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vovikov84 [41]
3 years ago
5

In triangle XYZ, an exterior angle to angle X had measure 100° and an exterior angle to angle Z has measure 120°. Which side of

triangle XYZ is the longest?
Mathematics
1 answer:
DaniilM [7]3 years ago
5 0

Answer:

Side YZ is the longest

Step-by-step explanation:

The longest side is across from the largest angle.

Angle X must be 80° because its exterior angle is 100° and they're supplementary. Angle Z is 60° for the same reason. Inside a triangle is always 180°, and since the measures of angle Z and X add up to 140°, so there's 40° left, meaning angle X is the largest.

Angle X is across from size YZ, so that's the longest

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A tennis ball machine can launch 60 tennis balls in 12 minutes.
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It's 300 because you divide 60 by 12 which gives you 5, then multiply 60 and 5.

8 0
2 years ago
For each of the following vector fields
olga nikolaevna [1]

(A)

\dfrac{\partial f}{\partial x}=-16x+2y

\implies f(x,y)=-8x^2+2xy+g(y)

\implies\dfrac{\partial f}{\partial y}=2x+\dfrac{\mathrm dg}{\mathrm dy}=2x+10y

\implies\dfrac{\mathrm dg}{\mathrm dy}=10y

\implies g(y)=5y^2+C

\implies f(x,y)=\boxed{-8x^2+2xy+5y^2+C}

(B)

\dfrac{\partial f}{\partial x}=-8y

\implies f(x,y)=-8xy+g(y)

\implies\dfrac{\partial f}{\partial y}=-8x+\dfrac{\mathrm dg}{\mathrm dy}=-7x

\implies \dfrac{\mathrm dg}{\mathrm dy}=x

But we assume g(y) is a function of y alone, so there is not potential function here.

(C)

\dfrac{\partial f}{\partial x}=-8\sin y

\implies f(x,y)=-8x\sin y+g(x,y)

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For (A) and (C), we have f(0,0)=0, which makes C=0 for both.

4 0
3 years ago
Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl i 50% . find
Bingel [31]
Pr(1/2) for both I believe. If not right sorry.
5 0
3 years ago
Please help me find the correct answer to this!
WARRIOR [948]

Answer:

D) x=-1, x=-9

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x=-1, x=-9

7 0
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iren2701 [21]

Step-by-step explanation:

y - y1 = m (x - x1)

(y - y1)/m = x - x1

x - x1 = (y - y1)/m

x = (y - y1)/m + x1

therefore, answer is option C

Topic: Change of subject / coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

3 0
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