Answer:
6.7
Step-by-step explanation:
cos(48) = adjacent/hypotenuse
cos(48) = x/10
x = 10cos(48)
x = 6.691306064
Answer:

Step-by-step explanation:
<u>Function Modeling</u>
The problem gives us the following conditions: The bottom of Ignacio's desktop is 74.5 cm from the floor, and the top of his legs is 49.3 cm from the floor. We know the chair where he's sitting at has a knob that raises the legs 4.8 cm per clockwise rotation r. This means that the total distance the legs are raised for r rotations is
. The total distance of his legs from the floor is then:

This distance cannot reach or exceed 74.5 cm, thus

Solving for r

Or, equivalently

The ratio of the volume of pipe a to the volume of pipe b is 27:1 .
<h3>What is cylinder?</h3>
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
Given that,
Radius of pipe a is 6 cm, and the radius of pipe b is 2 cm.
We know that the volume of cylinder is :- 
where r is radius and h is height of the cylinder.
If two figures are similar then ratio of volume is equal to the cube of any dimension.
The ratio of the volume of Pipe a to the volume of Pipe b :-

= 
Hence, The ratio of the volume of pipe a to the volume of pipe b is 27:1 .
To learn more about cylinder from the given link:
brainly.com/question/1392572
#SPJ4
<h3>
Answer: Choice A</h3>
The -3 out front of that function means |-3| = 3 is the amplitude, which is the largest of the four functions.
In general, the sine function is
y = A*sin(B(x-C)) + D
where |A| is the amplitude. In the first answer choice, A = -3 so |A| = |-3| = 3.
Cosine has the same format since cosine is just a phase shift of sine.