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Sladkaya [172]
2 years ago
9

Can someone please answer for d and b

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
3 0

Answer:

d=2√2, b=\frac{3\sqrt{2}}{2}

Step-by-step explanation:

first triangle is a 30-60-90

so, sides x-x√2-2x

x=2

therefore d=2√2

second triangle is 45-45-60

sides, 1-1-√2

which means b√2=6

b=6/√2 ---> multiply by √2/√2 to get ride of the √2 denominator

b=6√2/4 , simplify

b=\frac{3\sqrt{2}}{2}

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Write the rate as a unit rate:<br> 400 miles in 8 hours
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Answer:

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Step-by-step explanation:

400/8 is 50.

4 0
3 years ago
At the beginning of an experiment, the number of bacteria in a colony was counted at time t=O. The number of bacteria in the col
yan [13]

Answer:

1092

Step-by-step explanation:

We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function B(t)=9(3)^t. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

Upon substituting our given values, we will get:

\text{Average rate of change}=\frac{b(6)-b(0)}{6-0}

\text{Average rate of change}=\frac{9(3)^6-9(3)^0}{6}

\text{Average rate of change}=\frac{9(729)-9(1)}{6}

\text{Average rate of change}=\frac{6561-9}{6}

\text{Average rate of change}=\frac{6552}{6}

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Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.

8 0
2 years ago
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lakkis [162]

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3 0
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