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3 years ago

1 2/3 divided by 4 1/2

Mathematics

2 answers:

AleksAgata [21]3 years ago

5 0

first you make both 1 2/3 and 4 1/2 improper fractions

5/3 and 9/2

then you keep the first fraction change the operation to multiplication and flip 9/2 which is now 2/9

third you multiply and the answer is 10/27

HOPE THIS HELPED

blagie [28]3 years ago

3 0

0.37

1 2/3 divided by 4 1/2

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What is the expressions that equal 372,000

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Answer:

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Step-by-step explanation:

372,000 = 372,000

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3 years ago

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4 years ago

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A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is slidi

Andre45 [30]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is $\frac{dx}{dt}$ when y = 6 and $\frac{dy}{dt}=-2$ .

The equation for Pythagorean's Theorem is

$x^2+y^2=c^2$ where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:

$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$ and divide everything by 2 to simplify:

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ . Looking at that equation, it looks like we need a value for x, y, $\frac{dx}{dt}$ and $\frac{dy}{dt}$ .

Since we are looking for $\frac{dx}{dt}$ , that can be our only unknown and everything else has to have a value. So what do we know?

If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:

$x^2+6^2=10^2$ and

$x^2+36=100$ and

$x^2=64$ so

x = 8.

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Remember the derivative is

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ so

$8\frac{dx}{dt}+6(-2)=0$ and

$8\frac{dx}{dt}-12=0$ and

$8\frac{dx}{dt}=12$ so

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3 years ago

Suppose a card is drawn from a deck of 52 playing cards. what is the probability of drawing a 5 or a king?

BigorU [14]

Since there are 4 fives and 4 kings in a deck of 52 cards, the probability of choosing either a five or a king is 8/52 which simplifies as 2/13.

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3 years ago

The Hudson high school wrestling team just won the state tournament and have been awarded a triangular pennant to hang on the wa

Eduardwww [97]

Answer:

3 feet.

Step-by-step explanation:

Base of the triangular pennant = 1.5 feet long.
Area of the triangular pennant = 2.25 Square feet.

Now, we know that:

Area of a Triangle $=\frac{1}{2}$ X Base X Height$

Substituting the given values, we have:

$2.25=\dfrac{1}{2}$ X 1.5 X Height\\\\2.25=$\dfrac{1.5}{2}$ X Height\\\\Cross multiply\\\\2.25*2=1.5 X Height\\\\Divide both sides by 1.5 to solve for the height\\\\\dfrac{2.25*2}{1.5}=\dfrac{1.5 X Height}{1.5}\\\\$Height of the Triangle =3 feet$

Therefore, the height of the pennant is 3 feet.

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3 years ago