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zaharov [31]
3 years ago
9

In a recent year one United States dollars was equal to about 82 Japanese yen

Mathematics
1 answer:
suter [353]3 years ago
5 0
$8,200
$82,000
$820,000
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I need help for these 2 problems the reason it’s already written is because I got them wrong (20 pts)
lawyer [7]

Answer:

I'm so so sorry but I cant really see what those say... Again, I'm very sorry about this...

Step-by-step explanation:

8 0
2 years ago
Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C o
Brrunno [24]

Answer:

AB = \sqrt{a^2 + b^2-2abCos\ C}

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

Sin\ C = \frac{h}{a}

Make h the subject:

h = aSin\ C

Also, in BOC (Using Pythagoras)

a^2 = h^2 + x^2

Make x^2 the subject

x^2 = a^2 - h^2

Substitute aSin\ C for h

x^2 = a^2 - h^2 becomes

x^2 = a^2 - (aSin\ C)^2

x^2 = a^2 - a^2Sin^2\ C

Factorize

x^2 = a^2 (1 - Sin^2\ C)

In trigonometry:

Cos^2C = 1-Sin^2C

So, we have that:

x^2 = a^2 Cos^2\ C

Take square roots of both sides

x= aCos\ C

In triangle BOA, applying Pythagoras theorem, we have that:

AB^2 = h^2 + (b-x)^2

Open bracket

AB^2 = h^2 + b^2-2bx+x^2

Substitute x= aCos\ C and h = aSin\ C in AB^2 = h^2 + b^2-2bx+x^2

AB^2 = h^2 + b^2-2bx+x^2

AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2

Open Bracket

AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C

Reorder

AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C

Factorize:

AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C

In trigonometry:

Sin^2C + Cos^2 = 1

So, we have that:

AB^2 = a^2 * 1 + b^2-2abCos\ C

AB^2 = a^2 + b^2-2abCos\ C

Take square roots of both sides

AB = \sqrt{a^2 + b^2-2abCos\ C}

6 0
3 years ago
Greg runs 3 miles in 28 minutes. At the same rate, how many miles would he run in 42 minutes?
Paladinen [302]

Answer:

4.5

 miles

Step-by-step explanation:

Well, he runs

3

miles in

28

minutes. Also, see that

42

=

28

⋅

1.5

.

So, his journey would just be running

1.5

times, with each time running

28

minutes.

So, he runs a total of

1.5

⋅

3

=

4.5

miles

7 0
3 years ago
Read 2 more answers
Is 16.263548952347... a rational<br> number and why?
anzhelika [568]

Answer: no it is not

Step-by-step explanation: any number that repeats forever cannot be written as a rational way or a fraction. So it is not rational.

8 0
3 years ago
Which shows the expressions in the order they would appear on a number line from least to greatest?
love history [14]
\frac{17}{9} =1.888888889&#10;
\sqrt{6} =2.449489743
\sqrt{30}=5.477225575
3^{3}=27
6 0
3 years ago
Read 2 more answers
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