See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2
Answer:
600 m³
Step-by-step explanation:
Given:
- length of swimming pool = 30 m
- width of swimming pool = 10 m
- depth at deep end = 3 m
- depth at shallow end = 1 m
To find the volume of the water in the pool, find the area of a cross section (see attached image) and multiply it by the width of the pool.
<u>Area of cross section</u>
= area of rectangle - area of triangle
= (3 × 30) - [1/2 × 30 × (3 - 1)]
= 90 - 30
= 60 m²
<u>Volume of pool</u>
= area of cross section × width
= 60 × 10
= 600 m³
Its 36 because 4×9=36 and 12×3 is 36. hope this helps.
If at June 1, 2022, Sheffield Corp. had an Accounts Receivable balance of $ 18,900. During the month, the company had credit sales of $
24,500 and collected Accounts Receivable of $ 28,500. The balance in Accounts Receivable at June 30, 2022 will be: $14,900
Using this formula
2022 Balance in Accounts Receivable=Accounts Receivable balance as on June 1, 2022+ Credit sales -Collected Accounts Receivable
Let plug in the formula
2022 Balance in Accounts Receivable=$18,900+$24,500-$28,500
2022 Balance in Accounts Receivable=$14,900
Inconclusion if at June 1, 2022, Sheffield Corp. had an Accounts Receivable balance of $ 18,900. During the month, the company had credit sales of $
24,500 and collected Accounts Receivable of $ 28,500. The balance in Accounts Receivable at June 30, 2022 will be: $14,900
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