Given the triangle below, what is m triangleA, rounded to the nearest tenth?
2 answers:
Answer:
The correct answer is option A 17.8°
Step-by-step explanation:
From the figure attached with this answer,
We can see a perpendicular from B to side AC
<u>To find BD</u>
In triangle BDC, its angles are 30°, 60° and 90°
Therefore the sides are in the ratio 1 :√3 : 2
Here BC = 11
BD : DC : BC = 1 :√3 : 2 = 11√3/2 : 11/2 : 11
Therefore BD = 11/2
<u>To find the value of m<A</u>
We have
Sin ∅ = Opposite side /Hypotenuse
AB = 18 and BD = 11/2
Sin A = BD/AB =(11/2)/18 = 11/36 = 0.3055
m<A = Sin⁻¹(0.3055) = 17.79 ≈ 17.8°
Therefore the correct answer is option A 17.8°
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Answer:
The amount each took home was 20 unit currency.
Step-by-step explanation:
We are given that Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140 apples, went to market and sold all their apples at the same price, and each received the same sum of money.
Formula : ,
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,
,
,
,
On solving :
n = 7, a = 2, b = 3
So,
Based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount :
2×1 + 6×3 = 20
5×1 + 5×3=20
8×1 + 4×3 = 20
11×1 + 3×3 = 20
14×1 + 2×3 = 20
17×1 + 1×3 = 20
20×1 = 20
Therefore, the amount each took home was 20 unit currency.
XY = 17.
Because YW is a perpendicular bisector, we can say that TW and WZ are both equal to 3. It tells us that XZ is 12, so that means that XW must be 12+3 which equals 15.
It also tells us that YW is 8. So we can use the Pythagorean Theorem to find the hypotenuse of Triangle XWY. Thus,
To solve this equation, square and add both of the terms on the right like this:
And then take the square root of both sides. Your final answer should be:
XY = 17.
Because YW is a perpendicular bisector, we can say that TW and WZ are both equal to 3. It tells us that XZ is 12, so that means that XW must be 12+3 which equals 15.
It also tells us that YW is 8. So we can use the Pythagorean Theorem to find the hypotenuse of Triangle XWY. Thus,
To solve this equation, square and add both of the terms on the right like this:
And then take the square root of both sides. Your final answer should be:
XY = 17.