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makvit [3.9K]
3 years ago
11

McDonald's has sold more than a billion hamburgers. If it were possible to eat a hamburger every minute of everyday (day and nig

ht) without stopping, how many years would it take to eat a billion hamburgers? 
Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0
500mil is the answer of course
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The segment GH and GI are tangent
vodka [1.7K]

Answer:

  OG = 8.7

Step-by-step explanation:

The angle a tangent makes with a radius at the point of tangency is a right angle. That means ΔOGH is a right triangle.

The tangents to a circle from an external point are congruent, so GH = GI = 6.3. Now we know the sides of the right triangle are of lengths 6 and 6.3. The hypotenuse, OG is found using the Pythagorean theorem.

  OG² = OH² +GH²

  OG² = 6² +6.3² = 75.69

  OG = √75.69 = 8.7

The length of OG is 8.7 units.

______

<em>Additional comment</em>

You might recognize this triangle as a 0.3 multiple of the Pythagorean triple (20, 21, 29).

8 0
3 years ago
2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.
Andrei [34K]

Let x and x+1 be these consecutive integers. For some base b, we can write

(x_{10})^2=220_b=2b^2+2b

((x+1)_{10})^2=251_b=2b^2+5b+1

If

x^2=2b^2+2b

then

x^2+1=2b^2+2b+1

Now,

x^2+2x+1=2b^2+5b+1

2x+2b^2+2b+1=2b^2+5b+1

\implies2x=3b

Squaring both sides gives

4x^2=9b^2

and so

4(2b^2+2b)=9b^2

\implies8b^2+8b=9b^2

\implies b^2-8b=0\implies\boxed{b=8}

(because the base has to be non-zero)

3 0
3 years ago
I played 5 hours of video games over a 3 day weekend, and 60 hours of video games in the month
den301095 [7]

Answer:

The ratios are not equivalent

Step-by-step explanation:

First, in order to find the ratios, we have to change the month to the amount of days.

There are 30 days in April, so we will use this for the ratio.

The ratio for the 3 day weekend is 5:3

The ratio for the month of April is 60:30, which can be simplified to 2:1

So, the ratios are not equivalent, because 5:3 is not equal to 2:1

8 0
3 years ago
Jasmine has $4.90 in quarters, dimes, nickels, and pennies. She has 2 more dimes than quarters. She has 3 more nickels than quar
Ray Of Light [21]

Answer:

dw

Step-by-step explanation:

8 0
3 years ago
You have loaned a friend %100 and will charge him 5% annual simple interest when he pay it back.
Lena [83]

Answer:

bro nobody can figure this out you need to word the entire question with numbers and all. and proper English pls

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2 years ago
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