Consider the function f()- cot x. Which of the following are true? Select all that apply.

Answer fast!!!!!!!!!!!

solmaris [256]

B.) is the answer........
.because the object is in axonometry, and the front view will be a square

4 0

3 years ago

Arrange the numbers in the ascending order: 3/4,1/12,9/16,7/24

OLEGan [10]

Ascending means going up
First change into decimals
3/4=0.75
1/12=0.083
9/16=0.5625
7/24=0.291666…..

Start from smallest to largest number
0.291666…..,0.5625,0.75,0.083

Find their fractions
7/24,9/16,3/4,1/12

Answer:7/24,9/16,3/4,1/12

4 0

1 year ago

Solve the equation for all real values of x. cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

Step-by-step explanation:

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)

Alexxandr [17]

Answer:

$\%Percent = 30 \%$

Step-by-step explanation:

Given

$Shaded = 6\ cubes$

$Box = 5\ x\ 4$

Required

Determine the percentage of the shaded cubes

First, we calculate the number of boxes:

$Box = 5\ x\ 4$

Express as multiplication

$Box = 5\ *\ 4$

$Box = 20$

This implies that there are 20 cubes in the box.

The percentage of the shaded cubes is:

$\%Percent = \frac{Shaded}{Box} * 100\%$

$\%Percent = \frac{6}{20} * 100\%$

$\%Percent = \frac{6* 100}{20} \%$

$\%Percent = \frac{600}{20} \%$

$\%Percent = 30 \%$

30% were shaded

5 0

3 years ago

Solve for x I need help on this question

AlexFokin [52]

Answer:

$x\approx7.8$

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

$sin(\theta)=\frac{opposite}{hypotenuse}$

$sin(23^\circ)=\frac{x}{20}$

$20sin(23^\circ)=x$

$x=20sin(23^\circ)$

$x\approx7.8$

Therefore, the length of the opposite side is about 7.8 units

3 0

2 years ago