A firefighter is standing 33 feet away from a 45 foot tall building. The firefighter looks up and sees that a cat that is stuck on the top of the building and also notices a dog in a second flooor window that is 15 feet above ground. What is the angle of elevation of the cat?

Answer:

111°

Step-by-step explanation:

The polygon given is a heptagon having 7 sides.

Sum of interior angles of a 7-sided polygon = (n - 2)*180

= (7 - 2)*180

= 5*180 = 900°

Therefore:

126° + 158° + 120° + 125° + 121° + 139° + x° = 900°

Solve for x

789° + x° = 900°

Subtract 789 from each side

x = 900° - 789°

x = 111°

Answer:

18

Step-by-step explanation:

t = Number of trucks counted

c = Number of cars

Ratio of trucks to cars = [tex]\dfrac{t}{c}=\dfrac{3}{8}[/tex]

Total number of cars and truck = 66

[tex]t+c=66[/tex]

Divide the left and right side by the number of cars

[tex]\dfrac{t+c}{c}=\dfrac{66}{c}\\\Rightarrow \dfrac{t}{c}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{3}{8}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{11}{8}=\dfrac{66}{c}\\\Rightarrow c=66\times \dfrac{8}{11}\\\Rightarrow c=48[/tex]

Total number of cars is 48

so

[tex]t=66-c\\\Rightarrow t=66-48\\\Rightarrow t=18[/tex]

Total number of trucks counted is 18.

Answer:

1. yes, 3:2

2. no, population has an unproportional rate of change.

3. no, miles have an unproportional rate of change.

4. yes, 8:1

5. no, questions have an unproportional rate of change.

6. yes, 5:2

7. yes, 9:1

8. no, pounds have an unproportional rate of change.

9. no, days have an unproportional rate of change.

10. yes, 3:1

Answer: D

Step-by-step explanation:

When D is reflected over a horizontal line (think of it as a mirror on the ground with D on top of it), the reflection will show the letter D in the same way all over again.

I have attached a picture to show it. It's a tad unclear but I believe gets the point across.

Answer:

$6,524.96

Step-by-step explanation:

His quarter commission times four is the awnser

Answer:

Answer:

[tex]Remainder = 1956[/tex]

[tex]Quotient = 5[/tex]

Step-by-step explanation:

Given

[tex]Dividend = n[/tex]

[tex]Divisor = 10000[/tex]

[tex]Quotient = 1[/tex]

[tex]Remainder = 2011[/tex]

Required

Determine the quotient and remainder when the divisor is 2011

First, we need to determine the value of n.

The relationship between the given parameters is:

[tex]Dividend = Quotient * Divisor + Remainder[/tex]

Substitute values in the above:

[tex]n = 1 * 10000 + 2011[/tex]

[tex]n = 10000 + 2011[/tex]

[tex]n =12011[/tex]

So, we divide 12011 by 2011 and record the quotient and divisor:

[tex]\frac{12011}{2011} =[/tex]

The integer division of 12011 and 2011 is 5.

The remainder is calculated using:

[tex]Dividend = Quotient * Divisor + Remainder[/tex]

Where

[tex]Dividend = 12011[/tex]

[tex]Quotient = 5[/tex]

[tex]Divisor = 2011[/tex]

So, Remainder =:

[tex]Remainder = 12011 - 2011* 5[/tex]

[tex]Remainder = 12011 - 10055[/tex]

[tex]Remainder = 1956[/tex]

Hence:

[tex]\frac{12011}{2011} = 5\ Remainder\ 1956[/tex]

Answer:

x = 45°, y = 85°

Step-by-step explanation:

x = 45° ( Alternate angles )

y = 85° ( Corresponding angles )

Answer:

Table C)

Step-by-step explanation:

[tex]y=-x+3\\x+y=3\\Hence,\\Considering\ Table\ C\,\\Substituting\ x=-3,y=6\\6=3+3\\6=6 (LHS=RHS)\\\\Substituting\ x=0, y=3\\3=3 (LHS=RHS)\\\\Substituting\ x=3, y=0,\\0=-(3)+3\\0=0 (LHS=RHS)[/tex]

Answer:

the 3rd one :)

Step-by-step explanation:

Answer:

the slope is 1

the y-int is -2

Answer:

Slop=1  y-intercept=-2

Step-by-step explanation:

Answer:

The answer is 32.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

different definitions

Step-by-step explanation:

ordering numbers can be seen as arranging the numbers by a certain characteristics. for example, you could order numbers from least to greatest

comparing numbers can be seen as looking into two or more numbers rather than the entire group of numbers. for example, if there were the numbers 1, 2, 3, 4, 5, 6, you could say that 2, 4, 6, are even numbers

comparing amounts could be determined by worth but not the numerical values. for example, you could have a gallon of milk and a quart of orange juice but just by the size of the container, a gallon of milk is bigger and holds more than a quart of orange juice

Answer:

distributive

Step-by-step explanation:

they took the number outside of the parentheses and multiplied by the inside

Step-by-step explanation:

(5x4)/(6x4) - (1x6)/(4x6)

=20/24 - 6/24

= (20-6)/24

=14/24

=7/12

give me brainliest

Answer:

Step-by-step explanation:

Use this to help; starting out, this is coordinate plain, NOT TO SCALE.

Use the coordinates to figure out midpoints. If you don't know how to, look up the calculation method for it.

Sorry I couldn't help out more, gotta get back to essay.

Answer:

Letter B

Segment DF

Step-by-step explanation:

Answer: A

Step-by-step explanation:

2x + 9 = 15

2x = 6

x = 3

2x+9 = -15

2x = -24

x = -12

Answer:

Um... D

Step-by-step e xplanation:

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

We want the equation of the line perpendicular to y=-3.

Notice that y=-3 is a horizontal line.

Therefore, in order to be perpendicular, our new equation must be vertical.

We know that it must pass through the point (2, -1).

Since it must be vertical, it must pass through the x-coordinate.

Therefore, our line must be:

[tex]x=2[/tex]

It passes through (2, -1) and is a vertical line, so it’s perpendicular to y=-3.

Answer:

x=2

Step-by-step explanation:

Answer:

You line up the letters

Answer:

$25

Step-by-step explanation:

you just subtract 25 from 50 since 25 is half of 50.

Answer:

y=13.50x

Explanation:

Answer:

Step-by-step explanation:

stop the cappppppppppp

Answer:

(0, - 7 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(0, 7 ) → (0, - 7 )