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Alenkinab [10]
3 years ago
6

How long is BC? answer exactly, using radical if needed.​

Mathematics
2 answers:
Stolb23 [73]3 years ago
4 0

Answer:

2 units

Step-by-step explanation:

Sin(30) = BC/4

BC = 4×½ = 2

Paul [167]3 years ago
4 0

hello mate

This is neha to help you here

answer

since its a right traingle we can use trignometric ratos to solve this problem

<A= 30°

AB=4CM

AB IS THE HYPTONUESE OF THE TRAINGLE = 4CM

AND BC IS THE OPPOSITE SIDE OF ANGLE 30°

SO,

SIN30° =\frac{OPPOSITE SIDE}{HYPOTENUSE}

\frac{1}{2} = \frac{x}{4} \\\\CROSS MULTIPLYING\\\\2X= 4\\\\X= \frac{4}{2}\\ \\X= 2CM

SO BC IS 2 CM LONGER

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A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


5 0
3 years ago
Can someone answer this question please?
Keith_Richards [23]

Answer:b=2.5555555555...

Step-by-step explanation:9b= -23, 9b/9=b, -23/9=2.55555..., b=2.55555...

6 0
3 years ago
Mary rented a truck for one day. There was a base fee of $13.50, and there was an additional charge of 9 cents for each
marishachu [46]

Answer:

15.3 dollars

Step-by-step explanation:

13.50 + (.09 x 20 = 1.8)

13.50 + 1.8

5 0
2 years ago
Hat is the value of x in the equation 4 x plus 8 y equals 40, when y equals 0.8? 4.6 8.4 10 12
Elan Coil [88]

Step-by-step explanation:

4x + 8y = 40

4x + (8×0.8) = 40

4x + 6.4 = 40

4x = 33.6

4x÷4 = 33.6 ÷ 4

x = 8.4

6 0
3 years ago
Frank needs to fill juice cups for his little sister's birthday party. There are 35 juice cups and each juice cup holds 12 fluid
max2010maxim [7]

Frank will need 4 gallons of juice.

35*12=420 fluid ounces

420/32=13.125 quarts

13.125/4=3.28 gallons

He will have some juice cups left over.

5 0
3 years ago
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