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olasank [31]
3 years ago
5

Pls help me !!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
Vikentia [17]3 years ago
8 0

Answer:

9.89 m

Step-by-step explanation:

AC is the hypotenuse (H)

x is the opposite (O)

O and H are in sine

sin=O/H

H=O/sin

H=7.9/sin(53)

=9.89187169943418

3 SF

9.89 m

kobusy [5.1K]3 years ago
7 0

Answer:

AC= 13.144

Step-by-step explanation:

cos ∅ =  Adjacent/ Hypotenuse

cos (53°) = x/AC

cos (53°) = 7.9/AC

(0.601).(AC)=7.9

AC=(7.9)/(0.601)

AC=  13.144 (3 S.F)

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<span>Width = 6 Length = 30 We know the perimeter of a rectangle is simply twice the sum of it's length and width. So we have the expression: 72 = 2*(L + W) And since we also know for this rectangle that it's length is 6 more than 4 times it's width, we have this equation as well: L = 6 + 4*W So let's determine what the dimensions are. Since we have a nice equation that expresses length in terms of width, let's substitute that equation into the equation we have for the perimeter and solve. So: 72 = 2*(L + W) 72 = 2*(6 + 4*W + W) 72 = 2*(6 + 5*W) 72 = 12 + 10*W 60 = 10*W 6 = W So we now know that the width is 6. And since we have an expression telling us the length when given the width, we can easily determine the length. So: L = 6 + 4*W L = 6 + 4*6 L = 6 + 24 L = 30 And now we know the length as well.</span>
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3 years ago
Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles
OverLord2011 [107]

Answer:

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Step-by-step explanation:

Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.

So we can use growth formula:

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Then we get equation for motorcycles and cars as:

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3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

\frac{\left(1.25\right)^t}{\left(1.16\right)^t}>\frac{5.75}{3.5}

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t\cdot\ln\left(\frac{1.25}{1.16}\right)>\ln\left(1.64285714286\right)

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Hence final answer is approx 6.644 years.

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