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3 years ago

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Mathematics

1 answer:

PolarNik [594]3 years ago

4 0

Answer:

A. y = -x -2

Step-by-step explanation:

thanks for the questions.

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Eduardo is painting a rectangular wall that is 96 inches high and 110 inches long. What is the area of the wall?

EastWind [94]

<h3>Required Answer:-</h3>

Here the height and length are the sides of the rectangular wall and we have to find the area.

Area of rectangle is given by:

$= l \times b$

where l is the length and b is the breadth/width according to the question. Plugging the given values:

$= 110 \times 96 \: {inch}^{2}$

$= 10560 \: {inch}^{2}$

<h3>Hence:-</h3>

The area of the wall is 10560 inch²

8 0

4 years ago

Find are of shaded region?

castortr0y [4]

Ignoring the triangle first off, it is just a parallelogram. We can find the area with:
$A_{P}=b*h=23.8 * 15=357 square ft.$ (see first diagram).

Next, we need to find the area of the triangle. Its a right angle triangle, so the area can be found by:
$A_{T} = \frac{1}{2} wl$
where w and l are the lengths of the two smaller sides. We have one, and the longer side (hypotenuse) so we can use Pythagoras' Theorem to find the other small side (see second diagram).
$b= \sqrt{ a^{2} - c^{2} } =\sqrt{ 23.8^{2} - 21^{2} }=11.2ft.$
Then find the area:
$A_{T} =0.5*21*11.2=117.6 square ft.$

Take the area of the triangle away from the area of the paralellogram:
$357-117.6=239.4 ft^{2}$

7 0

3 years ago

A cardboard box has a square base and an open top. the four sides are made of wood that costs 2 dollars per square foot, while t

serious [3.7K]

Answer:

$300

Step-by-step explanation:

Let x represent the side length of the square base in feet. Then the height of each side is ...

... h = (50 ft³)/(x ft)² = (50/x²) ft

The cost of the sides of the box is then ...

... (4 sides) × (x ft)(50/x² ft)/side × $2/ft² = $400/x

The cost of the bottom is ...

... (x ft)² × $25/ft² = $25x²

So, the total dollar cost is

... C = 400/x + 25x²

This will be a minimum where its derivative with respect to x is zero.

... 0 = -400/x² +50x

... 400/50 = 8 = x³ . . . . . add 400/x²; multiply by x²/50

... x = ∛8 = 2

For this value of x, the minimum cost is ...

... C = 400/2 + 25·2² = 300

The minimum possible cost is $300.

_____

Comments on the problem

1) Cardboard boxes are usually made of cardboard. They are rarely made of wood and alumninum.

2) The cost of the bottom is half the cost of the sides. When the dimensions are unconstrained, you will find (as here) the cost is shared equally between the bottom and pairs of opposite sides—each being 1/3 the total cost.

4 0

4 years ago

The segment that extends from the vertex of a triangle to the _____ side and is perpendicular to the side of the triangle is cal

arsen [322]

Answer:

The segment that extends from the vertex of a triangle to the opposite side and is perpendicular to the side of the triangle is called the altitude.

Step-by-step explanation:

Please find the attachment.

We have been given an incomplete statement. We are supposed to complete the given statement.

Statement: The segment that extends from the vertex of a triangle to the _____ side and is perpendicular to the side of the triangle is called the altitude.

By the definition of altitude, an altitude of a triangle is a line segment from a vertex that is perpendicular to the opposite side.

Therefore, the correct word for our given statement would be "opposite".

6 0

3 years ago

The directions say Evaluate Each Expression: |-2.3|.

Nataly [62]

| -2.3 | = 2.3

the absolute value of any number is positive, even if it says negative

8 0

4 years ago