<span>W=x
L=2x+1
Area=(2x+1)x=28
2x</span>²<span>+x=28
2x</span>²<span>+x-28=0
(2x-7)(x+4)=0
x=3.5, -4. (3.5 makes more sense)
2x+1=8
area = 28 ft</span>²<span>
width = 3.5 feet | length = 8 feet.</span>
Answer:
m =40
Step-by-step explanation:
m/4 -3 = 7
Add 3 to each side
m/4 -3+3 = 7+3
m/4 = 10
Multiply each side by 4
m/4 *4 = 10*4
m = 40
Answer:
true
Step-by-step explanation:
For the cosecant we will get:
![csc(\pm \frac{pi}{4}) = \frac{1}{sin(\pm \frac{pi}{4})} = \pm \frac{2}{\sqrt{2} } = \pm \sqrt{2}](https://tex.z-dn.net/?f=csc%28%5Cpm%20%5Cfrac%7Bpi%7D%7B4%7D%29%20%3D%20%5Cfrac%7B1%7D%7Bsin%28%5Cpm%20%5Cfrac%7Bpi%7D%7B4%7D%29%7D%20%3D%20%5Cpm%20%5Cfrac%7B2%7D%7B%5Csqrt%7B2%7D%20%7D%20%3D%20%5Cpm%20%5Csqrt%7B2%7D)
So the correct option is the third one.
<h3>Which of the following choices is the value of cscθ given that cosθ= √2/2?</h3>
First, we can write:
![csc(x) = \frac{1}{sin(x)}](https://tex.z-dn.net/?f=csc%28x%29%20%3D%20%5Cfrac%7B1%7D%7Bsin%28x%29%7D)
Now, remember that:
![cos(x) = \frac{\sqrt{2} }{2} \\\\for\ x = \pm \frac{pi}{4}](https://tex.z-dn.net/?f=cos%28x%29%20%3D%20%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D%20%5C%5C%5C%5Cfor%5C%20x%20%3D%20%5Cpm%20%5Cfrac%7Bpi%7D%7B4%7D)
And for the sine we have:
![sin(pi/4) = \frac{\sqrt{2} }{2} \\\\sin(-pi/4) = -\frac{\sqrt{2} }{2} \\](https://tex.z-dn.net/?f=sin%28pi%2F4%29%20%3D%20%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D%20%5C%5C%5C%5Csin%28-pi%2F4%29%20%3D%20-%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D%20%5C%5C)
Then the cosecant for these possible values of x gives:
![csc(\pm \frac{pi}{4}) = \frac{1}{sin(\pm \frac{pi}{4})} = \pm \frac{2}{\sqrt{2} } = \pm \sqrt{2}](https://tex.z-dn.net/?f=csc%28%5Cpm%20%5Cfrac%7Bpi%7D%7B4%7D%29%20%3D%20%5Cfrac%7B1%7D%7Bsin%28%5Cpm%20%5Cfrac%7Bpi%7D%7B4%7D%29%7D%20%3D%20%5Cpm%20%5Cfrac%7B2%7D%7B%5Csqrt%7B2%7D%20%7D%20%3D%20%5Cpm%20%5Csqrt%7B2%7D)
So the correct option is the third one.
If you want to learn more about trigonometric functions:
brainly.com/question/7331447
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