If a 20 foot ladder makes a 58° with the ground, how many feet up a wall will
the ladder reach? Round your answer to the nearest tenth

Answer:

73.67

Step-by-step explanation:

Answer:

$27

Step-by-step explanation:

0.50 * 60 = 30

60 + 30 = 90

0.30 * 90 = 27

Answer:

m <5 = 65°

m<8 = 115°

Step-by-step explanation:

m<2= m<5 = 65° (vertically opposite angles are equal)

m<5 + m<4 = 180 (co-int angles, parallel lines)

65+ m<4 =180

m<4 = 115°

Therefore

m<4=m<8 = 115° (vertically opposite angles are equal)

Answer:

m<5 = 65 degrees  m<8 = 115 degrees

Step-by-step explanation:

m<2 = 65 degrees

m<2 = m<5 so

m<5 = 65 degrees

A line is 180 degrees, so

180 degrees - 65 degrees = 115 degrees

m<8 = 115 degrees

Answer:

4:120, 6:180, 8:240

each time it's 30 x the amount of bags, it's 30 pounds a bag

Step-by-step explanation:

Answer:

X=7 X=-1

Step-by-step explanation:

4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.

(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those

X=7 X=1 equating those parenthesis to 0 gives you that

Answer:

add the numbers first and divide to 3x

Answer:

39

Step-by-step explanation:

3(6+7)

=18+21

=39

or

3(6+7)

=3(13)

=39

Answer:

the process of being eroded by natural agents such as wind, water, ice, etc.

this process moves sediment or material from one place to another

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

x + y cannot be equal to both -3 and 7, so there is no solution.

Answer: 47

Step-by-step explanation:

I just worked it out and checked my work with a calculator :)

Actual distance = distance on map x the scale:

3 inches x 15 miles per inch = 45 actual miles.

Answer:

Leorio, Gon, Killua, Kurapika, Hisoka, and Ging

Step-by-step explanation

Answer:

It's 21976 Gon! >:3

well- in my opinion i think its u, lol me killua, Leorio //side note: ofc the doctor//coOk kURAPIKA, HISOKA- //bUNGee gUM// i dont gaf about my brother illumi so the lost father //gINg// is it >:3

Step-by-step explanation:

:3

Answer:

D

Step-by-step explanation:

Well, I can tell the answer just by looking:

- The shape moved counterclockwise by one quadrant

- The shape got SMALLER

- Rotations go counterclockwise. So that's a 90 degree rotation.

- Shape gets smaller so it's dilated by a number less than 1. Dilate by 1/2

Answer:

P=28

Step-by-step explanation:

a=bh

24= 12x

24 divided by 12=2

12 +2+12+2= 28

Answer:

The answer is 90 degrees.

Step-by-step explanation:

If you want an explination, I'm more than happy to explain.

Answer:x=90

Step-by-step explanation:

90

Answer:

A- (-2,-2)

Step-by-step explanation:

If we move the point 3 right, then we add 3 to the x-coordinate and get -2. If we move down 4, we are subtracting 4 from y-coordinate and get -2. So, our coordinate would be (-2,-2).

Hope this helped.

Answer:

60,000

Step-by-step explanation:

I may be wrong hope not.

Answer:

The answer is 5f + 6g +12

Step-by-step explanation:

Answer:

5f + 6g +12

Step-by-step explanation:

Simplify the expression.

Answer:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    7/n-(8/7)=0

Step by step solution :

STEP 1:

           8

Simplify   —

           7

The equation at the end of step

1:

 7    8

 — -  —  = 0

 n    7

STEP 2:

           7

Simplify   —

           n

The equation at the end of step

2:

 7    8

 — -  —  = 0

 n    7

STEP 3:

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       n

     The right denominator is :       7

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

7 0 1 1

Product of all

Prime Factors  1 7 7

                 Number of times each Algebraic Factor

           appears in the factorization of:

   Algebraic    

   Factor      Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

n  1 0 1

     Least Common Multiple:

     7n

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Denominator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 7

  Right_M = L.C.M / R_Deno = n

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      7 • 7

  ——————————————————  =   —————

        L.C.M              7n  

  R. Mult. • R. Num.      8 • n

  ——————————————————  =   —————

        L.C.M              7n  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7 • 7 - (8 • n)     49 - 8n

———————————————  =  ———————

      7n              7n  

The equation at the end of step

3

:

 49 - 8n

 ———————  = 0

   7n  

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now, to get rid of the denominator, Tiger multiplies both sides of the equation by the denominator.

