The infield of a softball
diamond is shaped like a
square. If the distance
between bases is 60 feet,
Find the diagonal distance
From third base to First
base

1-84.9
2-11.9
3-12.5

Scale drawings are used to draw shapes in a different proportional size

The scale used in the drawing is 17 centimeters : 9 meters

From the question, we have:

So, the scale is:

Scale =  Scale length : Real length

This gives

Scale =  102 centimeters : 54 meters

Reduce the scale

Scale =  17 centimeters : 9 meters

Hence, the scale used in the drawing is 17 centimeters : 9 meters

Read more about scale drawings at:

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Answer: The answer is 9 meters.

Answer:

[tex]\sqrt{51}[/tex] or 7.14

Step-by-step explanation:

Using the Pythagoras theorem, we can conclude the formula that we are going to use here is [tex]a^{2}+b^{2} = c^{2}[/tex]

As we can see, this is a right triangle given that it has the square in the corner there. With this information, we can conclude that the longest side is 10, making it the hypotenuse or [tex]c[/tex]

Now we need to find [tex]b[/tex] in the formula of [tex]a^{2}+b^{2} = c^{2}[/tex] making the equation [tex]b^{2} = c^{2} - a^{2}[/tex] or [tex]b = \sqrt{ c^{2} - a^{2}}[/tex]

Given the provided information, this would be [tex]b^{2} = 10^{2} - 7^{2}[/tex] or [tex]b = \sqrt{ 10^{2} - 7^{2}}[/tex]

Simplifying it would be [tex]b = \sqrt{ 100-49[/tex] = [tex]\sqrt{51}[/tex]

The radical form would be [tex]\sqrt{51}[/tex]

While it's integer would be 7.14

Hope this helps!

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Let the third side =x

base² + altitude² = hypotenuse²

7² + x² = 10²

49 + x² = 100

       x² = 100 - 49

      x² = 51

     x = √51

Answer:

5

Step-by-step explanation:

The distance formula is:

[tex]d = \sqrt {\left( {x_2 - x_1} \right)^2 + \left( {y_2 - y_1} \right)^2 }[/tex]

We can plug in the given coordinates into the equation:

[tex]d = \sqrt {\left( {4 - 9} \right)^2 + \left( {-3 - (-3)} \right)^2 }\\d = \sqrt {\left( {-5} \right)^2 + \left( {-3+3} \right)^2 }\\d = \sqrt{25 + \left( {0} \right)^2 }\\d=\sqrt{25+0}\\d=\sqrt{25}\\d=5[/tex]

Answer:

[tex]\left[\begin{array}{cc}-0.2&0.4\\0.8&-0.6\end{array}\right][/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{cc}3&2\\4&1\end{array}\right] ^{-1} =\frac{1}{3*1-2*4} \left[\begin{array}{cc}1&-2\\-4&3\end{array}\right]=(-0.2)*\left[\begin{array}{cc}1&-2\\-4&3\end{array}\right]=\left[\begin{array}{cc}-0.2&0.4\\0.8&-0.6\end{array}\right]\\[/tex]

Answer:

$1620

Step-by-step explanation:

The area of the lawn is a trapezoid.

Area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]

where a and b are the parallel sides (bases) and h is the height

Therefore,

[tex]area=\dfrac12(15+12) \times 10 = 135 \ m^2[/tex]

If the price of sod is $12 per square meter, then

total cost = 135 x 12 = $1620

Answer:

Area:-

[tex]\\ \tt\hookrightarrow \dfrac{1}{2}(15+12)\times 10=1/2(27)(10)=13.5(10)=135m^2[/tex]

Now rate of cost is $12

Answer:

g.c.f = 3g²

Step-by-step explanation:

Breakdown:

3g² → 3 * g * g

9g³ → 3 * 3 * g * g * g

Therefore the gcf is 3g²

Answer:

228

Explain your answer:

Answer:

A = 228 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

here h = 12 and b₁ = 14, b₂ = 24 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (14 + 24) = 6 × 38 = 228 ft²

