Step-by-step explanation:
<h2>Length of x is 98.2 m</h2><h2 /><h2>Step-by-step explanation:</h2><h2 /><h2>Step 1:</h2><h2 /><h2>Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.</h2><h2 /><h2>tan 27° = opposite side/adjacent side =</h2><h2 /><h2>opposite side/9</h2><h2 /><h2>Opposite side = 9 tan 27° 9 x 3.27 =</h2><h2 /><h2>-29.46 m</h2><h2 /><h2>Step 2:</h2><h2 /><h2>Use this side and trigonometric ratio cosine to find the value of x.</h2><h2 /><h2>cos 49° = adjacent side/x = -29.46/x</h2><h2 /><h2>x = -29.46/cos 49° -29.46/0.30</h2><h2 /><h2>= 98.2 m (negative value neglected)</h2><h2 /><h2>
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The first bullet is the answer
Answer:
(-2, 4)
Step-by-step explanation:
Hopes this helps!
A) 5 to be chosen among a Total : 10 Men + 8 Women
¹⁸C₅ = (18!)/(5!)(13!) = 8,568 groups of five
b) A must to have men and women. If so we have to deduct all groups of 5 that are all men and all group of 5 that are all women
Groups of 5 with only men: ¹⁰C₅ = 252
Groups of 5 with only women: ⁸C₅ = 56
So number of committees of 5 men and women mixed =
8568 - 252 - 56 = 8,260 committees
c) 3 Women and 2 Men:
⁸C₃ x ¹⁰C₂ = 2,520 groups of 3 W and 2 M
d) More women than men, it means:
3 W + 2 M OR (we have found it in c) = 2,520)
4 W + 1 M OR ⁸C₄ x ¹⁰C₁ →→→→ = 700
5 W + 0 M OR ⁸C₅ x ¹⁰C₀ →→→→ = 56
Total where W>M = 3,276 groups of 5 where women are at least 3
A box has 4 sides, two short sides which are width by height and two long sides which is length by height.
A) Surface area = 2(LxH) + 2(WxH)
Surface area = 2(10x4) +2(6x4)
Surface area = 2(40) +2(24)
Surface area = 80 + 48
Surface area = 128 square inches for each box.
128 square inches x 100 boxes = 12,800 square inches.
B) 1 can covers 14,000 square inches which is greater then the total of the 100 boxes, so she will need to buy 1 can of paint.
