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faltersainse [42]
3 years ago
15

A square has a side length of 3 inches. What is the length of the diagonal distance across the square ?

Mathematics
1 answer:
astraxan [27]3 years ago
7 0

Answer:

4.243

Step-by-step explanation:

To calculate the diagonal of a square, multiply the length of the side by the square root of 2:

d = a√2

d = 3√2=4.24264068

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Kraig deposited money into a money market account. It has an interest of 12% and is compounded annually. Kraig thought 3% would
Klio2033 [76]

Answer:

<u>If the amount is P, with the interest rate of 12%, the interest over the year is:</u>

  • P*(1.12) - P = 0.12P

<u>In this case the quarterly interest rate is:</u>

  • 0.12P/4 = 0.03P

<u>With the same amount and 3% quarterly rate, the yearly interest would be:</u>

  • P*(1.03)^4 - P = 0.1255P

<u>The quarterly interest rate in this case is:</u>

  • 0.1255P/4 = 0.031375P

If the quarterly interest rate is r, it should be little less than 3% to yield a 12% yearly rate.

So Kraig is wrong.

7 0
3 years ago
Ten slips of paper labeled from 1 to 5 are placed in a hat. The first slip of paper is not replaced before selecting the second
vagabundo [1.1K]

Answer:

1/10

Step-by-step explanation:

There are two numbers less than 3 (1 and 2), and one number greater than 4 (5).

When the first slip is drawn, there are five slips in the hat, so the probability of a number less than 3 is 2/5.

When the second slip is drawn, there are four slips in the hat, so the probability of a number greater than 4 is 1/4.

Therefore, the total probability is (2/5) (1/4) = 1/10

6 0
3 years ago
5 pounds=---------------------------- ounces
Darya [45]
5 pounds=80 oz
6 quarts =192 fluid oz
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8 0
3 years ago
A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how many ways can 6 balls be chosen if there should be 2 balls
Nostrana [21]

Answer:

12 balls

Step-by-step explanation:

take 3 red balls ,5 green balls and 4 yellow balls that 12 balls = 6 balls in bag

5 0
3 years ago
If the length of JK is 3x and the length of LM is 12x and the length of the entire line JM is 25x , find the length of KL.
Leona [35]

Answer:

10x.

Step-by-step explanation:

It is given that,

JK = 3x

LM = 12x

JM = 25x

Let as consider the line as shown in the below figure.

From the figure it is clear that,

JK+KL+LM=JM

3x+KL+12x=25x

KL+15x=25x

KL=25x-15x

KL=10x

Therefore, the length of KL is 10x.

6 0
3 years ago
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