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Natali5045456 [20]
2 years ago
5

Find the measure of arc DB. 25° 96° 118° 146°

Mathematics
1 answer:
Sati [7]2 years ago
3 0

Answer:

146°

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle.

(5x )\degree =  \frac{1}{2} [(25x + 21) \degree - 96 \degree]  \\  \\ (5x )\degree  \times 2= (25x + 21 - 96) \degree  \\  \\ (10x )\degree  = (25x + 21 - 96) \degree  \\  \\ 10x = 25x - 75 \\  \\ 75 = 25x - 10x \\  \\ 75 = 15x \\  \\ x =  \frac{75}{15}  \\  \\ x = 5 \\  \\ m  (\widehat{DB}) = (25x + 21) \degree \\  \\ m(\widehat{DB} )= (25 \times 5 + 21) \degree \\  \\  m(\widehat{DB} )= (125 + 21) \degree \\  \\ \huge  \purple{ \boxed{m( \widehat{DB} )= 146 \degree}} \\  \\

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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
Giovanna and Janet have jobs where they get paid by the hour .Below are the numbers of hours of each have worked on each of the
Harman [31]
I would need more information to help you. Like the numbers of hours worked, amount of money made, and the statements.
5 0
3 years ago
Please help... need help ASAP due today... which ones are the answers?
andrey2020 [161]

Answer:

Choices 1 and 4 are correct.

Step-by-step explanation:

We first need to find what the slope of the line is. That way, we can find out which possible answers are perpendicular to it:

\frac{4-(-2)}{3-1}=\frac{6}{2}=3

Since we now have the slope, we need the negative reciprocal of it. Remember: if x is the slope, it's negative reciprocal will be -\frac{1}{x}. Therefore, if the line's slope is 3, then we need to find answers with a slope of-\frac{1}{3}.

The first answer is correct, as you have marked. The second answer, while written a little weirdly, does show the slope as 3, which we know as wrong. The third choice is not correct, however. This equation is written in point-slope form, wherey-y_{1}=m(x-x_{1}). The only variable we have to worry about is m, which, in the third choice, is 3. The fourth answer is correct, which sounds weird at first. Let's put that equation into slope-intercept form:

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Equations like these can be real sneaky, so it's important not to jump to conclusions with them.

6 0
3 years ago
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liberstina [14]

Answer:

Step-by-step explanation:

8,6,2, and 1

(2^6 / 8) * 1  = (64/8) * 1 = 8 * 1 = 8

7 0
3 years ago
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Semenov [28]

Answer:

a(8a-1)(3a+5)

Step-by-step explanation:

24a³ + 37a² – 5a =

a ( 24a²+ 37a -5) =

a( 24a² +40a -3a -5) =

a [8a(3a+5) -1(3a+5) ]=

a(8a-1)(3a+5)

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2 years ago
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