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
Troyanec [42]
3 years ago
10

a ladder 30m long, rests against a vertical wall. if the foot of the ladder is 24m away from the wall, how far up the wall is th

e ladder.​
Mathematics
1 answer:
mash [69]3 years ago
3 0

answer is 18

Step-by-step explanation:

use Pythagoras theorem with is a²+b²=c²

if u draw the ladder against the wall you'll get a right triangle .

c is hypotenus which is the longest side of the triangle so it is 30

so you'll get 24²+b²=30²

rearrange to b²=30²-24²

you'll get b=

\sqrt{324}

therefore that is 18

hope you understood :)

You might be interested in
A cylinder has a radius of 5 inches and height of 20 inches.which is the surface area of the cylinder?
3241004551 [841]

Answer:

1. 1187 square inches

Step-by-step explanation:

Good Job!

4 0
3 years ago
Which way will the parabola open? Explain.
Marizza181 [45]
Our parabola open downward and therefore a is negative.

Explanation:
As value of a changes from positive to negative or from negative to positive, the direction of opening changes. For negative values of a we got negative parabolas that open downward. As the original formula y = x^2 we see that x^2 will always be positive because when you square a number it always gives positive value. Therefore the direction for which it will open, depends on value of a.
8 0
3 years ago
Read 2 more answers
Sally Sue had spent all day preparing for the prom. All the glitz and the glamour of the evening fell apart as she stepped out o
Nuetrik [128]

We have the function

p(t)=550(1-e^{-0.039t})

Therefore we want to determine when we have

p(t_0)=550

It means that the term

e^{-0.039t}

Must go to zero, then let's forget the rest of the function for a sec and focus only on this term

e^{-0.039t}\rightarrow0

But for which value of t? When we have a decreasing exponential, it's interesting to input values that are multiples of the exponential coefficient, if we have 0.039 in the exponential, let's define that

\alpha=\frac{1}{0.039}

The inverse of the number, but why do that? look what happens when we do t = α

e^{-0.039t}\Rightarrow e^{-0.039\alpha}\Rightarrow e^{-1}=\frac{1}{e}

And when t = 2α

e^{-0.039t}\Rightarrow e^{-0.039\cdot2\alpha}\Rightarrow e^{-2}=\frac{1}{e^2}

We can write it in terms of e only.

And we can find for which value of α we have a small value that satisfies

e^{-0.039t}\approx0

Only using powers of e

Let's write some inverse powers of e:

\begin{gathered} \frac{1}{e}=0.368 \\  \\ \frac{1}{e^2}=0.135 \\  \\ \frac{1}{e^3}=0.05 \\  \\ \frac{1}{e^4}=0.02 \\  \\ \frac{1}{e^5}=0.006 \end{gathered}

See that at t = 5α we have a small value already, then if we input p(5α) we can get

\begin{gathered} p(5\alpha)=550(1-e^{-0.039\cdot5\alpha}) \\  \\ p(5\alpha)=550(1-0.006) \\  \\ p(5\alpha)=550(1-0.006) \\  \\ p(5\alpha)=550\cdot0.994 \\  \\ p(5\alpha)\approx547 \end{gathered}

That's already very close to 550, if we want a better approximation we can use t = 8α, which will result in 549.81, which is basically 550.

Therefore, we can use t = 5α and say that 3 people are not important for our case, and say that it's basically 550, or use t = 8α and get a very close value.

In both cases, the decimal answers would be

\begin{gathered} 5\alpha=\frac{5}{0.039}=128.2\text{ minutes (good approx)} \\  \\ 8\alpha=\frac{8}{0.039}=205.13\text{ minutes (even better approx)} \end{gathered}

7 0
1 year ago
What is the slope of the line shown below?(-2,5) (3,-5)
Leviafan [203]

Answer:

-2 is your answer.

Step-by-step explanation:

You will use the slope formula to find the slope of the equation.

5 and -5 are your y's. -2 and 3 are your x's.

5 - (-5)/-2 - 3 = 10/-5 = -2.

-2 is your answer.

7 0
3 years ago
You drive 200 km west, then 100 km northeast, and then 100 km at 30.0° south of east. after an additional displacement, you arri
Rzqust [24]
The direction is your final destination
3 0
4 years ago
Other questions:
  • What is the slope of a line that is perpendicular to the line represented by the equation y=-2/5x+4/5
    5·1 answer
  • Write thirty -eight and ninety-seven hundredths kilograms in standard form
    14·1 answer
  • Give an example of a benchmark fraction and an example of a mixed fraction.
    9·2 answers
  • I need help on 12 please :)
    10·1 answer
  • A. 48+1.2m&gt;40<br> B. 40+1.2m&lt;48<br> C. 48+1.2m&lt;40<br> D. 40+1.2m&gt;48
    5·2 answers
  • The table below summarises the number of books in some students' schoolbags.
    12·1 answer
  • Pls answer the question and show how or why
    13·2 answers
  • Help me please!! I need someone to explain this for me. I need to find the area of this trapezoid!!
    8·2 answers
  • Which expression is equal to 48 + 72?
    6·2 answers
  • A store is having a 40% off sale! If an item is originally priced at $20, what will be the sale price?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!