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Vlada [557]
3 years ago
6

What’s the length of the leg?

Mathematics
1 answer:
AveGali [126]3 years ago
3 0

Answer:

a = 4 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + 3² = 5²

a² + 9 = 25 ( subtract 9 from both sides )

a² = 16 ( take the square root of both sides )

a = \sqrt{16} = 4

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Using the quadratic formula, solve the equation: 5.1x^2-1.7x-3.2
CaHeK987 [17]

There's no equation to solve, until you tell us
what that expression is equal to.

8 0
3 years ago
Answer this plz!!!!!!!!!!
belka [17]

That's a trapezoid,

A = \frac 1 2 (b+B)h

A = \frac 1 2 (4+12) 4 = 32

Answer: 32

But say we didn't know the formula. We can chop out the 4 by 4 square and we have two 45/45/90 triangles side 4 left over, so two 4 by 4 squares,

A = 2(4)(4) = 32

We can think of this as 12 by 4 rectangle with two 4 by 4 right triangles chopped out:

A = 12(4) - 2(1/2)(4)(4) = 48 - 16 = 32


7 0
2 years ago
The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
3 years ago
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