Answer:
B 41.4
Step-by-step explanation:
complete Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
with "c" being the side opposite of the angle C.
=>
8² = 10² + 12² - 2×10×12×cos(C)
64 = 244 - 240×cos(C)
240×cos(C) = 244 - 64 = 180
cos(C) = 180/240 = 18/24 = 3/4 = 0.75
C = 41.40962211... ≈ 41.4
Answer:
Step-by-step explanation:
0.1322 ≅ 0.13
Answer:
a. 28.8
Step-by-step explanation:
Using the theorem of similarity, the following equation can be generated:

Solve for x

Cross multiply


Divide both sides by 25
x = 28.8
7. 3/5 = 4.5/x
3x= 5(4.5)
x = 15/2
8. 6/4 = 9/x
6x= 45
x= 15/2
8. since triangle ABC and ADE are identical,
angle E is also 30 degrees
so angle D = 180-(30+70)=80 degrees
9. 9/3 = x/5
3x = 45
x = 45/3 = 15
Answer:
x =
if you consider doing decimal form x = 0.58027921. . .
Step-by-step explanation:
Take logarithm of both sides of the equation to remove the variable from the exponent.