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2 years ago

How to find the area of a triangle on a coordinate plane

Mathematics

1 answer:

sukhopar [10]2 years ago

3 0

Equation of Area of Triangle = 1/2 x b x h

Find the base by counting the boxes across the bottom.

Find the height by counting the boxes from the base (bottom) to highest point on the triangle.

Insert those numbers into the equation and you get your answer.

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The table shows the numbers of students at a high school who take Spanish or Chinese. No students take both languages. What

omeli [17]

Answer: Boutta snitch on you. CHHS 10th grade

Step-by-step explanation:

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3 years ago

A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square

kondaur [170]

This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

$V = xxy = x^{2}y$

We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:

Surface area of the square base = $x^{2}$

Surface area of the rectangular sides = $4xy$

Therefore, the total area of the cube is:

$A = 48 ft^{2} = x^{2} + 4xy$

Isolating the variable y in terms of x:

$y = \frac{48- x^{2} }{4x}$

Substituting this value in V:

$V = x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3}$

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

$\frac{dv}{dx} = 48-3x^{2} =0$

Solving for x:

$x = \sqrt{\frac{48}{3}} = \sqrt{16} = 4$

Solving for y:

$y = \frac{48- 4^{2} }{(4)(4)} = 2$

Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ft
Width = 4 ft
Height = 2 ft

And its volume is:

$V = (4^{2} )(2) = 32 ft^{3}$

8 0

3 years ago

In a group of 200 high school students, 36 are taking biology, 52 are taking Spanish, and 126 are taking neither biology nor Spa

nlexa [21]

It 11% this is what i got

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3 years ago

Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the co

RUDIKE [14]

$3x + 2y = 36.5 \\ 2x + 5y = 50$
$3x + 2y = 36.5 \: \: \: (1)\\ 2x + 5y = 50 (2)\\ 2x = 50 - 5y \\ x = \frac{50 - 5y}{2} \: \: \: \: \: \: \: \: (3) \\ put \: 3 \: into \: 1 \\ 3 \frac{50 - 5y}{2} + 2y = 36.5 \\ \frac{150 - 15y}{2} + 2y = 36.5 \\ 2( \frac{150 - 15y}{2} + 2y) = 2(36.5) \\ 150 - 15y + 4y = 73 \\ 11y = 77 \\ y = 7 \\ 2x + 5(7) = 50 \\ x = 7.5 \\ wage \: working \: in \: coffee \: shop \: is \: higher \: for\: 7.5 \: per \: hour$
the answer is D

4 0

3 years ago

What is 7÷23 including the remainder

Harlamova29_29 [7]

I hope this is helpful!

Answer: 3 R2

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3 years ago

Read 2 more answers