All categories

2 years ago

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

Mathematics

1 answer:

o-na [289]2 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.

You might be interested in

Justify your reasoning

love history [14]

Answer:

Yes

Step-by-step explanation:

You can conclude that ΔGHI is congruent to ΔKJI, because you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K).

We also know that we have two congruent sides, since it provides the information that line GK bisects line HJ, meaning that they have been split evenly (they have been split, with even/same lengths).

So now we have three congruent angles, and two congruent sides. This is enough to prove that ΔGHI is congruent to ΔKJI,

7 0

2 years ago

What's the domain (-2,6),(-5,-11),(3,7),(-5,0)

kodGreya [7K]

The domain is all the x values (range is y values). Remember to put the x values in numerical order.

So: Domain = {-5, -5, -2, 3}.

3 0

3 years ago

Read 2 more answers

Write the equation of a line that goes through point (0, −8) and has a slope of 0.

liberstina [14]

Answer: y = -8

Step-by-step explanation:

Lines that have a slope of Zero means that the line is horizontal and y is always the same. So your equation is y = -8

3 0

1 year ago

Read 2 more answers

Find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)

Hunter-Best [27]

Answer:

Step-by-step explanation:

In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).

For odd positions we can put 3-M's & a X. Total ways is 4!/3! (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.

24=4!.

5 0

2 years ago

Change x + 2y = 6 into slope-intercept form.

mart [117]

Answer:

The slope intercept form involves solving for y, such that the equation looks like this: y = mx + b, where m is a constant representing the slope of the line, and b is a constant representing the value of the y-intercept.

Starting with the equation x+2y=6 and subtracting x from both sides gives 2y = -x + 6.

If we then divide each term by 2, we get the final result of y = -1/2x + 3.

Here we see that the slope (m) is equal to -1/2, and the y-intercept (b) is 3.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers