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siniylev [52]
3 years ago
9

How can i find the angle between two vectors, given in the format '' i+j ''

Mathematics
1 answer:
vivado [14]3 years ago
5 0

You use the formula below...,

Angle theta = cos^-1 [scalar product of the two vectors ÷ multiplication of their moduli]

For example...the angle between

(2i + 3j) and (4i + 5j)

Angle theta = cos^-1 [( 2(4) + 3(5))÷((square root of (2^2 + 3^2))×(square root of (4^2 + 5^2))

Angle theta = cos^-1 [ 23 ÷ ((square root of(13)) × (square root of (41)]

Angle theta = 5°

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Estimate the unit rate to the nearest hundredth. $1.19=GRAPE JUICE 12 fl oz. The unit rate is about$_ per fluid ounce.
Ket [755]
To find the unit rate of a given amount, you have to divide the price by the fluid oz or amount. In this case it is 1.19 / 12. The quotient is 0.0991666667 or (rounded) $0.10.
3 0
3 years ago
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WILL GIVE BRAINLIEST ANSWER
Ad libitum [116K]
<span>2² + 4² ÷ 2<span>²

4 + 16 </span></span>÷ 4

4 + 4

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3 years ago
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​claim: the mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. for a random sample of 140 adult​ males,
zaharov [31]

Answer:

93.19%

Step-by-step explanation:

We have that the mean (m) is equal to 70.4, the standard deviation (sd) 11.1 and the sample size (n) = 140

They ask us for P (x =69)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (69 - 70.4) / (11.1 / (140 ^ (1/2)))

z = 1.49

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <1.49) = 0.9319

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8 0
3 years ago
The sum of the ages of Ahsan and his mother is 61 year old. The difference in their ages is 29.
Oksana_A [137]

Answer:

mom is 45

ahsan is 16

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a+m=61

m-a=29

m=a+29

substitute

2a+29=61

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3 0
3 years ago
Which shows the correct first step to solving the system of equations in the most efficient manner? 3 x 2 y = 17. X 4 y = 19. X
Shkiper50 [21]

The correct first step to solving the system of equations in the most efficient manner is x = -4y +19.

The given system of equations is;

\rm 3 x + 2 y = 17\\\\x + 4 y = 19

<h2>What is the first step to solving an equation?</h2>

The first step would be to rearrange the variables in the second equation so we have a defined expression for x.

We would want to do this so we could then plug in the defined expression for x into the other equation and solve for the other variable.

x + 4y = 19

Rearrange this by getting the 4y to the other side.

We can get 4y on the other side by subtracting 4y from both sides

x + 4y - 4y = 19 - 4y

x = -4y + 19

Hence, the correct first step to solving the system of equations in the most efficient manner is x = -4y +19.

To know more about the System of equations click the link given below.

brainly.com/question/15240525

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