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qaws [65]
3 years ago
14

Oh lord help q-q I have like no time left-

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

Answer:

(Triangular pyramid)

Lateral area = 1650m^{2}

Total surface area = 1860.1m^{2}

(Triangular prism)

Volume = 660cm^{3}

Step-by-step explanation:

<u> For the triangular pyramid</u>

Area of triangle = \frac{1}{2} × base × height

Area of the base = \frac{1}{2} × 22 × 19.1 = 210.1

Area of the sides = \frac{1}{2} × 22 × 50 = 550

Number of sides (excluding base) = 3

∴ Total Area = 210.1 + (550 × 3)

= 210.1 + 1650 = 1860.1m^{2}

Lateral Area = (550 × 3)  = 1650m^{2}

<u>For the triangular prism</u>

Area of the triangle = \frac{1}{2} × 12 × 5 = 30

Volume = Area x Height

Volume = 30 ×  22 = 660cm^{3}

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3 years ago
Find the equation of the line that passes through point A (1,7) and B (-3, -1)
amid [387]

Answer:

The equation of the line is 2 x - y + 5 = 0.

Step-by-step explanation:

Here the given points are A( 1, 7) & B( -3, - 1) -

Equation of a line whose points are given such that

( x_{1}, y_{1} ) & ( x_{2}, y_{2} )-

 y - y_{1}  = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }   ( x - x_{1}  )

i.e. <em> y - 7= \frac{- 1 - 7}{ -3-1}  ( x- 1)</em>

<em>       y - 7 =  \frac{- 8}{- 4} ( x -1)</em>

<em>       y - 7 =  2 ( x - 1) </em>

<em>       y - 7  =   2  x - 2</em>

<em>       2 x - y + 5 = 0</em>

Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1)  is 2 x - y  + 5 = 0.

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Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.
goblinko [34]

15444 ways we can choose 5 objects, without replacement, from 15 distinct objects.

Given that, suppose we want to choose 5 objects, without replacement, from 15 distinct objects.

<h3>What is a permutation?</h3>

A permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.

Now, 13P_{5}= 13!/(13-5)!

= 13!/8! = 13x12x11x10x9= 1287 x 120 = 15,444

Therefore, 15444 ways we can choose 5 objects, without replacement, from 15 distinct objects.

To learn more about the permutation visit:

brainly.com/question/1216161.

#SPJ1

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Answer:

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Step-by-step explanation:

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