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kap26 [50]
3 years ago
9

A conveyor belt takes products from the ground to the storage loft of a building. The belt makes an angle of 52 degrees with the

wall of the building, and the loft door is 27 feet above the ground. Approximately how far does the belt travel from the ground to the loft?

Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer: 43.85 feet.


Step-by-step explanation:

1. You can draw a rigth triangle, as you can see in the figure attached. Where x is the distance traveled from the ground to the loft.

2. Then, to solve this problem you should follow the proccedure shown below:

cos\alpha=\frac{adjacent}{hypotenuse}

Where:

\alpha=52°

adjacent=27

hypotenuse=x

3. Substitute the values. Therefore, the result is:

cos(52)=\frac{27}{x}\\x=\frac{27}{cos(52)}\\x=43.85ft

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Answer:

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Naglakad si Ruben ng 900 sentimetro samantalang si Jaime ay naglakad ng
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Sagot:

100 cm

Hakbang-hakbang na paliwanag:

Kung ganoon :

Distansya na sakop ng Ruben = 900 centimetri

Distansya na sakop ng Jamie = 10 metro

Pagko-convert sa centimeter:

100 cm = 1 m

x cm = 10 m

Paggamit ng multiplikasyon ng krus:

x = 100 * 10

x = 1000 cm.

Dahil dito Distansya ni Jamie = 1000 cm

Distansya sa pagitan ng Jamie at Ruben;

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3 0
3 years ago
Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas
lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

n(S) = n(s) + n(S \cap F)

In which n(s) are those who are succeful but not freshmen and n(S \cap F) are those who are succesful and freshmen.

By the same logic, we also have that:

n(F) = n(f) + n(S \cap F)

The union is:

n(S \cup F) = n(s) + n(f) + n(S \cap F)

In which

n(S \cup F) = 58

n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)

n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)

So

n(S \cup F) = n(s) + n(f) + n(S \cap F)

58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)

n(S \cap F) = 24

So the correct answer is:

b) 24

3 0
4 years ago
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