You place a 16 foot ladder against a building. The angle that the ladder forms with
the ground is 60 degrees. How far from the base of the building is the bottom of
the ladder? round to the nearest foot.

Answer:

The intersect point 4,3 H

Step-by-step explanation:

Hope this helps. Have a fantastic day!

9514 1404 393

Answer:

  $25

Step-by-step explanation:

Let p represent the monthly payment. There are 5 of them, so the amount of their total is 5p. That, together with the down payment, makes up the entire cost of the system.

  5p +25 = 150 . . . . an equation representing the relationships

__

To solve this, subtract 25 and divide by 5.

  5p = 125

  p = 125/5 = 25

Each monthly payment is $25.

Answer:

n= -3.5

Step-by-step explanation:

n/7 - 12 = 5n +5

+12            +12

n/7 = 5n+17

*7      *7

n = (5n+17)*7

n = 35n + 119

-35n    -35n

-34n = 119

/-34     /-34

n = -3.5

Answer:

[tex]A_n = 7(-6)^{n-1}[/tex]

Step-by-step explanation:

Key skills needed: Explicit formula, Geometric sequence

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

[tex]a_n = a_1(r)^{n-1}[/tex]

--> r means the constant (or common ratio) that is being multiplied.

--> [tex]a_1[/tex] means the first term

--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).

--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).

--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)

This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]

Hope you understood and have a nice day!! :D

Answer: Profit for first boy =  $14

Profit for second boy =  $21

Step-by-step explanation:

Given : Ratio of profits = 2:3

Let profit for one boy = 2x and for another boy = 3x

Since combined profit = $35

Then, 2x+3x= 35

⇒ 5x= 35

⇒ x= 7  [divide both sides by 5]

Profit for first boy = 2 (7)= $14

Profit for second boy = 3 (7)= $21

It is a right triangle. The distance is the hypotenuse of the triangle.

Use the Pythagorean theorem:

Distance = sqrt(3^2 + 2^2)

Distance = sqrt( 9 + 4)

Distance = sqrt(13) (exact distance)

As a decimal sqrt(13) = 3.60555

Answer:

1. 20

2. 34

Step-by-step explanation:

Answer:

Ok I'll help ya out

Here you go

Don't forget to give thanks

[tex]f(x) = \dfrac{1}{2x} \\~\\~\\f(-2) = \dfrac{1}{2\cdot(-2)} \\~\\~\\f(-2) = -\dfrac{1}{4} \\~\\~\\f(-2) = -0.25[/tex]

Answer:

x = -4

Step-by-step explanation:

6x + 29 = 5

     +29      -29

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

6x = -24

÷6      ÷6

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

x = -4

6(-4) = -24 + 29 = 5

Answer:

Δ······∵······∴······Hello Friend······∴······∵·······Δ

Your answer should be:

362.495 Kilometers

Step-by-step explanation:

I hope this helped. Please tell me if it didn't.

(If it didn't I'm sorry :( )  

(Brainliest would be highly appreciated)

Answer:

It is J

Step-by-step explanation: 19.5 times 7 is 136.5

Answer:

Step-by-step explanation:

To find the sum of an interior angle of a polygon, you have to follow these steps:

Interior angle= ( n - 2 ) ×180° all over n

So interior = ( 32 - 2 ) × 180° all over 32

Interior = 30 × 180 all over 32

Therefore your interior angle should be 168.75°

Answer:

y=4x-2

Step-by-step explanation:

Answer:

angle 3 = 27 degrees

Step-by-step explanation:

Answer:

Angle 3 = 27

Step-by-step explanation:

Because the interior angles of a triangle always add up to 180 degrees, you can do 180 - 82 - 71 = 27 degrees for the third angle.

Answer:

Area = 90

Equation:

See attached image for equation.

Answer:

the Peter age be 27

Step-by-step explanation:

Let assume peter be

And, then mary is 2p ÷ 3

So

The equation would be  

2p ÷ 3  - 2 = 1 ÷ 2 (p + 5)

4p - 12 = 3p + 15

p = 27

So Peter age be 27

And, the mary age is

= 2 (27) ÷ 3

= 18

Hence, the Peter age be 27

Answer: 7 is the opposite of negative 7

Step-by-step explanation:

Hope this helps :)

Answer:

x = 1

Step-by-step explanation:

1/2(8x-6) = -1/3(9x-12)   distribute

4x-3 = -3x+4                 add 3x to both sides

7x-3 = 4                        add 3 to both sides

7x = 7                            divide by 7 on both sides

x = 1

Answer:

16 cards.

Step-by-step explanation:

Answer:

Someone do the Question!!!  

Step-by-step explanation:

Answer:  35,000

Step-by-step explanation:

Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.

[tex] - 10 - ( - 2) = \boxed{ - 8}[/tex]

[tex] - 8 - ( - 2) = \boxed{ - 6}[/tex]

[tex] - 6 - ( - 2) = \boxed{ - 4}[/tex]

[tex] - 4 - ( - 2) = \boxed{ - 2}[/tex]

[tex] - 2 - ( - 2) = \boxed{0}[/tex]

[tex]0 - ( - 2) = \boxed{2}[/tex]

[tex]2 - ( - 2) = \boxed{4}[/tex]

[tex]4 - ( - 2) = \boxed{6}[/tex]

[tex]6 - ( - 2) = \boxed{8}[/tex]

-10, -8, -6, -4, -2, 0, 2, 4, 6, 8

#CARRYONLEARNING

Answer:

root 50

Step-by-step explanation:

Pythagorean theorem d is the hypotenuse

Answer:

5/2

Step-by-step explanation:

/50 if you do a2+b2=c2 and c=d

Answer:

its C

Step-by-step explanation:

Answer:did you get the answer?

Step-by-step explanation:

Answer:

I dont know that try asking one of the tutors one here