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Oksanka [162]
2 years ago
14

PLEASE HELP ME I BEG YOU

Mathematics
2 answers:
sergiy2304 [10]2 years ago
7 0

Step-by-step explanation:

=(2/5) of 30

=(2/5)×30

=(2×30)/5

=60/5

=12

Rus_ich [418]2 years ago
5 0

You need to find "two-fifths of 30."  Of here means multiplication:

     \begin{aligned}\dfrac{2}{5}\cdot 30 &= \dfrac{2}{5}\cdot\dfrac{30}{1}\\[0.5em] &= \dfrac{60}{5}\\[0.5em] &= 12\end{aligned}

There are 12 athletes in the club.

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Help! How would I solve this trig identity?
NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}

Then the identity can be rewritten as:

sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\

Now we can multiply both sides by cos⁴(x) to get:

\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)

Now we can use the identity:

sin²(x) + cos²(x) = 1

1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

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7 0
1 year ago
Can 72/15 be simplified? Tell me what the number is in YOUR ANSWER. Please and thank you!
Snezhnost [94]

Answer:

4.8

Step-by-step explanation:

8 0
3 years ago
How many numbers greater than zero and less than 50 equal the product of two consecutive positive integers?
spin [16.1K]
Consecutive numbers would be like 2 and 3, or 7 and 8.

All we need to do is keep multiplying pairs of consecutive numbers until we get above 50.

1 × 2 = 2 (that's one.)
2 × 3 = 6 (two)
3 × 4 = 12 (three)
4 × 5 = 20 (four)
5 × 6 = 30 (five)
6 × 7 = 42 (six...)
<em>7 × 8 = 56 > 50</em>
We have a total of 6 numbers that equal the product of 2 consecutive intergers<em>

</em>
7 0
2 years ago
Maya needs $58 to go on a field trip. She has saved $18.50. She earns $6.50 per hour cleaning her neighbor's garden, and she ear
insens350 [35]

She has $18.50 so she needs $39.50.

6.50×3= 19.50

18.50+19.50= 38

5.25×4=21

38+21=59

Maya would have enough money to go on the trip.

6 0
3 years ago
Can someone help me with this? It’s unit rates with price. Question: 6 feet of ribbon for $19.20​
lbvjy [14]

Answer:

OOPEEEEEEEEEEEEEEEE

Step-by-step explanation:

The answer is,

4.53

8 0
3 years ago
Read 2 more answers
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