Here's how:

 49-8n

 ————— • 7n = 0 • 7n

  7n  

Now, on the left-hand side, the  7n  cancels out the denominator, while, on the right-hand side, zero times anything is still zero.

The equation now takes the shape :

  49-8n  = 0

Solving a Single Variable Equation:

4.2      Solve  :    -8n+49 = 0

Subtract  49  from both sides of the equation :

                     -8n = -49

Multiply both sides of the equation by (-1) :  8n = 49

Divide both sides of the equation by 8:

                    n = 49/8 = 6.125

One solution was found :

n = 49/8 = 6.125

Step-by-step explanation:

hope this helps...

The solution of equation [tex](7^2)^4=n^8[/tex] is n = 7

"It is a mathematical statement which consists of variables and constants, and some algebraic operations."

"It is a mathematical statement which consists of equal symbol between two mathematical statements."

For given question,

We have been given an equation [tex](7^2)^4=n^8[/tex]

Consider an algebraic expression on the left side of the above equation.

[tex](7^2)^4[/tex]

Using the properties of exponents we can write it as,

[tex](7^2)^4\\=7^{(2\times 4)}\\=7^8[/tex]

So, given equation becomes,

[tex]7^8=n^8[/tex]

Since power is same, base of above exponents is equal.

⇒ n = 7

Therefore, the solution of equation [tex](7^2)^4=n^8[/tex] is n = 7

Learn more about the exponents here:

https://brainly.com/question/12158740

#SPJ2

9514 1404 393

Answer:

Step-by-step explanation:

Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.

The next term is 15.

_____

The sequence of triangular numbers is given by the explicit formula ...

   an = n(n+1)/2

__

Finding the Formula

The sequence of first differences is ...

  3 -1 = 2

  6 -3 = 3

  10 -6 = 4

And the sequence of second differences is ...

  3 -2 = 1

  4 -3 = 1

These are constant, indicating the sequence is described by a polynomial function of 2nd degree.

There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.

n = 1

  a1 = 1 = a(1)^2 +b(1) + c

n = 2

  a2 = 3 = a(2)^2 + b(2) +c

n = 3

  a3 = 6 = a(3)^2 +b(3) +c

To solve, we can subtract each equation from the next:

  a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)

  2 = 3a +b

and

  a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)

  3 = 5a +b

Now we can subtract the first of these equation from the second:

  (3) -(2) = a(5 -3) +b(1 -1)   ⇒   1 = 2a   ⇒   a = 1/2

Then ...

  2 = 3(1/2) +b

  1/2 = b

  1 = a + b + c   ⇒   1 = 1/2 + 1/2 + c   ⇒   c = 0

So, the quadratic function describing the sequence of triangular numbers is ...

  an = (1/2)(n^2 +n)

  an = n(n+1)/2

Answer:

- 1,503,050

Step-by-step explanation:

Given that the sum of arithmetic sequence =

n/2[2a + (n-1)d]

Where;

n = 575

a = -4910

d = a i - a i-1  = 8

Substituting values;

575/2 [2(-4910) + (575 -1) 8]

575/2  [(-9820) + 4592]

=  - 1,503,050

Answer:

Complementary

x = 55

Step-by-step explanation:

Complementary angles add up to 90°, while supplementary angles add up to 180°.

In this situation, the two angles add up to 90° (the little box means that an angle is a 90° angle) So, the angles are complementary.

Now, we can write this equation.

x + x - 20 = 90

Simplify.

2x - 20 = 90

2x = 110

x = 55

Just in case, let's check the answer.

Substitute x = 55 into (x + x - 20 = 90)

55 + 55 - 20 = 90

110 - 20 = 90

90 = 90

This is true, so x = 55 is correct.

I hope this helps! Feel free to ask any questions!

Step-by-step explanation:

Divide each term in 3x = 1 by 3

3x/3 = 1/3

cancel the common factor of 3

x = 1/3

decimal form

0.3

Answer:

192

Step-by-step explanation:

8²+x²=16²

x=y

[tex]x = \sqrt{192} [/tex]