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3 years ago

Please someone help me with this question below i am really stuck.

Mathematics

1 answer:

o-na [289]3 years ago

7 0

9514 1404 393

Answer:

£59.25

Step-by-step explanation:

The tricky part here is finding the height of the trapezoid shape of the lawn. You will notice the difference in lengths of the parallel edges is 20-12 = 8 meters. This means you can use the Pythagorean theorem to find the missing height, as it is the second leg of a right triangle with one leg 8 and hypotenuse 17.

h^2 = 17^2 -8^2 = 289 -64 = 225

h = √225 = 15

So, the lawn's shape is a trapezoid with bases 20 and 12 and height 15. These can go into the area formula ...

A = 1/2(b1 +b2)h

A = 1/2(20 +12)(15) = 240 . . . . . . square meters

That area is 2.4 times 100 square meters. That means 2.4 cans of weedkiller are all that are needed. If we can only purchase whole cans, then we need to purchase 3 cans of weedkiller, for a cost of ...

£19.75 × 3 = £59.25

The cost of the cans of weedkiller needed will be £59.25.

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slava [35]

We have been given that a line $y=mx+b$ passes through the point (10, 3) and is parallel to the line $2x+5y=12$ . We are asked to find the y-intercept of the line.

First of all we will rewrite our given equation in slope-intercept form as:

$2x-2x+5y=12-2x$

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$\frac{5y}{5}=-\frac{2}{5}x+\frac{12}{5}$

$y=-\frac{2}{5}x+\frac{12}{5}$

We know that slope of parallel lines is equal, so slope of parallel line to our given line would be $-\frac{2}{5}$ .

Now we will use slope-intercept form of equation to find y-intercept.

$y=mx+b$ , where,

m = Slope,

b = The y-intercept.

Let us substitute $m=-\frac{2}{5}$ and coordinates of point $(10,3)$ in above equation as:

$3=-\frac{2}{5}(10)+b$

$3=-2(2)+b$

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$7=b$

Therefore, the y-intercept is 7 and our required equation would be $y=-\frac{2}{5}x+7$ .

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3 years ago

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MariettaO [177]

Answer:

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Step-by-step explanation:

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3 years ago

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Mariana [72]

Answer:

Step-by-step explanation:

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Angle 8 & angle 12 are corresponding angles, so they are equal.

If we solve for the measure of angle 8, it will be the same answer as angle 12.

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