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2 years ago

9

(A) use the Pythagorean theorem to determine the light of the unknown side of the triangle, (B) determine the perimeter of the t

riangle, and ( C) determine the area of the triangle the figure is not draw to scale

1 answer:

Kruka [31]2 years ago

8 0

Unknown side is 4km, perimeter is 12m, and area is 3.5m^2

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Bill buys a new machine.

EastWind [94]

Answer:

For a, the machine depreciates 20% of its current value each year. So, It will lose 20% of its value in the first year. Then in the second year, it will lose 20% of THAT value (not of the original value) and so on.

b) Since the machine loses 20% of its value each year, it retains 80% of its value each

5 0

2 years ago

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

bija089 [108]

Answer: $\bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}$

b) 5314

c) ln 2.7

d) 4.6 hrs

<u>Step-by-step explanation:</u>

$P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}$

$10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}$

4 0

2 years ago

Olaf earned $416.03 commission on his sales of $9245.00. What was his rate of commission?

Crank

Answer:

$1 per $22.22 sold.

Step-by-step explanation:

To find this answer, I divided his sales by his amount earned.

9245.00/416.03=22.22

This shows the for every 22.22 dollars sold, he recieved one dollar in commission.

Hope this helped! Thanks for posting your question! If correct, please award brainliest!

8 0

2 years ago

The length of a table is 2 meters 50 centimeters. What is the length of the table in millimeters?

sweet [91]

Answer:

A

Step-by-step explanation:

2 meters=2000millimeters

50 centimeters=500 millimeters

8 0

2 years ago

Lisa [10]

Answer:

A. x + y > 30 8x + 10y ≥ 450

Step-by-step explanation:

x+y bunnies and puppies has to be greater than 30 (in amount)

the amount of money need to be greater than or equal to 450 for both x bunnies and y puppies.

5 0

2 years ago