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2 years ago

8

Solve tan(26°1') = h/205

1 answer:

Alecsey [184]2 years ago

8 0

Multiply tan(26°1') by 205 to find h; then, divide 205 from h to see if the answer is tan(26<span>°1). If it is, the answer is correct; if not, try again- - perhaps you typed in the numbers wrong.</span>

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What percent of 2000 is 204

Darina [25.2K]

204 is 10.2% of 2000

Working Out

204/2000 x 100 = 10.2%

3 0

3 years ago

A farmer borrowed $7200 for 3 months at 10% interest. How much interest will the farmer pay on the loan?

zhuklara [117]

He will pay the 10% of $7200, and that is calculated like so:
(10%)(7200)
= (10/100)(7200)
= (1/10)(7200)
= 720
therefore he will pay $720

8 0

3 years ago

Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was

nasty-shy [4]

Answer: Mr. Ratchett died approximately at 2AM.

Step-by-step explanation: <u>Newton's</u> <u>Law</u> <u>of</u> <u>Cooling</u> shows the cooling rate between a body and the environment, by stating that the rate is proportional to the difference in temperatures between them.

Mathematically, it is represented as:

$\frac{dQ}{dt}=\alpha.A.(T_{s}-T)$

This differential equation solved, gives the solution:

$T(t)=T_{s}+(T_{0}-T_{s})e^{-kt}$

where

$T_{s}$ is temperature of the environment

$T_{0}$ is the initial temperature of the body

k is a parameter dependent of heat transfer coefficient, heat capacity and area of the body

t is time required to change the temperature

For the murder on the Orient Express, first determine parameter k.

In 1 hour, Mr. Ratchett's body decrease 1°:

$27=22+(28-22)e^{-1k}$

$5=6e^{-k}$

$e^{-k}=\frac{5}{6}$

$ln(e^{-k})=ln(0.834)$

k = 0.1823

Using the parameter, find estimate time:

$28=22+(37-22)e^{-0.1823t}$

$6=15e^{-0.1823t}$

$ln(e^{-0.1823t})=ln(0.4)$

0.1823t = 0.9163

$t=\frac{0.9163}{0.1823}$

t ≈ 5 hours

The body was found at 7AM. So, it took approximately 5 hours to cool down to 28° at that time. Therefore, Mr. Ratchett died at 2AM.

5 0

3 years ago

2/1 = 8x - 2/ 9 ! help

bearhunter [10]

Answer: 5/2

Step-by-step explanation:

Cross multiply

18 = 8x - 2

20 = 8x

20/8 reduces to 5/2

7 0

3 years ago

Read 2 more answers

Finding Side Lengths in a Right Triangle

Kamila [148]

Answer:

$s=17$

Step-by-step explanation:

Pythagorean Theorem: $a^{2} +b^{2} =c^{2}$

$8^2+15^2=c^2$

$64+225=c^2$

$c^2=289$

$c=17$

3 0

3 years ago