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AlekseyPX
2 years ago
7

Please help lol thanks, explain your steps ​

Mathematics
1 answer:
raketka [301]2 years ago
8 0
16. 40%。17. 0.8

Addition and subtraction
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Find the Surface Area and Volume of Sphere with radius 12 cm.
Gnom [1K]
Radius:r=12cm\\\\Surface\ area:\\A=4\pi r^2\to A=4\pi\cdot12^2=4\pi\cdot144=576\pi\ (cm^2)\\\\Volume:\\V=\frac{4}{3}\pi r^3\to V=\frac{4}{3}\pi\cdot12^3=\frac{4}{3}\pi\cdot1728=4\pi\cdot576=2304\pi\ (cm^3)
8 0
3 years ago
Read 2 more answers
A rectangular playground is 65m long and 30 m wide. A pathway of 1.5 m width goes all around, outside it. Find the area of the p
BabaBlast [244]

Answer:

97.5 m^2

Step-by-step explanation:

Given data

Length = 65m

Width= 30m

We are told that the width of the path= 1.5m

Hence the area of the path is

=65*1.5

=97.5 m^2

4 0
3 years ago
Help please urgent thanks
Alex

Answer:

The answer is 2/10 and 2/10

(A)

8 0
3 years ago
assume that 0<x<pi/2 and 0<y<pi/2. find the exact value of sin(x+y) if cosx=8/17 and siny= 12/37​
max2010maxim [7]

Answer:

621 / 629

Step-by-step explanation:

We are given the following information -

cos x = \frac{8}{17}, and sin y = \frac{12}{37}

Respectively we can use the following information -

sin( x + y ) = sin x ( cos y ) + sin y ( cos x ),

cos^2x  + sin^2x = 1,\\cos^2y  + sin^2y = 1

Knowing that cos^2x  + sin^2x = 1, cos^2y  + sin^2y = 1, we can calculate the value of sin x and cos y, plugging it into the first bit " sin( x + y ) = sin x ( cos y ) + sin y ( cos x ) "

sin^2x = 1 - cos^2x,\\sin^2x = 1 - ( 8 / 17 )^2,\\sin^2x = 15^2 / 17^2\\----------------\\sin ( x ) = 15 / 17

Respectively cos y should be 35 / 37 -

cos^2y = 1 - sin^2y,\\cos^2y = 1 - ( 12 / 37 )^2,\\cos^2y = 35^2 / 37^2\\----------------\\cos ( y ) = 35 / 37

Thus,

sin( x + y ) = ( 15 / 17 ) * ( 35 / 37 ) + ( 12 / 37 ) * ( 8 / 17 ),

sin( x + y ) = 621 / 629

<u><em>Hope that helps!</em></u>

5 0
4 years ago
Help me with this math problem please
Citrus2011 [14]

Answer:

First Option (-4,-3)

Step-by-step explanation:

x+2y=-10

-y=3x+15

-4+2(-3)=-10
-10=-10

-3=3(-4)+15
-3=-3

3 0
2 years ago
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