There are five parts to the ratio:
18 ÷ 5 is 3.6.
Therefore you need 10.8l of white paint and 7.2l of blue paint.
10.8l * 2.80 = £30.24
7.2l * 3.50 = £25.20
The total is <span>£55.44</span>
Answer:
13. 108 inches
14. not similar (sides have different ratios)
15. 68
Step-by-step explanation:
13. You have two relationships between length and width:
2L + 2W = 336 . . . . . the perimeter is 336 inches
L/W = 9/5 . . . . . . . . . .the ratio of length to width is 9/5
Multiplying the second equation by 5/9W, we get
5/9L = W
Now we can substitute that into the first equation to get ...
2L +2(5/9L) = 336
Multiplying by 9 gives us ...
18L +10L = 3024
And dividing by 28 gives ...
3024/28 = L = 108 . . . . inches
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14. Shortest to longest, the ratios of sides are 6 : 8 : 9 and 2 : 4 : 5. There is no value that will multiply the first ratio to give the second ratio. For example, multiplying by 1/3 gives ...
2 : 2 2/3 : 3 . . . . <u>not</u> 2 : 4 : 5
Similar triangles have the same side ratios. These do not, so they are not similar triangles.
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15. MP is a midsegment of triangle JKL and parallel to base JL. A midsegment is half the length of the parallel base. Then JL is twice as long as MP. JL is 68 units long.
Answer: See attached
Step-by-step explanation:
[1] Looking at the function, this will be a parabola.
[2] We know that the x-intercepts, where the line hits the x-axis, will be -1 and 2 because of the factored part given
-> (x + 1)(x - 2)
-> (x + 1) gives us -1 and (x - 2) gives us 2
[3] We will graph the given function.
-> See attached
-> <em>I kept the scale the same as the screenshot you gave (which is 5 to -5 for both the y-axis and the x-axis)</em>
(c) multiply by 0.4
given 
= 10
multiply both sides by 0.4 to eliminate the fraction
x = 0.4 × 10 = 4
and 
= 10
x = side length
Area of a square = x^2
Area of a cube = x^3
The squaring operation is directly tied to the geometric shape of a square. The naming is not a coincidence. The same can be said about the cubing exponent being connected to a 3D cube in geometry.
Notice how x^3 can be written as x^2*x. Buried inside the volume of a cube formula is the area of a square. We can effectively rewrite that second equation as
volume of a cube = (area of a square)*x
where x is the side length of the cube and square
This idea of tying together the volume and area like this will be helpful when setting up other volume formulas (eg: volume of a prism).
