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Dmitry_Shevchenko [17]
3 years ago
12

Jeffery walked 1/3 mile on Monday and jogged 4/5 mile on Tuesday. How far did he wal and jog on Monday and Tuesday combined

Mathematics
1 answer:
beks73 [17]3 years ago
6 0

Answer:

17/15

Step-by-step explanation:

Find the GCF of the denominators

15

Convert the fractions

1/3 --->   5/15

4/5 --->  12/15

Add.

12/15 + 5/15 = 17/15

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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
HELP RIGHT NOW PLEASE!!!!!!!!!!!! What is the value of x?
barxatty [35]

Answer:

x = 34

Step-by-step explanation:

Add together all three angles because together they equal 180 degrees

x + 12 + x + 100 = 180         Combine like terms

2x + 112 = 180

     - 112   - 112                   Subtract 112 from both sides

2x = 68                              Divide both sides by 2

x = 34

6 0
3 years ago
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Complete the proof that ∆RSU~∆RTS.
Alisiya [41]

Answer:

SAS Similarity

Step-by-step explanation:

given by lines 1, 2, & 3

6 0
3 years ago
For which of the following are x=4 and x=-4 solutions?
ELEN [110]

Answer:

2x2 - 5x - 12 = 0.

(2x + 3)(x - 4) = 0.

2x + 3 = 0 or x - 4 = 0.

x = -3/2, or x = 4. I hope this helps

Step-by-step explanation:

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3 years ago
Which of the following statements is false about most checking accounts?
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There is no picture for me to check
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