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marin [14]
3 years ago
13

Britney traveled from the school to the mall and then from the mall to the library. Alice traveled directly from the school to t

he library. How many more miles did Britney travel than Alice?

Mathematics
1 answer:
givi [52]3 years ago
5 0
Britney:
School to Mall is 10 units
Mall to Library is 24 units
In total, 10 + 24 = 34, Britney traveled 34 units.

Alice:
School to Library is ___ units.
Using the Pythagorean Theorem, you can find the distance
a^2 + b^2 = c^2 this is the formula
10^2 + 24^2 = c^2 square the 10 and 24
100 + 576 = c^2 add the two values
676 = c^2 square root both sides
26 = c
School to Library is 26 units.

34 - 26 = 8 units
Britney traveled 8 units more than Alice.
Just multiply the 8 units by how many miles there are in 1 unit and you will find your answer.


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Answer:

Part 1) c=12.14\ units

Part 2) m\angle A=41.78^o

Part 3) m\angle B=74.22^o

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

c^2=a^2+b^2-2(a)(b)cos(C)

we have

a=9\ units\\b=13\ units\\C=64^o

substitute

c^2=9^2+13^2-2(9)(13)cos(64^o)

c^2=81+169-234cos(64^o)

c^2=250-234cos(64^o)

c^2=147.4212

c=12.14\ units

step 2

Find the measure of angle A

Applying the law of sines

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{9}{sin(A)}=\frac{12.14}{sin(64^o)}

solve for sin(A)

sin(A)=\frac{sin(64^o)}{12.14}(9)

sin(A)=0.6663

m\angle A=sin^{-1}(0.6663)=41.78^o

step 3

Find the measure of angle B

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle A+m\angle B+m\angle C=180^o

substitute the given values

41.78^o+m\angle B+64^o=180^o

m\angle B+105.78^o=180^o

m\angle B=180^o-105.78^o

m\angle B=74.22^o    

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3 years ago
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sertanlavr [38]

5.19cm

Step-by-step explanation:

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The circumference of a circular painting is 59.66 feet. What is the radius of the painting? Use 3.14 for π and do not round your
Studentka2010 [4]

Answer:

9.5 feet

Step-by-step explanation:

So let's review the equations we need to know.

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Since we are solving for r, let's stick with the 2nd one.

Next, plug in the values.

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simplify.

59.66=6.28r

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done!

the radius is 9.5 feet!

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3 years ago
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