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algol13
3 years ago
14

30 pointss!HELP! Two students get into an argument about the correct answer.

Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0

Both Rhianna and Christopher were correct as they took different reference angles.

Step-by-step explanation:

Step 1:

tan \theta = \frac{opposite side}{adjacentside} .

The value of the tan of a reference angle is calculated using the above formula.

The hypotenuse is the longest side of the triangle is always opposite the right angle of the triangle.

In this triangle, the hypotenuse is the side measuring 5 units.

Step 2:

When the reference angle is A, the opposite side measures 3 units and the adjacent side measures 4 units.

So tan A = \frac{3}{4} .

When the reference angle is C, the opposite side measures 4 units and the adjacent side measures 3 units.

So tan C = \frac{4}{3} .

So both Rhianna and Christopher were right as they took different reference angles i.e. A and C.

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Question in attachment​
denis-greek [22]

Answer:

(a) x + y = 63 OR 3x = 63

(b) 21

(c) 42

Step-by-step explanation:

Let Vijay's age be x and Ajay's be y.

Ajay is <u>twice</u> as old as Vijay

==> Ajay's age = 2 × Vijay's age

==> <u>y = 2x</u>

<h3>(a)</h3>

<u>Sum</u> of their ages = 63

==> x + y = 63

<em>Substituting</em><em> </em><em>2</em><em>x</em><em> </em><em>for</em><em> </em><em>y</em><em>:</em>

==> x + 2x = 63

==> 3x = 63

<h3>(b)</h3>

<em>Solving the above-obtained equation:</em>

<u>==> x = 21</u>

<h3>(c)</h3>

Ajay's age = 2 times that of Vijay

==> y = 2x

==> y = 2×21

<u>==> y = 42</u>

6 0
2 years ago
Write four hundredths as a decimal number.
Olin [163]
4 hundredths as a decimal number is 0.04
5 0
3 years ago
Base 72; percentage 12
iVinArrow [24]

Answer:

16.67

Step-by-step explanation:

12 is what percent of 72? = 16.67

4 0
2 years ago
Read 2 more answers
if u have a 2 digit reapeating decimal how do u convert it into a fraction ex.) 0.023 but 23 ia reapeting over and over how do u
Anna35 [415]

Almost 60 years after taking my last math class, I discovered
how to turn a repeating decimal into its equivalent fraction.

-- Take the set of digits that repeats, no matter how many digits there are.
Write them as the numerator of a fraction.

-- For the denominator, write the same number of '9's.

-- If it's possible and you feel like it, simplify (reduce) the fraction.


You have 0.023 with the 23 (two digits) repeating forever.

-- Write the 23 (two digits) as the numerator.

-- Write 99 (two digits) as the denominator.

Now you have the fraction  23 / 99 .  It can't be reduced.

You actually had 0.0... before the repeating part. That just
means that the fraction has been divided by 10.  The real
equivalent fraction is  23 / 990 .  (Which also can't be reduced.)

After so many years not knowing how to do it, this still blows my mind. 
Just now, I punched " 23/990 "into my calculator, and stared in wonder
and amazement when " 0.023232323 " came up.


7 0
3 years ago
The equation x + 2y = 16 is in standard form.
zheka24 [161]
X+2y=16
Subtract x from both sides
2y= -x+16
Divide both sides by 2
Y=-1/2x+8
Slope is -1/2 or - .5
5 0
3 years ago
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