Answer:
Step-by-step explanation:
We will use the co-function identity for sine, where:
Since sin(21)=0.358=cos(x). This means that:
Solve for x. Add x to both sides:
Subtract 21 from both sides:
Hence:
Answer:
False
Step-by-step explanation:
For AD and AC to be opposite rays they must be on the same straight line in opposite directions.
Answer:
We need to sketch the problem first.
Find the size of angle R.
One member travels a distance of 12km due north. Another team member heads 50degree east of north and travels a distance of 10km.
If se substute 50° of 180 we have
180-50=130°
The distance between the two team members is the missing side.
We know two sides and included angle, so we use the cosine rule.
A2+b2+c2-2bcCosA
= 102+122-(2x10x12xcos130°)
=100+144-(-147.08)
=100+144+147.08
=391.08
A==SQRT391.08
=19.775
19.7km
Step-by-step explanation:
Since the volume of a rectangular prism is V=lwh, we can isolate for h to obtain that h=V/(lw).
So, for the first prism, the height is 117/(4*6.5) = 4.5
Similarly, for the second prism, the height is 175.5/(6.5 * 4) = 6.75
So, the difference in heights is 6.75-4.5=2.25 = 2 1/4 inches
Answer:
21°
Step-by-step explanation:
A line is 180 degrees.
Subtract 159 from 180 and you get the answer.
