What is -5/8 / 9/10 ?<br><br> A. -25/36<br><br> B. -9/16<br><br> C. -45/80<br><br> D. -1/36

Anarel [89]

Part A: the radicand is the same as the discriminant, therefore is b2 - 4ac
In 9x^2 - 16x + 60 = 0, a = 9, b = -16, c = 60
so b2 - 4ac =
${b}^{2} - 4ac = {( - 16)}^{2} - 4(9)(60) \\ = 256 - 2160 = 1904 \\ \sqrt{1904} = + 43.63 \: and \: - 43.63$

Part B: Solve 4x^2 + 8x - 5 = 0
What would make 8? (5×2)-2 = 8, so:
(2x+5)(2x-1) = 0
2x+5 = 0
2x = -5
x = -5/2
2x-1 = 0
2x = 1
x = +1/2
So the solutions are: -5/2, +1/2

5 0

2 years ago

Jackie cut a piece of paper along its diagonal, as shown below, forming two triangles.

harina [27]

Answer:

B. The two dimensions are the same in the triangles as they were in the rectangle.

Step-by-step explanation:

Given

Initial Shape: Rectangle (Before cut)

Final Shape: Triangles (After cut)

<em>Note that this can be explained properly with the use of attachments</em>

See attachment 1 for Before Cut

Before Cut represent the full rectangle before Jackie cut the piece of paper.

Let H and B represent the height and base of the triangle

Given that the rectangle is cut diagonally, this means that the cutting starts and ends at the opposite edges of the rectangle

See attachment 2 for After Cut

After Cut represent the two triangles after cutting the rectangle

From the attachment, you'll observe that the dimension of the two triangles (Triangle 1 and Triangle 2) are the same as it is with the rectangle;

In other words, the two triangle have their heights as H and their bases as B.

Hence, it can concluded that the two dimensions are the same in the triangles as they were in the rectangle.

4 0

3 years ago

Read 2 more answers

Which fraction converts to a repeating decimal? Question 8 options: A) 412 B) 48 C) 42 D) 410

aleksandr82 [10.1K]

Unfortunately, you have not shared any of the fractions in question. 412, 48, 42 and 410 are all "integer" or "whole" numbers. Please share the entire question.

Example: 48 2/3 can be re-written with a repeating decimal:

48 2/3 = 48.666666666 .....

3 0

3 years ago

At the Tesla factory, a machine tests 1 out of every 75 windshields produced for quality. The machine requires a safety inspecti

Sloan [31]

Answer:

pretty sure it's 675

Step-by-step explanation:

could be wrong but if there are 303,750 windsheilds per year and the machine needs an inspection after every 450 you just divide them.

6 0

3 years ago

#1. The area of a square tile is 53.4cm^2. find the length of one side of the tile, rounded to the nearest 10th.

andrey2020 [161]

Problem 1

<h3>Answer: 7.3</h3>

Explanation: Apply the square root to the area to get the side length. This only applies to areas that are squares (hence the name).

==================================================

Problem 2

<h3>Answer: C) 1.3</h3>

Explanation: Use your calculator to find that choices A,B,D plugged into the square root function yield terminating decimal values. "Terminating" means "stop". This implies that they are perfect squares (though not perfect squares in the sense of whole number perfect squares which you may be used to). Choice C is the only value that has a square root that leads to a non-terminating decimal. The digits of this decimal go on forever without any pattern. The value is irrational.

sqrt(5.29) = 2.3 terminating decimal
sqrt(13.69) = 3.7 terminating decimal
sqrt(1.3) = 1.140175425 keeps going forever without any pattern
sqrt(0.09) = 0.3 terminating decimal

==================================================

Problem 3

<h3>Answer: 23.6 feet approximately</h3>

Explanation: Apply the square root to 15.5 to get roughly 3.937; this is the approximate side length of one square. Six of these tiles placed together will lead to a total length of roughly 6*3.937 = 23.622 which rounds to 23.6 feet. Like with problem 1, the square root being used like this only works for square areas.

5 0

3 years ago

Read 2 more answers

What is -5/8 / 9/10 ? A. -25/36 B. -9/16 C. -45/80 D. -1/36