Answer:
D
Step-by-step explanation:
side HG is 3
side FG is 5 hypotenuse
sin F = 3/5 = opposite/hypotenuse
cos G is adjacent/hypotenuse
adjacent side is HG which = 3
hypotenuse is 5
Pythagoras Theorem:
hipotenuse²=leg₁²+leg₂²
First posible triangle:
hypotenuse=13 (13²=169)
leg₁=12 ( 12²=144)
leg₂=5 (5²=25)
13³=144 + 25
Answer:can be side lengths of a triangle
Second triangle:
hypotenuse=12.6 (12.6²=158.76)
leg₁=6.7 ( 6.7²=44.89)
leg₂=6.5 (6.5²=42.25)
leg₁²+leg₂²=44.89+42.25=87.14≠158.76
Answer: cannot be side lenghts of a triangle.
third triangle:
hypotenuse=13 (13²=169)
leg₁=12 ( 12²=144)
leg₂=11 (11²=121)
leg₁²+leg₂²=144+121=265≠169
Answer: cannot be side lenghts of a triangle.
fourth triangle:
hypotenuse=13 (13²=169)
leg₁=6 ( 6²=36)
leg₂=4 (4²=16)
leg₁²+leg₁²=36+16=52≠169
Answer: cannot be side lenghts of a triangle.
Answer:
There was a 24% decrease
Step-by-step explanation:
Percentage decrease = (final season's score - semi-final score) / semi final score x 100
×100
× 100 = -24%
Answer:

Step-by-step explanation:
A 180 counterclockwise rotation of (5, 4).
The transformation rule is as follows:
turns into
.
Answer: Simplify 8/10 which is 4/5.
Step-by-step explanation: