Answer:
Step-by-step explanation:
In order to solve this problem, one must use the right triangle trigonometric ratios. Right triangle trigonometric ratios are ratios between the sides and angles of a right triangle. These ratios are the following:
Bear in mind that each side is named relative to the angle that one is describing in the triangle. Thus, the name of the side can change based on the angle. Please note that this only applies to the (opposite) and (adjacent) sides. The (hypotenuse) is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this triangle, one is asked to find an angle, one is given the length of the side opposite the angle, as well as the hypotenuse. Thus, one should use the ratio of sine (sin), to solve for the unknown angle.
Substitute,
Inverse operations,
Simplify,
Answer:
In order for the statement to be true, the value of x has to be 19.
Step-by-step explanation:
3(x - 3) - 16 = 2(x - 8) + 10
3x - 9 - 16 = 2x - 16 + 10
3x - 25 = 2x - 6
x - 25 = - 6
x = 19
9514 1404 393
Answer:
0.33 litres
Step-by-step explanation:
If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...
3(m +0.07) +4m = 2.52
7m +0.21 = 2.52 . . . . . . . . simplify
7m = 2.31 . . . . . . . . . . . . . subtract 0.21
m = 0.33 . . . . . . . . . . . . . divide by 7
Each mug can hold 0.33 litres.
Answer:
A B C
Step-by-step explanation:
Let A,B and C be the number of seats in section A,B and respectively. The situation can be represented by the following system. 1. A+B+C=49,000 2. 25A+20B+50C=1,052,000 and 3. A=B+C
The length is 10 meters.
150 divided by 15 is 10.
Hope this helps!
