Han and Priya want to know the mean height of the 30 students in their dance class. • The mean height for Han’s sample is 59 inc
1 answer:
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She invested.. .say "a" amount on the 4% and "b" amount on the 5% one
now, she lost the 4% one or "a", so... that'd be a negative amount
now, we know both investments added together add up to 9000
and we also know the "net" receipts for the yield was 351, that simply means that whatever "b" and "a" yielded, ended up as 351
so.. what's 4% of a? well (4/100) * a or 0.04a
what's 5% of b? well (5/100) * b or 0.05b
since "a" was a loss(negative), then we know the net yield is => b - a = 351
thus
solve for "b", to see how much was invested at 5%
what about a? well, a = 9000 - b
now, she lost the 4% one or "a", so... that'd be a negative amount
now, we know both investments added together add up to 9000
and we also know the "net" receipts for the yield was 351, that simply means that whatever "b" and "a" yielded, ended up as 351
so.. what's 4% of a? well (4/100) * a or 0.04a
what's 5% of b? well (5/100) * b or 0.05b
since "a" was a loss(negative), then we know the net yield is => b - a = 351
thus
solve for "b", to see how much was invested at 5%
what about a? well, a = 9000 - b
Answer:
Area = 29284.87 ft²
Step-by-step explanation:
I've drawn a triangle to depict the movement of the dog with the angle and dimensions.
From the attached triangle, we see that the starting point is C, the first point is A and the second point is B.
Let's find the third side from the image using law of cosine.
Thus;
b² = a² + c² - 2ac cos B
Thus;
b² = 180² + 329² - 2(180 × 329)cos 81.5
b² = 32400 + 108241 - 17506.55
b² = 123134.45
b = √123134.45
b = 350.91 ft
We calculate the area of the triangle using heron's formula.
Area = √(p(p − a)(p − b)(p − c))
Where p = (a + b + c)/2 = (180 + 350.91 + 329)/2 = 429.955 ft
Area = √(429.955(429.955 - 180)(429.955 - 350.91)(429.955 - 329)
Area = 29284.886 ft²
To the nearest Hundredth gives;
Area = 29284.87 ft²