Answer:

56%

Step-by-step explanation:

This is percentage increase and its calculated with the formula:

C2 =     x2 - x1      x 100

              x1                1

where x2 = final value  (75 inches)

        x1  = initial value  (48 inches)

       c2 = relative value

pecentage increase = 100

   so we say,       75 - 48  x   100

                                48          1

27    x    100

48                          =  o.5625 x 100  = 56.25%.

approximated to the nearest percent becomes 56%

Answer: 9 units

Step-by-step explanation:

If you draw this one out, you should be able to notice that it is only a vertical distance it travels, which means that the difference in y-units should give you the distance.

Answer:

okay so anna bakes 333 batches of whatever amount of cookies but she be bakin a ton of cookies. Like we got a whole walmart filled with anna cookies.

so we are going to make this into an expression by saying 333n-888

okay so because anna is chronically obese, she eats 888 cookies. this means we subtract 888 cookies from 333(some number) amount of cookies.

your answer?

333n - 888

you can thank me later. Good luck.

Answer:

3c-8

Step-by-step explanation:

khan

Answer:

The initial height is the y-intercept of the graph

slope of the graph = -2

Jordon interprets the only the slope correctly.

Aral interprets the only the initial height correctly.

Step-by-step explanation:

Slope = change in y ÷ change in x = (0 - 12) ÷ (6 - 0) = -12 ÷ 6 = -2

So the slope of the graph = -2

by inspection, the y-intercept = 12

Therefore, the equation for the line is   y = -2x + 12

Jordon interprets the only the slope correctly.

Aral interprets the only the initial height correctly

Answer:

See below.

Step-by-step explanation:

45/0.5 can also be written as 45*2.

So, 45/0.5 is 90.

-hope it helps

Answer:

graph

Step-by-step explanation:

You would start at -2 then you would go down 3 and right 1, and then you keep doing it until you have no more graph.

Function represents a relationship between variables. The product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.

A function assigns the value of each element of one set to the other specific element of another set.

Given to us

k(x) = 2x² − 7

p(x) = x − 4

As the two equations are given to us, k(x) and p(x), and we need to find (k ∘ p)(x), And we know the product of two functions can be written as,

[tex](k \cdot p)(x) = k(x) \cdot p(x)[/tex]

therefore,

[tex]k(x) \cdot p(x)\\\\= (2x^2-7)(x -4)\\\\= 2x^3 - 8x^2 - 7x +28[/tex]

Hence, the product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.

Learn more about Function:

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Answer:

B

Step-by-step explanation:

q and u are the only congruent angles

Answer:

the explanation is in the diagram

if you noticed I multiplied the second equation all through by minus so the positive 9 turned negative when multiplied by minus so negative 14 + negative 9 gives negative 23

Step-by-step explanation:

32-2y=22

y=5 because 32 minus 10 is 22 and 2y is 10

7x + 3y= 105

same as

7x + 15 = 105

7x = 90

X = 90/7

X = 12.8571429

X+y= 17.8571429

brainliest?

Answer:

2850

Step-by-step explanation:

a data is a collection of numbers gathered to give some meaningful information

Answer:

[tex]data[/tex]

is the correct answer and have a great day bye

Step-by-step explanation:

[tex]kai6417[/tex]

c)29.75

Step-by-step explanation:

sin 24° =12.1/x

x= 12.1/sin24

x=29.75

Answer:

FOR PLATO USERS

The answer is D. g(x) = f(1/2x)

Step-by-step explanation:

A graph with f(x) = x^2 starts at point zero, just like the picture shown below, so we can only predict that the new function was stretched horizontally. The parent function, f(x) = x^2, has the following points

[tex]\left[\begin{array}{ccc}x&&y\\1&&1\\2&&4\end{array}\right][/tex]

terrible table i know (pretend its a table chart) but these are the points of a normal f(x) graph. The points of the NEW graph is:

