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2 years ago

Find the area of equilateral triangle with side a.

Mathematics

2 answers:

marysya [2.9K]2 years ago

8 0

Answer:

a^2 √3/4

Step-by-step explanation:

erica [24]2 years ago

7 0

A=square root of 3 over 4 times a^2

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The price of a t-shirt is 50$. If you buy 4 shirts, you will get 10% discount. How much do

lawyer [7]

Answer:

360

Step-by-step explanation:

50x4=200

200x0.9=180

180x2=360

6 0

2 years ago

Please help me with these

Margaret [11]

= 3^3 - |-39 | / (-3)
= 27 - (-13)
= 40

9)
top:
3(2)^3 / 6 +(-5)
= 24/6 - 5
= 4 - 5
= -1

bottom:
= 5 - 4 - 27/9 *3
= 5 - 4 - 3*3
= 5 -4 - 9
= -8
so
-1 / -8 = 1/8

answer
1/8

8 0

3 years ago

Use the chain rule to find dw/dt. w = ln x2 + y2 + z2 , x = 7 sin(t), y = 9 cos(t), z = 6 tan(t)

DENIUS [597]

By the chain rule,

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\partial w}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial w}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac{\partial w}{\partial z}\dfrac{\mathrm dz}{\mathrm dt}$

We have

$\dfrac{\partial w}{\partial x}=\dfrac{2x}{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial y}=\dfrac{2y}{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial z}=\dfrac{2z}{x^2+y^2+z^2}$

$\dfrac{\mathrm dx}{\mathrm dt}=7\cos t$
$\dfrac{\mathrm dy}{\mathrm dt}=-9\sin t$
$\dfrac{\mathrm dz}{\mathrm dt}=6\sec^2t$

So we have

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac2{x^2+y^2+z^2}\left(7x\cos t-9y\sin t+6z\sec^2t\right)$
$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{2\left(49\sin t\cos t-81\cos t\sin t+36\tan t\sec^2t\right)}{49\sin^2t+81\cos^2t+36\tan^2t}$
$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{8\sin t(9-16\cos^4t)}{\cos t(36+13\cos^2t+32\cos^4t)}$

3 0

3 years ago

My question is what is 4-5h how do you solve this problem

ioda

Let us assume that 4 - 5h = 0

we need to the value of h.

4 - 5h = 0
-5h = -4
-5h/-5 = -4/-5
h = 4/5

To check: substitute h by its value.
4 - 5h = 0
4 - 5(4/5) = 0
4 - 20/5 = 0
4 - 4 = 0
0 = 0

3 0

3 years ago

Read 2 more answers

Helppppppppppppp pliss

Aliun [14]

The straight line equals 180
The two angels have to equal 180

180-63=117

117-25=92

92 divided by 4 is 23

x=23

I hope this helped!

4 0

3 years ago