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3 years ago

9

The Transamerica Pyramid in San Francisco is shaped like a square pyramid. It has a slant height of 856.1 feet and each side of

its base is 145 feet. Find the lateral area of the building.

1 answer:

SpyIntel [72]3 years ago

8 0

The Lateral Area Is 282513ft2

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General solutions of sin(x-90)+cos(x+270)=-1<br> {both 90 and 270 are in degrees}

mixer [17]

Answer:

$\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.$

Step-by-step explanation:

Given:

$\sin (x-90^{\circ})+\cos(x+270^{\circ})=-1$

First, note that

$\sin (x-90^{\circ})=-\cos x\\ \\\cos(x+270^{\circ})=\sin x$

So, the equation is

$-\cos x+\sin x= -1$

Multiply this equation by $\frac{\sqrt{2}}{2}:$

$-\dfrac{\sqrt{2}}{2}\cos x+\dfrac{\sqrt{2}}{2}\sin x= -\dfrac{\sqrt{2}}{2}\\ \\\dfrac{\sqrt{2}}{2}\cos x-\dfrac{\sqrt{2}}{2}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos 45^{\circ}\cos x-\sin 45^{\circ}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos (x+45^{\circ})=\dfrac{\sqrt{2}}{2}$

The general solution is

$x+45^{\circ}=\pm \arccos \left(\dfrac{\sqrt{2}}{2}\right)+2\pi k,\ \ k\in Z\\ \\x+\dfrac{\pi }{4}=\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{4}\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.$

4 0

3 years ago

The H.C.F and the LCM of two numbers are 36 and 720 respectively. If one of the numbers is 180, which is the other number. *

lutik1710 [3]

Answer:

let p(x)=180

LCM=720

HCF=36

WE HAVE TO FIND q(x)=?

as we know that

p(x)×q(x)=LCM×HCF

NOW WE HAVE TO FIND q(x)

q(x)=LCM×HCF/p(x)

q(x)=720×36/180

q(x)=25920/180

q(x)=144

i hope this will help you

8 0

3 years ago

Read 2 more answers

Can u please help me? I need help with both of them. Thanks

noname [10]

Answer:

first answer is (A)

second answer is 15 ft tall

Step-by-step explanation:

if you divide 150 by 6 you get 50 so since their are 3 even and odd numbers you cut 50 in half and it'll be 25

3 0

3 years ago

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What rational number equals 0.6 with bar over 6?

Neko [114]

when you dive the fractions

2/3 = 0.666666

6/10=0.6000

4/5 = 0.80

6/5 = 1.2

so the answer would be 2/3

8 0

4 years ago

Evaluate the following expression: 2W+Z, when w=-7 and z=3

Vikki [24]

Answer:

(a) (2w)w 2. (b) 3p. 3 × 4p ... y = –5, and z = 3, ... x = 7, and x t = 2, t. (d) (kx + 2 kx y. + 2 )y z when k = 3.5, k x = 4, x y = –5, and z = 3,. (e)

Step-by-step explanation: hey sorry if its wronge but i tryied :P

T-T

3 0

3 years ago

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