Batman, who is having a slow year for crime, has resorted to saving cats from very tall buildings. Our fearless 6 foot tall hero is 40 feet from the the Petsmart building the cat was trying to break in to, in order to get his paws on the pumpkin spice cat nip. Batman sights the top of the building at a 30° angle, how high is the building?


please answer in square root form

Answer:

Volume of sphere is 2,304 pi ft^3

Surface area of sphere is 576 pi ft^2

Step-by-step explanation:

When we talk of a great circle, we are talking of a circle around the sphere that has the same radius as the sphere.

Mathematically the area of the great circle is pi * r * r

now pi * r^2 = 144 pi

divide both sides by pi

r^2 = 144

r^2 = 12^2

since power are equal, we equate bases and the radius of the circle is thus equal to 12 feet

Now to calculate the volume of the sphere,

We know that the volume of a sphere is ;

V = 4/3 * pi * r^3

V = 4/3 * pi * 12^3

V = 4 * pi * 4 * 12^2 = 2304 pi ft^3

The surface area of the sphere is mathematically equal to 4 * pi * r^2

= 4 * pi * 12^2 = 576 pi ft^2

Answer: i think about 4800 liters

Step-by-step explanation:

600 feet/ by 8 liters of sq ft is 4800

Answer:

a)Decompose the figure into two rectangles and add the areas.

Step-by-step explanation:

i did the unit test and got a 100 and also the two areas would added together would equal the area through the entire figure hopes this helps;)

Answer:

A. B. C. Are all the correct shapes.

Step-by-step explanation:

Answer:

Option B. y = 14x - 3.5

Number of wins for the team will be 24.5

Step-by-step explanation:

Since line of best fit passes through two points (0.25, 0) and (0.75, 7)

Let the equation of the line of best fit is, y - y' = m(x - x') + c

Here 'm' = Slope of the line

              = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

              = [tex]\frac{7-0}{0.75-0.25}[/tex]

              = [tex]\frac{7}{0.5}[/tex]

          m = 14

Equation of the line of best fit passing through a point (0.25, 0) will be

y - 0 = 14(x - 0.25)

y = 14x - 3.5 [Option B]

Now number of wins for a team that scores 2 goals per match will be,

For x = 2

y = 14x - 3.5

y = 14×2 - 3.5

  = 28 - 3.5

  = 24.5 wins

Therefore, number of wins for the team will be 24.5

Answer:

B on khan and 24.5

Step-by-step explanation:

Answer:

The mode is 4 and the median is 5.4     read the explantion :DDD

Step-by-step explanation:

It super easy but u get there for the mode you have to put it least to greatest and the find the one that occurs the most and for the median u have to add all the number up and divid it by how many numbers they are like 5+7+3+8+4 is 27 divied by 5 is 5.4 i hope i help you :DDDD u need to know and understand it.

Degree of length=1

Degree of width=1

Degree of height=3

Degree of volume=5

The [SUM] of the degree of each factor is the degree of the product

Why does this make sense Answer is C

Since a linear function has a degree of 1, hence the degree of the length, width and height is 1. The degree of the volume is 3

The degree of an equation is the power of the leading variable.

Given the following measures

length = 4x - 1

width = x

height = x -3

Since a linear function has a degree of 1, hence the degree of the length, width and height is 1. The degree of the volume is 3

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Answer:

153.9 m² (nearest tenth)

Step-by-step explanation:

When the angle is measured in degrees, the formula of the area of sector is:

[tex] \frac{θ°}{360°} \times \pi {r}^{2} [/tex]

Given: r= 14m, θ= 90

Area of sector

[tex] = \frac{90°}{360°} \times 3.14 \times {14}^{2} \\ = 153.86 \\ = 153.9 \: m^{2} \\ (nearest \: tenth)[/tex]

Answer:

Step-by-step explanation:

when operating with two negative signs, the signs change to positive. so, the question becomes;

4/7 + 3/5

find LCM of the denominators then calculate, or just use a calculator.

the answer is 41/35 or in mixed fraction = 1 and 6/35

Answer: A degree

Step-by-step explanation:

Answer:

I also think it is a degree like the other guy

Step-by-step explanation:

Answer:

-n - 2

Step-by-step explanation:

3n+2(-2n-1)

= 3n -4n -2

= -n - 2

SI = P × R × T

SI = 1000 × 6/100 × 2 = $120

Answer:

351

Step-by-step explanation:

Complete question :

Vanilla= 36

Chocolate=21

Strawberry=24

Chocolate Chip=39

SOLUTION:

39 chocolate chip to 200 students = x chocolate chip to 1800 students

39/200 = x / 1800

Solving for 'x'

(200)(x) = (39)(1800)

200x = 70200

x = 70200/200

x = 351

OR

39 out of 200 picked chocolate chip

therefore, 39/200 = 0.195 = 19.5%  ( 32.5% chose chocolate chip)

19.5% of 1800 = 0.195(1800) = 351 students

Your collection's mean answers

median - 1930

range - 54

interquartile range - 50

mean absolute devitation - 23.75

Your friends collection mean answers

median - 1929.5

range - 15

interquartile range - 7

mean absolute devitation - 3.5

Would really appreciate a brainliest!!

my second opinion would be you are correct, its b

Answer:

61 : 60

Step-by-step explanation:

Well to make a ratio, you just have to have David time : Mark time

So if you convert Mark's time into minutes, it is 60 minutes

61 : 60

That's the simplest form.

Answer:

ratio of David's time to Mark's time = 61/60 = 61:60 = 61 to 60

Step-by-step explanation:

A ratio is a way of comparing numbers by dividing one number by the other. In order to write a ratio, both numbers have to be in the same units.

