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Yuliya22 [10]
3 years ago
11

Can’t figure out how to figure out the diameter from the area..... Btw look at the image

Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0

Answer:

2.26 in

Step-by-step explanation:

Given:  the area of the slice is 4 in^2.

The formula for the area of a circle is A = (pi)(r)^2, where r is the radius.

Therefore,

A = 4 in^2 = (pi)(r^2), or

   

         4 in^2

r^2 = ------------ = 1.273

             pi

Since the area of the slice is A = (pi)(r^2), and since (d/2)^2 = r^2 = d^2/4

A =  (4 in^2) = (pi)(d^2 / 4)

Solving for d^2, we divide both sides by pi/4, obtaining:

4 in^2

---------- = d^2  = 5.093 in^2

 pi/4

and so d = √5.093 = 2.26 in (to the nearest 100th)

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Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
ivolga24 [154]

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

7 0
2 years ago
What is the inverse function of d(x) = 2x - 4?
Naddik [55]
Let d(x) = 2x - 4

Or

y = 2x - 4

We have replace x = y

x = 2y - 4

Now Isolate "y"

x + 4 = 2y

Pass "2" dividing

(x + 4) / 2 = y

y = x/2 + 2

Or

d(x)^-1 = x/2 + 2

7 0
3 years ago
A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per mi
crimeas [40]

Answer:

450 minutes

Step-by-step explanation:

Given

w = 45000 - 100t

Required

Determine how long it'll take to empty the pool

Being empty means there's no water in the pool.

So, we have to set w to 0 to get the value of t

i.e w = 0

Substitute 0 for w in w = 45000 - 100t

0 = 45000 - 100t

Collect Like Terms

100t = 45000

Divide through by 100.

t = 450

Hence, it'll take 450 minutes to empty the pool

8 0
3 years ago
Can someone help me with number 10, 11, 12, 15, and 16 I don’t understand them thanks
yanalaym [24]

10)

10^2-48:6+25*3=100-8+75=167

11)

8(\frac{16}{4} )+2^2-11*3=32+4-33=3

12)

(\frac{6}{3} +4)^2:4*7=(2+4)^2:4*7=6^2:4*7=36:4*7=9*7=63

13) (your answer is incorrect)

5(9-4)^2-3^2=5*5^2-3^2=5*25-9=125-9=116

14) (your answer is incorrect)

5^2-2^2*4^2-12=25-4*16-12=25-64-12=-51

15)

(\frac{50}{5^2} )^2:4=(\frac{50}{25} )^2:4=2^2:4=4:4=1

16)

\frac{24+32+30+28}{2}-expression to represent this situation

\frac{24+32+30+28}{2}=\frac{114}{2}=57

Answer: In 1 group 57 students

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia :^)

4 0
3 years ago
. Jorge has a recipe that calls for 2 1/3 cups of flour. He plans to make 1 1/2 times the recipe.Will the amount of flour Jorge n
katovenus [111]
So you multiply 2 1/3times 1 1/2 and you get 3 and 1/6
7 0
3 years ago
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