#8: 14.95+7.55=22.50 so the cost of the DVD is $22.50 and the subtraction equation is, 22.50-7.55=14.95
#10: 2/3+1/3=1 so m=1
#12: 7/9+1/3=10/9 or 1 1/9
Answer:
slightly confused on the wording if he got back 3/4 from 16.5 then he earned back 12.375 points
if -16.5 is the 1/4 he didnt get back then he had 66 points
Step-by-step explanation:
We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.
11.
Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.
tan B = b/a
b = a tan B = 65.7 tan 28.9° = 36.3 m
12.
Similar story, boat at B, opposite b=3.5 m, rope c=12 m
sin B = b/c
B = arcsin b/c = arcsin (3.5/12) = 17.0°
13.
c=124 m, A=58°
sin A = a/c
a = c sin A = 124 sin 58 = 105.2 m
14.
That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so
cos A = b/c
A = arccos b/c = arccos (1.8/2.8) = 50.0°
15.
Not a right triangle, an isosceles triangle. Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°. We're after d=2b:
sin B = b/c
b = c sin B
d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm
Almost equilateral
Answer:
30 + 0.89m
Step-by-step explanation:
I think this is the correct answer.
The answer is 6.
To do this, remember PEMDAS?
You would first have to add what is in the parenthesis THEN do -3 + 9 to get 6.
