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allochka39001 [22]
2 years ago
15

1) A 20-foot ladder is placed against a building. If the top of the ladder will lean against the building 4sqrt(7) - f feet high

, how far away from the base of the building is the bottom of the ladder located? Include a sketch that shows all known information and clearly shows what you need to findShow all work and give the exact answer

Mathematics
1 answer:
Oxana [17]2 years ago
8 0

Answer:

12√2.

Step-by-step explanation:

You can do this by the Pythagoras theorem:

20^2 = x^2 + (4sqrt7)^2    where  x is the distance required.

x^2 = 20^2 - (4sqrt7)^2

      = 400 - 112

      =  288

x  = √288

   =  √144 *√2

   =   12√2.

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A bus travels with a constant speed of 60 miles per hour. How long will it take to travel 75 miles?
sukhopar [10]

Answer:

a total of 4,500

Step-by-step explanation:

3 0
3 years ago
Please Help WILL MARK BRAINLIEST
fiasKO [112]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option  A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

The equation of the line in slope intercept form is

we have

-----> the point (0,16) is the y-intercept

substitute

convert to function notation

f(x)=y

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

 

step 2

Find the equation of the line into point slope form

we have

substitute

Convert to standard form

Multiply by 4 both sides to remove the fraction

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)

The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

-brainly user

5 0
3 years ago
Read 2 more answers
Adding 1/4 and 5/8 using the giant one to create a common denominator
tester [92]
1/4 • 2/2 = 2/8
2/8 + 5/8 = 7/8
4 0
3 years ago
Suppose f(x)=2^x. What is the graph of g(x)=1/3f(x)?
svetlana [45]

Please see the <em>blue</em> curve of the image attached below to know the graph of the function g(x) = (1/3) · 2ˣ.

<h3>How to graph a transformed function</h3>

Herein we have an <em>original</em> function f(x). The <em>transformed</em> function g(x) is the result of <em>compressing</em> f(x) by 1/3. Then, we find that g(x) = (1/3) · 2ˣ. Lastly, we graph both function on a <em>Cartesian</em> plane with the help of a <em>graphing</em> tool.

The result is attached below. Please notice that the <em>original</em> function f(x) is represented by the red curve, while the <em>transformed</em> function g(x) is represented by the blue curve.

To learn more on functions: brainly.com/question/12431044

#SPJ1

5 0
1 year ago
What is ​ 12 5/25 ​ as a mixed number in simplest form?
creativ13 [48]
12 5/25 as a simplified mixed number would be 12 1/5
8 0
3 years ago
Read 2 more answers
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