angle QRP=180-(64+47)
=69°
Using sin rule,
p/sinP=q/sinQ.
7.6/sin64=q/sin47
q=6.2cm
Using the formula;
area=1/2p*qsinR
we have;
1/2×7.6×6.2×sin69°=21.995
answer= 22
Answer:
9000 metres
Step-by-step explanation:
He went on a 54 km hike. First, we have to find this distance in metres.
1 km = 1000 m
54 km = 54 * 1000 = 54000 m
He divided the distance evenly over 6 days.
To find how many metres he walked each day, we divide the total distance he hiked by the number of days spent. That is:
54000 / 6 = 9000 metres
He walked 9000 metres each day.
Answer:
ascending order:
angle KLM
angle KML
angle LKM
Step-by-step explanation:
angle opposite to the largest side is the largest angle:
largest angle = angle LKM
angle opposite to the smallestest side is the smallest angle:
smallest angle = angle KLM
First we will convert those radian angles to degrees, since my mind works better with degrees. Let's work one at a time. First,

. If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis. The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2. The cotangent of this angle, then is 1/-1 which is -1. As for the second one, converting radians to degrees gives us that

. Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis. The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2. Therefore, the secant of that angle is 2/√3.
Answer:

Step-by-step explanation:
I assume that you need simplification of the given expression.
The given expression is:

Using distributive property and multiplying 2 inside the parenthesis and 1 inside the other parenthesis. This gives,

Therefore,
is equal to:

Now, combining like terms using the commutative property of addition, we get:

Therefore, the simplified form is 