What is the value of x?

Mathematics

1 answer:

Over [174]3 years ago

4 0

Answer:

c-12

Step-by-step explanation:

Pythagoras theorem states that a²+b²=c²

144+b²=c²

b²=c²-144

b=c-12

b=x

x=c-12

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In science class, Logan estimates the volume of a sample to be 42 mL. The actual volume of the sample is 48 mL. Find the percent

galina1969 [7]

Answer:

Percent of error of Logan's Estimate is 12.5%

Step-by-step explanation:

Given:

Actual Volume of sample =48 mL

Estimated Volume of sample = 42 mL

We need to find the percent errors of Logan estimate.

To calculate percent of error below are the steps.

Step 1: Subtract the Actual value from the estimated value.

Step 2: Take the absolute value of step 1

Step 3: Divide that answer by the Actual value.

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now Substituting the values we get;

Step 1: To Subtract Actual Volume with Estimated Volume

Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL

Step 2: Find Absolute value we get;

$|-6| = 6$

Step 3 : Divide that answer by the Actual volume.

$\frac{6}{48}=0.125$

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

$0.125\times 100 = 12.5\%$

Hence Percent of error of Logan's Estimate is 12.5%

5 0

3 years ago

In the 2004 Olympics, Adam won a gold medal in the men's 500 m kayak race, with a time of 1 min and 37.9 sec. He also won the br

Sedbober [7]

Answer:

The correct answer is Adam rowed faster in the men's 500-meter kayak race.

Step-by-step explanation:

To find the speed he rowed in both races, you need to divide the distance of the race by the time it took him to finish. In the first race, he rowed 500 meters and did it in a time of 1 minute 37.9 seconds, so the speed in that race would be $\frac{500}{97.9}$ or approximately 5.10725 meters per second. In the second race, Adam rowed a distance of 1000 meters and did it in a time of 3 minutes 28.2 seconds, which means his speed in that race would be $\frac{1000}{208.2}$ or approximately 4.80307 meters per second. Since his speed in the first race was faster than his speed in the second race, Adam rowed faster in the first race would be the correct answer.