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sdas [7]
3 years ago
11

There are 7 coins that look identical.One of the seven coins weighs slightly less than the other 6. Using a balance scale, how c

ould you determine which is the lightest coin in just 2 weighings?
Mathematics
1 answer:
RoseWind [281]3 years ago
5 0
Start by putting two coins on each side of the scale. If one side is higher, then the light coin must be in that pair (use a second weighing to determine which of that pair is the lightest.)
If the initial weighing shows the two pairs to be even, discard those four and go to the three others. Put two of the coins on the scale - one on each side. If one side stays higher, that coin is your light one. If however they are equal, the final unweighed coin must be the lighter coin.
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Identify all the sets to which the number belongs. Choose from Rational Number, Irrational number, whole number, and integer. 1.
Allushta [10]

Answer:

The number 1.256 is  A)rational number.

Step-by-step explanation:

  • A whole number is a non-negative number without any digits behind the decimal.
  • An integer is a set of negative and non negative numbers that don't have any digits behind the decimal.
  • A number that can be shown as a fraction of two whole numbers is a rational number.And the numbers that are not rational are irrational numbers.
  • Here, 1.256 is a fraction of whole numbers 1256 and 1000 , so it is a rational no.

                     \frac{1256}{1000} =1.256

  • But since it has digits behind the decimal it is neither a whole number, or an integer.

4 0
3 years ago
Mr. Layte needs a mortgage to buy his first house. Which describes how this will affect Mr. Layte's financial situation?
Norma-Jean [14]

9514 1404 393

Answer:

  A, D

Step-by-step explanation:

Assuming that Mr. Layte must pay for his mortgage from his (otherwise) disposable income, that disposable income will decrease. As in choice A, there will likely be additional ownership expenses besides the mortgage. Under our assumption, Mr. Layte's disposable income does not remain the same or increase.

The appropriate choices are A and D: the amount of money he has to spend on things will decrease ...

8 0
3 years ago
Please help me with math and thank you
o-na [289]

Answer:  864 square inches (choice A)

Work Shown:

area = length*width

area = 36*24

area = 864

3 0
3 years ago
Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).
Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

m_1=\frac{7-0}{3-0}=\frac{7}{3}

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)

The slope of the line joining E(7,0), and F(3,7). is:

m_1=\frac{7-0}{3-7}=-\frac{7}{4}

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

4 0
3 years ago
A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that
Alex73 [517]

Answer:  3528.25

Step-by-step explanation:Make a sideview sketch

you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°

the side opposite the 3° angle is 1000

by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)

x/sin24 = 1000/sin3

x = 1000sin24/sin3

let the height of the mountain be h

sin 27 = h/x

h = x sin27 = (1000sin24/sin3)(sin27)

= 3528.25

8 0
3 years ago
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