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tatiyna
3 years ago
7

A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30.77 feet,

what is the area that will be painted grey? Use 3.14 for π, and round to the nearest square foot
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Answer:

37.7 ft²

Step-by-step explanation:

2×3.14×r=30.77

<em>Divide both sides by 2</em>

3.14×r=15.385

<em>Divide both sides by 3.14</em>

r≈4.9

3.14×r²

3.14×4.9²=

24.01×3.14≈

75.4

75.4÷2=

37.7

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Step-by-step explanation:

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5 0
2 years ago
Matt and Mark went to El Rodeo to have some dinner. Matt ordered 3 tacos and 2 enchiladas, which cost him $4.93. Mark ordered 2
lord [1]

Answer:

The cost of one taco is $0.87 and the cost of one enchilada is $1.16

Step-by-step explanation:

Let the cost of tacos be X

and cost of enchiladas be y

So, by using given data, we have following equations

3X + 2Y = 4.93             (1)

2X + 4Y = 6.38             (2)

So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.

= 2 × ( 3X + 2Y = 4.93)       (1)

= 3 × (2X + 4Y = 6.38)        (2)

= - (6X + 4Y = 9.86)              (1)

= 6X + 12y = 19.14            (2)

= 8Y = 9.28

Y = 9.28 ÷ 8 = 1.16

By putting the value of Y in equation 1, we get

3X + 2(1.16) = 4.93

3X + 2.32 = 4.93

X = 2.61 ÷ 3 = 0.87

Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.

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3 years ago
Vineet solved a system of equations by substitution. In his work, he substituted an expression for one of the variables and solv
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He can conclude that the system of equations has no solution since one equation in it always results with false equivalency.

Hope this helps.

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