Act ? the hypotenuse of a certain right triangle is 10 units long. if one of the legs is 8 units long, what is the area of the triangle?

You use pythagorean theorem ( c*2=a*2+b*2). C is the hypotenuse and A and B are legs and they're squared not multiplied by 2. you solve for the other leg and it ends up being 6 so you just use the triangle area formula and you'll get 6×8/2= 24 square units

0.008 °C

Explanation:

1) Write the changes in the temperature of the city over the 4 days in an easy way to read.

1.34 °C- 5 / 7 °C- 0.75 °C4/9 ° C

2) Write the expression to show the average daily change in temperature.

The average of a set of data is calculated with the expression:

Average = (sum of the data) / amount of data

Hence, you need to add the four change of temperature data and divide by 4.

The expression is:

Average =  [ 1.34 °C + (- 5 / 7 °C) + ( - 0.75 °C) + 4/9 ° C ] / 4

3) Write the steps to solve the expression:

You can choose between adding  fractions or adding the decimal forms of the numbers.

If you choose adding decimals, keep the complete decimals in your calculator, to avoid the accumulation of errors due to rounding. Round only the final result.

These are the steps.

a. Find the decimal forms of the fractions:

- 5/7  ≈ 0.71428 4 /9 ≈ 0.44444

b. Add the four data:

1.34°C + (- 0.71428 °C) + (-0.75 °C) + 0.44444 °C ≈ 0.32019 °C

c. Divide the sum by the number of data (4)

0.32019 °C / 4 ≈ 0.080004 °C

4. Round to the nearest hundredth

The place of the hundreth is the second after the decimal point, which is 8 in this case:

0.080004 °C ≈ 0.08 °C