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Bogdan [553]
3 years ago
5

Convert the measurement 5.0 km to mi

Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0

1 km = 0.621371 miles

5 km = 5 x 0.621371 = 3.106855 miles

 round off as needed.

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The function f(x) is shown in the graph.
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Explanation:

This curve is a reflection of the exponential curve over the line y = x, to show that it is the inverse of exponentials. We use logs to help isolate the exponent among other useful properties.

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Mike and Teegan each measured the volume of the 16-ounce bottle three times. They recorded their measurements as shown.
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3 years ago
One mirror is to be in the shape of a triangle whose height is 6 feet less than twice the base of the mirror. If the mirror has
Vlad1618 [11]

Answer:

Base of the mirror is 12 feet and height of the mirror is 18 feet.

Step-by-step explanation:

Given:

Area of the triangular mirror = 108 sq ft.

Let base (b) of the mirror be x.

Now given:

height is 6 feet less than twice the base of the mirror

So we can say that;

Height (h) = 2x-6

We need to find the base and height of the mirror.

Solution:

Now we know that mirror is in triangular shape so we will apply area of triangle formula to find base and height.

Now Area of triangle is half times base times height.

framing in equation form we get;

108=\frac{1}{2} \times x \times(2x-6)\\\\108=\frac{1}{2}\times x \times 2(x-3)\\\\108=x(x-3)\\\\108=x^2-3x\\\\x^2-3x-108=0

Now we will find the roots of x by factorizing the equation we get;

x^2-12x+9x-108=0\\\\x(x-12)+9(x-12)=0\\\\(x-12)(x+9)=0

Now we will solve for 2 values of x we get;

x-12=0\\\\x=12\ ft\\\\Also;\\\\x+9=0\\\\x=-9\ ft

Now we get 2 values of 'x' one positive and one negative.

Since x is base of the triangle which cannot be negative.

so we will discard the negative value.

Hence;

base of triangle = 12 ft

Height of the triangle = 2x-6=2\times12-6 =24-6 =18\ ft

Hence Base of the mirror is 12 feet and height of the mirror is 18 feet.

7 0
3 years ago
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