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Aleonysh [2.5K]
2 years ago
10

Rolf spent 15 hours last week practicing his saxophone. If 3/10 of the time was spent practicing warm-up routines, how much time

did he spend practicing warm-up routines?
Mathematics
1 answer:
rusak2 [61]2 years ago
5 0

Answer:

(3/10)*15= 9/2= 4.5 hours practicing warm up routines

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Find the general solution of <img src="https://tex.z-dn.net/?f=2cos%282x%20%2B%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%29%20%3D%20%5Cs
Aleks04 [339]

Answer:

\large\boxed{x=-\dfrac{\pi}{4}+k\pi\ \text{or}\ x=k\pi\ \text{for}\ k\in\mathbb{Z}}

Step-by-step explanation:

2\cos\left(2x+\dfrac{\pi}{4}\right)=\sqrt2\qquad\text{divide both sides by 2}\\\\\cos\left(2x+\dfrac{\pi}{4}\right)=\dfrac{\sqrt2}{2}\to2x+\dfrac{\pi}{4}=\pm\dfrac{\pi}{4}+2k\pi\\\\2x+\dfrac{\pi}{4}=-\dfrac{\pi}{4}+2k\pi\ \vee\ 2x+\dfrac{\pi}{4}=\dfrac{\pi}{4}+2k\pi\qquad\text{subtract}\ \dfrac{\pi}{4}\ \text{from all sides}\\\\2x=-\dfrac{2\pi}{4}+2k\pi\ \vee\ 2x=2k\pi\qquad\text{divide all sides by 2}\\\\x=-\dfrac{\pi}{4}+k\pi\ \vee\ x=k\pi\ \text{for}\ k\in\mathbb{Z}

5 0
3 years ago
Solve for x.
Scorpion4ik [409]

Answer:

x = 4.3588989435406

I hope it's helps you

8 0
2 years ago
Hi guys can u also help me with this, i don’t understand a single thing of it
Bess [88]
HCF=Highest Common Factor-HCF of two or more numbers is the greatest factor that divides the numbers. For example, 2 is the HCF of 4 and 6.
LCM=Least Common Multiple-LCM is the smallest positive number that is a multiple of two or more numbers.

Answers:
1) 6
2) 12
3) 5
4) 3
5) 26
6) 15
7) 88
6 0
1 year ago
Here is a system of equations.
goblinko [34]

Answer:

It should be "one solution"

Step-by-step explanation:

After graphing the equations, the two lines only intersect at one point which makes it "one solution." Hope this helps.

8 0
2 years ago
Read 2 more answers
One store has carrots on sale for $1.1 for 3 pounds, while another store has carrots on sale for $0.78 for two pounds. Which sto
irina1246 [14]

Answer:

1) The store selling for 1.1 per 3 lbs

2) $6.24

Step-by-step explanation:

1)

1.1/3 = 0.37

0.78/2 = 0.39

0.37 is cheaper so it's a better deal

2)

\frac{0.78}{3} =\frac{x}{24} \\\\3x=18.72\\x=6.24

4 0
3 years ago
Read 2 more answers
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