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mote1985 [20]
2 years ago
11

Alfonso is trying to move a new sofa into his apartment. Unfortunately, he forgot to measure the size of his doors and it turns

out the sofa won´t fit through! He must therefore lift the sofa from the street and bring it into the apartment through his window. The sofa has a mass of 160Kg. With a rope Alfonso can pull upwards with a force of 400N. Calculate how much mass Alfonso can lift alone. State whether he will need to ask for help from his friends, and if so, how many friends will he need to ask?
Mathematics
1 answer:
lara [203]2 years ago
7 0

Answer:

678996543456789

Step-by-step explanation:

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The base of a triangle is 7 inches more than 4 times the height. If the area of the triangle is 93 square inches, find the base
Galina-37 [17]

Answer:

Step-by-step explanation:

Let the height = h

Let the base = 4h + 7

Area of a triangle = 1/2 * b * h

Area = 93 square inches

1/2 * (4h + 7)* h = 93            Multiply both sides by 2

(4h + 7) * h = 93*2

(4h + 7)*h = 186                    Remove the brackets

4h^2 + 7h = 186                   Subtract 186 from both sides.

4h^2 + 7h - 186 = 0

Use the quadratic formula to solve

a = 4

b = 7

c = - 186

x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4

x1 = (-7 + sqrt(49 - 16*(-186)) / 8

x1 = (-7 + sqrt(49 + 2976)) / 8

x1 = (-7 + sqrt(3025)) / 8

x1 = (-7 +55 ) / 8

x1 = (48)/8

x1 = 6

There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75

h = 6

b = 4*6 + 7 = 31

Check

Area = 1/2 * b * h

Area = 1/2 * 31 * 6

Area = 1/2 *186

Area = 93 which is what we were given so the answer is correct.

4 0
2 years ago
A fisherman is sitting 2 feet above the surface of a lake on a boat. The hook on
Marat540 [252]

Answer:

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4 0
2 years ago
The data displayed by the graph indicate that in 2000,
MrMuchimi

Using an linear function, we find that by 2020 only 11% of all American adults believe that most qualified students  get to attend college.

-----------------------------------------

A decaying linear function has the following format:

A(t) = A(0) - mt

In which

  • A(0) is the initial amount.
  • m is the slope, that is, the yearly decay.

  • In 2000, 45% believed, thus, A(0) = 45
  • Decaying by 1.7 each year, thus m = 1.7.

The equation is:

A(t) = 45 - 1.7t

It will be 11% in t years after 2000, considering t for which A(t) = 11, that is:

11 = 45 - 1.7t

1.7t = 34

t = \frac{34}{1.7}

t = 20

2000 + 20 = 2020

By 2020 only 11% of all American adults believe that most qualified students  get to attend college.

A similar problem is given at brainly.com/question/24282972

7 0
2 years ago
If (a,b) is an ordered pair for x-y=5, is (b,a) also a solution?
alina1380 [7]
The answer is no. Because solution (a,b) means x=a, y=b.and we have a-b=5.  And (b,a) would mean x=b and y=a but then x-y=b-a=-(a-b)=-5≠5. So  the pair (b,a) is not a solution.


5 0
3 years ago
How do you simplify 2i<6u
Solnce55 [7]
Divide both sides by 2
i<3u
4 0
3 years ago
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