6w = 6

w = 1

find length:

l = 4 + 2(1)

l = 6

Answer:

Height- 8 in

Base Area- 75 square inches

Volume- 600 cubic inches

Step-by-step explanation:

Because It´s right

Answer: 8in, 75 square inches, 600 cubic inches

correct on edge

Answer:

9. 81.3953% increase

10. 26.6667% decrease

Step-by-step explanation:

Hope this helps.

Answer:

24

Step-by-step explanation:

rhombus area formula= (diagonal×diagonal)÷2

=6×8

=48÷2

=24

Answer:

17 converted to a decimal is 0.17

Step-by-step explanation:

Hope this helps

Answer:

112 inches I believe! I hope this helps!

Step-by-step explanation:

Answer:

2004 cubic inches

Step-by-step explanation:

Looking at the figure, there seems to be a chunk missing from the front. Since the overall length is 15 inches, and the length near the missing chunk is 12, then the missing length is 3. If that chunk was filled in, this would have been a 17 * 15 * 8 rectangluar prism. That would have been 2040 cubic inches. (120 * 17) However, a 3 by 8 by 3 triangular prism is missing.

1/2(3 * 8 * 3)

1/2(24 * 3)

1/2(72)

36

Now, subtract 36 from 2040.

2040 - 36

2004 cubic inches

2004 cubic inches of gas will fill this gas can.

Answer:

See below for steps and answers, but answers are:

74

5

90

Step-by-step explanation:

Order of operations is: PEMDAS = parentheses, exponents, multiplication, division, addition, subtraction

1. 56 + 9 x 2

first we multiply:

= 56 + 18

then we add:

=74

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

2. 100 / 5 x 4

first we multiply:

= 100 / 20

then we divide 100 by 20:

= 5

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

3. 8 x 12 - 6

first we multiply:

= 96 - 6

then we subtract:

= 90