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Arisa [49]
3 years ago
14

The diagram shows a right-angled triangle.

Mathematics
1 answer:
Otrada [13]3 years ago
3 0

Answer:

h ≈ 9.9 cm

Step-by-step explanation:

By applying tangent rule for the given angle in the given right triangle,

tan(51°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(51°) = \frac{h}{8}

h = 8 × tan(51°)

h = 9.879

h ≈ 9.9 cm

Therefore, measure of side 'h' is 9.9 cm.

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8 0
3 years ago
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Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant
pychu [463]

Answer:

A=152

K= -Ln(0.5)/14

Step-by-step explanation:

You can obtain two equations with the given information:

T(14 minutes) = 114◦C

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Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

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Applying the following property of exponentials numbers in (II):

e^{a}.e^{b}=e^{a+b}

Therefore e^{-28k} can be written as e^{-14k}.e^{-14k}

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Replacing (I) in the previous equation:

152=190-76e^{-14k}

Solving for k:

Subtracting 190 both sides, dividing by -76:

0.5=e^{-14k}

Applying the base e logarithm both sides:

Ln(0.5)= -14k

Dividing by -14:

k= -Ln(0.5)/14

Replacing k in (I) and solving for A:

Ae^{-14(-Ln(0.5)/14)}=76\\Ae^{Ln(0.5)} =76\\A(0.5)=76

Dividing by 0.5

A=152

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3 years ago
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Step-by-step explanation:

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