1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sunny_sXe [5.5K]
3 years ago
10

A 9.0 ladder rests against the side of a wall. The bottom of the ladder is 1.5 meters from the base of the wall. Determine the m

easurement of the angle between the ladder and the ground.
Mathematics
1 answer:
maria [59]3 years ago
8 0
Well we know that the 9.0 meter ladder is the hypotenuse And it is a right triangle with base of 1.5 meters. we have the adjacent and the hypotenuse. which is cosine. So:
cos (a) = adjacent/hypotenuse
cos (a) = 1.5/9.0
cos (a) = 1 / 6
a = cos^-1 (1 / 6)
a = 80.4 degrees
You might be interested in
david quiere saber cuanto requiere invertir mensualmente para obtener $30,760.08 durante 6 meses si los invierte con el 12% capi
Akimi4 [234]

Answer:

A = $32,652.44

Step-by-step explanation:

Given: Principal (P) = 30,760.08, Annual Rate (R) = 12%, Time (t in years) = 0.5

To find: How much David needs to invest monthly

Formula: A = P(1 + r/n)^n^t

Solution: To find, simply add principal + interest

First, convert R as a percent to r as a decimal

r = R/100

r = 12/100

r = 0.12 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 30,760.08(1 + 0.12/12)(12)(0.5)

A = 30,760.08(1 + 0.01)(6)

A = $32,652.44

Therefore;  

The total amount David will obtain with 30,760.08 for 6 months, 12%is $32,652.44.

4 0
3 years ago
Riley is saving up to buy a new television. She needs a total of $1,049.77. Riley has saved $200.79 already and earns $77.18 per
Xelga [282]

11 weeks are required for Riley to work to save enough money to buy the new television

<h3><u>Solution:</u></h3>

Given that Riley needs a total of $1,049.77

Riley has saved $200.79 already and earns $77.18 per week at her job

To find: Number of weeks Riley need to work to save enough money to buy the new television

Remaining amount needed = $1,049.77 -  $200.79

Remaining amount needed = $ 848.98

Let "n" be the number of weeks Riley need to work to save enough money to buy the new television

Also she earns $77.18 per week at her job

1 week ⇒ $ 77.18

"n" weeks ⇒ $ 848.98

Therefore, by cross multiplication,

n \times 77.18 = 1 \times 848.98\\\\n = \frac{848.98}{77.18}\\\\n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

<h3><u>Method 2:</u></h3>

<em>Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)</em>

1,049.77 = 200.79 + (77.18)(n)

1049.77 - 200.79 = 77.18n

848.98 = 77.18n

n = \frac{848.98}{77.18}

n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

5 0
3 years ago
List at least two technology tools that can help with calculating future value of an investment. Using complete sentences, expla
Setler79 [48]

Answer:

  • scientific or graphing calculator
  • TVM solver
  • spreadsheet

Step-by-step explanation:

For many future-value calculations, a scientific calculator is a sufficient tool. Of course, one must know the appropriate formula to use.

A good alternative when the calculation is a little messy is a TVM solver or special-purpose financial calculator. I prefer this tool because it requires little more than entering numbers in to the right slots.

Most modern spreadsheet programs and apps come with financial formulas built in. So, they, too, can be easy tools to use for calculating future value. These are especially handy when a number of scenarios need to be explored. (I always have to look up the formulas to see which one is appropriate and what its inputs are. So, I find a spreadsheet less useful for a simple calculation.)

4 0
3 years ago
Find the slope of the line that passes through each pair of points
lyudmila [28]

Answer:

-1

Step-by-step explanation:

The slope of the line can be found by

m = (y2-y1)/(x2-x1)

    = (-2-1)/(1--2)

     =-3 /(1+2)

      =-3/3

       -1

3 0
3 years ago
Encuentre la suma: 564 + 3,598 =?<br> 3,034<br> 4,052<br> 4,162<br> 9,238
Scrat [10]
The answer is 4,162 for 564+3,598
5 0
3 years ago
Other questions:
  • A four person relay team completed a race in 72.4 seconds. On average what was each runner's time?
    8·1 answer
  • In 1992, the population of Seoul. South Korea was 17,334,000. In 1995, the population of Seoul was 19,065,000. Find the average
    7·1 answer
  • How much interest will i pay for a $334,500 for 30% with an interest rate of 3.9%
    8·1 answer
  • What is the vertex of f(x)= -3/4|x|+7? also how do i graph it?
    11·1 answer
  • Solve for all possible values of x.<br> Vx+7-11=2<br> Ox= 6<br> O x = 20<br> Ox= 162<br> Ox = 169
    5·1 answer
  • The number 7 is a factor of
    15·2 answers
  • The perimeter of a square is 28ft. can you conclude that area of the square is 49 square feet? Explain.
    9·1 answer
  • What are the coordinates of point A? <br> A. (4.5,1)<br> B. (4.5,0.5)<br> C. (5,0.5)<br> D. (5,1)
    5·1 answer
  • Which lists the fractions Four-sevenths, Five-ninths, and in order from least to greatest?
    13·1 answer
  • Find area in square units
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!