Answer: 45
Explanation:
The sine of any acute angle is equal to the cosine of its complement. The cosine of any acute angle is equal to the sine of its complement. of any acute angle equals its cofunction of the angle's complement. Yes, there is a "relationship" regarding the tangent of the two acute angles (A and B) in a right triangle.
Answer:
Option D: 6:12 is correct answer.
Step-by-step explanation:
We can find the simplest form of ratio to compare it with the given ratios.
According to given statement,
The ratio is:
Now we will check if the given options can be simplified to 1:2
So,
Option A:
Option B:
Option C:
Option D:
As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.
Hence,
Option D: 6:12 is correct answer.
Answer:
3500 tons
Step-by-step explanation:
The Greenpoint factory produced 2/5 of the bricks that the Consolidate Brick Company produced in 1991.
Let the amount of bricks produced by the Greenpoint factory be g and the amount of bricks produced by the Consolidated brick company be c.
Therefore:
g = 2/5 * c = 2c/5
That year, the Greenpoint factory produced 1400 tons of bricks. This implies that:
1400 = 2c/5
To find the amount that the Consolidated Brick Company produced, solve for c:
1400 = 2c/5
1400 * 5 = 2c
7000 = 2c
c = 7000 / 2 = 3500 tons
The Consolidated Brick Company had a total production output of 3500 tons in 1991.
Answer:
m<U = 38degrees
Step-by-step explanation:
From the given diagram, <B = <U since both triangles are similar, hence;
Hence;
2y+2 = 3y-16
2y - 3y = -16 - 2
-y = -18
y = 18
Get m<U
m<U = 3y-16
m<U = 3(18) -16
m<U = 54 - 16
m<U = 38degrees
