Joseph made a scale drawing of an Italian restaurant. The scale he used was 1 millimeter : 6 meters. The restaurant's kitchen is 24 meters long in real life. How long is the kitchen in the drawing

Answer:

1/6

Step-by-step explanation:

3 out of 18 marbles are green. 3/18 can be reduced to 1/6 because both 3 and 18 are divisible by 3.

3/3=1

18/3=6

1/6

The probability of picking a green marble is 1/6.

To find the probability of picking a green marble, we need to consider the total number of marbles and the number of green marbles in the jar. The jar contains a total of 18 marbles, and out of these, there are 3 green marbles.

The probability of an event happening is calculated by dividing the number of favorable outcomes (in this case, the number of green marbles) by the total number of possible outcomes (the total number of marbles in the jar).

So, the probability of picking a green marble can be written as:

P(green marble) = Number of green marbles / Total number of marbles

Substituting the values, we get: P(green marble) = 3 / 18

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3. Dividing both 3 and 18 by 3, we get: P(green marble) = 1 / 6

Therefore, the probability of picking a green marble from the jar is 1/6. This means that if you randomly pick a marble from the jar, there is a 1 in 6 chance that it will be green.

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Answer:

scale factor = length of image

corresponding length of object

= 32

8

= 4

The scale factor of the dilation of the given object is 4.

The scale factor of dilation of an object is determined by taking the ratio of image length to corresponding object length.

The scale factor of the dilation of the object is calculated as follows;

[tex]S.D = \frac{32\pi \ cm^2}{8\pi \ cm^2} \\\\S.D = 4[/tex]

Thus, the scale factor of the dilation of the given object is 4.

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Answer:

I searched it up and took a screenshot

Step-by-step explanation:

Here they are:

Btw the 1st one is for 6x + 2y = 12 and the second one is for 5x + 2y = 8​.

Hope this helps! : )

Hello! answer: 276

I dont know for sure though cause the model looks different from what I've seen before so answer at your own risk but I'm pretty sure this is right Hope that helps!

Ok so what I did was base × height for the rectangles because thats the formula for those those I got 70 for both the left and right the left isn't showing but I'm assuming its there its 70 for both because 14 × 5 = 70 then for the bottom is 112 because 14 × 8 = 112 then the two triangles are 12 each because 8 × 3 = 24 then divide by 2 because thats what you do for triangles then I just add all these numbers up so... 70 + 70 + 112 + 12 + 12 = 276

Step-by-step explanation:

the mean is simply

8+9+3+9+3+8+4+4=48

48/8=6

mean= 6

the median is simply

3,3,4,4,8,8,9,9

4+8=12÷2=6

median=6

the mode is simply(I'm not sure of this answer)

3,4,8,9

the range is

9-3= 6

Answer:

49.59°

Step-by-step explanation:

Using trigonometry, we can obtain AVA's angle of elevation to UFO

Using the relation :

Tanθ = opposite / Adjacent

Tan θ = 195 / 166

θ = tan⁻¹(195÷166)

= 49.59°

Answer:

7

Step-by-step explanation:

The ratio of the similar triangles is

14       49

---- = ------

2          x

Using cross products

14x = 2*49

14x = 98

Divide by 14

14x/14 = 98/7

x =7

Answer:

Lose 2oz of water in 1st minute and loses 2oz of water in 2nd minute.  this is false because this will not equal 0, it will equal -4oz because it is losing a total of 4oz in 2 minutes. So the answer is FALSE

Answer:

Answer key

Step-by-step explanation:

https://www.lcps.org/cms/lib/VA01000195/Centricity/Domain/12543/trig%207.1%207.2%207.3%20day%20key.pdf

you have a brain, do it yourself

Answer:

1st option

Step-by-step explanation:

Given

5y - 7x = 7 ( add 7x to both sides )

5y = 7x + 7 ( divide the terms by 5 )

y = [tex]\frac{7}{5}[/tex] x + [tex]\frac{7}{5}[/tex]

Answer:

Step-by-step explanation:

volume=10 1/2 ×2 3/4 ×5

=21/2×11/4×5=1155/8=144 3/8 cubic inch

Answer:

Standard form = 606000

Scientific notation = 6.06*10^5

Step-by-step explanation:

Given the expression

(8.08×106)×(7.5×10−2)

This can also be expressed as;

(8.08*7.5) * (10^6*10^-2)

= 60.6*10^4

= 606000

express in scientific form;

606000

= 60.6*10^4

= 6.06*10^1*10^4

= 6.06 * 10^5

Answer:

132

Step-by-step explanation:

The range is the highest tempreature minus the lowest so

124--8

=124+8

=132

Answer:

Answer A is the correct answer.

