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kvasek [131]
2 years ago
14

1. Joshua has a ladder that is 14 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is

13.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.
Mathematics
1 answer:
34kurt2 years ago
8 0

Answer:

Step-by-step explanation:

θ is the angle the ladder makes with the ground.

θ = arcsin(13.8/14) ≈ 80.3° > 78°

The ladder is not safe at that height and angle.

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Cuál es el capital final de invertir $65.000 durante 5 años a una tasa de interés simple del 5% anual? * 1 punto
SashulF [63]

Respuesta:

$81.250.

Explicación paso a paso:

Datos dados

Principal = $ 65,000

Tasa = 5%

Tiempo = 5 años

La expresión de interés simple se da como

A = P (1 + rt)

Substiute

A = 65000 (1 + 0,05 * 5)

A = 65000 (1 + 0,25)

A = 65000 (1,25)

A = $ 81,250

Por lo tanto, la inversión después de 5 años es de $81,250

6 0
3 years ago
The sum of two numbers is 9 . one number is nine less than twice the other. find the two numbers.
dimulka [17.4K]
Hello!

To solve this problem, we will use a system of equations. We will have one number be x and the other y. We will use substitutions to solve for each variable.

x+y=9
x=2y-9

To solve for the two numbers, we need to solve the top equation. The second equation shows that x=2y-9. In the first equation, we can replace 2y-9 for x and solve.

2y-9+y=9
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We now know the value of y. Now we need to find x. We can plug in 6 for y in the second equation to find x.

x=2·6-9
x=12-9
x=3

Just to check, we will plug these two numbers into the first equation.


3+6=9
9=9

Our two numbers are three and six.

I hope this helps!
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Answer:

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Step-by-step explanation:

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