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1 year ago

Help me on this one for 10 points

Mathematics

2 answers:

Eduardwww [97]1 year ago

7 0

Answer:

m ACG=17
x=24

Explanation:

nekit [7.7K]1 year ago

6 0

Answer:

m ACG = 17

x = 24

Step-by-step explanation:

$1)\ m\ ACG = x - 7 = 90 - 73 = 17$

$2)\ x - 7 = 17 => x = 17 + 7 = 24$

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Month 1: 93 in

Elodia [21]

Answer:

9.5 inches per month

Step-by-step explanation:

Given the information about the depth of the pond:

Month 1: 93 in

Month 2: 98 in

Month 3: 112 in

From month 1 to month 3, the average rate of change of the depth of the pond, in inches per month can be calculated using formula

$\dfrac{\text{Depth}_3-\text{Depth}_1}{3-1}$

Hence, from month 1 to month 3, what is the average rate of change of the depth of the pond, in inches per month is

$\dfrac{112-93}{3-1}=\dfrac{19}{2}=9.5\ in/month$

4 0

2 years ago

Write the expanded form of the expression y(0.25 +6)

Murrr4er [49]

Answer:

free points for a easy question. You do 0.25+6 in expanded form

Step-by-step explanation:

8 0

2 years ago

How fast in miles per an hour is a bus going if it travels 36 miles in 45 minutes?

MrRa [10]

Let's factor this down

36 miles in 45 minutes

It is also 12 miles in 15 minutes.

Then it can be 48 miles in an hour

Thus the answer is 48 MPH

7 0

2 years ago

Simplify please quick: 3x4=12-6

den301095 [7]

Answer:

Step-by-step explanation:

3 * 4 = 12 - 6

12 = 6

This statement is false

3 0

1 year ago

Read 2 more answers

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

2 years ago