To calculate the employee raise, we multiply how much he is making by the percent of his raise.
Raise= 14.41*7.5%
Change to decimal 14.41*.075
Raise=.75
His raise is $10.80
Answer:
470 cm³
Step-by-step explanation:
Volume of rectangular prism = width × length × height
⇒ Volume of whole rectangular prism = 9 cm × 10 cm × 8 cm
= 720 cm³
Side lengths of the missing piece:
- width = 5 cm
- length = 10 cm
- height = 8 cm - 3 cm = 5 cm
⇒ Volume of the missing piece = 5 cm × 10 cm × 5 cm
= 250 cm³
⇒ Volume of irregular figure = 720 cm³ - 250 cm³
= 470 cm³
Answer:
DE = about 41.843 (rounded to nearest thousandth)
EF= 34.276 (rounded)
Step-by-step explanation:
For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°. We can use trigonometry to figure this out. SinФ equals the opposite side (in this case, 24) divided by the hypotenuse. Set sinФ equal to a ratio of the sides like this:
sin(35) =
x represents the hypotenuse length, which we don't know; 35 is the angle measure. Next, isolate x so that the equation looks like this:
= x
You will need a calculator for the next part. (and make sure you're in degree mode!). evaluate sin(35) and divide 24 by that value. That is DE's length. DE = about 41.843 (rounded to nearest thousandth)
For EF, we can just use Pythagorean theorem now that we know the other sides' values.
EF^2 + 24^2 = DE^2
*a calculator might also be useful for this part.
EF= 34.276 (rounded)
Answer:

Step-by-step explanation:
Let the weight of the bag of sand with an unknown weight be given as "x" pounds. Then, the difference between the weight of an average bag of sand which is given to be as 22.3 pounds, is given as
. Therefore, the absolute value function describing the difference between the weight of an average bag of sand and a bag of sand with an unknown weight will be given as:
.
Let us represent this by f(x) or y. And thus, we get:
