a triangle with an area of 202.5 has a height that measures 15 find its base

The tree diagram shows all the possible outcomes for 2 spins C is correct.

We have given that,

The 3 sections of a game spinner are numbered 1 to 3.

We have to determine, which tree diagram shows all the possible outcomes for 2 spins.

There are 3 options the first time and after that,

There are 3 options for each of those.

So it would be C.

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Answer:  

translation 3 units down then a reflection across x-axis

Step-by-step explanation:

In the given figure, we can see that Δ ABC is vertically 3 units away from the x axis .

So we translate  Δ ABC by 3 units down and then reflect it across x axis to get ΔDEF.

The correct sequence of transformations that shows that △ABC is similar to △A′B′C′ is:

translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.

In this case, we can see that a dilation with respect to the origin by a scale factor of 12 would stretch or shrink the triangle, but would not change the angles.

Therefore, we need to apply a translation first to move the triangle into the correct position.

So, we first translate the triangle 2 units left, which does not change its shape or size, but moves it to a position where it can be more easily compared to the other triangle.

Then, we apply a dilation with respect to the origin by a scale factor of 12, which stretches or shrinks the triangle but does not change its shape.

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Answer: First and third

Step-by-step explanation:

In the given pictures, the first and third picture are representing function  because each input corresponds to exactly one output.

In second and fourth picture one input value corresponds to two output values.

i.e. a corresponds to 25 and 55 and x corresponds to 7 and 5 in output.

Jeff has used 11,000 gallons of water. We find this by subtracting the base charge from the total bill and dividing it by the cost per 1000 gallons.

The water bill that Jeff receives is made up of a base charge of $12.00, plus an additional charge of $1.50 for each 1000 gallons of water used. From the given information, we know that Jeff's bill came to $28.50. To find out how much water Jeff used, we first need to subtract the base charge from the total bill which gives us $16.50. Now we divide this number by the cost per 1000 gallons, which is  $1.50. Therefore, we can say that Jeff used 16.50 ÷ 1.50 = 11 units of water. Since 1 unit refers to 1000 gallons, Jeff has used 11,000 gallons of water.

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the actual right answer is c.

ANSWER

The length of the altitude is [tex]3\sqrt{3}[/tex] units

EXPLANATION

The altitude of a triangle is the vertical height of the triangle.

From the diagram the altitude is [tex]a[/tex]

Method 1: We can use Pythagoras theorem to find [tex]a[/tex]

[tex]6^2=a^2+3^2[/tex]

[tex]6^2-3^2=a^2[/tex]

[tex]36-9=a^2[/tex]

[tex]27=a^2[/tex]

We take the square root of both sides,

[tex]\sqrt{27}=a[/tex]

[tex]\sqrt{9\times3}=a[/tex]

[tex]\sqrt{9} \times \sqrt{3}=a[/tex]

[tex]3\sqrt{3}=a[/tex]

Method 2 Using Trigonometry

[tex]sin(60\degree)=\frac{a}{6}[/tex]

[tex]6sin(60\degree)=a[/tex]

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

[tex]a=3\sqrt{3}[/tex]

Bloomingdale's marks up mink coats [tex]\[/tex]3000. The mink coats cost [tex]\[/tex]6000.

Cost, in the context of pricing and business, refers to the amount of money or resources required to produce or acquire a product or service. It contains several expenses associated with manufacturing, production, materials, labor, overhead costs, and other costs incurred in the process.

Let's assume the cost of the mink coats is represented by the variable "C".

According to the given information, Bloomingdale marks up the mink coats by [tex]\[/tex]3000, which represents a 50[tex]\%[/tex] markup on the cost.

A 50[tex]\%[/tex] markup means the markup amount is 50[tex]\%[/tex] of the cost. In other words, the markup amount is 0.5C.

Let's set up the equation to represent this information,

C + 0.5C = Cost + Markup

1.5C = Cost + [tex]\[/tex]3000

Since the markup is $3000, we can write the equation as,

1.5C = C + [tex]\[/tex]3000

To find the cost of the coats, it is needed to solve for C.

1.5C - C = C - C + [tex]\[/tex]3000

0.5C = [tex]\[/tex]3000

Next, let's isolate C by dividing both sides of the equation by 0.5,

[tex]\frac{0.5C}{ 0.5}[/tex] = [tex]\frac{3000}{0.5}[/tex]

C = [tex]\[/tex]6000

Therefore, the cost of the mink coats is [tex]\[/tex]6000.

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The measure of L to M on the map is 5.8 cm . The actual distance in kilometers is 2.9km and the drawing distance corresponding to 4.5km is 9 cm.

1.)

The distance between points L and M in the drawing is 5.8 cm

2.)

Using the scale given

1cm on the map represents 50,000 cm on ground

1 cm = 50000

5.8 cm = x cm

x = 5.8 × 50000

x = 290000 cm

converting to kilometers:

100000 cm = 1 km

290000/100000

= 2.9 km

Hence, the distance in kilometers is 2.9 km.

3.)

Given an actual distance of 4.5 km

4.5 km = 450000 cm

1 cm = 50000 cm

x cm = 450000

50000x = 450000

x = 450000/50000

x = 9 cm

The price per gallon of gasoline is the cost of one gallon of gasoline which can be obtained by dividing the cost by the number gasoline purchased. Hence, the price per gallon of gasoline ls $1.15

Amount of gasoline purchased = 6 gallons

Total cost = $6.89

The price per gallon of gasoline can be calculated thus :

Price per gallon = $6.89 ÷ 6 = $1.148

Therefore, the price per gallon of gasoline ls $1.15 (rounded to the nearest tenth)

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Answer:

The average depth of the water will be 0.155 kilometers or 155 meters.

Step-by-step explanation:

The speed at which the tsunami waves travel is [tex]S=356\sqrt{d}[/tex]. Here S is the speed in kilometers per hour and d is the average depth of the water in kilometers.

Now, it is given that the wave travels at the speed of [tex]S=140\rm km/hr[/tex].

So, the average depth of the water will be,

[tex]S=356\sqrt{d}\\140=356\sqrt{d}\\\sqrt{d}=0.393\\d=0.155\rm km[/tex]

Therefore, the average depth of the water will be 0.155 kilometers or 155 meters.

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Answer: c

Step-by-step explanation:

0.155 km