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nevsk [136]
3 years ago
12

Work out the value of A

Mathematics
1 answer:
Mkey [24]3 years ago
6 0

Answer:

that is really so difficult ? what do you not understand here ? please let me know, if you need any further explanations.

you know what the perimeter is ? if it's the circumference, the way around the object. in other words, the distance you have to walk, when going along all sidelines of the object.

so the perimeter is the sum of of all side lengths.

56 = x - 1 + 3x + 3x + 1 = 7x

x = 8

that gives us the side lengths :

x - 1 = 7 cm

3x = 21 cm

3x + 1 = 22 cm

the formula for the area of a triangle

A = baseline × height / 2

the advantage of a right-angled triangle in this regard is that the sides enclosing the 90 degree angle are already "acting" as baseline and the height (standing on the baseline with a 90 degree angle).

so, we can simply say here, the 3x side is the baseline, and the x-1 side is also the height.

therefore,

A = 21×7/2 = 147/2 = 73.5 cm²

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What are the coordinates of the point shown on the coordinate plane?​
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Step-by-step explanation:

The coordinates of a point are the x and y-values of a point. It is organized like (x,y). The x-value is written first and then the y-value. The x-value is the "run" or the horizontal value; so, the value of the axis on the bottom. The y-value is the "rise" or the vertical value. The axes are also labeled. For this graph, the x-value is 5 and the y-value is 4. The final answer is (5,4).

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(1 point) A certain magical substance that is used to make solid magical spheres costs $800 per cubic foot. The power of a magic
Dmitrij [34]

Answer:

The answer is "r=0.175 \ ft"

Step-by-step explanation:

using formula:

\to \text{profit = revenue-cost}

\to revenue = 70 \times 4\pi r^2 = 280\pi r^2\\\\\to  cost = 800 \times \frac{4}{3} \pi r^3 = \frac{3200}{3} \pi r^3

so,

\to profit (p)= 280\pi r^2 - \frac{3200}{3} \pi r^3\\\\\text{max profit when}\\\\\to 560 \pi r-3200 \pi r^2=0

\to  \pi r(560 -3200r)=0\\\\ \to (560 -3200r)=0\\\\\to 3200r=560\\\\\to r=\frac{560}{3200}\\\\\to r=\frac{56}{320}\\\\\to r=\frac{7}{40}\\\\\to r=0.175 \ ft  

3 0
3 years ago
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