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fredd [130]
3 years ago
13

What is 224% in its simplest form?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

Steps to simplifying fractions

   Find the GCD (or HCF) of numerator and denominator. GCD of 224 and 100 is 4.

   224 ÷ 4100 ÷ 4.

   Reduced fraction: 5625. Therefore, 224/100 simplified to lowest terms is 56/25.

Step-by-step explanation:

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In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.
kirza4 [7]

Answer:

<h2>7.4inches</h2>

Step-by-step explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

\frac{u}{sinU} =  \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in

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3 years ago
One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
Aloiza [94]

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

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inn [45]

Answer:

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Step-by-step explanation:

The given expression is

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First, we need to factor each denominator

\frac{2x+5}{x(x-3)} -\frac{3x+5}{x(x+3)(x-3)} -\frac{x+1}{(x-3)(x+3)}

So, the least common factor (LCF) is x(x-3)(x+3), because they are the factors that repeats.

Now, we diviide the LCF by each denominator, to then multiply it by each numerator.

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Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.

\frac{(x+5)(x+2)}{x(x-3)(x+3)}

Therefore, the expression is equivalent to

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