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lys-0071 [83]
3 years ago
9

Write the ratio as a fraction in simplest form. 16 dogs to 12 cats

Mathematics
2 answers:
Simora [160]3 years ago
5 0
Ratio of dogs to cats is 16 to 12....can be written as 16/12 which reduces to 4/3 or 4:3
vichka [17]3 years ago
3 0

Answer:

\frac{4}{3}

Step-by-step explanation:

Let

x-----> number of dogs

y-----> number of cats

The ratio dogs to cats is equal to

\frac{x}{y}

In this problem we have

x=16\ dogs, y=12\ cats

substitute the values

\frac{16}{12}=\frac{8}{6}=\frac{4}{3}

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BlackZzzverrR [31]

Answer:

x = 8.0

Step-by-step explanation:

sin theta = opposite/ hypotenuse

sin 53 = x/10

Multiply by 10 on each side

10 sin 53= x

7.9863551 =x

Rounding to the nearest tenth

8.0 =x

4 0
3 years ago
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For the polynomial function ƒ(x) = −x6 + 3x4 + 4x2, find the zeros. Then determine the multiplicity at each zero and state wheth
murzikaleks [220]

There is a multiple zero at 0 (which means that it touches there), and there are single zeros at -2 and 2 (which means that they cross). There is also 2 imaginary zeros at i and -i.


You can find this by factoring. Start by pulling out the greatest common factor, which in this case is -x^2.


-x^6 + 3x^4 + 4x^2

-x^2(x^4 - 3x^2 - 4)


Now we can factor the inside of the parenthesis. You do this by finding factors of the last number that add up to the middle number.


-x^2(x^4 - 3x^2 - 4)

-x^2(x^2 - 4)(x^2 + 1)


Now we can use the factors of two perfect squares rule to factor the middle parenthesis.


-x^2(x^2 - 4)(x^2 + 1)

-x^2(x - 2)(x + 2)(x^2 + 1)


We would also want to split the term in the front.


-x^2(x - 2)(x + 2)(x^2 + 1)

(x)(-x)(x - 2)(x + 2)(x^2 + 1)


Now we would set each portion equal to 0 and solve.


First root

x = 0 ---> no work needed


Second root

-x = 0 ---> divide by -1

x = 0


Third root

x - 2 = 0

x = 2


Forth root

x + 2 = 0

x = -2


Fifth and Sixth roots

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7 0
3 years ago
Can someone answer fast.plsss
Anika [276]

Answer:

a

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sec (thita) = squrt (5)

squaring on both sides:

sec^2 (thita) = 5 - equation 1

1 + tan^2 (thita) = 5

tan^2 (thita) = 4

tan (thita) = 2.

= tan (thita) - squrt(5)sin(thita)

= 2 - squrt(5) x 2/ squrt(5)

= 0

from eqn - 1

sec(thita) = squrt(5)

cos(thita) = 1/ squrt(5)

sin(thita) = squrt ( 1- 1/(squrt (5))^2)

sin(thita) = 2/ squrt(5) .

4 0
3 years ago
How do you divide 2/10 by 3/4? Please help!
Ray Of Light [21]

Answer:

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Step-by-step explanation:

Dividing fractions is almost the same as multiplying to do it you just have to flip the second fraction and change the division sign to a multiplication sign like this,

2/10×4/3

then from there, you have to multiply the top numbers and the bottom numbers

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then put them together

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Sergio039 [100]

Answer:

Mean (average): 12.71429 or preferably 13.

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