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algol [13]
2 years ago
15

What is the measurement of QP? Please show all the work on how you got your answer

Mathematics
1 answer:
Brums [2.3K]2 years ago
5 0

Answer:

QP = 5

Step-by-step explanation:

QP is half of QS, and if QS = 10, then QP = 5

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Julian walked 6/10 of a mile to his friends house and another 35/100 mile to the store. He walked 1/4 of a mile back home. Julia
AveGali [126]

The statement, "Julian's sister said he walked 1/5 mile" cannot be agreed because Julian totally walked 1\frac{1}{5} \text{ or } \frac{6}{5} miles.

<u>Solution:</u>  

Given that,

  • Julian walked 6/10 of a mile to his friends house
  • Another 35/100 mile to the store
  • He walked 1/4 of a mile back home

To find total distance walked by Julian we have to add the above stated values. That is, \frac{6}{10} +\frac{35}{100} +\frac{1}{4}

Factors of 10 = 5\times2

Factors of 100 = 5\times2\times5\times2

Factors of 4 = 2\times2

Therefore, the least common factor of 10, 100 and 4 is 100. With like denominators we can operate on just the numerators,

\frac{6\times10}{10\times10} +\frac{35\times1}{100\times1} +\frac{1\times25}{4\times1}\rightarrow\frac{60+35+25}{100}\rightarrow\frac{120}{100}

\Rightarrow\frac{120}{100}\rightarrow\frac{6}{5}

Which can also be written as 1\frac{1}{5}.

So, from the above calculation it can be said that Julian walked 1\frac{1}{5} \text{ miles }.

3 0
3 years ago
Which expression gives the magnitude of the magnetic field in the region c &lt; r2 &lt; b (at e?
BaLLatris [955]

The electric currents and magnetic materials have an effect called magnetic field. This magnetic field is specified with its direction and magnitude. The magnitude is the strength of the field.

the magnetic field at a distance r from a long straight wire carrying current I can be calculated with the equation:

B = μ​​ ​I / 2 pi R​​

where <span>μ​​ is a constant, I is the current and R is the radius. </span>

5 0
3 years ago
3x+5y=-3 x-5y=-5 show your work
frez [133]
We are given the equations 3x+5y=-3 and x-5y=-5.

Both equations have a 5y  term which allows us to easily solve the system by elimination. To do so we will add the equations together like a simple addition problem by adding the x terms together, the y terms together, and the integer answers together.

3x + 5y = -3
+x - 5y = -5
---------------
4x + 0y = -8

The y terms cancel out since one is positive and one is negative. Now we can solve for x.

4x = -8

\frac{4x}{(4)} = \frac{-8}{(4)}

x = -2

Now plug -2 in for x in one of the original equations to find y.

(-2) - 5y = -5

-5y = -3

y = 3/5

Our answer as an ordered pair is (2, 3/5)
6 0
3 years ago
What is exact value of cos7pi/6
victus00 [196]
0.523598775598299 lol I believe
7 0
3 years ago
Two sides of a triangle are given as 28 inches and 42 inches. find all possible lengths for the third side of the triangle
timofeeve [1]
The longest side of  a triangle must be less than the sum of the other 2 sides

2 senarios

the 3rd side is the longest
the 3rd side is not the longest



for the 3rd side is the longest

3rdside<28+42
3rdside<70


for 3rd side isn't the longest
42 is longest
42<28+3rdside
14<3rdside

so we've got
3rdside<70 and 14<3rdside

so
14<3rdside<70

the 3rd side can be any number from 14in to 70in except 14in and 70in
6 0
3 years ago
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