Surface area of the pyramid= 4*(area of the triangle) + area of the square
Area of the triangle = (1/2)*base*height=(1/2)*5*5= 25/2 in²
Area of the square = 5*5 =25 in²
Surface area of the pyramid = 4*(25/2) + 25=2*25 + 25=75 in²
The cost of spices in US dollars is $5.45
The cost of spices in Indian rupees = 401.39 rupees
The exchange rate is
1 dollar:73.6500 rupees
So we have to exchange the Indian rupees to the US dollars
The cost of spices in Indian rupees = 401.39 rupees
The cost of spices in US dollars = The cost of spices in Indian rupees / 73.6500
Substitute the values in the equation and fins the cost of spices in US dollars
The cost of spices in US dollars = 401.39 / 73.6500
Divide the numbers
= $5.45
Hence, the cost of spices in US dollars is $5.45
Learn more about exchange rate here
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The answer is <span>D. x=y-z-9/7</span>
Solving a system of equations, we can see that:
- Speed of the private jet: 168 mi/h
- Speed of the commercial jet: 192mi/h
<h3>How to find the speeds of each jet?</h3>
Let's define the variables:
- P = speed of the private jet.
- C = speed of the commercial jet.
With the given information, we can write:
P*8h = D
C*7h = D
C = 2*P - 144mi/h
So we have a system of 3 equations, where D is the distance in the problem.
With the first and second equations we can write:
P*8h = D = C*7h
Isolating P, we get:
P = C*(7/8)
Now we can replace that in the last equation:
C = 2*P - 144mi/h
C = 2*C*(7/8) - 144mi/h
And now we can solve that for C.
C - 2*(7/8)*C = - 144mi/h
C*(1 - 14/8) = -144mi/h
C*(8/8 - 14/8) = - 144mi/h
C*(6/8) = 144mi/h
C = (8/6)*144mi/h = 192mi/h
Now that we know the speed of the commercial jet, we can find the speed of the private jet.
P = C*(7/8) = 192mi/h*(7/8) = 168 mi/h
If you want to learn more about systems of equations:
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Answer:
<em><u>let </u></em><em><u>the </u></em><em><u>ratio</u></em><em><u> be</u></em><em><u> in</u></em><em><u> </u></em><em><u>x </u></em>
<em><u>a/</u></em><em><u>q</u></em><em><u>. </u></em><em><u>3</u></em><em><u>x</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>2</u></em><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em>
<em><u> </u></em><em><u> </u></em><em><u>5</u></em><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em>
<em><u>x </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>/</u></em><em><u>5</u></em>
<em><u>x=</u></em><em><u> </u></em><em><u>6</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em>
<em><u>Leona </u></em><em><u>=</u></em><em><u> </u></em><em><u>6</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>*</u></em><em><u>3</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>8</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em>
<em><u>Janet </u></em><em><u>=</u></em><em><u> </u></em><em><u>6</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>*</u></em><em><u>2</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>2</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em>
<em><u>hope</u></em><em><u> it</u></em><em><u> helps</u></em>