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Andrej [43]
3 years ago
8

Find the area of triangle ABC. The figure is not drawn to scale.

Mathematics
1 answer:
balu736 [363]3 years ago
6 0
Sin(63)=x/7
0.89100652418= x/7  > <span>0.89100652418 (7) = x/7(7)
</span><span>6.23704566932=x This is the height
</span>the area of a triangle is A=BH/2  or Base * Height /2
A= (<span>6.23704566932)(8)/2
</span>A=<span>24.9481826773 or 24.95 cm^2</span>


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At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

B = 72°

T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) =  128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) =  128°(0.989)^22.3 + 72 = 172°

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Answer:

I believe it is 2.1 if I am wrong, very sorry.

Step-by-step explanation:

So you divide 200 by 100 so 210/100, thats when you get 2.1. So to convert that from percent to decimal all you do is is just divide by 100 and remove the % sign! Just move the decimal point 2 places to the left. If the percent value is a integer, the '.' is at the right of the right most digit.

Hope this helped you out and hope you got your answer right! Enjoy the rest of your day. :)


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Answer:

product one; it has a higher success rate

Step-by-step explanation:

to find out which has a higher rate of success we can find out their percentage of success

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