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zysi [14]
3 years ago
8

Russell has already taken 540 quizzes during past quarters, and he expects to have 5 quizzes

Mathematics
1 answer:
atroni [7]3 years ago
6 0

Answer:

565

Step-by-step explanation:

5x5=25

540+25=565

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Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla
Svet_ta [14]

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

tan(\theta) = \frac{CO}{CA}

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}

Ahora, el ancho del río es:

CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

4 0
3 years ago
Find a solution of inequality 2x+y<10
Vitek1552 [10]

Option C:

The solution of inequality 2x + y < 10 is (5, –3).

Solution:

Given inequality is 2x + y < 10.

Lets substitute the given points in the inequality and find the solution.

Option A: (6, –1)

2(6) + (–1) < 10

12 – 1 < 10

11 < 10

This is false because 11 > 10.

Therefore (6, –1) is not the solution of the inequality.

Option B: (1, 10)

2(1) + (10) < 10

2 + 10 < 10

12 < 10

This is false because 12 > 10.

Therefore (1, 10) is not the solution of the inequality.

Option C: (5, –3)

2(5) + (–3) < 10

10 – 3 < 10

7 < 10

This is true.

Therefore (5, –3) is the solution of the inequality.

Option D: (5, 5)

2(5) + (5) < 10

10 + 5 < 10

15 < 10

This is false because 15 > 10.

Therefore (5, 5) is not the solution of the inequality.

Hence Option C is the correct answer.

The solution of inequality 2x + y < 10 is (5, –3).

7 0
3 years ago
HELP ME PLEASE !!!!!!!!!
Kay [80]

Answer: 33 333,33 per month or 400 000 per year

Step-by-step explanation:

You need 48 000 + 0.035X = 62 000

So ( 62 000 - 48 000 ) / 0.035 = X

Then you can divide X per 12 (months in a year)

And you have your answer per month .

So 33 333,33 total sale per month to have at least as high as the average pay

5 0
3 years ago
Subtract 5a-6b+7c from 13a-4b+8c
schepotkina [342]

Answer:

im not sure but i think the anwser is its self dont take my anwser its garbadge

Step-by-step explanation:

8 0
3 years ago
-x + 2 = x+4<br> help please!
Savatey [412]

Answer:

x=-2

Step-by-step explanation:

hope this helps

follow me

5 0
3 years ago
Read 2 more answers
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