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mafiozo [28]
3 years ago
10

Shown here is a triangular striped sail, together with some of its dimensions. In the diagram, segments BJ, CI, and DH are all p

aralell to segment EG. Find each of the following.
1. AJ
2. CD
3.HG
4. GF
5. the perimeter of triangle AEF
6. the area of triangle AEF
7. the number of sails you could make for $10,000 if the sail costs $30 per square yard

Mathematics
1 answer:
LuckyWell [14K]3 years ago
4 0
Here, Just apply Proportionality Theorem at correct time, with correct proportions, It tells, the ratio of two corresponding arms always equal.

So, 1) AB/BC = AJ/JI
2.5/2.25 = AJ/1.8
AJ = 2.5* 1.8 / 2.25
AJ = 2

2) BC/CD = JI / IH
2.25/CD = 1.8/1.2
CD = 2.25 * 1.2 / 1.8
CD = 1.5

3) CD/DE = IH/HG
1.5/3.5 = 1.2 / HG
HG = 1.2 * 3.5 / 1.5
HG = 2.8

4) For GF, we should use "Pythagoras Theorem"
h² = a² + b²
GF² = 6.5² - 6²
GF² = 42.25 - 36
GF = √6.25
GF = 2.5

5) Perimeter = 2.5 + 2.25 + 1.5 + 3.5 + 6.5 + 2.5 + 2.8 + 1.2 + 1.8 + 2
P = 26.55

6) Area = 1/2 * b * h
A = 1/2 * 9.65 * 10.3
A = 49.70

Hope this helps!
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The functions are illustrations of composite functions.

<em>The soil temperature at 2:00pm is 67</em>

The given parameters are:

\mathbf{I(h) =\frac{12h - h^2}{36}} ---- the function for sun intensity

\mathbf{T(I) =\sqrt{5000I}} -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

\mathbf{h = 2:00pm - 6:00am}

\mathbf{h = 8}

Substitute 8 for h in \mathbf{I(h) =\frac{12h - h^2}{36}}, to calculate the sun intensity

\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}

\mathbf{I(8) =\frac{32}{36}}

\mathbf{I(8) =\frac{8}{9}}

Substitute 8/9 for I in \mathbf{T(I) =\sqrt{5000I}}, to calculate the temperature of the soil

\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}

\mathbf{T(8/9) =\sqrt{4444.44}}

\mathbf{T(8/9) =66.67}

Approximate

\mathbf{T(8/9) =67}

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

brainly.com/question/20379727

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Answer:

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