Answer:
The surface area of the rectangular prism is 748 ft2.
Step-by-step explanation:
formula for surface area: A=2(wl+hl+hw)
A=2(wl+hl+hw)=2(5x16+14x16+14x5)=748
<em>Answer:</em>
a = 7 & a = −7
<em>Explanation:</em>
Rewrite the equation as
(x+a)(x−a)=x^2−49
Simplify (x+a)(x−a)
x^2−a^2=x^2−49
Move all terms not containing a to the right side of the equation.
−a^2=−49
Multiply each term in −a^2=−49 by −1
a^2=49
Take the square root of both sides of the equation to eliminate the exponent on the left side.
a=±√49
The complete solution is the result of both the positive and negative portions of the solution.
a=7,−7
I am extremely confused on what you need done here so if you can explain it feel better then I’d be glad to help you.
Answer:
Where
and
We want to find the Annie's score takign in count that the score is 3 deviations below the mean, so then we can find the value with this formula:
![X = \mu -3\sigma](https://tex.z-dn.net/?f=%20X%20%3D%20%5Cmu%20-3%5Csigma)
And replacing we got:
![X = 99 -3*4 = 87](https://tex.z-dn.net/?f=%20X%20%3D%2099%20-3%2A4%20%3D%2087)
So then the Annie's score would be 87
Step-by-step explanation:
Let X the random variable that represent the test scores of a population, and for this case we know the distribution for X is given by:
Where
and
We want to find the Annie's score takign in count that the score is 3 deviations below the mean, so then we can find the value with this formula:
![X = \mu -3\sigma](https://tex.z-dn.net/?f=%20X%20%3D%20%5Cmu%20-3%5Csigma)
And replacing we got:
![X = 99 -3*4 = 87](https://tex.z-dn.net/?f=%20X%20%3D%2099%20-3%2A4%20%3D%2087)
So then the Annie's score would be 87
cosθ = cotθ/cscθ is a true statement. The answer is option B
<h3>How to determine which of the trigonometric statements are true?</h3>
Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles
A. tan²θ = 1 - sec²θ
tan²θ = 1 - sec²θ
tan²θ = 1 - 1/cos²θ (Note: sec²θ = 1/cos²θ)
tan²θ = (cos²θ- 1)/cos²θ
tan²θ = -sin²θ/cos²θ (Note: cos²θ- 1 = -sin²θ)
tan²θ = -tan²θ
This statement is not true
B. cosθ = cotθ/cscθ
cosθ = cotθ/cscθ
cosθ = (1/tanθ) / (1/sinθ)
cosθ = (cosθ/sinθ).sinθ
cosθ = cosθ
This statement is true
C. 1/sec²θ = sin²θ + 1
1/sec²θ = 1/(1/cos²θ)
1/sec²θ = cos²θ
1/sec²θ = 1 - sin²θ
This statement is not true
D. sec²θ - 1 = 1/cot²θ
sec²θ - 1 = 1/cos²θ - 1
sec²θ - 1 = (1-cos²θ)/cos²θ
sec²θ - 1 = sin²θ/cos²θ
sec²θ - 1 = tan²θ
This statement is not true
E. sinθ cscθ = tan θ
sinθ cscθ = tan θ
sinθ cscθ = sinθ (1/sinθ)
sinθ cscθ = 1
This statement is not true
Therefore, the true statement is cosθ = cotθ/cscθ
Learn more about Trigonometry on:
brainly.com/question/29529966
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