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2 years ago

Your family wants to purchase a new laptop with

Mathematics

1 answer:

zloy xaker [14]2 years ago

8 0

Answer:

The laptop will not fit in the case.

Step-by-step explanation:

We need to find the width of the laptop to know if it fits in the case. We have:

For the laptop:

h: is the height of the laptop = 10 inch

d: is the widescreen of the laptop (diagonal) = 17 inch

w: is the width of the laptop =?

For the laptop case:

H: is the height of the laptop case = 10.5 inch

W: is the width of the laptop case = 13 inch

So, the width of the laptop can be found by using Pitagoras:

$d^{2} = w^{2} + h^{2}$

$w = \sqrt{(17 inch)^{2} - (10 inch)^{2}} = 13.7 inch$

Hence, the laptop is 13.7 inches wide.

Therefore, since the laptop is wider than the case, the laptop will not fit in the case.

I hope it helps you!

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The company sold four more than three times as many cars this month compared to last month. If 37 were sold this month, how many

belka [17]

11 were sold last month

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2 years ago

If CE= 7x+4 x+3 + 8x-9 = 7x+4

MA_775_DIABLO [31]

The answer is 39.

Explanation:
To find the x, you need to start by adding your “like” terms on each side of the equal sign. This means the parts that you can add together. So, on the left side, you would add 3 and -9 together, which will make -6. Then, you would add x and 8x together, which would make 9x. So your left side will look like “9x-6”. There is nothing you can add together on the right side, so now you move on to the second step: combining the terms on both sides. You can do this by knowing that the opposite of subtraction is addition, and it’s the same the other way. Let’s look at our equation now:
9x-6=7x+4

9x and 7x are “like terms” so we can subtract. So now we have:
2x-6=4

We still need to make x be by itself, so now we can move the -6 over to the 4. We add because the opposite of subtraction is addition. So now we have:
2x=10

When a number is next to a missing number, that means they are being multiplied, and the opposite of multiplication is division. So we can divide 10 by 2, which equals five. So, x=5 and we can add that to our other missing number, CE. Replace “x” with “5” and you will see that CE=39.

4 0

2 years ago

these polygons are similar. find the similar ratio. any help ? please? ( also how do I ask a question ok here without typing 20

NNADVOKAT [17]

Answer: Choice B) 3/5

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

Explanation:

The smaller horizontal side is JM = 15
The larger horizontal side is NQ = 25

The ratio of these corresponding sides is:
small/large = 15/25 = (5*3)/(5*5) = 3/5

----------------

Alternatively,

The smaller vertical side is ML = 18
The larger vertical side is QP = 30

The ratio of these corresponding sides is:
small/large = 18/30 = (6*3)/(6*5) = 3/5

----------------

Either way, the answer is 3/5

4 0

2 years ago

Fill in the blank by performing the indicated elementary row operation(s).

Scilla [17]

In this question, we are given a matrix, and we have to perform the given operation.

The matrix is:

$\left[\begin{array}{ccc}6&-1&|5\\1&-5&|0\end{array}\right]$

The following operation is given:

$R_1 \rightarrow -6R_2 + R_1$

In which $R_1$ is the element at the first line and $R_2$ is the element at the second line.

Updating the first line:

$R_{1,1} = -6*1 + 6 = 0$

$R_{1,2} = -6*-5 - 1 = 30 - 1 = 29$

$R_{1,3} = -6*0 + 5 = 5$

Thus, the filled matrix will be given by:

$\left[\begin{array}{ccc}0&29&|5\\1&-5&|0\end{array}\right]$

For another example where row operations are applied on a matrix, you can check brainly.com/question/18546657

6 0

2 years ago

1. Demonstrate the validity of the following identities by means of truth tables: (5 pts each) a. DeMorgan’s theorm for three va

ollegr [7]

Answer:

All the three statements presented are indeed valid and satisfy the De Morgan's theorem.

Step-by-step explanation:

The truth tables are presented in the attached images.

a) The statement (X + Y + Z)' = (X'Y'Z') has its proof in the first image attached.

b) The statement (XYZ)' = (X' + Y' + Z') has its proof in the second image attached.

c) The statement (X + YZ) = (X + Y)(X + Z) has its proof in the third image attached.

3 0

3 years ago