3 years ago

16. 15 ft 23 ft 10 ft

1 answer:

6 0

Split the trapezoid into a 8.5 by 15 rectangle and a 8 by 8.5 by 10 triangle by dropping a line at the end of the triangular part. It'll be easy to calculate the area from there

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ivanzaharov [21]

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Step-by-step explanation:

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3 years ago

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Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 5t3dxdt+2x−2=05t3dx

uranmaximum [27]

Given the differential equation

$5t^3 \frac{dx}{dt} +2x-2=0$

The solution is as follows:

$5t^3 \frac{dx}{dt} +2x-2=0 \\ \\ \Rightarrow5t^3 \frac{dx}{dt} =2-2x \\ \\ \Rightarrow \frac{5}{2-2x} dx= \frac{1}{t^3} dt \\ \\ \Rightarrow \int {\frac{5}{2-2x} } \, dx = \int {\frac{1}{t^3}} \, dt \\ \\ \Rightarrow- \frac{5}{2} \ln(2-2x)=- \frac{1}{2t^2} +A \\ \\ \Rightarrow\ln(2-2x)= \frac{1}{5t^2} +B\\ \\ \Rightarrow2-2x=Ce^{\frac{1}{5t^2}} \\ \\ \Rightarrow 2x=Ce^{\frac{1}{5t^2}}+2 \\ \\ \Rightarrow x=De^{\frac{1}{5t^2}}+1$

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3 years ago

What is the selling price of a $12,543 boat if a $758 discount is given?

Lelu [443]

Given:
Selling Price: 12,543
Discount: 758

We simply deduct the discount from the original price to get the discounted selling price.

12,543 - 758 = 11,785

The new selling price of the boat is $11,785.

Discount of $758 is 6% of the Original selling price.
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3 years ago

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Karolina [17]

Answer:

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Step-by-step explanation:

=-7/3 *21/8

=147/24

=-6 3/24

=-6 1/8

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