Answer:
35.68°
Step-by-step explanation:
In the picture attached, the triangle is shown.
From sine definition:
sin(y) = opposite/hypotenuse
The leg measuring 7 units is opposite to angle y, and the hypotenuse measures 12 units, therefore:
sin(y) = 7/12
y = arcsin(7/12)
y = 35.68°
Answer:
The volume of the cylinder shown in the figure is 628 cube meters
Step-by-step explanation:
Given figure is about cylinder
The height of the cylinder = h = 8 meters
The radius of the base of cylinder = r = 5 meters
Now, let The volume of cylinder = V m³
So, The volume of cylinder is given as V =
×r²×h
where r is the radius of its base
And h is the height of cylinder
The value of
= 3.14
So, V =
× r² × h
Or, V = 3.14 × (5)² × 8
Or, V = 3.14 × 25 × 8
or, V = 628 m³
So, The volume of cylinder = V = 628 m³
Hence The volume of the cylinder shown in the figure is 628 cube meters Answer
The number of batches of salsa that can be made = x = 6 batches
The number of bat tomato sauce that can be made = y = 3 batches
Step-by-step explanation:
We are given the system of equations:

where variable x represents the number of batches of salsa that can be made and y represents the number of bat tomato sauce that can be made.
We need to solve the systems to find the values of x and y.
Let:

Subtract both equations:

So, value of y=3
Putting value of y in eq(2) and finding value of x:

So, value of x=6
The number of batches of salsa that can be made = x = 6 batches
The number of bat tomato sauce that can be made = y = 3 batches
Keywords: System of equations
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I think maybe 3) would make the most sense because she wants a random sample of students and the other options are specific on the type of students.