Using the law of sines,
sin80°/3.1 = sin∠QSR/2.4
∠QSR = sin^-1(2.4sin80°/3.1)
≈ 49.679°
∠SQR = 180° - 80° - 49.679° (angles in a triangle)
= 50.321°
sin50.321°/RS = sin80°/3.1
RS = (3.1sin50.321°/sin80°)
= 2.4 units (nearest tenth)
The length of line RS is 2.4 units.
<h3>
Answer: 5040</h3>
Explanation:
There are 7 ways to pick the first place position, then 6 ways for second place, 5 for third, and so on. We count down until we get to 1
7,6,5,4,3,2,1
Multiply out those values to get the final answer. On many calculators this can be done using the factorial button, indicated as an exclamation mark
7! = 7*6*5*4*3*2*1 = 5040
He will mix some 20% solution and some 70% solution to make 60% solution.
Let x = number of liters of 20% solution.
Let y = number of liters of 70% solution.
He wants to make 50 liters of 60% solution, so
x + y = 50 First Equation
The amount of acid in x amount of 20% solution is 20% of x, or 0.2x
The amount of acid in y amount of 70% solution is 70% of y, or 0.7y
The amount of acid in 50 liters of 60% solution is 60% of 50 liters, or 0.6 * 50 = 30
Now we add the amounts of acid.
0.2x + 0.7y = 30 Second Equation
x + y = 50
0.2x + 0.7y = 30
-0.2x - 0.2y = -10
0.2x + 0.7y = 30
------------------------
0.5y = 20
y = 40
x + y = 50
x + 40 = 50
x = 10
Answer: He needs 10 liters of 20% solution and 40 liters of 70% solution.
Answer:
<h3>aww thanks </h3>
the process by which plants and animals.make their own food is called photo synthesis.
Answer:
34
Step-by-step explanation:
because multiply 54 feet is what you get is 34
