First lets see the pythagorean identities
So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is
Now we need to check the sign of sin theta
First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.
So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .
Answer:
90 tickets
Step-by-step explanation:
let the number of tickets be x
and the total amount each has be y
For Jessica
the amount is
y=10x--------1
for Laurie the amount is
Note: she has $360 already
y=360+6x-------2
to find the number of the tickets that will make them have the same amount, let us equate 1 and 2
10x=360+6x
10x-6x=360
4x=360
x=360/4
x=90
149 pennies.
Very likely: extremely likely, highly reasonable, almost certainly.
Considering the above definitions of "very likely", a jar of 150 coins, 149 of them being pennies, would satisfy each definition given for "very likely".
Almost certainly indicates that there is a possibility that you'd choose a coin that's not a penny, so a jar of 150 coins which are all pennies doesn't satisfy this definition.
Answer:
Your answer would be 26.64cm.
A step-by-step explanation for you, peabrain:
For all four sides:
1.8cm x 2.7cm = 4.86cm
4.8cm x 4 sides = 19.44cm
For the top and bottom:
1.8cm x 1.8cm = 3.6
3.6cm x 2 sides = 7.2cm
For the complete LSA (lateral surface area):
19.44 + 7.2cm = 26.64cm
Do not forget to round, if that is in your homework instructions :-)!
The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The distance traveled by passenger train = 245 miles
The distance traveled by freight train = 245 miles
The time takes for both trains is the same.
Let's suppose the rate of the passenger train is x and the rate of the freight train is y;
As we know,
Distance = speed×time
245/x = 200/y
200x = 245y
200x - 245y = 0 ..(1)
x = 15 + y ..(2)
Equations (1) and (2) represent the situation.
After solving equations (1) and (2):
Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.
Learn more about the linear equation here:
brainly.com/question/11897796
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