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Arada [10]
3 years ago
7

A square hamburger is centered on a circular bun. Both the bun and the burger have an area of 16 square inches. How far, to the

nearest hundredth of an inch does each corner of the burger stick out from the bun? Explain.

Mathematics
1 answer:
natta225 [31]3 years ago
8 0
The radius of the bun (r) is given by
.. 16 in^2 = πr^2
.. r = (4 in)/√π ≈ 2.25676 in

The distance from the corner to the center of the square hamburger is
.. d = 4 in/√2 = 2√2 in ≈ 2.82843 in

The burger will stick out
.. (2.82843 -2.25676) in ≈ 0.57 in

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Enter the finite geometric series from its given description, and then enter its sum.
Mama L [17]

Answer:

a_n= 4(-5)^{(n-1)}

-10416

Step-by-step explanation:

a = 4

r = -5

geometric series:  a_n=ar^{(n-1)} = 4(-5)^{(n-1)}

Determine which term = -12500:

a_n=-12500

4(-5)^{(n-1)}=-12500

(-5)^{(n-1)} = -3125

(5)^{(n-1)} = 3125

(n-1)ln(5) = ln(3125)

n-1 = ln(3125)/ln(5) = 5

n = 5 + 1 = 6

a_6=-12500

Using geometric sum series formula: S_n=\frac{a(1-r^n)}{1-r}

Therefore, S_6=\frac{4(1-(-5)^6)}{1-(-5)} =\frac{-62496}{6} =-10416

4 0
2 years ago
Find the equation of the line that passes through the point (-5,7) and is perpendicular to the line y=-x+12.
insens350 [35]

Answer:

y=x+12

Step-by-step explanation:

y=-x+12; is a line with slope m1=-1

to find perpendicular slope of intersecting line take the negative inverse of m1. so -1*(1/(-1))=1=m2

use equation for a line of y=m*x+b and put in the point (-5,7) and solve for b=the y axis intercept

7=1*(-5)+b

7=-5+b

12=b

so

y=x+12

8 0
2 years ago
Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes. The distance from Hickory Hills t
beks73 [17]

Answer: V=51\ \frac{mi}{h}

Step-by-step explanation:

You need to used the following formula:

V=\frac{d}{t}

Where "V" is the speed, "d" is the distance and "t" is the time.

In this case you know that Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes (which is \frac{1}{3}\ h) and the distance is 17 miles. Then, you can identify that:

t=\frac{1}{3}\ h\\\\d=17\ mi

Therefore, knowing these values, you can substitute them into the formula. Then, you get:

V=\frac{17\ mi}{\frac{1}{3}\ h}\\\\V=51\ \frac{mi}{h}

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3 years ago
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ahrayia [7]

Answer: 100,000

Step-by-step explanation:

Given :

logx - 2 = 3

add 2 to both sides

log x = 5

Therefore :

x = 10^{5}

x = 100,000

4 0
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