Answer:
B = 612.2 ft
Step-by-step explanation:
Solution:-
- The elevation of person, H = 235 ft
- The angle of depression, θ = 21°
- We will sketch a right angle triangle with Height (H), and Base (B) : the boat's distance to the edge of the cliff and the angle (θ) between B and the direct line of sight distance.
- We will use trigonometric ratios to determine the distance between boat and the edge of the cliff, using tangent function.
tan ( θ ) = H / B
B = H / tan ( θ )
B = 235 / tan ( 21 )
B = 612.2 ft
Answer:
1. Given.
2. Opposite Sides OF A Parallelogram Are Congruent.
3. Corresponding Angles Postulate.
4. Substitution
5. ASA Congruence Postulate
6. Definition Of A Parallelogram.
Step-by-step explanation:
A(n,s)=(ns^2)/(4tan(180/n)), n=number of sides, s=side length
A(8,4.6)=(8*4.6^2)/(4tan22.5)
A(8,4.6)=42.32/tan22.5 m (exact)
A(8, 4.6)≈102.17 m^2 (to nearest hundredth of a square meter)
Answer:
Kirasent 16 and Ryan sent 96
Step-by-step explanation:
I got this because Kira is x-8 and Ryan is 4x. 4x-x-8=112 is equal to 5x=120. So x=24.Kira has 16 when plugging in x and Ryan has 96 because 4 times 24 is 96.
There are 19 people total, and groups of four are being asked of us. We can use the formula for permutations or combinations.
Permutations:

Combinations:

Where in both scenarios, there are <em>n</em> objects being chosen at <em>r</em> times.
19 P 4 is 93024
19 C 4 is 3876
It all depends on whether order matters with group placement; if it does, your answer is
93024, if not, then your answer is
3876.:)