The drawbridge will be at an incline of 10.56 degrees. That is 5.56 degrees more than it's initial incline of 5 degrees.
If you draw a picture of this situation, you will see that you can write a sine ratio with the 11 and 60 (opposite over hypotenuse)
sin(x) = 11/60 Solve the equation for x
x = 10.56
Answer:
Step-by-step explanation:
Parallel lines have the same slope. The slope of the given line is 3. The easy way to do this, the one that uses our logical brains as opposed to our mathematical brain, tells us that since there is only one choice that has a given slope of 3, that is the one that we want. The second choice down is the only one that has a slope of 3.
Mathematically,
and
and
so
y = 3x - 7 (the second choice)
Answer:
The total number of students on the bus if there are 15 females and n males
Step-by-step explanation:
The total number usually means addition, as well as 15 females + n males would give you the total
Answer:
He needs to complete a distance of 4,030 yards around the rink to make a total skating distance of 3 miles
Step-by-step explanation:
In this question, we are asked to calculate the number of yards needed to complete 3 miles skating around a rink.
We proceed as follows;
First, we can see he has skated 5 times around a rink that has a distance of 250 yards. His total distance covered would be 250 * 5 = 1250 yards
Now he is looking at completing 3 miles, we need to know the number of yards in 3 miles.
Mathematically, 1 mile = 1760 yards
3 miles = 3 * 1760 = 5,280 yards
To know the number of yards he need to skate more, we simply carry out a subtraction;
5,280 yards - 1250 yards = 4,030 yards
