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tatiyna
2 years ago
10

Help meee pleaseeeeeee ​

Mathematics
1 answer:
Svetllana [295]2 years ago
3 0

Answer:

9

Step-by-step explanation:

we can use the pythagorean theorem so (15)²= (12)² + (x)²--> (15)²-(12)²=x²

take the square root of both sides ans x=9

note! this is a special type of triangle called a 3-4-5 special right triangle because all the sides when divided by a factor of 3 will simplify down to the sides 3-4-5 (only true when the hypotheneuse is the 5 because it's the longest side of a triangle)

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Carlos has a string that is 24 inches long he wants to divide it into three equal parts write an equation to find how long each
katrin2010 [14]

Answer: 24 ÷ 3


Step-by-step explanation: You do 24÷3 because he has a string that is 24 inches long and if he wanted to divide it into 3 equal pieces . You would get 8 inches long for each piece (8x3) or (3x8)


4 0
3 years ago
Last week Martha sold brownies. And cookies at a back sale she sold 60 bowlines and 42 cookies on Saturday and 28 brownies and 5
elena55 [62]

Answer:

Martha earns $65.6 over the weekend.

Step-by-step explanation:

Brownies sold by Martha on Saturday = 60

Cookies  sold by Martha on Saturday = 42

Brownies sold by Martha on Sunday = 28

Cookies  sold by Martha on Sunday = 54

Total brownies sold by Martha over the weekend = 60+28=88

Total cookies sold by Martha over the weekend = 42+54=96

Cost of a brownie = $0.20

Cost of a cookie = $0.50

Total cost of brownies sold over the weekend = 88\times \$0.20 = \$17.6

Total cost of cookies sold over the weekend = 96\times \$0.50 = \$48

∴ Total money Martha earned over the weekend = \$17.6+\$48=\$65.6 (Answer)

4 0
4 years ago
If A = 10 feet, B = 6 feet, C = 1 foot, D = 14 feet, and E = 2 feet, what is the area of the object?
Bogdan [553]

Answer:


Step-by-step explanation:


3 0
3 years ago
Evaluate the surface integral:S
rjkz [21]
Assuming S does not include the plane z=0, we can parameterize the region in spherical coordinates using

\mathbf r(u,v)=\left\langle3\cos u\sin v,3\sin u\sin v,3\cos v\right\rangle

where 0\le u\le2\pi and 0\le v\le\dfrac\pi/2. We then have

x^2+y^2=9\cos^2u\sin^2v+9\sin^2u\sin^2v=9\sin^2v
(x^2+y^2)=9\sin^2v(3\cos v)=27\sin^2v\cos v

Then the surface integral is equivalent to

\displaystyle\iint_S(x^2+y^2)z\,\mathrm dS=27\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^2v\cos v\left\|\frac{\partial\mathbf r(u,v)}{\partial u}\times \frac{\partial\mathbf r(u,v)}{\partial u}\right\|\,\mathrm dv\,\mathrm du

We have

\dfrac{\partial\mathbf r(u,v)}{\partial u}=\langle-3\sin u\sin v,3\cos u\sin v,0\rangle
\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle3\cos u\cos v,3\sin u\cos v,-3\sin v\rangle
\implies\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle-9\cos u\sin^2v,-9\sin u\sin^2v,-9\cos v\sin v\rangle
\implies\left\|\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}\|=9\sin v

So the surface integral is equivalent to

\displaystyle243\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv\,\mathrm du
=\displaystyle486\pi\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv
=\displaystyle486\pi\int_{w=0}^{w=1}w^3\,\mathrm dw

where w=\sin v\implies\mathrm dw=\cos v\,\mathrm dv.

=\dfrac{243}2\pi w^4\bigg|_{w=0}^{w=1}
=\dfrac{243}2\pi
4 0
3 years ago
Solve for t. (Answer must be completely simplified)<br> 10t=11
AlexFokin [52]

Answer:

T can be equal to 1 1/10 or 1.1 or 11/10

Step-by-step explanation:

10t=11

So divide by 10 on both sides.

t=11/10 which can be simplified to t=1 1/10 or t=1.1

:)

4 0
3 years ago
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