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poizon [28]
3 years ago
15

Find the radius of a circle in which an inscribed square has a side of 8 inches.

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
4 0
If the inscribed square has sides of 8in, the diameter of the circle is equal to the diagonal of the square.

d^2=x^2+x^2

d^2=2x^2

d=√(2x^2)

Since d=2r, r=d/2 so

r=(1/2)√(2x^2)

r=√((2x^2)/4)

r=√(x^2/2), since x=8

r=√(64/2)

r=√32  

r=√(16*2)

r=4√2 in (exact)

r≈5.66 in (to nearest hundredth of an inch)
Vladimir79 [104]3 years ago
4 0

Answer: 4^2

Step-by-step explanation:

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Graphic DesignWorks ships the T-shirts it makes in boxes that measure 20 in
dsp73

Answer: 416 boxes

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of each box and the volume of the storage space.

Since both are rectangular prisms:

Volume = length x width x height

Box of t -shirts = 20 x 16 x 12 = 3,840 cubic feet

Storage = 200 x 200 x 40 = 1,600,000 cubic feet  

Next, we have to divide the storage's volume by the volume of each box:

1,600,000 / 3,840 = 416.6 =416 boxes  

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
A rowing team rowed 90 miles while going with the current in the same amount of time as it took to row 10 miles going against th
SVETLANKA909090 [29]

Answer:

5mph

Step-by-step explanation:

Let speed of boat in still water is s.

Distance proportional to speed

90/10 = (s+ 4)/(s - 4)

=> 9s - 36 = s + 4

=> 8s = 40

=> s= 5 mph

:-)

8 0
2 years ago
PLEASE HELP MEE
KATRIN_1 [288]

Answer:

I'm only going to find the value of each variable

Step-by-step explanation:

V,Z,W,Y=39

X=94

Sorry, I didn't know how to explain the relevant angle relationships. '-' :(

8 0
3 years ago
A tourist purchases a car in england and ships it home to the united states. the car sticker advertised that the car's fuel cons
Valentin [98]

<u>Solution-</u>

Fuel consumption rate = 40 miles per UK gallon (As the car is manufactured in UK)

1 UK gallon = 4.5459631 lit

1 US gallon = 3.7853060 lit

\therefore \frac{1 \ UK \ gallon}{1 \ US \ gallon} = \frac{4.5459631}{3.7853060} = 1.2009499

\Rightarrow 1 \ UK \ gallon = 1.2009499 \ US \ gallon

As the fuel consumption rate = 40 miles per gallon

⇒ You need 1 UK gallon of fuel to go 40 miles

⇒ You need 1.2009499 US gallon of fuel to go 40 miles

Or you can say that, to go 40 miles you need 1.2009499 US gallon of fuel

⇒ To go 1 mile you will need  \frac{1.2009499}{40} = 0.0300237

⇒ To go 738 miles you will need 0.0300237×738 = 22.1574906 US gallon of fuel

∴ 22.1574906 gallon of fuel is actually required.

∴ But, what she thinks will require is \frac{738}{40} = 18.45 gallons (As she calculated using UK gallons)

6 0
3 years ago
The set of all positive integers that are divisible by both 15 and 35 is infinite. What is the least positive integer in this se
solniwko [45]

Answer:

105

Step-by-step explanation:

A "set" is a group of numbers.

A "positive integer" is a whole number that's bigger than zero.

"divisible by both 15 and 35" means a number that 15 and 35 goes into (with no remainder)

"least" means smallest.

15 and 35 both go into 105.

3 0
2 years ago
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