[tex]\left[\begin{array}{ccc}x&&y\\2&&1\\4&&4\end{array}\right][/tex]

It appears that the x values in the parent function table are half of the x values in the new graph table. So, the new function would be

[tex]g(x)=f(\frac{1}{2} x)[/tex]

#platolivesmatter

1)

y = x + 4

5x + 3y = -4

5x + 3(x + 4) = -4

5x + 3x + 12 = -4

8x + 12 = -4

8x = -4 -12

8x = -16

x = -2

substitute x into the equation

y = -2 + 4

y = 2

Answers : x = -2 , y = 2

Answer:

1) [tex]{y,x}={2,-2}[/tex]

2) [tex]{y,x} = {-4,-2}[/tex]

Step-by-step explanation:

1) [tex]y=x+4 \\ 5x+3y=-4[/tex] <---------- given linear equations

Equations Simplified or Rearranged :

[tex]y - x = 4 \\3y + 5x = -4[/tex]

Graphic Representation of the Equations : PICTURE #1

[tex]x + y = 4 \\5x + 3y = -4[/tex]

Solve by Substitution :

// Solve equation [1] for the variable  y

[tex][1] y = x + 4[/tex]

// Plug this in for variable  y  in equation [2]

[tex]3*(x +4) + 5x = -4 \\ [2] 8x = -16[/tex]

// Solve equation [2] for the variable  x

[tex]8x = - 16 x = - 2[/tex]

// By now we know this much :

[tex]y = x+4\\ x = -2[/tex]

// Use the  x  value to solve for  y

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

Solution :

[tex]{y,x} = {2,-2}[/tex]

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

2) [tex]y=2x \\-8x-2y=24[/tex] <----- linear equations given

Equations Simplified or Rearranged :

[tex]y - 2x = 0 \\ -2y - 8x = 24[/tex]

Graphic Representation of the Equations : PICTURE #2

[tex]-2x + y = 0 \\\\-8x - 2y = 24[/tex]

Solve by Substitution :

// Solve equation [1] for the variable  y

[tex][1] y = 2x[/tex]

// Plug this in for variable  y  in equation [2]

[tex][2] -2*(2x) - 8x = 24\\ [2] - 12x = 24[/tex]

// Solve equation [2] for the variable  x

[tex][2] 12x = - 24 [2] x = - 2[/tex]

// By now we know this much :

[tex]y = 2x \\ x = -2[/tex]

// Use the  x  value to solve for  y

[tex]y = 2(-2) = -4[/tex]

Solution :

[tex]{y,x} = {-4,-2}[/tex]

Answer:

y = 3x + 60

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Use the TOA from SOH CAH TOA.

Your tan(C) is opposite (12) divided by adjacent (5).

Answer:

x⁴-3

Step-by-step explanation:

A= L * W

9x⁵-27x = 9x * L

9x(x⁴-3)= 9x * L

L = [9x(x⁴-3)] / 9x

L= x⁴ -3

Answer: 9

Step-by-step explanation: Root 18 can be broken down into root ( 9 times 2). 9 is a square root & can be taken out as its root. Root 18 equals 3 times root 2. Multiple both 12/root & 3 root 2 by root 2. Leaves 12 + 3 times 2 or 18. Now gotta take that root 2 we multiplied by back out. Break 18 into its parts, 9 times 2. Divide the 2 by root 2, gives you root 2. So 9 times root 2. Don't have to divide 9 as well, because they all the same type of operation, multiplication/division, no adding.

Answer:

Marco has $57.50 in total.

Step-by-step explanation:

17 x 10 = 170 quarters

170 x 0.25 = $42.50

11 x 10 = 110 dimes

110 x 0.10 = $11.00

8 x 10 = 80 nickels

80 x 0.05 = $4.00

True.

[tex]10^{10}[/tex] = 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.

      Its a factor which can be written in short and simplified form.

Answer:

6

Step-by-step explanation:

6 is the highest factor that will go into both 36 & 40. Leaving 6 groups of 6 for both ipads and laptops.