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kondor19780726 [428]
3 years ago
12

Need help for this problem plz thxs

Mathematics
2 answers:
Volgvan3 years ago
8 0
30/35 = 6/7

8/40 = 1/5

15/20 = 3/4

This would help :))
Viefleur [7K]3 years ago
8 0
If you multiply/divide the numerator and denominator of a fraction by the same number, you will get an equivalent fraction.

For the first one, 6 is in the new numerator. Let's divide this by the original numerator to see what they did.

30/6 = 5

So they divided the numerator by 5. To get an equivalent fraction, we must do the same to the denominator.

35/5 = 7

So our new equivalent fraction is 6/7.

For the second one, the new denominator is 5. Let's see what they did to get this.

40/5 = 8

So they divided the denominator by 8 to get 5, let's do the same to the numerator:

8/8=1

So we have 1/5.

For the last one, they have 4 in the new denominator. Let's see what they did to get this denominator:

20/4 = 5

So they divided the denominator by 5, let's do the same thing to the numerator:

15/5 = 3

So we have 3/4.
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Find the expansions of sin⁡5θ and cos⁡5θ in terms of sin⁡θ and cos⁡θ.
qwelly [4]
\bf \textit{quad-angle identities}\\\\\\

cos(4\theta)=8cos^4(\theta)-8cos^2(\theta)+1
\\\\\\
sin(4\theta)=
\begin{cases}
8sin(\theta)cos^3(\theta)-4sin(\theta)cos(\theta)\\\\
4sin(\theta)cos(\theta)-8sin^3(\theta)cos(\theta)
\end{cases}\\\\
-----------------------------\\\\


\bf sin(5\theta)\iff sin(4\theta + \theta)
\\\\\\
sin(4\theta)cos(\theta)+cos(4\theta)sin(\theta)
\\\\\\\
[4sin(\theta)cos(\theta)-8sin^3(\theta)cos(\theta)]cos(\theta)\\\\ + [8cos^4(\theta)-8cos^2(\theta)+1]sin(\theta)

\bf -----------------------------\\\\
cos(5\theta)\iff cos(4\theta + \theta)
\\\\\\
cos(4\theta)cos(\theta)-sin(4\theta)sin(\theta)\\\\\\\
[8cos^4(\theta)-8cos^2(\theta)+1]cos(\theta)\\\\
-
[4sin(\theta)cos(\theta)-8sin^3(\theta)cos(\theta)]sin(\theta)

distribute... and simplify :)

4 0
3 years ago
9(2x + 10) = 2(9x+ 45)
Delicious77 [7]

Answer:

infinitely many solutions

Step-by-step explanation:

1) distribute 9 to each term inside parenthesis on left side of equation

18x+90=2(9x+45)

2)now distribute 2

18x+90=18x+90

these equations are exactly the same! this means that this equation has infinitely many solutions

Hope this helps!

4 0
4 years ago
Read 2 more answers
What is the probability of picking a 7 from a standard deck of 52 cards?
BARSIC [14]

Answer:

(c)- 4/13

Step-by-step explanation:

There are 4 types of cards in a ordinary deck clovers, diamands, hearts, and spades

each set has 1 seven each, so 4 sevens total.

Also, each type of card has 13 different cards in it

so, your answer is 4/13

8 0
3 years ago
WHAT NUMBER MUST BE ADDED TO BOTH THE NUMERATOR AND DENOMENATOR OF 3/7 TO OBTAIN A FRACTION EQUAL TO 7/9?
yan [13]

Answer:

Add 22/63

Step-by-step explanation:

3/7 + n = 7/9

<u>Step 1:  Subtract 3/7 from both sides</u>

3/7 + n - 3/7 = 7/9 - 3/7

n = 49/63 - 27/63

n = 22/63

Answer:  Add 22/63

5 0
3 years ago
Jack the kangaroo hopped 50 yards in the same time that a young kangaroo hopped 10 feet. How many more feet did Jack hop? ft
nasty-shy [4]
Ack hopped a total of 150 feet, that is 140 over what the young kangaroo hopped
4 0
3 years ago
Read 2 more answers
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