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2 years ago

Which is shorter? 3/6 of a minute or 2/6 of an hour?

Mathematics

1 answer:

marysya [2.9K]2 years ago

6 0

Answer:

3/6 of a minute

Step-by-step explanation:

3/6 can also be simplified to 1/2. So, 1/2 of a minute is 30 seconds. 2/6 can be simplified to 1/3. So, 1/3 of an hour is 20 minutes. 30 seconds is very much shorter than 20 minutes. Thus, 3/6 of a minute is shorter than 2/6 fo an hour.

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Ernesto has $70 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will he have i

Paul [167]

Answer: $81.03

Step-by-step explanation:

The interest is compounded annually which means that the future value formula applies:

Future value = Amount * ( 1 + rate) ^ number of years

Amount = $70

Rate = 5%

Number of years = 3 years

In 3 years, Ernesto will have:

= 70 * ( 1 + 5%)³

= $81.03

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2 years ago

Trigonometric identities Simplify cos^2 theta -1/ 4 sin^2 theta

Veronika [31]

Answer:

Step-by-step explanation:

using the identity

sin²x + cos²x = 1 ( subtract 1 from both sides )

sin²x + cos²x - 1 = 0 ( subtract sin²x from both sides )

cos²x - 1 = - sin²x

then

$\frac{cos^20-1}{4sin^20}$

= $\frac{-sin^20}{4sin^20}$ ← cancel sin²Θ on numerator and denominator

= $\frac{-1}{4}$

= - $\frac{1}{4}$

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2 years ago

Solve for an angle in right triangles help

Slav-nsk [51]

Answer:

26.39

Step-by-step explanation:

$\sin(B) = \frac{AC}{AB} = \frac{4}{9}$

$B = {sin}^{ - 1} = \frac{4}{9}$

$= 26.387$

$= 26.39$

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2 years ago

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a playground area is going to be built in a zoo park. the shape of the playground is shown below. this are will be covered with

Triss [41]

3+3+12+32=50

50x52.59=2,629.5

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3 years ago

Joel made egg sandwiches and tuna sandwiches in the ratio 2:3. He then made 15 more tuna sandwiches and the ratio changed to 1:3

Aleksandr [31]

Answer:

40 sandwiches

Step-by-step explanation:

egg sandwiches : tuna sandwiches

2 : 3

Multiply by x because we do not know how many sandwiches, just the ratio

2x : 3x

Add 15 tuna sandwiches

2x : 3x+15

Now the ratio is 1:3

egg sandwiches : tuna sandwiches

1 : 3

Multiply by y because we do not know how many sandwiches, just the ratio

y : 3y

Set the number of egg sandwiches equal

2x =y

then set the number of tuna sandwiches equal

3x+15 = 3y

We know have a system of 2 equations and 2 unknowns

Substitute y =2x into the second equation

3x+15 = 3(2x)

Distribute

3x+15 = 6x

Subtract 3x from each side

3x-3x+15 = 6x-3x

15 =3x

Divide by 3

15/3 = 3x/3

5 =x

egg sandwiches : tuna sandwiches

2 : 3

Multiply by x because we do not know how many sandwiches, just the ratio

2x : 3x

2*5 3*5

10 15

He originally made 10 egg sandwiches and 15 tuna sandwiches

Then he made 15 more tuna sandwiches

The total number of sandwiches he made is

10+15+15 = 40 sandwiches

5 0

2 years ago