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podryga [215]
2 years ago
14

Which of the following statements are true?

Mathematics
1 answer:
Aneli [31]2 years ago
4 0

Answer: It’s A

Step-by-step explanation:

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For which value of x is xyza a rectangle
lisabon 2012 [21]
Well each angle in a rectangle is 90°, so if x is an angle, it's 90°

I hope that helps!
7 0
3 years ago
Find two unit vectors orthogonal to both given vectors. i j k, 4i k
Maurinko [17]
The cross product of two vectors gives a third vector \mathbf v that is orthogonal to the first two.

\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k

Normalize this vector by dividing it by its norm:

\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)

To get another vector orthogonal to the first two, you can just change the sign and use -\mathbf v.
6 0
3 years ago
Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th
zvonat [6]

The labor fee is $13.55 and each quart of oil is $2.25

Step-by-step explanation:

Let,

x be the amount of each quart of oil

y be the amount of labor fee

According to given statement;

5x+y=24.80        Eqn 1

7x+y=29.30        Eqn 2

Subtracting Eqn 1 from Eqn 2

(7x+y)-(5x+y)=29.30-24.80\\7x+y-5x-y=4.50\\2x=4.50

Dividing both sides by 2

\frac{2x}{2}=\frac{4.50}{2}\\x=2.25

Putting x=2.25 in Eqn 1

5(2.25)+y=24.80\\11.25+y=24.80\\y=24.80-11.25\\y=13.55

The labor fee is $13.55 and each quart of oil is $2.25

Keywords: linear equation, subtraction

Learn more about subtraction at:

  • brainly.com/question/116715
  • brainly.com/question/11680012

#LearnwithBrainly

6 0
3 years ago
Use complete sentences to describe how logarithms can aid in difficult calculations.
Burka [1]
First, it is to be understood that logarithms allow a person to subject a number as an exponent of a base. As an example of ways in which logarithm is used to aid us in difficult calculations is when we calculate for the pH of a substance which has a formula of,
                                       pH = -log[H+]
4 0
3 years ago
Read 2 more answers
3. Eric filled 3/4 buckets with sand. Then he filled
Sedbober [7]

Answer:

  472 3/4

Step-by-step explanation:

Consider the meaning of "one, and one more". That does not mean zero (1-1). Rather, it means two (1+1).

__

Then 3/4 and 472 more is ...

  \dfrac{3}{4}+472=472\frac{3}{4}

Eric has 472 3/4 buckets filled with sand.

_____

The problem statement here seems to be focused on the filled buckets, rather than the sand stockpile that Eric is working from. The amount in that stockpile is being reduced by the amount that is being used to fill buckets. In short, whether you add or subtract depends on what you're trying to figure.

5 0
3 years ago
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