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3 years ago

Can anyone help me with this question

Mathematics

1 answer:

Alenkinab [10]3 years ago

4 0

Answer:

50%

Step-by-step explanation:

If angle f is 50 degrees and cuts it to 75 degrees

Find the difference between the two numbers

75-50 = 25

Divide by the correct value

25/50 = 1/2

Change to percent form

50%

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#7 I don't know how to solve this

____ [38]

30+1.95x=7.95x

so, 6x=30

x=5

3 0

3 years ago

What is the inverse of this function?

kolbaska11 [484]

Answer:

$f^{-1}(x)=4x^2-3$

Step-by-step explanation:

<u>The Inverse of a Function</u>

Given a function f(x), the inverse of f, called $f^{-1}(x)$ is a function that satisfies:

$f(f^{-1}(x))=x$

The domain of f becomes the range of its inverse and vice-versa.

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

* Solve the equation for x.

* Swap the variables

We are given the function:

$\displaystyle f(x)=-\frac{1}{2}\sqrt{x+3}$

Defined in the interval x ≥ -3

Note f is always negative, thus its range is f(x) ≤ 0

Now we find the inverse. Call y=f(x):

$\displaystyle y=-\frac{1}{2}\sqrt{x+3}$

Multiplying by 2:

$\displaystyle 2y=-\sqrt{x+3}$

Squaring both sides:

$\displaystyle 4y^2=x+3$

Subtracting 3:

$\displaystyle 4y^2-3=x$

Swapping variables:

$y=4x^2-3$

Thus:

$\mathbf{f^{-1}(x)=4x^2-3}$

The domain of the inverse is the range of f, thus x is restricted to

x ≤ 0

5 0

3 years ago

NEED HELP ASAP

3241004551 [841]

Answer:

Option C. $1,206\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the solid Eva created is equal to the volume of the triangular prism minus the volume of the rectangular prism notch

step 1

<em>Find the volume of the triangular prism</em>

The volume is equal to

$V=Bh$

where

B is the area of the triangular base

h is the height of the triangular prism

substitute

$V=\frac{1}{2}(12)(12)(18)=1,296\ cm^{3}$

step 2

Find the volume of the rectangular prism notch

The volume is equal to

$V=(5)(1)(18)=90\ cm^{3}$

step 3

Find the volume of the solid Eva created

$1,296\ cm^{3}-90\ cm^{3}=1,206\ cm^{3}$

8 0

4 years ago

One acute angle angle of a right triangle is 5 times greater than the other. Find the acute angles of the triangle

Evgen [1.6K]

Let acute angle be x.So x+5x+90=180 so x=30

6 0

3 years ago

If a person stands 40 ft from a tree and the angle of elevation made from their eyes (5 ft above the ground) to the top of the t

goldenfox [79]

Using the given information, the height of the tree is 48 ft

<h3>Trigonometry </h3>

From the question, we are to determine the height of the tree

In the given diagram, the height of the tree is (x + 5) feet

First, we will determine the value of x

tan 47° = x / 40

x = 40 × tan47°

x = 42.89 ft

∴ The height of the tree = (42.89 + 5) ft

Height of the tree = 47.89 ft

Height of the tree ≈ 48 ft

Hence, the height of the tree is 48 ft.

Learn more on Trigonometry here: brainly.com/question/15821537

#SPJ1

8 0

2 years ago