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Zarrin [17]
1 year ago
14

during one semester, the time elaine spent doing homework or participating in extracurricular activities was 20 percent less tha

n the time she spent attending class. if she spend a total of 981 hours attending class, doing homework, or participating in extracurricular activities, how many hours did she spend attending class?
Mathematics
1 answer:
polet [3.4K]1 year ago
7 0

Answer:

963 hours

Step-by-step explanation:

I subtracted 20 from the 981

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Whats the least common denominator of the expression g to the second power over 9 minus g to the second power plus 14 plus g ove
creativ13 [48]

Answer:

The least common denominator of the expression is 72g.

Step-by-step explanation:

First, let us write the expression out mathematically

\frac{g^{2} }{9} - g^{2} + 14 + \frac{g}{24g} + 8g^{2}

The denominators in the expression are 9 and 24g. To find the least common denominator, we will determine the least common multiple of the numbers (9 and 24) first, and then find the least common multiple of the result and g (since it is the only letter).

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

Multiples of 24 = 24, 48, 72, 96, ...

The least common multiple of 9 and 24 is 72.

Then, the least common multiple of 72 and g is 72g

Hence, the least common denominator of the expression is 72g.

7 0
3 years ago
A particle moves along a straight line. The distance of the particle from the origin at time t is modeled by the equation below.
laiz [17]

Answer:

The value of t that will satisfy the equation is π/6 (which is 30 degrees)

Step-by-step explanation:

The function that models the movement of the particle is given as;

S(t) = 2 sin(t) + 3 cos (t)

Now we want to the value of t between 0 and pi/2 that satisfies the equation;

s(t) = (2+ 3√3)/2 = 1 + 3√3/2

What we do here is simply find that value of t that would ensure that;

2sin(t) + 3cos(t) = 1 + 3√3/2

Without any need for rigorous calculations, this value of t can be gotten by inspection.

From our regular trigonometry, we know that the sin of angle 30 is 1/2 and its cos value is √3/2

We can make a substitution for it in this equation.

We obtain the following;

2 sin(30) + 3cos (30) and that is exactly equal to 1 + 3√3/2

Do not forget however that we have a range. And the range in question is between 0 and π/2

Kindly that π/2 in degrees is 90 degrees

So our range of values here is between 0 and 90 degrees.

So to follow the notation in the question, the value within the range that will satisfy the equation is π/6

4 0
3 years ago
The surface area of a cube is represented by the expression below, where s is the side length of the cube. Find the surface area
Dmitry [639]

Answer:

486 centimeters³

Step-by-step explanation:

Surface area of a cube = 6s²

Where,

s = side length

Find the surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters.

s = 9 centimeters

Surface area of a cube = 6s²

= 6 × 9²

= 6 × 81

= 486 centimeters³

Surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters 486 centimeters³

8 0
2 years ago
A child is flying a kite 145ft above the ground. The string makes an angle of 57 degrees from the child's hands. How much has be
Arturiano [62]

Answer: the length of string that been let out to fly the kite this high is 172.89 ft

Step-by-step explanation:

The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.

With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.

The height of the kite above the ground represents the opposite side of the triangle

To determine h, the length of the string that has been let out to fly the kite this high, we would apply the

Sine trigonometric ratio which is expressed as

Sine θ = opposite side/hypotenuse

Sin 57 = 145/h

h = 145/Sin57 = 145/0.8387

h = 172.89

7 0
3 years ago
If 1=2 what conclusions can u draw about m 3 and m 4
BlackZzzverrR [31]

Answer: second one

Step-by-step explanation:

5 0
3 years ago
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