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Hoochie [10]
3 years ago
15

What is this question to the nearest mile ?

Mathematics
2 answers:
stiv31 [10]3 years ago
8 0

50 kilometers is 31.0686 miles, so 31.0696 to the nearest mile is 31 miles

Sedbober [7]3 years ago
4 0

The answer rounding up to the closest mile is 31 miles

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A brace for a shelf has the shape of a right triangle. Its hypotenuse is 10 inches long and the two legs are equal in length. Ho
vagabundo [1.1K]
This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2 Hope this helps!!
3 0
3 years ago
A home has three bedrooms, 2 baths, a pool, and an attached workshop. The asking price is $ 450,000; the square footage is 2,255
castortr0y [4]

Answer:

$ 199.56 per sq ft

Step-by-step explanation:

price / ft^2    =    450 000 / 2255 = 199.56

8 0
2 years ago
The triangle T has vertices at (-2, 1), (2, 1) and (0,-1). (It might be an idea to
Firdavs [7]

Rewrite the boundary lines <em>y</em> = -1 - <em>x</em> and <em>y</em> = <em>x</em> - 1 as functions of <em>y </em>:

<em>y</em> = -1 - <em>x</em>  ==>  <em>x</em> = -1 - <em>y</em>

<em>y</em> = <em>x</em> - 1  ==>  <em>x</em> = 1 + <em>y</em>

So if we let <em>x</em> range between these two lines, we need to let <em>y</em> vary between the point where these lines intersect, and the line <em>y</em> = 1.

This means the area is given by the integral,

\displaystyle\iint_T\mathrm dA=\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy

The integral with respect to <em>x</em> is trivial:

\displaystyle\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy=\int_{-1}^1x\bigg|_{-1-y}^{1+y}\,\mathrm dy=\int_{-1}^1(1+y)-(-1-y)\,\mathrm dy=2\int_{-1}^1(1+y)\,\mathrm dy

For the remaining integral, integrate term-by-term to get

\displaystyle2\int_{-1}^1(1+y)\,\mathrm dy=2\left(y+\frac{y^2}2\right)\bigg|_{-1}^1=2\left(1+\frac12\right)-2\left(-1+\frac12\right)=\boxed{4}

Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line <em>y</em> = 1 and (0, -1)), so its area is 1/2*4*2 = 4.

6 0
3 years ago
3z-4=6z-17 how do solve
Maru [420]
3z-4=6z-17
-3z-4=-17 (subtracted the 6z from both sides)
-3z=-13 (added the 4 to both sides)
z=\frac{-13}{-3z} (divided both sides by -3z)
z=\frac{13}{3}
5 0
3 years ago
Read 2 more answers
Perform the indicated operation. 6-7i/6 + i
arsen [322]

Answer: (28/37) - (48/37)*i

Step-by-step explanation:

We want to solve the quotient:

\frac{6 - 7*i}{6 + i}

To solve it, we need to multiply the whole quotient by the complex conjugate of the denominator.

Remember that for a complex number:

a + b*i

the complex conjugate is:

a - b*i

Then if the denominatoris:

6 + i

the complex conjugate is:

6 - i

Then to solve the quotient we have:

\frac{6 - 7*i}{6 + i} *\frac{6 - i}{6 - i} =  \frac{(6  -7*i)*(6 - i)}{(6 + i)*(6 - i)} = \frac{6*6 -7*6*i - 6*i + (-7*i)*(-i)}{6*6 +6*i - 6*i -i^2}

This is equal to:

\frac{6*6 -7*6*i - 6*i + (-7*i)*(-i)}{6*6 +6*i - 6*i -i^2} = \frac{36 - 42*i - 6*I - 7}{36 + 1}  = \frac{29 - 48*i}{37}

Then the initial quotient is equal to:

(28/37) - (48/37)*i

8 0
2 years ago
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