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wolverine [178]
3 years ago
7

Need help solving this problem please ​

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0

Step-by-step explanation:

\cos(  \frac{ \alpha }{2}  )  =  \sqrt{ \frac{1 -  \cos( \alpha ) }{2} }  \\  =  \sqrt{ \frac{1 - ( -  \frac{15}{17}) }{2} }  \\  =  \sqrt{ \frac{32}{34} }

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How do I get 1/4 of $3.20
leva [86]
" of " means multiply

1/4 * 3.20/1...and just multiply....(1 * 3.20) / (4 * 1) = 3.20/4 = 0.8
or
1/4 = 0.25.....0.25(3.20) = 0.8
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4 years ago
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A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t
STatiana [176]

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

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3 years ago
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What numbers fall between 4.7 and 4.8 on a number line
SVEN [57.7K]

Answer:

4.71, 4.72, 4.73, 4.74, 4.75, 4.76,4.77, 4.78, and 4.79

Step-by-step explanation:

all you need to do is move into hundredths and you need to know that there are 10 hundredths between 2 tenths.

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The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented
IrinaVladis [17]

It is given to us that the velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table (which is not given to us). The acceleration due to gravity is the constant of variation. Now, we know, from basic physics that the value of the acceleration due to gravity in the SI unit is 9.8 m/s^2. Therefore, the second option is the correct option.

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Casey wants to buy a gym membership. Gym A has a $150 joining fee and costs $35 per month. Gym B has no joining fee and costs $6
MariettaO [177]

Answer:

Step-by-step explanation:

Gym A has a $150 joining fee and costs $35 per month.

Assuming that Casey wants to attend for x months, the cost of using gym A will be

150 + 35 times x months. It becomes

150 + 35x

Gym B has no joining fee and costs $60 per month.

Again, assuming that Casey wants to attend for x months, the cost of using gym B will be

60 × x months = 60x

A) To determine the number of months that it will both gym memberships to be the same, we will equate them.

150 + 35x = 60x

60x - 35x = 150

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x = 150/25 = 6

It will take 6 months for both gym memberships to be the same.

B) If Casey plans to only go to the gym for 5 months,

Plan A will cost 150 + 35×5 = $325

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Plan B will be cheaper

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