Can someone please help me with math.
1 answer:
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Answer:
To find the surface area of this pyramid, we must find the <u>area</u> of one <u>triangle</u> flap which we then <u>multiply by 4</u> because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the <u>base(square)'s area</u>. Next, we add all those areas together to get the result of the surface area.
Formula for area of triangle;
A = BH x 1/2
Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.
Plug in what you know, given that the base of one triangle is 4, and the height is 6.
A = 4(6) x 1/2
A = 24 x 1/2
A = 24/2
A = 12, the area of <em>one triangle is 12 inches</em>.
Now, we find the area of all the triangles by multiplying the area of one triangle by 4.
12 = Area of triangle
4 triangles in total, so:
12(4)
= <u>48 inches</u> is the <u>area</u> of <u>all the triangles</u>.
Now we find the area of the base(square) using the formula;
(vol of square formula)
A =
Where 's' represents one side of the square which is being squared.
or
A = l · w
Where 'l' represents the length and 'w' represents the width.
Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).
(I'll be using the formula )
A =
A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)
A = 16, the <u>area</u> of the <u>base(square)</u> is <u>16 inches</u>.
Now we add both areas together:-
48 + 16
= <u>64 inches^2</u> is the surface area, your answer is A.
Answer:
We cannot say that the mean wake time are different before and after the treatment, with 98% certainty. So the zopiclone doesn't appear to be effective.
Step-by-step explanation:
The goal of this analysis is to determine if the mean wake time before the treatment is statistically significant. The question informed us the mean wake time before and after the treatment, the number of subjects and the standard deviation of the sample after treatment. So using the formula, we can calculate the confidence interval as following:
Knowing that :
Note that so we cannot say, with 98% confidence, that the mean wake time before treatment is different than the mean wake time after treatment. So the zopiclone doesn't appear to be effective.
<u>Given</u>:
The given circle with center at C. The lines AB and AD are tangents to the circle C.
The length of AB is (3x + 10)
The length of AD is (7x - 6)
We need to determine the value of x.
<u>Value of x:</u>
Since, we know the property of tangent that, "if two tangents from the same exterior point are tangent to a circle, then they are congruent".
We shall determine the value of x using the above property.
Thus, we have;
AB = AD
Substituting the values, we get;
Subtracting both sides of the equation by 7x, we get;
Subtracting both sides of the equation by 10, we get;
Dividing both sides of the equation by -4, we get;
Thus, the value of x is 4.