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11Alexandr11 [23.1K]
3 years ago
10

Ashton plans to put a fence around his circular garden. When Ashton walks from one side of the garden to the other, through the

middle, it is 7.5 metres. Fencing is sold in 1m pieces and costs $8.99 per meter. Find the circumference of the garden. How much will it cost for Ashton's new fence? 2.
Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Answer:

Circumference:   C = 7.5π m.  This is approximately 23.56 m

Total fencing cost:  $215.76

Step-by-step explanation:

Ashton walks along the diameter of the garden, which is 7.5 m.

The circumference formula C = πd yields C = 7.5π m.  This is approximately 23.56 m, which we must round up to 24 m, and which calls for 24 - 1 m pieces at $8.99 each.

The desired fencing would cost (24 m)($8.99/m), or $215.76

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I need help with coming up with equation
Natali5045456 [20]

Let's call a child's ticket c and an adult's ticket a. From this, we can say:

c + a = 116,

since 116 tickets are sold in total.


Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus

\$17000 \cdot (1 - \dfrac{1}{4}) = \$12750.


Given these values, we can say:

17000a + 12750c = 1653250,

since each adult ticket a costs 17,000 and each child's ticket c costs 12,750, and these costs sum to 1,653,250.


Now, we have two equations:

17000a + 12750c = 1653250

c + a = 116


Let's solve:

17000a + 12750c = 1653250

a = 116 - c

  • Find a on its own, which will allow us to substitute it into the first equation

17000(116 - c) + 12750a = 1653250

  • Substitute in 116 - c for a

1972000 - 17000c + 12750c = 1653250

  • Apply the Distributive Property

1972000 - 4250c = 1653250

  • Combine like terms

4250c = 318750

  • Subtract 1972000 from both sides of the equation and multiply both sides by -1

c = 75


We have now found that 75 child's tickets were sold. Thus,

75 + a = 116 \Rightarrow a = 116 - 75 = 41,

41 adult tickets were sold as well.


In sum, 41 adult tickets were sold along with 75 child tickets.

6 0
3 years ago
Determine the number of possible triangles, ABC, that can be formed given A = 30°, a = 7, and b = 18.
zzz [600]

Answer:

none

Step-by-step explanation:

We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.

According to the 'Law of Sines- Ambiguous Case', we have,

If a < b×sinA, then no triangle is possible.

If a = b×sinA, only one triangle is possible

If a > b×sinA, two triangles are possible.

So, we have,

b×sinA = 10 × sin30 = 10 × 0.5 = 5.

Now, as

4 = a < bsinA = 5.

We get, according to the rule, no triangle is possible.

8 0
2 years ago
What is 9 to the power of -3
larisa86 [58]

Answer: 1/729

.........................

3 0
3 years ago
F(x)=2x^2+3 and g(x)=x^2-7 find (f+g)(x)
defon

Answer:

3x^2 -4

Step-by-step explanation:

F(x)=2x^2+3 and g(x)=x^2-7

(f+g)(x) =

We add the two functions together

(f+g)(x) =2x^2+3+x^2-7

I like to line them up vertically

(f+g)(x) =

2x^2 +3

+x^2  -7

------------------

3x^2 -4

3 0
3 years ago
Please help. Please explain. Please get it correct!
dangina [55]

Answer:5/6

Step-by-step explanation:

5 0
2 years ago
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