A = 1/2(a + b)h for h

A triangle has sides with lengths of 3 millimeters, 4 millimeters, and 5 millimeters. Is it a right triangle?

Ivan

Answer:

yes

Step-by-step explanation:

it's a rule that 3,4,5 is a right triangle but use pathagorean to prove

3x3 + 4x4 = 5x5

9+16 = 25

4 0

3 years ago

On January 1, Year 1, Scott Company purchased a new machine for $220,000. The machine is expected to have an eight-year life and

dlinn [17]

Answer:

1. Annual straight-line depreciation = 25000

2. Machine's book value at the end of Year 2 = 170000

3. Gain on the sale of the machine = 10000

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

Price of the new machine purchased by Scott Company = 220,000

Expected life of the machine = 8 years

Salvage value = 20,000

Price of sale of the machine after 2 years of usage = 180,000

2. Calculate the annual straight-line depreciation on the machine.

Annual depreciation = (Price of purchase of the new machine - Salvage value)/Expected life of the machine

Replacing with the real values, we have:

Annual depreciation = (220,000 - 20,000)/8

Annual depreciation = 200,000/8

Annual straight-line depreciation = 25000

3. What is the machine's book value at the end of Year 2 after the annual depreciation has been recorded?

Machine's book value at the end of Year 2 = Price of the new machine purchased by Scott Company - 2 * Annual straight-line depreciation

Replacing with the real values, we have:

Machine's book value at the end of Year 2 = 220,000 - 2 * 25,000

Machine's book value at the end of Year 2 = 220,000 - 50,000

Machine's book value at the end of Year 2 = 170000

4. Calculate the gain or loss on the sale of the machine.

Gain or loss on the sale of the machine = Price of sale of the machine after 2 years of usage - Machine's book value at the end of Year 2

Replacing with the real values, we have:

Gain or loss on the sale of the machine = 180,000 - 170,000

Gain on the sale of the machine = 10000

8 0

3 years ago

A manufacturing process produces integrated circuit chips. Over the long run the fraction of bad chips produced by the process i

Vitek1552 [10]

Answer:

0.0244 (2.44%)

Step-by-step explanation:

defining the event T= the chips passes the tests , then

P(T)= probability that the chip is not defective * probability that it passes the test given that is not defective + probability that the chip is defective * probability that it passes the test given that is defective = 0.80 * 1 + 0.20 * 0.10 = 0.82

for conditional probability we can use the theorem of Bayes. If we define the event D=the chip was defective , then

P(D/T)=P(D∩T)/P(T) = 0.20 * 0.10/0.82= 0.0244 (2.44%)

where

P(D∩T)=probability that the chip is defective and passes the test

P(D/T)=probability that the chip is defective given that it passes the test

5 0

3 years ago

Which system of equations has no solutions?

IceJOKER [234]

what are the options? your question seems incomplete

7 0

3 years ago

Mrs. Adams deposited $12,000 into an account that earns an annual simple interest rate of 3.25%. She makes no other deposits or

lisabon 2012 [21]

Answer:

Mrs. Adams will earn $3,120 of interest at the end of year 8.

Step-by-step explanation:

Simple Interest

In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.

We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

$I=A.r.t$

Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:

$r=3.25/100=0.0325$

The interest is then calculated:

$I=12,000\cdot 0.0325\cdot 8=3,120$

Mrs. Adams will earn $3,120 of interest at the end of year 8.

7 0

3 years ago