Set up multiplication/division to cancel out units that you do not need for your final answer and introduce units that you do.
You want your answer in the form km/hr and you are starting with m/s so:
(12m/s)(km/1000m)(60s/min)(60min/hr)=43.2km/hr
The car is traveling at 43.2 kilometers per hour.
The shaded region's area is x² + 23x + 49.
Step-by-step explanation:
Step 1; To calculate the area of the shaded region, we subtract the area of the square which has side lengths of (x + 1) from the entire rectangle. So we determine the equations that denote the areas of the two shapes.
Step 2; Area of the square = side length × side length (x + 1)×(x + 1) = x² + x + x + 1 = x² + 2x + 1
Area of the bigger rectangle = length × breadth = (x + 10) × (2x + 5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50.
Step 3; The given shaded region's area = Area of the bigger rectangle - Area of the smaller square = 2x² - x² + 25x - 2x + 50 - 1 = x² + 23x + 49.
So the shaded region's area of x² + 23x + 49.
Answer:
I think it's B
Step-by-step explanation: I hope that helps
<h2>Answer:</h2>
The blue car has traveled the greater distance on one gallon of gasoline
<h2>Explanation:</h2>
The formula for calculating the unit rate is expressed as shown:
For the blue car
Distance = 39.5miles
Gallons of gasoline = 1.25 gallons
Get the unit rate:
The unit rate of the blue car as a mixed fraction is 31 3/5 miles per gallon
For the red car
Distance traveled = 22.4 miles
Gallons of gasoline = 0.8 gallons of gasoline
Get the unit rate of the red car;
From the unit rates, we can see that the blue car has traveled the greater distance on one gallon of gasoline since its unit rate is greater than that of the red car.
Answer:
142 degrees
Step-by-step explanation:
Since line M is straight, we know that the sum of the measure of angle 7 and 38 degrees must be 180. So we can set up an equation. Let's set the measure of angle 7 to be x
38 + x = 180
we can subtract 38 from both sides to find
x = 180-38 = 142
