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Ilya [14]
3 years ago
10

Explain how you write products when there are not enough digits in the product to place the decimal point

Mathematics
1 answer:
WARRIOR [948]3 years ago
7 0

ok for example, u need 5 decimal spaces and your number is 49 all you need to do and add zeros to add your decimal like this-------> 49---->1: 4.9----->2: .49       ---->3: .049----->4: .0049------>5: .00049 so taht would mean that your answer would be .00049

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A mother is 26 years older than her daughter. The daughter is one-third her mother's age. How old is each now? When will the mot
marshall27 [118]

Answer:

  • now: daughter: 13, mother: 39
  • then: daughter: 26, mother: 52

Step-by-step explanation:

If the daughter's age is 1/3 the mother's age, the difference in their ages is ...

  1-1/3 = 2/3

the mother's age. The daughter's age is half that (1/3 the mother's age), so the daughter's age is 26/2 = 13 years. The mother's age is 13+26 = 39 years, which is 3 times the daughter's age.

The daughter is 13 now; the mother is 39.

__

When the mother is twice as old, the daughter's age will be equal to their age difference: 26. The mother's age will be 26 +26 = 52

When the mother is twice as old, she will be 52, and the daughter will be 26.

_____

<em>Additional comment</em>

You can assign variables and write equations that will give you the same result. If you let d and m represent the daughter's age and the mother's age, respectively, you could write the system ...

  m = d +26

  d = m/3

Substituting for d, you get ...

  m = m/3 +26

  2/3m = 26 . . . . . . subtract m/3

Note that this is the relationship we came to in the discussion above.

__

When an age difference is given, you know it will remain the same throughout the problem. Everybody ages at the same rate, so the difference is constant. As we have done above, it is often useful to compare the age difference to the difference in ratio units. This tells you the size of a ratio unit.

3 0
2 years ago
You have 100 cm of string which can be cut in one place (or not cut at all) and then formed into a circle and a square (or just
Ne4ueva [31]

Answer:

44cm for minimum area and 0 for maximum area (circle)

Step-by-step explanation:

Let's C be the circumference of the circle and S be the circumference of the square. If we cut the string into 2 pieces the total circumferences would be the string length 100cm.

S + C  = 100 or S = 100 - C

The side of square is S/4 and radius of the circle is \frac{C}{2\pi}

So the area of the square is

A_S = \frac{S^2}{4^2} = \frac{S^2}{16}

A_C = \pi\frac{C^2}{(2\pi)^2} = \frac{C^2}{4\pi}

Therefore the total area is

A = A_S + A_C = \frac{S^2}{16} + \frac{C^2}{4\pi}

We can substitute 100 - C for S

A = \frac{(100 - C)^2}{16} + \frac{C^2}{4\pi}

A = \frac{100^2 - 200C + C^2}{16} + \frac{C^2}{4\pi}

A = 625 -12.5C + \frac{C^2}{16} + \frac{C^2}{4\pi}

A = 625 -12.5C + C^2(\frac{1}{16} + \frac{1}{4\pi})

To find the maximum and minimum of this, we can take the first derivative and set that to 0

A^{'} = -12.5 + 2C(\frac{1}{16} + \frac{1}{4\pi}) = 0

C(\frac{1}{8} + \frac{1}{2\pi}) = 12.5

C \approx 44 cm

If we take the 2nd derivative:

A^{''} = \frac{1}{8} + \frac{1}{2\pi} > 0

We can see that this is positive, so our cut at 44 cm would yield the minimum area.

The maximum area would be where you not cut anything and use the total string length to use for either square or circle

if C = 100 then A_C = \frac{C^2}{4\pi} = \frac{100^2}{4\pi} = 795.77 cm^2

if S = 100 then A_S = \frac{S^2}{16} = \frac{100^2}{16} = 625 cm^2

So to yield maximum area, you should not cut at all and use the whole string to form a circle

4 0
3 years ago
If BC= 48 cm and sin
erastovalidia [21]

Using relations in a right triangle, it is found that the length of AC is of 14 cm.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Researching this problem on the internet, we have that:

  • The opposite leg to angle A is of 48 cm.
  • sin(A) = 0.96.

Hence the hypotenuse is found as follows:

sin(A) = 48/h

0.96 = 48/h

h = 48/0.96

h = 50 cm.

The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:

x^2 + 48^2 = 50^2

x^2 = \sqrt{50^2 - 48^2}

x = 14 cm.

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

6 0
2 years ago
Please help me simplify complex fractions <br><br> 1/5/3/4
Inga [223]
The answer is 4/15 decimal form is .26 and six repeates

4 0
3 years ago
Read 2 more answers
What is the length of AC?<br>pls help!​
ollegr [7]

Answer:

16

Step-by-step explanation:

8 + 8 (same length)

= 16

7 0
3 years ago
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