David takes 61 minutes to do a task.

Mark 1 hour to do the same task. 1 hour = 60 minutes.

You are comparing David's time to Mark's time.

The ratio of David's time to Mark's time is 61 minutes to 60 minutes.

ratio of David's time to Mark's time = 61/60 = 61:60 = 61 to 60

Answer:

BOF

Step-by-step explanation:

I am not sure but if you line it up you'll get it

Answer:

angle BGF

Step-by-step explanation:

angle BGF is vertically opposite to angle DGE

Answer: 2.5 cm

Step-by-step explanation:

5/2=2.5

The radius is half the diameter to just divide the diameter by 2 to find the radius.

Answer:

Pine would be 108.5 Redwood would be 116.5.

Step-by-step explanation:

Since they both grow the same amount, we just add their original number by 73.5.

Answer:

To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

To find the total surface area of a figure, we need to add all the areas of every surface and add them.

What is the surface are?

The surface area of a figure is the total area of the outside of the figure.

If the surface area of a particular figure is just only one type (ex: sphere), then the calculation of the surface area will be easier.

If the surface of a figure consists of different types of geometrical figure(ex: cone), then we need to find the area of each and then add them.

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Answer:

34 cm; 48 cm^2

Step-by-step explanation:

5+5+12+12=10+24=34

12(4)=48

Answer:

150 pages

Step-by-step explanation:

76%

Write as a decimal by dividing by 100

76% / 100 = 0.76x

0.76

Add a decimal (x)

0.76x

Set equal to 114 (the page Mary is at)

114 = 0.76x

Divide 0.76 by 114

x = 150

There are 150 pages in the book

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

150 pages. Mark me brainiiest.✌✌

Step-by-step explanation:

76%

Write as a decimal by dividing by 100

76% / 100 = 0.76x

0.76

Add a decimal (x)

0.76x

Set equal to 114 (the page Mary is at)

114 = 0.76.

Divide 0.76 by 114 x = 150.

There are 150 pages in the book.

Answer:

fgxy

Step-by-step explanation:

(-1)(-fg)(-xy)

(1fg)(-xy)

-1fgxy

fgxy

Answer:

Each pizza costs $12.

Each drink costs $2.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the cost of each pizza.

y is the cost of each drinks.

The Talbot family got 2 pizzas and 4 drinks for $32.

This means that [tex]2x + 4y = 32[/tex]

The Martinez family got 3 pizzas and 8 drinks for $52.

This means that [tex]3x + 8y = 52[/tex]

Using the addition method, multiplying the first equation by -2.

-4x - 8y = -64

3x + 8y = 52

-4x + 3x - 8y + 8y = -64 + 52

-x = -12

x = 12

Each pizza costs $12.

2x + 4y = 32

2x + 4y = 32

4y = 32 - 2x

4y = 32 - 2*12

4y = 8

y = 2

Each drink costs $2.

Answer:

2 m.

Step-by-step explanation:

T = 8.0 s is the period of the pendulum

g = 9.81 m/s^2 is the acceleration due to gravity

Answer:

10

Step-by-step explanation:

[tex]11430\cdot 14 = 160020[/tex] ounces

[tex]160020\div 16=10001.25\approx 10[/tex] tons.

Hope this helps!

The required weight that the truck carried in ton is 5.

In the counting or finding data problem we first calculate the value of unity element then further add or multiply the next ones

Here we have given truck carry

11,430 bottles

If each bottle weight = 14 ounce

Therefore total weight of 11,430 bottles is = 11,430x14 = 160020 ounce

Also we have

1 ton = 32000 ounce

Or 1 ounce = [tex]\frac{1}{32000}[/tex] ton

Therefore the required weight in ton of total weight 160020 ounce is

= [tex]\frac{160020}{32000}[/tex]

= 5

This is the conclusion to the answer.

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Answer:

10 hours

Step-by-step explanation:

We can actually solve this problem simply as if it were an equation instead of an inequality. We have:

15 + 8h ≤ 95

Subtract 15 from both sides:

8h ≤ 95 - 15

8h ≤ 80

Divide by 8 from both sides:

h ≤ 80/8

h ≤ 10

So, the number of hours cannot exceed 10, which means the maximum number of hours Susie can rent is 10 hours.

Answer:

the answer is attached to the picture

Answer:

-0.25 or -1/4

Step-by-step explanation:

Remember slope is : change in y's over change in X's

Answer:

<KMN=5°

Step-by-step explanation:

<K+<L=<KMN

81+4x=13x+36

81-36=13x-4x

45=9x(divide both sides by 9)

x=5°=<KMN

Answer:

Step-by-step explanation:

To find the vertex of this parabola, "complete the square:"  Rewrite y = 4x2 - 12x + 9 in the form y = 4(x - h)^2 + k:

y = 4x^2 - 12x + 9  =>  y = 4(x^2 - 3x) + 9.

Now complete the square of x^2 - 3x:  Take half of -3 and square the result, obtaining (-3/2)^2, or 9/4.  Add 9/4 to x^2 - 3x and then subtract 9/4 from the result:  We get x^2 - 3x + 9/4 - 9/4.  Substitute this result back into

y = 4(x^2 - 3x) + 9:  y = 4(x^2 - 3x + 9/4 - 9/4) + 9

and then rewrite the perfect square x^2 - 3 + 9/4 as the square of a binomial:

                                 y = 4(x - 3/2)^2 - 9/4) + 9.  This simplifies to:

                                 y = 4(x - 3/2)^2 + 0.

Thus, the vertex is at            (3/2, 0) and the axis of symmetry is x = 3/2.  This agrees with Answer B.