Answer:
43.75 miles
Step-by-step explanation:
You divide the 35 by 4 and then just add it to the original distance of 35 miles. 35/4=8.75
8.75+35=43.75
Answers:
Length = 13 inches
Width = 11 inches
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Work Shown:
w = width, some positive number
w+2 = length, since it is 2 inches more than the width
P = perimeter of the rectangle
P = 2(width + length)
P = 2(w + w+2)
P = 2(2w+2)
P = 4w+4
We're told that the perimeter is 48 inches. So we'll set the previous result equal to 48 and solve for w.
P = 48
4w+4 = 48
4w = 48-4
4w = 44
w = 44/4
w = 11
The width is 11 inches.
w+2 = 11+2 = 13
The length is 13 inches.
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Checking the answers:
P = 2(L+W)
P = 2(13+11)
P = 2(24)
P = 48
The answers are confirmed.
Answer:
The third answeer
Step-by-step explanation:
Also nice talk
Answer: Choice C
x/w and z/(y+v)
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Explanation:
All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.
Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).
So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w
x/w is one of the answers
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Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z
Therefore,
sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)
z/(y+v) is the other answer
Side note: triangle ACD is not used at all.
Answer:
(2,6)
Step-by-step explanation:
The solution to a linear system is the point of intersection. In this case, the point of intersection is (2,6) which means (2,6) is the solution to the linear system.