All categories

3 years ago

A ladder is leaning against the side of a building. The

Mathematics

1 answer:

cupoosta [38]3 years ago

8 0

Answer:

16 ft

Step-by-step explanation:

Based on the situation above, it forms into a right triangle. Therefore we can apply the Pythagorean Theorem. We will use the formula below:

c = √( a² + b²)

In the problem above, the ladder acts as the hypotenuse denoted by c. It has a length of 20 ft. While the base denoted by b is 12 ft. Therefore, we need to solve for a. We will derive the formula above.

c² = a² + b²

a² = c² - b²

a = √( c² - b² )

a = √( 20² - 12² )

a = 16

The unit is in ft.

Correct me if I'm wrong. I hope it helps.

You might be interested in

1/x + 1/3x =6 how do you solve this equation for x

Elodia [21]

Answer:

x = 2/9 (or = 0.222)

Step-by-step explanation:

1/x + 1/(3x) =6 (multiply both sides by 3x)

(1/x) (3x) + [1/(3x)](3x) =6 (3x)

3 + 1 = 18x

4 = 18x

x = 4/18

x = 2/9 (or = 0.222)

3 0

3 years ago

How has math shaped our culture

Nata [24]

I like math so i think it's good for me

5 0

3 years ago

Based on past experience, a telemarketing firm has found that calls to prospective customers take an average of 2.0 minutes, wit

xenn [34]

Answer: Our required probability would be 0.9641.

Step-by-step explanation:

Since we have given that

Number of hours he works a day = 8

So, Number of minutes he worked in a day = $8\times 60=480\ minutes$

Number of calls = 220

So, Average $=\bar{x}=\dfrac{480}{220}=2.18\ minutes$

Standard deviation $=s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1.5}{\sqrt{220}}=0.10$

Mean = μ = 2.0 minutes

Standard deviation = σ = 1.5 minutes

Using the normal distribution, we get that

$z=\dfrac{\bar{x}-\mu}{s}\\\\z=\dfrac{2.18-2.0}{0.10}\\\\z=1.8$

So, the probability that Albert will meet or exceed his quota would be

$P(X\leq 2.18)=P(z\leq 1.8)=0.9641$

Hence, our required probability would be 0.9641.

6 0

3 years ago

You need to find the LCM of 13 and 14. Would you rather use their multiples or their prime factorizations? Explain.

Vladimir [108]

Answer:

I would rather use their multiples.

Step-by-step explanation:

With 13 and 14, neither number has many factors (and few prime factors, for that matter) so factoring would be pretty much useless. If you wanted to use the prime factors of 14 (7 and 2) multiplying either of them by 13 would not give you the LCM. Actually the LCM is just 13*14 which is 182.

Good luck!

5 0

2 years ago

Solve each equation x-6=8

jok3333 [9.3K]

Equation is
x-6=8
x=8+6
x=14
X equal to 14

8 0

3 years ago