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iren2701 [21]
3 years ago
13

Carol makes a scale drawing of her school using a scale of 8cm:12m. If the length of the playground on the scale drawing is 12.4

cm, what is the actual length of the playground?
Mathematics
1 answer:
mojhsa [17]3 years ago
6 0
A scale of 8cm:12cm would be a scale of 2/3. since this is the case, we can divide the scale drawing of the playground by the scale factor to get the length of the actual playground

12.4/0.6666 = 18.6

The answer is 18.6
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The zeros of a parabola are –4 and 2, and (6, 10) is a point on the graph. Which equation can be solved to determine the value o
Oliga [24]
The equation of the parabola is
.. y = a(x +4)(x -2)

Substituting (x, y) = (6, 10) gives
.. 10 = a(6 +4)(6 -2)

The 4th selection is appropriate.
7 0
3 years ago
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If m and n are off then is mn even?
11111nata11111 [884]

Answer:

No, mn is not even if m and n are odd.

If m and n are odd, then mn is odd as well.

==================================================

Proof:

If m is odd, then it is in the form m = 2p+1, where p is some integer.

So if p = 0, then m = 1. If p = 1, then m = 3, and so on.

Similarly, if n is odd then n = 2q+1 for some integer q.

Multiply out m and n using the distribution rule

m*n = (2p+1)*(2q+1)

m*n = 2p(2q+1) + 1(2q+1)

m*n = 4pq+2p+2q+1

m*n = 2( 2pq+p+q) + 1

m*n = 2r + 1

note how I replaced the "2pq+p+q" portion with r. So I let r = 2pq+p+q, which is an integer.

The result 2r+1 is some other odd number as it fits the form 2*(integer)+1

Therefore, multiplying any two odd numbers will result in some other odd number.

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

Examples:

  • 3*5 = 15
  • 7*9 = 63
  • 11*15 = 165
  • 9*3 = 27

So there is no way to have m*n be even if both m and n are odd.

The general rules are as follows

  • odd * odd = odd
  • even * odd = even
  • even * even = even

The proof of the other two cases would follow a similar line of reasoning as shown above.

4 0
2 years ago
A room 9m wide has a span roof which slopes at 34 degrees on one side and 44 degrees on the other. Find the length of the roof s
ivann1987 [24]

Answer:

Slope sides are;

5.07 m and 6.39 m

Step-by-step explanation:

I've attached a drawn diagram showing a triangle representing the roof slopes and I have attached it.

From the image attached, the missing angle is θ.

From sum of angles in a triangle,

θ = 180 - (44 + 34)

θ = 102°

Now, a & b represent the slopes of the roof.

Thus, using law of sines which is that;

a/sin A = b/sin B = c/sin C, we can solve as follows;

a/sin 34 = 9/sin 102

a = (9 × sin 34)/sin 102

a = (9 × 0.5512)/0.9781

a = 5.07 m

b/sin 44 = 9/sin 102

b = (9 × sin 44)/sin 102

b = (9 × 0.6947)/0.9781

b = 6.39 m

4 0
3 years ago
What is the value of x^3\cdot y^1x ​3 ​​ ⋅y ​1 ​​ x, start superscript, 3, end superscript, dot, y, start superscript, 1, end su
satela [25.4K]

The expression x^3y means that you have to cube the value of x and multiply it by the value of y.

So, the value of x is 5, which becomes 125 when cubed. When we multiply it by the value of y, which is 10, the result is 1250:

x^3y = 5^3\cdot 10 = 125\cdot 10 = 1250

3 0
3 years ago
Help... pretty pleaseeee
VMariaS [17]

Answer:

I think the answer is the last choice

3 0
3 years ago
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