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Lynna [10]
3 years ago
10

What is the surface area?

Mathematics
1 answer:
dlinn [17]3 years ago
4 0

Answer:

6,656 square meters

Step-by-step explanation:

Surface area of triangular pyramid = bh + L(S1 + S2 + S3)

Where,

b = 48 m

h = 32 m

L = 40 m

S1 = 40 m

S2 = 40 m

S3 = 48 m

Plug in the values

Surface area = 48*32 + 40(40 + 40 + 48)

= 1,536 + 5,120

= 6,656 m²

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144\pi

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\pi(r^{2} )

\pi(12^{2} )

144\pi

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Serena has an art easel with sides of equal lengths.She opened the easel and placed it on her desk.Classify the type of triangle
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If (3-4i) (x+yi) = 1 + 0i. The value of x and y is
Black_prince [1.1K]

Step-by-step explanation:

\textsf{\large{\underline{Solution}:}}

<h3><u>Given That:</u></h3>

\rm: \longmapsto (3 - 4i)(x + iy) = 1 + 0i

\rm: \longmapsto 3(x + iy)  - 4i(x + iy)= 1 + 0i

\rm: \longmapsto 3x + 3iy - 4ix +4y= 1 + 0i

<u>On rearranging the terms, we get:</u>

\rm: \longmapsto (3x  + 4y)+ (3y - 4x)i =  1 + 0i

<u>Comparing both sides, we get:</u>

\rm: \longmapsto 3x  + 4y = 1 --- (i)

\rm: \longmapsto 3y - 4x = 0 --- (ii)

<u>Multiplying (i) by 4, we get:</u>

\rm: \longmapsto 12x  + 16y = 4--- (iii)

<u>Multiplying (ii) by 3, we get:</u>

\rm: \longmapsto 9y - 12x = 0 --- (iv)

<u>Adding equations (iii) and (iv), we get:</u>

\rm: \longmapsto25y = 4

\rm: \longmapsto y =\dfrac{4}{25}

<u>From (ii), we get:</u>

\rm: \longmapsto 3y - 4x = 0

\rm: \longmapsto 3y  = 4x

\rm: \longmapsto x =  \dfrac{3}{4} y

\rm: \longmapsto x =  \dfrac{3}{4}  \times  \dfrac{4}{25}

\rm: \longmapsto x =  \dfrac{3}{25}

<u>Therefore:</u>

\rm: \longmapsto (x,y)= \bigg(  \dfrac{3}{25}, \dfrac{4}{25} \bigg)

★ <u>Which is our required answer.</u>

\textsf{\large{\underline{More To Know}:}}

\rm1.\  i^{4n} = 1

\rm2. \ i^{4n+1} = i

\rm3.\  i^{4n+2} = -1

\rm4.\ i^{4n+3} = -i

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Find the sum. white your answer as a mixed number?
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11/7 = 1 4/7
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