Quadrilateral ABCD is inscribed in this circle. What is the measure of ∠A?

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lin

Anna35 [415]

Answer:

C) 52 in^3

Step-by-step explanation:

The first is to determine the formula of the volume of the box, which would be the following:

V = height * length * width

Knowing that we have a rectangular piece we will determine the maximum volume, we will double a distance x (which will be the height) in the width and length of the piece, therefore as it is on both sides, the length and width are defined from the Following way:

length = 10 - 2 * x

width = 8 - 2 * x

height = x

Now we calculate the volume:

V = x * (10-2 * x) * (8-2 * x)

To determine the maximum volume we will give values to x in order to see how it behaves:

Let x = 2.5

V = (5) * (3) * (2.5) = 37.5

Let x = 2

V = (6) * (4) * (2) = 48

Let x = 1.5

V = (7) * (5) * (1.5) = 52.5

Let x = 1

V = (8) * (6) * (1) = 48

Let x = 0.5

V = (9) * (7) * (0.5) = 31.5

It can be seen that the greatest volume is obtained when the height is equal to 1.5 and its volume is 52.5 in ^ 3

8 0

3 years ago

Graph y = 4x-9 please

stiks02 [169]

Answer:

(0, -9) (1, -5)

Step-by-step explanation:

We know from the equation y = 4x -9, that the slope of the line is 4, and the point that the line crosses the y-intercept is at -9. So, your first point would be at (0, -9) and if you go one value over on the x-coordinate, that means the y-coordinate will go 4 up. So your final point will be (1, -5). The point could also be (2, -1), (3, 3), (4, 7), (5, 11), etc.

I Hope That This Helps! :)

7 0

3 years ago

Read 2 more answers

Which coordinate pairs make the equation x-9y=12 true?

asambeis [7]

Answer:

(12,0) and (3, -1) and (0,-4/3)

Step-by-step explanation:

To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.

1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:

$x-9y=12\\(12)-9(0)=12\\12-0=12\\12=12$

12 does equal 12, so (12,0) makes the equation true.

2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:

$x-9y=12\\(0)-9(12) = 12\\0-108 = 12\\-108 = 12$

However, -108 does not equal 12, so (0,12) does not make the equation true.

3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:

$x-9y=12\\(3)-9(-1) = 12\\3 + 9 = 12\\12 = 12$

12 does equal 12, so (3, -1) makes the equation true.

4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:

$(0) -9(-\frac{4}{3} ) = 12\\0 + \frac{36}{3} = 12\\0 + 12 = 12 \\12 = 12$

12 does equal 12, so (0, -4/3) makes the equation true.

8 0

3 years ago

which measure of central tendancy is found by calculating the sum of all data in the set divided by the number of data values in

Ilia_Sergeevich [38]

The correct result to the question would be mean.

The mean (average) is found by calculating the sum of all data in the set divided by the number of data values in the set.
The median is the middle value in the list of data values.
The mode is the value which occurs most often.
The interquartile range is the difference between the third and the first quartiles.

5 0

3 years ago

How do you find 15% of a number

Mumz [18]

When you multiply a number by a percentage, you first convert the percent into a decimal.

You do this by moving the decimal point two places to the left and making the decimal point into % sign.

15% = 0.15

Then you multiply the decimal by the number you want to find the percentage of.

So, the answer to this question is A. multiple the number by 0.15

3 0

3 years ago

​Quadrilateral ABCD​ is inscribed in this circle. What is the measure of ∠A?

Quadrilateral ABCD is inscribed in this circle. What is the measure of ∠A?