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Ipatiy [6.2K]
3 years ago
14

Francine has a collection of 25 dolls .If 12% of the dolls china dolls,how many of the dolls are not China dolls?Explain

Mathematics
1 answer:
miss Akunina [59]3 years ago
5 0

Answer:

3 are china dolls

Step-by-step explanation:

if you multiple 25 by 4 and since it is 12 percent out of one hundred we can juat divide 12 by to get 3 which is the answer

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Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the
ANTONII [103]

Answer:

Length of right-angle  triangle 'a' = 4

b)

<u><em></em></u>sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}<u><em></em></u>

<u><em></em></u>cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}<u><em></em></u>

<u><em></em></u>tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}<u><em></em></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given  b = 3 and hypotenuse c = 5

Given ΔABC  is a right angle triangle

By using pythagoras theorem

        c² = a² + b²

  ⇒ a² = c² - b²

 ⇒  a² = 5²-3²

          =25 - 9

      a² = 16

⇒   a = √16 = 4

The sides of right angle triangle  a = 4 ,b = 3 and c = 5

<u><em>Step(ii):-</em></u>

<u><em></em></u>sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}<u><em></em></u>

<u><em></em></u>cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}<u><em></em></u>

<u><em></em></u>tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}<u><em></em></u>

7 0
3 years ago
3. The manager of a store marks up all the items by 10%. If x is the original price, which expression represents the new price w
goldenfox [79]
Answer:
1.1x
x + 0.1x

Step-by-step explanation:

The manager of a store marks up all items by 10%.

So, if the original price of any item is x, then increase for markup is 10% of x i.e. .
Hence, the expression that represents the new price with the markup is (x + 0.1x) = 1.1x.
7 0
3 years ago
Joe paid x dollars for a pair of jeans. Dennis bought the same pair of jeans for half as much as Joe. If they paid a total of $6
mojhsa [17]
Joe paid 44$ for his pair of jeans and dennis paid 22$ for his pair of jeans 
22+
44
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66$
8 0
3 years ago
Find the slope of any line parallel to the line through the given points (3,2),(3,1)
Elza [17]

Answer:

the qoustion is not correct

3 0
3 years ago
Use Remainder Theorem to determine if x-2 is a factor of the polynomial f(x)=3x^5 - 7x^3 -
morpeh [17]

<u>Answer:</u>

(x - 2) is not a factor of f(x)  = 3x^5 - 7x^3 -  11x^2 + 2

<u>Step-by-step explanation:</u>

According to the Remainder Theorem, when a polynomial f(x) is divided by a term (x - r), then the remainder must be f(r).

So first we will divide f(x) by (x - 2) using long division to get:

(3x^5 - 7x^3 -  11x^2 + 2) / (x - 2)

= 3x^4 + (6x^4 - 7x^3 - 11x^2 + 2) / (x-2)

= 3x^4 + 6x^3 + (5x^3-11x^2+2) / (x - 2)

= 3x^4 + 6x^3 + 5x^2 (-x^2 + 2) / (x - 2)

= 3x^4 + 6x^3 + 5x^2 -x -2 - (2) / (x -2)

= \frac{-2 + 3x^{5} - 7x^{3} - 11x^{2} + 2x}{x - 2} - 2

Therefore the remainder is -2.

Now check x = 2 for 3x^5 - 7x^3 -  11x^2 + 2:

3(2)^5 - 7(2)^3 -  11(2)^2 + 2 = -2

The Remainder Factor theorem also states that if (x - r) is a factor of f(x) then f(r) must be 0.

So we found that f(2) = -2, therfore (x - 2) is not a factor of f(x) .


3 0
4 years ago
Read 2 more answers
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