Answer:sinA=8/17
Step-by-step explanation:
Using Pythagoras principle
x=√(15^2+8^2)
x=√(15x15+8x8)
x=√(225+64)
x=√(289)
x=17
SinA=opposite/hypothenus
SinA=8/17
Answer:
True, all integers are rational numbers.
Step-by-step explanation:
Because each integer can be written as n/1 and integers can be positive and negative. For example, 3= 3/1 , 3 is the rational number. But all rational numbers like 1/2 =0.5 are not an integer. (fractions, decimals are not integers.)
Answer:
x° = ∠OBR = ∠ABC (base angles of a cyclic isosceles trapezoid)
Step-by-step explanation:
APRB form a cyclic trapezoid
∠APO = x° (Base angle of an isosceles triangle)
∠OPR = ∠ORP (Base angle of an isosceles triangle)
∠ORB = ∠OBR (Base angle of an isosceles triangle)
∠APO + ∠OPR + ∠OBR = 180° (Sum of opposite angles in a cyclic quadrilateral)
Similarly;
∠ORB + ∠ORP + x° = 180°
Since ∠APO = x° ∠ORB = ∠OBR and ∠OPR = ∠ORP we put
We also have;
∠OPR = ∠AOP = ∠BOR (Alternate interior angles of parallel lines)
Hence 2·x° + ∠AOP = 180° (Sum of angles in a triangle) = 2·∠OBR + ∠BOR
Therefore, 2·x° = 2·∠OBR, x° = ∠OBR = ∠ABC.
Answer:if she spends $10 dollars every 3 weeks it will take her 45 weeks to have her only $5 dollars left in her bank account
Answer:
8
Step-by-step explanation:
use pythagoras theorem
a^2+b^2=c^2
a^2+6^2=10^2
a^2=10^2-6^2
a^2=100-36
a^2=64
a=square root of 64
a=8
