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Lynna [10]
3 years ago
9

Alright, second try. 15 Points to whoever can solve with a half-decent explanation.

Mathematics
1 answer:
sesenic [268]3 years ago
5 0

Answer:

29 cans

Step-by-step explanation:

To solve this problem we must use Heron's formula; A = \sqrt{S(S-a)(S-b)(S-c)}

S = 1/2 the perimeter of the given triangle

a, b, c = the measurements of the three given sides

The first step to solving this question is first finding the perimeter.

P = 65m + 74m + 67m

P = 206m

Now that we have our perimeter, we must divide P by 2 to get S.

S = 206/2

S = 103

Now we plug our numbers into Heron's formula.

A = \sqrt{S(S-a)(S-b)(S-c)}

A = \sqrt{103(103-65)(103-67)(103-74)}

A = \sqrt{103(38)(36)(29)}

A = \sqrt{103(39672)}

A = \sqrt{4086216}

Find the square root of this number.

A ≈ 2021.43909134... m²

If a can of paint covers 70 square meters, then you will need to figure out how many cans you need. This can be done by dividing the overall area of the triangle by the area that a single can of paint can cover.

\frac{2021.43909134...}{70} = 28.8777013049...

We know we can't buy 28.87... of a can (people simply do not sell parts of cans or half-full containers... unless its a bag of lays chips and their 80% air nonsense...) so we must round up to the nearest whole number.

28.87... = 29

Thus we finally have our answer: 29 cans of paint!

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What is the factor tree of 99 and 165 and what is the GCF?
Shtirlitz [24]
99
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165
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GCF=3
5 0
3 years ago
X^2+4x+y^2-10y+20=30 find the center of the circle by completing the square
swat32

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = -\frac{4}{5}x+\frac{58}{5}

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

   [x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

   (x + 2)² + (y - 5)²- 29 + 20 = 30

   (x + 2)² + (y - 5)²- 9 = 30

   (x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

    Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

    Slope of the line joining this point to the center (-2, 5),

    m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

          = \frac{10-5}{2+2}

          = \frac{5}{4}

    Let the slope of the tangent which is perpendicular to this line is 'm_{2}'

    Then by the property of perpendicular lines,

          m_{1}\times m_{2}=-1

          \frac{5}{4}\times m_{2}=-1

                 m_{2}=-\frac{4}{5}

   Now the equation of the line passing though (2, 10) having slope m_{2}=-\frac{4}{5}

           y - y' = m_{2}(x-x')

           y - 10 = -\frac{4}{5}(x-2)

           y - 10 = -\frac{4}{5}x+\frac{8}{5}

                  y = -\frac{4}{5}x+\frac{8}{5}+10

                  y = -\frac{4}{5}x+\frac{58}{5}

Therefore, equation of the line will be, y = -\frac{4}{5}x+\frac{58}{5}

7 0
3 years ago
500 divides 25 is equal ?
Lelu [443]
500 divides 25 is equal 20
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3 years ago
Todd wants to make a snack of a number of grapes and slices of cheese. He knows that each grape has 2 calories. The slice of che
Viefleur [7K]

Answer:

The answer to your question is:

a) C = 2g + 155c

b) g = 25 grapes

c) c = 3

Step-by-step explanation:

Data

grapes = g = 2 calories

cheese = c = 155 calories

a) Equation, we consider the amount of grapes and the calores given.

Total calories = C = 2g + 155c

b) We consider that the slices of cheese stays the same

                       2g + 155 = 205

                       2g = 205 -155

                        2g = 50

                        g = 50/2 = 25 grapes

c) Then the number of grapes stays the same

                       2(25) + 155c = 515

                       50 + 155c = 515

                       155c = 515 - 50

                        155c = 465

                        c = 465/155

                        c = 3 slices of cheese

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