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horsena [70]
3 years ago
11

Can someone please explain how to solve this problem(31)

Mathematics
1 answer:
pogonyaev3 years ago
4 0

Answer:

  (-1.92, 1.08)

Step-by-step explanation:

The <em>incenter</em> is the center of the largest circle that can be inscribed in the triangle. That circle is called the <em>incircle</em>. The incenter is at the point of intersection of the angle bisectors. For a right triangle, the <em>inradius</em> (the radius of the incircle), is found from a simple formula:

  r = (a + b - c)/2 . . . . . where c is the hypotenuse, and a and b are the legs

In your triangle, the inradius is ...

  r = (5 + 3 -√(5² +3²))/2 = 4 -√8.5 ≈ 1.08452

Among other things, this means the coordinates of the incenter are about (1.08, 1.08) from the right angle vertex, so are about ...

  incenter ≈ (-1.92, 1.08)

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If $32 dollars is 1/4 of the money she made babysitting then you would add 32 four times to reach the answer.

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5 0
3 years ago
A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much ca
Alex787 [66]

Answer:

∴35.97 mg caffeine would be left in the system after 5 hours.

Step-by-step explanation:

Given that,

A cup of coffee has approximately 310 mg of caffeine.

Caffeine decrease at a rate 35% per hour.

Exponential Function:

y(t)=y_0(1-r)^t

y(t)= Amount caffeine after t hours

y_0= Initial amount of caffeine

r= rate of decrease

t = Time in hour.

Here y(t)=?, y_0 = 310 mg, r=35%=0.35, t= 5 hours

y(t)=310(1-0.35)^5

      =35.97 mg

∴35.97 mg caffeine would be left in the system after 5 hours.

3 0
3 years ago
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7nadin3 [17]
(x+7) (x-3) is the anwer

5 0
3 years ago
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Write and solve an equation to find the unknown angle.
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There are too many to lists but one core example would be an isosceles triangle that has two adjacent sides and angles.

Let's say that the sides of an isosceles triangle are any number "x"

now since two sides of the triangle are the same we can add these two x's together.

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now the other side of the triangle can be anything you like. We can call it 4x for this example.

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Now since the angles of a triangle add up to 180 degrees
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Since both angles are now 30 degrees this will leave us with 2(30) = 60

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3 years ago
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3 years ago
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