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Viktor [21]
3 years ago
7

A student is building a diamond-shaped kite in his science class. To construct the kite, the student has assembled four congruen

t right triangle pieces of fabric to form the diamond. The diagonals of the kite are perpendicular to one another. If angle ABC on the side of the kite is 2004-02-02-01-00_files/i0310000.jpg, what will angle BCD on the tail end of the kite be? 

Mathematics
1 answer:
Ahat [919]3 years ago
3 0
Δ CBE is a right triangle.
∠EBC = 1/2 ∠ ABC = 1/2 · 116° = 58°
∠EBC + ∠ECB = 90°
∠ECB = 90° - 58° = 32°
∠DCB = 2 · 32° = 64°
Answer: c ) 64
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A = 135°
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Represent <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%207%7D%7B5%7D%20" id="TexFormula1" title=" \frac{ - 7}{5} " al
Ilya [14]

Given:

The number is -\dfrac{7}{5}.

To find:

The location of the given number of the number line.

Solution:

We have,

Number=-\dfrac{7}{5}

It can be written as

Number=-\dfrac{5+2}{5}

Number=-\dfrac{5}{5}-\dfrac{2}{5}

Number=-1-\dfrac{2}{5}

It means the number is less than -1 but more than -2. So, the number lies between -2 and -1.

The mixed fraction form of given number is

Number=-(1+\dfrac{2}{5})

Number=-(1\dfrac{2}{5})

Number=-1\dfrac{2}{5}

Divide the number in 5 equal parts between two consecutive integers.

Now each unit represents \dfrac{1}{5}.

Since Number=-1-\dfrac{2}{5}, therefore, it is 2 units left from -1.

The number line is given below.

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A hollow metallic cylinder is made from a metallic sheet of 2.4 cm thickness. The inner
butalik [34]

Answer:

The volume of the metal used is 5277.9 cm³.

Step-by-step explanation:

The volume of a cylinder is given by:

V = \pi r^{2} h

Where:

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The volume of metal (V_{m}) can be found by subtracting the internal volume (V_{i}) from the external volume (V_{e}):

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V_{m} = \pi r_{e}^{2} h - \pi r_{i}^{2} h    

The external radius is given by the sum of the internal radius with the tickness:

r_{e} = t + r_{i}

Hence, the volume is:

V_{m} = \pi*50 cm((2.4 cm + 5.8 cm)^{2} - (5.8 cm)^{2}) = 5277.9 cm^{3}

           

Therefore, the volume of the metal used is 5277.9 cm³.

I hope it helps you!                                                      

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The slope of the line that passes through the points 5,10 and 2,12 is
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slope is -2/3

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