We'll assume this is an arbitrary triangle ABC.
A) No, the sines of two different angles can be whatever they want
B) sin(B)=cos(90-B)
Yes, that's always true. The "co" in cosine means "complementary" as in the complementary angle, which adds to 90. So the sine of an angle is the cosine of the complementary angle.
C) No, the correct identity is sin(180-B)=sin B. Supplementary angles share the same sine.
D) Just like A, different triangle angles often have different cosines.
Answer: Choice B
Answer:
97.53 in³
Step-by-step explanation:
The cylindrical birthday cake has a diameter (d) of 14 inches and a height (h) of 6 inches.
The radius of the cake (r) = diameter / 2 = 14 inches / 2 = 7 inches.
The volume of the full cake = πr²h = π(7²)6 = 924 in³
Since only a part of the cake was cut and given to Myong. The total measure of the cake is 360°, but the part given to her was 38°. Hence the volume of her slice is given as:
Volume of her slice = (38 / 360) * volume of the full cake = (38 / 360) * 924 = 97.53 in³
Volume of her slice = 97.53 in³
Answer:
1 g/cm³
Step-by-step explanation:
Volume of the model:
V=1/3bh= 1/3*100*6= 300 cm³
Density= weight/volume= 300 g/300 cm³= 1 g/cm³
The lowest density is 1 g/cm³
Answer:
11,880 different ways.
Step-by-step explanation:
We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.
We will use permutations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario
and
.





Therefore, offices can be filled in 11,880 different ways.
Substitue y=3x into the other equation to get 3x=-x+4. Solve this to get 4x=4 therefore x=1.
knowing this, y=3