Add and subtract the second term to the expression and factor by grouping.
5
(
p
+
4
q
)
(
2
p
−
9
q
)
Answer:
sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5
Step-by-step explanation:
We need to find sine, cosine, and tangent of theta for this triangle.
First, define the different trigonometric functions:
- sine is opposite side to the angle divided by the hypotenuse (longest side not adjacent to the 90 degree angle)
- cosine is the adjacent side next to the angle divided by the hypotenuse
- tangent is the opposite side to the angle divided by the adjacent side
Now, look at theta (θ):
- the opposite side is marked 12
- the adjacent side is marked 5
- the hypotenuse is marked 13
So:
- sin(θ) = opposite / hypotenuse = 12/13
- cos(θ) = adjacent / hypotenuse = 5/13
- tan(θ) = opposite / adjacent = 12/5
Thus the answers are: sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5.
A medial triangle is made from the midlines of the larger triangle, and its
length is half the length of the third side of the triangle.
- The perimeter of ΔABC is <u>20</u>
Reasons:
The medial triangle of triangle ΔABC is triangle ΔDEF
The medial triangle of ΔDEF is ΔXYZ
The perimeter of ΔXYZ = 5
By the midpoint theorem, we have;
The lengths of the sides of ΔDEF = 0.5 × The lengths of the sides of ΔABC
∴ The perimeter of ΔDEF = 0.5 × The perimeter of ΔABC
Which gives;
The perimeter of ΔABC = 2 × The perimeter of ΔDEF
Similarly, between ΔXYZ and ΔDEF, we have;
The perimeter of ΔDEF = 2 × The perimeter of ΔXYZ
∴ The perimeter of ΔDEF = 2 × 5 = 10
Therefore;
The perimeter of ΔABC = 2 × 10 = 20
<u>The perimeter of ΔABC = 20</u>
Learn more about the perimeter of a triangle here:
brainly.com/question/1340753
Answer:
3293 ft to nearest tenth = side
Step-by-step explanation:
To find altitude this is the same in trigonometry as finding the side and we use calculation below in finding the hypotenuse which is same term as side for the angle of depression just to double check that height (altitude is less than slope in calculation).
sin (32) = 0.9271838546
3600/0.9271838546 = 3882.725074
= 3883 ft to nearest tenth. = slope
Then cos (32)x3882.725074 = 3292.737608
= 3293 ft to nearest tenth = side
5
5 is a factor of 5
I am typing to reach the word count
