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NARA [144]
3 years ago
11

How many sixteenth notes would be needed to have the same duration as 3 quarter notes? Represent this as a fraction

Mathematics
1 answer:
Serjik [45]3 years ago
3 0
1 quarter note=2 eighth notes
1 eight note=2 sixteenth notes
so

1 quarter note=4 sixteenth note
so
times 3 both sides
3 quarter notes=12 sixteenth notes
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Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c= 81,000 km. Assume the cen
elena-14-01-66 [18.8K]

Answer:

\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1

Step-by-step explanation:

the transverse axis is horizontal.

so its a horizontal hyperbola

Center is the origin so center is (0,0)

Equation of horizontal hyperbola is

\frac{x^2}{a^2} - \frac{y^2}{b^2} =1

Given a= 55000 and c= 81000

c^2 = a^2 + b^2

81000^2 = 55000^2 + b^2

subtract 55000^2 on both sides

b  = sqrt(81000^2 - 55000^2)= 59464.27

now plug in the values

\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1

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2 years ago
Find the surface area of the pyramid.<br> 64in^2 <br> 56in^2 <br> 88in^2<br> 118in^2
ziro4ka [17]

Answer:

To find the surface area of this pyramid, we must find the <u>area</u> of one <u>triangle</u> flap which we then <u>multiply by 4</u> because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the <u>base(square)'s area</u>. Next, we add all those areas together to get the result of the surface area.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.

Plug in what you know, given that the base of one triangle is 4, and the height is 6.

A = 4(6) x 1/2

A = 24 x 1/2

A = 24/2

A = 12, the area of <em>one triangle is 12 inches</em>.

Now, we find the area of all the triangles by multiplying the area of one triangle by 4.

12 = Area of triangle

4 triangles in total, so:

12(4)

= <u>48 inches</u> is the <u>area</u> of <u>all the triangles</u>.

Now we find the area of the base(square) using the formula;

(vol of square formula)
A = s^{2}

Where 's' represents one side of the square which is being squared.

or

A = l · w

Where 'l' represents the length and 'w' represents the width.

Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).

(I'll be using the formula s^{2})

A = s^{2}

A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)

A = 16, the <u>area</u> of the <u>base(square)</u> is <u>16 inches</u>.

Now we add both areas together:-

48 + 16

= <u>64 inches^2</u> is the surface area, your answer is A.

5 0
2 years ago
one sixth of the students in a school marching band are in the percussion section, the percussion section has 6 students, how ma
Igoryamba

Answer:

36 students

Step-by-step explanation:

because if 1/6 is 6 students then you have to multiply the 6 by 6

4 0
3 years ago
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3/4 divided by 1/5 PLEASE ANSWER
sergejj [24]

Answer:

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Step-by-step explanation:

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

To make the answer to 3/4 divided by 1/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

15/4 = 3.75

The answer is rounded to the nearest four decimal points if necessary.

15/4 is an improper fraction and should be written as 3 3/4.

 

 

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2 years ago
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Mike is making a scale model of his favorite car. The actual car is 8 feet long and 4 feet wide. Mike wants his model to be 12 i
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8/4=12/x
Would be the ratio.

Solve it:

8/4 =12/x

2=12/x

2x=12

X=6
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3 years ago
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