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kodGreya [7K]
3 years ago
7

What is the value of tan60.cot60​

Mathematics
1 answer:
sladkih [1.3K]3 years ago
6 0

Answer:

1

Step-by-step explanation:

\tan \: 60 \degree. \cot \: 60 \degree \\  \\  =   \cancel{\sqrt{3}}  \times  \frac{1}{\cancel{ \sqrt{3} }}  \\  \\  = 1

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The base of a triangle exceeds the height by 7 centimeters. If the area is 400 square centimeters, find the length of the base a
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Answer:

Base = 32 cm

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Step-by-step explanation:

Area of a triangle can be calculated as:

Area = \frac{1}{2}\times Base \times Height

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:

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Lets use B to represent base and H to represent height

B = H + 7

The equation of area can be stated as:

Area=\frac{1}{2}bh\\\\ Area=\frac{1}{2}(h+7)(h)\\\\ 400=\frac{1}{2}h(h+7)\\\\ 800=h^{2}+7h\\\\ h^{2}+7h-800=0

This is a quadratic equation which can be solved using a quadratic equation as shown below:

h=\frac{-7+-\sqrt{49-4(1)(-800)} }{2(1)} \\\\ h=\frac{-7+-57}{2}\\\\h=-32,25

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.

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