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2 years ago

11

In the diagram, Line AC is a diameter of the circle with center O. If mACB = 50°, what is mBAC?

1 answer:

Nataliya [291]2 years ago

5 0

The answer is B im sorry if I am late

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8. Jackie is selling cookies as a

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2 years ago

Please help me asap!

bazaltina [42]

Answer:

Value of A is -1

Value of B is 1

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2 years ago

Graph for the quadratic formula f(x) = (x - 3) ^2 +5

aksik [14]

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3 years ago

The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth

Lubov Fominskaja [6]

Answer:

$\frac{128\pi}{3}$ cubic units

Step-by-step explanation:

We are given that a region bounded by a curves $x=(y-7)^2$

x=4 and about y=5

We have to find the value of volume of the resulting solid

To find the volume of resulting solid we are using cylinder method

Substitute the values of x then we get

$(y-7)^2=4$

$y-7=\pm2$

y-7=2 and y-7=-2

y=7+2=9 and y=-2+7=5

Radius of cylinder =r=y-5

and height =h= $4-(y-7)^2=4-y^2-49+14 y=-y^2+14 y -45$

Using cylinder method and integrate along y -axis from y=5 to y=9

Volume = $\int_{a}^{b}2\pi r h dy=\int_{5}^{9}2\pi(y-5)(-y^2+14 y -45) dy$

volume= $2\pi\int_{5}^{9}(-y^3+19y^2-115y+225)dy$

Volume = $2\pi[-\frac{y^4}{4}+19\frac{y^3}{3}-115\frac{y^2}{2}+225y]^9_5$

Volume = $2\pi[-\frac{6561}{4}+\frac{625}{4}+19(\frac{729-125}{3})-115(\frac{81-25}{2})+225(9-5)]$

Volume= $2\pi(-1484+\frac{11476}{3}-3220+900)$

Volume = $2\pi(\frac{11476}{3}-3804)$

Volume = $2\pi(\frac{11476-11412}{3})=\frac{128\pi}{3}$

Hence, volume of resulting solid = $\frac{128\pi}{3}$ cubic units

3 0

3 years ago

2V2 km<br> 2 km<br> X<br> A) 2V5 km<br> C) 2 km<br> B) 2V3 km<br> D) 4 km<br> HELP PLEASEE

Rasek [7]

Answer:

$x=2\sqrt3\ km$

Step-by-step explanation:

Given that,

The base of a triangle = 2 km

The perpendicular height of the triangle = $2\sqrt{2} \ km$

We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :

$x=\sqrt{(2\sqrt{2})^2+2^2 } \\\\=2\sqrt{2+1 } \\\\=2\sqrt3\ km$

So, the value of x is equal to $2\sqrt3\ km$ .

3 0

3 years ago