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Finger [1]
3 years ago
12

What is the answer to 3 1/2 - 2 1/8

Mathematics
2 answers:
PIT_PIT [208]3 years ago
6 0

Answer:

1\frac{3}{8}

Step-by-step explanation:

3\frac{1}{2} -2\frac{1}{8}

Subtract the whole numbers and the fractional parts of the mixed numbers separately.

(3-2)+( \frac{1}{2} - \frac{1}{8} )

Subtract the numbers

1 + ( \frac{1}{2} - \frac{1}{8} )

To add or subtract fractions you need the same denominator

Make the  \frac{1}{2}  into a  \frac{4}{8}  by multiplying the numerator and denominator by 4.

1 + ( \frac{4}{8} - \frac{1}{8} )

Subtract

Your answer should be:

1\frac{3}{8}

DerKrebs [107]3 years ago
4 0

Answer:

Exact form:\\\frac{11}{8} \\Decimal form:\\1.375\\Mixed number form:\\1\frac{3}{8}

Step-by-step explanation:

hope this helps

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the ratio of the areas of two rectangles is 4 to 5. if the area of the larger rectangle is 135 square feet, what is the area of
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Divide the number 135 and 5. It is going to be 27. Then you multiply 27 times 4. Then you get your answer which is 108.
Proportion set up....
small    4                    ?          small
           -----             --------
big         5                    135         big         
Cross multiply 4x135= 540
and then divide 540/5= 108
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2 years ago
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
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