Answer: Hello Luv.........

The answer is: " 27.5 inches " . The width of the television set is: "27.5 inches"

C. 12 inch's.  Sorry if i'm wrong.

Step-by-step explanation:

Please mark me brainest please.

Hope this helps.

Anna ♥

Where the above is square, the coordinates are: (4, 7). This is obtained by simply tracing the A-D in equal distance with B and C.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

A coordinate system is a framework for specifying the relative positions of objects in a specific region, such as an area on the earth's surface or the whole earth's surface. A geographic coordinate system determines locations on the world by using a three-dimensional spherical surface.

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Answer:

58 :)

Step-by-step explanation:

the two angles make up a right angle with is 90 degrees so 90 minus 32 is 58.

Answer:

SO we can see that x is part of a 90 degree angle

whats also included in the 90 degree angle alongside x is 32 so the equation will look like this

x+32=90

just solve from here

90-32=58 = x

hope that answers your question :)

Don't hesitate to comment if you are confused about something

Step-by-step explanation:

Answer:

14.76

Step-by-step explanation:

82 x .18 = 14 76 tip

Answer:

this may help you.look it once

Answer: [tex]5.52\ in.[/tex]

Step-by-step explanation:

Given

Height of cylindrical cake is [tex]h=5\ in.[/tex]

[tex]30^{\circ}[/tex] slice is removed

Volume of the slice is [tex]V=40\ in.^3[/tex]

Area of slice is

[tex]\Rightarrow \dfrac{30^{\circ}}{360^{\circ}}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{12}[/tex]

Volume of slice will be multiplication of area and height

[tex]\Rightarrow V=A\times h\\\\\Rightarrow 40=\dfrac{\pi r^2}{12}\times 5\\\\\Rightarrow \pi r^2=\dfrac{40\times 12}{5}\\\\\Rightarrow r^2=\dfrac{40\times 12}{3.142\times 5}\\\\\Rightarrow r^2=30.55\\\Rightarrow r=5.52\ in.[/tex]

Hence, the radius of the cake is [tex]5.52\ in.[/tex]

Answer:

3 feet = 36 inches

2 yards = 72 inches

Add them together to get:

108

Answer:

[tex]x = 3.7[/tex]

Step-by-step explanation:

We can find the side of the hypotenuse by applying pythagorean theorem.

[tex] {5}^{2} + {5}^{2} = {x}^{2} [/tex]

[tex]25 + 25 = {x}^{2} [/tex]

[tex]50 = {x}^{2} [/tex]

[tex]x = 5 \sqrt{2} [/tex]

Now we can apply pythagorean theorem on the other triangle

[tex](5 \sqrt{2} ) {}^{2} + {x}^{2} = {8}^{2} [/tex]

[tex]50 + {x}^{2} = 64[/tex]

[tex] {x}^{2} = 14[/tex]

[tex]x = \sqrt{14} [/tex]

[tex]x = 3.7[/tex]

Answer:

Step-by-step explanation:

use Pythagoras's   theorem  to find the hypontenuse of the isosceles triangle on the right side.

hyp = sqrt [ 5^2 + 5^2 ]

hyp = sqrt [ 50 ]

hyp = 7.0710678

now we know the adjacent side of the triangle on the left , since it's the same as the hypotenuse of the triangle on the right.

SOH CAH TOA ( to remember how the trig funct. fit on triangles)

CAH  Cos(Ф) = adj / hyp

cos(Ф) = 7.0710678 / 8

Ф = arcCos(  7.0710678 / 8 )

Ф = 27.8855668°

TOA  Tan(Ф) = x / 7.0710678

Tan( 27.8855668° ) =  x / 7.0710678

7.0710678 * Tan( 27.8855668° ) = x

3.741657 = x

x = 3.7  ( to the nearest 10th )

Answer:

X. 120 Y. 30 Z. 36.5

Step-by-step explanation:

X. 360-107-133= 120

Y. Length of AB is equal to 120, so angles y and C are equal to 60. 60/2= 30

Z. 133+ 30= 163. 180-163= 17. Angle A and Z equal to 53.5. 53.5-17= 36.5