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2 years ago

if you practice a musical instrument each day for 2/3 of an hour how many hours of practice would you get in each week?

1 answer:

3 0

In order to find the answer of the given problem above, we need to make the solution below:
Given: 2/3 of an hour = practice each day
2/3 of an hour is equivalent to 40 minutes
And per week, there are 7 days. So we will multiply 40 minutes by 7, and the result is 280 minutes. Since there are 60 minutes in an hour, we divide 280 by 60 and we get 4.67 hours. Therefore, each week, you would get 4.67 hours of practice on playing a musical instrument.

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Use the function below to find f(4). F(x) = 3x

Sonja [21]

Since F(X) = 3^X,

F(4) = 3^4 = 81

5 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!! WILL GIVE BRAINIEST + 30 POINTS!!

Goryan [66]

Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

Given
Definition of rectangle.
Definition of rectangle.
By SAS Congruence Theorem.
By CPCTC.

<h3>What is a Rectangle?</h3>

A rectangle is a quadrilateral.
All four angles in a rectangle are right angles.
The opposite sides of a rectangle are parallel and congruent to each other.

Therefore, based on what we are given and the definition of a rectangle, we can establish that △URS ≅ △STU by SAS.

Since △URS ≅ △STU, therefore ∠USR = ∠SUT by CPCTC.

In conclusion, given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

Given
Definition of rectangle.
Definition of rectangle.
By SAS Congruence Theorem.
By CPCTC.

Learn more about properties of rectangle on:

brainly.com/question/2835318

6 0

1 year ago

Terry wants to tip 15% to the waiter at a restaurant this means he will multiply the cost by 0.15 if this meal costs 18.10 how m

Katen [24]

just as the problem states, multiply the cost (18.10) by 0.15

18.10 * 0.15 = 2.72

the tip was $2.72

7 0

2 years ago

Solve the equation : <img src="https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20-%20%20%5Csin%28x%29%20%20%3D%20%20%5Csqrt%7B2%20%

Debora [2.8K]

Answer:

General solution is

$x = n \pi + \frac{\pi }{8}$

Step-by-step explanation:

Step(i):-

Given cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

$\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }$

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b) $cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }$

Step(ii):-

$\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }$

$cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x$

$cos (\frac{\pi }{4}+x ) = cos 3 x$

Step(iii):-

General solution of cos x = cos ∝ is x = 2 nπ+∝

we have $cos (\frac{\pi }{4}+x ) = cos 3 x$

The general solution of $cos (\frac{\pi }{4}+x ) = cos 3 x$ is

⇒ $3 x = 2 n \pi + (\frac{\pi }{4}+x )$

⇒ $3 x- x = 2 n \pi + \frac{\pi }{4}$

$2x = 2 n \pi + \frac{\pi }{4}$

final answer:-

General solution is

$x = n \pi + \frac{\pi }{8}$

8 0

2 years ago

Determine which system below will produce infinitely many solutions. -4x + 6y = 20 4x - 3y = -2 -2x + 4y = 18 4x - 8y = -36 3x -

Vanyuwa [196]

The second:
$\left \{ {{-2x+4y=18} \atop {4x-8y=-36}} \right.$
The second equation is equal to the first multiplied by -2, giving two coincident straight lines with infinite points in common (solutions)

3 0

2 years ago