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3 years ago

Find xplease help!!

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

7 0

Answer: $9\sqrt{3}$

==========================================================

Explanation:

For any 30-60-90 triangle, the short leg is always half the hypotenuse.

This makes the short leg to be 18/2 = 9 units long.

We then multiply this by $\sqrt{3}$ to get the length of the long leg.

$\text{long leg} = (\text{short leg})*\sqrt{3}\\\text{long leg} =9\sqrt{3}$

Or you could use the pythagorean theorem to solve $x^2+9^2 = 18^2$ and you should get $x = \sqrt{243} = 9\sqrt{3}$

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Find the area of a rectangular garden that has a width of 4x−6 and a length of 2x+4.

vova2212 [387]

Answer:

8x^2+4x-24

Step-by-step explanation:

A=LW

(4x-6)(2x+4)

8x^2-12x+16x-24

8x^2+4x-24

4 0

4 years ago

I need the answers ASAP!!

VLD [36.1K]

Answer:

i’m pretty sure the first one is none of the above, the second is whole i’m pretty sure

Step-by-step explanation:

4 0

4 years ago

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

IceJOKER [234]

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

<u>Step-by-step explanation:</u>

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

Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not repre

Contact [7]

Answer:

1. Median = 10.1

2. A. The median represents the center.

3. D. The mode(s) can't represent the center because it (they) is(are) not a data value.

Step-by-step explanation:

Mean of a sample = sum of the samples/no of the samples

Samples in increasing order:

9.8

9.9

10.1

10.4

10.6

11.1

Mode is the sample with highest frequency.

Median is the middle entry of the data.

Mean = (9.8 + 9.8 + 9.9 + 10.1 + 10.4 + 10.6 + 11.1)/7

= 717/7

= 10.243

Median = 10.1

Mode = 9.8 because it has the highest frequency of 2

6 0

4 years ago

Bob has 5.5 cups of flour. He uses 3.75 cups of flour. How much flour does bob have left?

LiRa [457]

If you would like to know how much flour does Bob have left, you can calculate this using the following steps:

5.5 cups of flour - 3.75 cups of flour = 5.5 - 3.75 = 1.75 cups of flour

Result: Bob has 1.75 cups of flour left.

8 0

3 years ago

Find xplease help!!​

Find xplease help!!