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Ostrovityanka [42]

3 years ago

5

There are 20% more goblins than wizards in the magic club there are 220 goblins and wizards altogether in the magic club how man

y goblins are in e magic club

2 answers:

Alenkasestr [34]3 years ago

7 0

There are 44 goblins in the magic club and 176 wizards

lara [203]3 years ago

4 0

120 GOBLINS

W=100
G=1.2w
G=1.2*100=120

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#3:Find the slope of the line below

ICE Princess25 [194]

Answer:

-5/2

Step-by-step explanation:

with slope always remember rise over run, vertically, the dots are 5 points away from each other so that is your rise. Horizontally they are only 2 away so that's your run. the answer is negative because the slope goes down to the right. If it went up to the right then the slope would be positive.

8 0

2 years ago

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Find the indefinite integral. (use c for the constant of integration.) sin3 5θ cos 5θ dθ

Elina [12.6K]

I'm guessing you mean

$\displaystyle\int\sin^35\theta\cos5\theta\,\mathrm d\theta$

Let $t=5\sin\theta$ . Then $\mathrm dt=5\cos5\theta\,\mathrm d\theta$ . So we have

$\displaystyle\int\sin^35\theta\cos5\theta\,\mathrm d\theta=\frac15\int\sin^35\theta(5\cos5\theta)\,\mathrm d\theta$

$=\displaystyle\frac15\int t^3\,\mathrm dt$

$=\dfrac{t^4}{20}+C$

$=\dfrac{\sin^4\5\theta}{20}+C$

7 0

3 years ago

Can I get help on this one

ivann1987 [24]

Answer:

150

Step-by-step explanation:

The angle as a whole is 180 degrees. 150 and 30 are supplementary angles because they add up to equal 180.

5 0

2 years ago

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

Or

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

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2 years ago

Statistics help please!

Anastasy [175]

The answer would be $9

7 0

3 years ago