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Morgarella [4.7K]
3 years ago
12

What is the inverse of the function

" id="TexFormula1" title="f(x) = \frac{x + 1}{x} " alt="f(x) = \frac{x + 1}{x} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
expeople1 [14]3 years ago
3 0
Y=(x+1)/x

x=y+1 / y

x=1/(y-1)
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Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 i
Delicious77 [7]

Answer:

Measure of ∠FGE is 40.2°.

Step-by-step explanation:

Refer to the attachment.

Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.

To find the value of ∠FGE use trigonometric ratios.

Use sine ratio to find the value of ∠FGE.

\sin \theta=\dfrac{opposite\:side}{hypotenuse\:side}

Rewriting it in terms of x° as follows,

\sin x=\dfrac{opposite\:side}{hypotenuse\:side}

Now find the opposite and hypotenuse side of the angle ∠FGE.

So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.

Substituting the values,

\sin x=\dfrac{FE}{FG}

Given that length of FE is 12 inch and FG is 18.6 inch.

Substituting the value,

\sin x=\dfrac{12}{18.6}

To find the value of x, taking inverse sin.

x=\arcsin \left(\dfrac{12}{18.6}\right)

Calculating the value,

x=40.17

Rounding to nearest tenth the value of angle is 40.2

Therefore measure of ∠FGE is 40.2° .

8 0
3 years ago
the scale factor of the blueprint of a theater stage to the actual theater stage is 1in/6ft. the area of the stage on the blue p
liq [111]
Answer: 1728ft^2
The scale of the blueprint is <span>1in=6ft and the area of the stage is 48in^2. To convert the area, you just need to find the scale with inch^2. The equation would be:

</span>1 inch=6ft <span>
inch^2= x ft^2
(6ft)^2= x ft^2
36ft^2= x ft^2
x=36

1 inch^2 =36 ft^2
area of the actual stage= 48 inch^2 * (36 ft^2/inch^2)= 1728ft^2</span>
7 0
3 years ago
Name three collinear points.<br> D<br> В.<br> C С<br> N
dolphi86 [110]

Answer:

BD

AC

SN       (might not be one)

AB

Step-by-step explanation:

5 0
3 years ago
Bus stop Restaurant sell 3/4 as many cheeseburgers as they do with hamburgers on any given day. If there are a total of 42 burge
schepotkina [342]

Answer:

24cb 18 hb

Step-by-step explanation:

Let's call C the number of cheese burger sold and H the number of hamburgers.

As the cheeseburger sold are 3/4 of hamburgers, we can represent with the following equation:

C= (3/4)H (equation 1)

The total of burgers sold are the total of cheeseburger plus the total of hamburgers, and the sum 42. The equation representing it is:

C + H = 42

Replacing C by its value of eq. 1:

(3/4)H + H = 42

(3/4)H + (4/4)H = 42

(7/4) H = 42

Dividing both sides by (7/4)

H = 42/(7/4)

H= 42*(4/7)

H= (42/7)*4

H= 6*4

H=24

Then, C is:

C=(3/4)H

C=(3/4)*24

C= 3*24/4

C=72/4

C=18

We can verify it summing C+H

C+H=24+18=42 verified!

6 0
3 years ago
A rectangle has a length of 2 m and a width of 40 cm what is the perimeter of the rectangle ( show your work)
sweet [91]

Answer:

0.05 im pretty sure to my calcutor

Step-by-step explanation:

4 0
3 years ago
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