Solve the inequality

A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 16 it f

choli [55]

Answer:

The length of the ladder = 6.5077 ft

Step-by-step explanation:

Given A ladder leans against the side of a house

Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house

Let 'C' be the point of observation.

Given CA= 16 ft

From right angle triangle

x = 16 × cos 68°

x = 16 × 0.4067

x = 6.5077

x = 6.5 ft

The length of the ladder = 6.5 ft

8 0

3 years ago

Consider the function below. f(x)= x^3 + 2x^2 - x - 2 plot the x and y intercepts of the function

dimulka [17.4K]

In the Figure below is shown the graph of this function. We have the following function:

$f(x)=x^3+2x^2-x-2$

The $y-intercept$ occurs when $x=0$ , so:

$f(0)=(0)^3+2(0)^2-(0)-2=-2$

Therefore, the $y-intercept$ is the given by the point:

$\boxed{(0,-2)}$

From the figure we have three $x-intercepts$ :

$\boxed{P_{1}(-2,0)} \\ \boxed{P_{2}(-1,0)} \\ \boxed{P_{3}(1,0)}$

So, the $x-intercepts$ occur when $y=0$ . Thus, proving this:

$f(x)=x^3+2x^2-x-2 \\ \\ For \ P_{1}:\\ If \ x=-2, \ y=(-2)^3+2(-2)^2-(-2)-2=0 \\ \\ For \ P_{2}:\\ If \ x=-1, \ y=(-1)^3+2(-1)^2-(-1)-2=0 \\ \\ For \ P_{3}:\\ If \ x=1, \ y=(1)^3+2(1)^2-(1)-2=0$

7 0

3 years ago

Read 2 more answers

The ratio of chocolate chip cookies, snickerdoodles and oatmeal raisin cookies was 2:5:7. During the class party 12 chocolate ch

Schach [20]

Answer: 127 cookies

Step-by-step explanation:

1. If you look back to the text you will see that 12 is 1 in 1:3:4 and you multiply that by 2. 12 * 2 = 24.

2. Divide 24 by 3 and that gives you 8 than times it by 5 for it to give you 40

3. Divide 36 by 4 and that equals to 9 than multiply it by 7 which that gives you 63

4. Add 24, 40, and 63 for it to give you 127

Thank you for following these steps if it is correct and this is my first time so if I am incorrect I will look upon my mistake and correct and help many of you people who need help

4 0

3 years ago

How do you tell time on a clock

dimaraw [331]

Answer:

Each of those dashes are 5 minute for the small hand

and each of those dashes are 1 minutes for the long hand

8 0

2 years ago

Read 2 more answers

Can someone plz help me with this!

asambeis [7]