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natali 33 [55]
3 years ago
14

A larger number is twelve morethan a smaller. Their sum is84. Find the numbers.​

Mathematics
2 answers:
Svetllana [295]3 years ago
6 0

Answer:

  • The smaller number  ⇒ y = 36
  • The larger number ⇒ x = y + 12 = 36 + 12 = 48

Step-by-step explanation:

  • Let the larger number be = x
  • Let the smaller number be = y

As the larger number is twelve more  than a smaller, so

x = y + 12

As the sum of larger and smaller numbers is 84, so

x + y = 84

now substituting x = y + 12 in th equation x + y = 84

x + y = 84

(y + 12) + y = 84

2y + 12 = 84

subtract 12 from both sides

2y + 12 - 12 = 84 - 12

2y = 72

divide both sides by 2

2y/2 = 72/2

y = 36

Thus,

  • The smaller number  ⇒ y = 36
  • The larger number ⇒ x = y + 12 = 36 + 12 = 48
Elenna [48]3 years ago
4 0

Answer:  bigger number is 48 and smaller number is 36

Step-by-step explanation:

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△ABC is a right isosceles triangle, the centers of two arcs are the midpoint of AB
mel-nik [20]

Answer:

  0

Step-by-step explanation:

Let's define 3 areas:

  • S = area of semicircle with radius 6 in (diameter AB)
  • T = area of quarter circle with radius 6√2 in (radius AC)
  • U = area of triangle ABC (side lengths 6√2)

The white space between the "moon" and the triangle has area ...

  white = T - U

Then the area of the "moon" shape is ...

  moon = S -white = S -(T -U) = S -T +U

The area we're asked to find is ...

  moon - triangle = (S -T +U) -U = S -T

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The formula for the area of a circle of radius r is ...

  A = πr²

So, ...

  S = (1/2)π(6 in)² = 18π in²

and

  T = (1/4)π(6√2 in)² = 18π in²

The difference in areas is S -T = (18π in²) -(18π in²) = 0.

There is no difference between the areas of the "moon" and the triangle.

4 0
3 years ago
Can you please help me!
scZoUnD [109]

Answer:

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Step-by-step explanation:

5+5+5+5= 20

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5 0
3 years ago
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alexandr1967 [171]
Wouldn't all of it be the answer? cause the domain of the equation is x∈R so any real number is fine
8 0
3 years ago
Read 2 more answers
Juan is filling a tank. The graph shows the amount of water in liters) in the tank versus time (in minutes).
3241004551 [841]

Answer:

Step-by-step explanation:

To answer all the parts given find the equation of the line given in the graph.

Let the equation is,

y = mx + b

m = slope of the line

b = y-intercept

x = time

y = Amount of water

Slope of a line passing through two points (x_1,y_1) and (x_2, y_2) is,

m = \frac{y_2-y_1}{x_2-x_1}

Slope of the given line passing through (0, 80) and (1, 320)

m = \frac{320-80}{1-0}

m = 240

Y-intercept 'b' = 80

Therefore, y = 240x + 80 will be the equation.

a). At x = 0

y = 240(0) + 80

y = 80 liters

b). As the time is increasing amount of the water is increasing

Rate of increase in the water = Slope of the line

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5 0
3 years ago
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