Answer:
30 30 30 30 30 30 30 30
Step-by-step explanation:
1-3 are about trigonometric ratios (SOH CAH TOA). 4, 5 are about the Law of Cosines, and 6 uses the Law of Sines.
1. Sin = Opposite/Hypotenuse
x = 10*sin(40°) ≈ 6.428
2. Sin = Opposite/Hypotenuse
x = arcsin(7/12) ≈ 35.69°
3. Tan = Opposite/Adjacent
x = 18/tan(52°) ≈ 14.063
4. b^2 = a^2 +c^2 -2ac*cos(B)
B = arccos((a^2 +c^2 -b^2)/(2ac)) = arccos((7^2 +13^2 -8^2)/(2*7*13))
B = arccos(11/13) ≈32.20°
5. Same formula.
x = √(a^2 +c^2 -2ab*cos(B)) = √(157-132cos(42°)) ≈ 7.675
6. The ratio of side lengths is the same as the ratio of the sines of the opposite angles.
6/10 = sin(x)/sin(100°)
x = arcsin((6/10)*sin(100°)) ≈ 36.22°
Answer:
For the first one, the answer is 20.82
Step-by-step explanation:
you first add 2.65 to 2.56 and then add 5.9 to 5.9 and you add them together and you get 16.92 and then you subtract it from 37.74
also for the second one I don't understand. could you be a little more clear?
Answer:
Step-by-step explanation:
Find the area of the shape by creating two shapes. A large rectangle and a very small triangle. The area of the rectangle is 13x12, and the area of the triangle is (1/2)3x4. The area of both shapes together is 6+156=<u>162</u>.
Now you can easily calculate the area of each rug and determine whether it is over half of 162 (because 162 is the area of the entire floor), or under half of 162. If it is under 81, then it does not cover at least half of the floor.
12x6 = 72 no
10x9 =90 yes
13x12 = 156 yes
3x12 = 36 no
8x8 = 64 no
Hi there
The formula is
I=prt
P principle 14300
R interest rate 7+1/2=7.5%
T time 4 years
I=14,300×0.075×4
I=4,290
Hope it helps