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Marysya12 [62]
2 years ago
10

If π is rounded to a whole number, what is a reasonable estimate for the circumference of a circle with a diameter of 9 cm?

Mathematics
1 answer:
mel-nik [20]2 years ago
8 0
Pi rounded to a whole number would equal three. Circumference equals 2pi*r. The radius in this case is half of the diameter, so 4.5 cm. 2 times pi, or three equals 6 times 4.5 is 27
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On a state map, a cartographer plots Texmath at coordinates (2, 2) and Lonestar Village at coordinates (9, 16). How far is it fr
Digiron [165]

Since two points are given, we can use the distance formula in order to know hpw far is it from Texmath to Lonestar Village. Distance formula is written as

Distance = \sqrt{ ( x_{2} - x_{1}  )^{2} +(y_{2} - y_{1}  )^{2}  }

Substituting the values, we have:

Distance = \sqrt{ ( 9-2 )^{2} +(16-2)^{2} }

= \sqrt{7^2 +14^2}

= √245 = 15.65 units

7 0
2 years ago
Read 2 more answers
Jose wants to start a restaurant and is writing a business proposal. His rent is $1,000 per month. The monthly operating costs a
Harman [31]

Answer:

Revenue =  5( 1000 + w+ k)

Step-by-step explanation:

Lets calculate expenses first

rent = $1000

wages = w

overhead cost = k

Total cost = rent + wage+ overhead

Total cost = 1000 + w+ k

Given Jose wants his monthly sales revenue, x, to be 4 times greater than the operating costs

Let revenue be R

Thus, putting the statement mathematically

revenue - total cost = 4 * operating cost

R - ( 1000 + w+ k) = 4( 1000 + w+ k)

R =  4( 1000 + w+ k) + ( 1000 + w+ k)

R =  5( 1000 + w+ k)

Thus, revenue should be  5( 1000 + w+ k).

4 0
2 years ago
-4(3/2x - 1/2) = -15
adelina 88 [10]

Answer:

2.8333333333333333333

Step-by-step explanation:

I have high iq

-4(3/2x - 1/2) = -15

Distribute -4

-6x + 2 = -15

Subtract 2 from both sides

-6x = -17

Divide 6 from both sides

x = 2.83333333333333333

4 0
1 year ago
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
Margaret [11]

Answer:

The correct option is 3.

Step-by-step explanation:

Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.

J = 90°, J' = 90°

K = 65°, K' = 65°

L = 25°, L' = 25°

In a rigid transformation the  image and pre-image are congruent. Reflection, translation and rotation are rigid transformation.

In a non rigid transformation the image and pre-image are similar. Dilation is a non rigid transformation.

In a rigid or a nonrigid transformation, the corresponding angles are same. If the corresponding sides are same, then it is a rigid transformation and if the corresponding sides are proportional, then it is a non rigid transformation.

It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.

Therefore option 3 is correct.

6 0
2 years ago
Read 2 more answers
The total cost of a jacket and a pair of shoes was $99.15. if the price of the jacket was $5.81 less than the pair of shoes, wha
faust18 [17]
Let x = price of shoes
Then price of jacket would be x - 5.81
Combining the two would give you
x + x - 5.81 = 99.15
combining like terms simplifies to 2x - 5.81 = 99.15;
now adding 5.81 to both sides of the equal sign leaves
2x = 104.96
and finally, dividing both sides by 2, gives x = $52.48; which is the cost of the shoes.  Recall, the cost of the jacket is 5.81 less than the cost of the shoes.
so, COST OF THE JACKET is 52.48 - 5.81 = $46.67
4 0
1 year ago
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