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SCORPION-xisa [38]
3 years ago
9

One number is 2 less than a second number.twice the second number is 37 more than 5 times the first. Find more the two number

Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0

Answer:

The numbers are -11 and -9.

Step-by-step explanation:

The two numbers are x and y.

x = y - 2

2y = 5x + 37

2y = 5(y - 2) + 37

2y = 5y - 10 + 37

3y = - 27

y = -9

x = - 11

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Two people are standing on opposite sides of a hill. Person A makes an angle of elevation of 65° with the top of the hill and pe
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Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO tan 65 = \frac{h}{45-x} = 2.14

h=2.14(45-x)

From ΔBCO tan80 = \frac{h}{x} = 5.67

h = 5.67x

Now h = 5.67x = 2.14(45-x)

5.67x = 96.3 - 2.14x

2.14x + 5.67x = 96.3

7.81x = 96.3

x = 96.3/7.81 = 12.33 ft

Therefore cos80 = \frac{x}{OB}

0.174 = \frac{12.33}{OB}

OB = \frac{12.33}{.174}=70.86=71ft.

Therefore 71 ft is the distance between B and the top of the hill.

3 0
3 years ago
Three points on the graph of the function f(x)f(x) are \{(0, 4), (1, 6), (2, 8)\}{(0,4),(1,6),(2,8)}. Which equation represents
Blababa [14]

Answer:

y = 2x + 4

Step-by-step explanation:

Slope: (6-4)/(1-0) = 2

y = 2x + 4

7 0
3 years ago
-12(r + 4) =72 please help
Ivahew [28]
The answer is r= -10
6 0
3 years ago
Read 2 more answers
the drama club has sold 942 tickets to their play if their theater seats 57 each row how many full rows were there be how many e
Alona [7]

Since 57x17=969 I did 969-942 and got 27 so there is 16 full rows and then 27 left over so that means it won’t be a full row but 27 extra seats will be filled. (If your wondering where the 17 came from that’s how many rows can be made that’s over 942 because if I did 57x16 it would equal 912 and I would not have had a full row of chairs)

3 0
3 years ago
Juan tiene cubos azules de 55 mm de arista y cubos rojos de 45 mm de arista. Los apila en dos columnas, una de cada color ; quie
balu736 [363]

the question in English

Juan has blue cubes with a 55 mm edge and red cubes with a 45 mm edge. He stacks them in two columns, one of each color; he wants the two columns to be the same height. How many cubes does he need, as a minimum, of each color?

Let

x---------> the number of blue cubes

y--------> the number of red cubes

we know that

Juan wants that  the two columns to be the same height

so

55x=45y

solve for y

y=\frac{55}{45}x

I proceed to calculate a table, assuming values of x to calculate the value of y. When the values of x and y are whole numbers, I will have found the solution.    

the table in the attached figure

therefore

<u>the answer is</u>

9 blue cubes

11 red cubes

7 0
3 years ago
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