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attashe74 [19]
3 years ago
6

Find f(x), where f is the inverse of f. Also state the domain off ' in interval notation.​

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
6 0

Answer:

X/5 - 5 = f(x) for the domain [0,infinity)

Step-by-step explanation:

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A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on
Volgvan

Answer:

D. tan(30^\circ+45^\circ) is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

\angle DCB =45^\circ\\\angle ACB =75^\circ\\

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the \triangle ABC, we are given the base BC and the \angle ACB, and the perpendicular is to be find out.

We can use trigonometric identity:

tan\theta =\dfrac{Perpendicular}{Base}

tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft

Hence, D. tan(30^\circ+45^\circ) is the correct answer.

5 0
3 years ago
a scuba diver descended at a rate of 2 1/4 per second. If 0 represents the surface of the water and distances below the surface
Shtirlitz [24]

Answer:

The location will be at - 28\frac{1}{8} units.

Step-by-step explanation:

A scuba diver descended at a rate of 2\frac{1}{4} units per second.

Now, if 0 represents the surface of the water and distances below the surface are negative, then after 12\frac{1}{2} seconds the location of the diver will be given by the followings :

In one second the diver descends by 2.25 units depth.

So, in 12.5 seconds the diver will descend by (2.25 \times 12.5) = 28.125 units i.e. 28\frac{1}{8} units depth.

Therefore, the location will be at - 28\frac{1}{8} units. (Answer)

6 0
3 years ago
Surface Area of Cylinders - Item 1175
mylen [45]

The surface area is 47.1 sq in.

Step-by-step explanation:

Given,

The height (h) of the coin (cylinder shaped) = 5 inches

The radius (r) = 1.5 inches

To find the surface area of the coin.

We need to find the lateral surface area of the coin.

Formula

The surface area of the coin of radius r and height h is 2πrh.

Now,

Putting the value of h and r and π=3.14 we get,

Area = 2×3.14×1.5×5 sq inches

= 47.1 sq in

Hence, the surface area is 47.1 sq in.

5 0
3 years ago
7.The mass of a grain of sand is approximately 2.8×10^−11 grams
ZanzabumX [31]
The Answer is A. Milligram.
8 0
3 years ago
Read 2 more answers
Identify an equation in point - slope form for the line parllel to y = 1/2 x - 7 that passes through (-3,-2)
vichka [17]

Answer:

B. y + 2 = ½(x + 3)

Step-by-step explanation:

Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, <em>y</em><em> </em><em>-</em><em> </em><em>y</em><em>₁</em><em> </em><em>=</em><em> </em><em>m</em><em>(</em><em>x</em><em> </em><em>-</em><em> </em><em>x</em><em>₁</em><em>)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE term of what they really are.

5 0
4 years ago
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