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3 years ago

2 2/3 plus 3.5 please help me

Mathematics

2 answers:

Blababa [14]3 years ago

6 0

The answer is 258 because you got to add

Juli2301 [7.4K]3 years ago

5 0

Does the answer have to be a fraction or a decimal?

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Y = 1/3

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3 years ago

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aivan3 [116]

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2 years ago

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3x = 6<br><br> Help me p l e a s e

GuDViN [60]

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3 years ago

find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

$|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3$

$|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5$

And finally we can calculate the angle between the vectors like this:

$cos \theta = \frac{ab}{|a| |b|}$

And the angle is given by:

$\theta = cos^{-1} (\frac{ab}{|a| |b|})$

If we replace we got:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

3 0

3 years ago

Person A can make a cupcake in 5 minutes, Person B can make a cupcake in 9 minutes. In total they made 168 cupcakes. How many cu

Stolb23 [73]

Answer:

Person A made 108 cupcakes and person B made 60 cupcakes.

Step-by-step explanation:

Person A makes 1 cupcake in 5 minutes.

Say in x minutes A makes : $\frac{x}{5}$ cupcakes

Person B makes 1 cupcake in 9 minutes.

Say in x minutes B makes : $\frac{x}{9}$ cupcakes

Total cupcakes prepared by A and B in x minutes = 168

$\frac{x}{5}+\frac{x}{9}=168$

$\frac{14x}{45}=168$

$x=\frac{168\times 45}{14}=540$

So, cupcakes made by A = $\frac{540}{5}=108$

Cupcakes made by B = $\frac{540}{9}=60$

Person A made 108 cupcakes and person B made 60 cupcakes.

5 0

3 years ago