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Y_Kistochka [10]
11 months ago
7

In right triangle ABC, if angle A is 90 degrees, angle C is 34 degrees, and AC is 71.4, find BC.

Mathematics
1 answer:
AURORKA [14]11 months ago
8 0

We are given that

In right triangle ABC, if angle A is 90 degrees, angle C is 34 degrees, and AC is 71.4, find BC.

Solution

We will first draw a diagram to illustrate the information

Above we want to find x

The method to use is SOHCAH

From the right angle triangle above we have above, we have the adjacent side and we want to find the hypotenus, so we use cosine

i.e

\cos 34=\frac{71.4}{x}

We need to solve for x here

\begin{gathered} x=\frac{71.4}{\cos 34} \\ x=86.12396152 \\ x=86.1\text{ (to the nearest tenth)} \end{gathered}

Thus, |BC| = 86.1 (to the nearest tenth

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Step-by-step explanation:

From figure above, using triangle ratio

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Consider a slice volume Vslice= (755.5y/485)^2∆y; recall density =150lb/ft^3

Force slice = 150*755.5^2.y^2.∆y/485^2

From figure 2 in the attachment work done for elementary sclice

Wslice= 150.755.5^2.y^2.∆y.(485-y)/485^2

= (150*755.5^2*y^2)(485-y)∆y/485

To calculate the total work we integrate from y=0 to y= 485

Ie W=[ integral of 150*755.5^2 *y^2(485-y)dy/485] at y=0 and y= 485

Integrating the above

W= 150*755.5^2/485[485*y^3/3-y^4/4] at y= 0 and y=485

W= 150*755.5^2/485(485*485^3/3-484^4/4)-(485.0^3/3-0^4/4)

Work done 1.69*10^12joules

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Step-by-step explanation:

Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance.

Step 1

We find the Mean of the numbers

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Mean = 9+12+9+14+6/5

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Step 2

We find the sample variance

Formula =

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