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vaieri [72.5K]
3 years ago
8

Hey I don't understand but I provided the formula which you could help the 8 is the r the 2 is the h solve for me thanks

Mathematics
1 answer:
zepelin [54]3 years ago
4 0

Answer:

804 in ^3 (C)

Step-by-step explanation:

You have the formula written right there.

V= 1/3 x π (or 3.14) x 8^2 x 12 in

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In ⊙O, ST and VT are tangents. m∠STV = 22°. Find the value of a, b, and m∠SOV.
Rasek [7]

Answer:

\huge \orange {\boxed {a =202\degree}}

\huge \purple {\boxed { b = 158\degree}}

\huge \red {\boxed {m\angle SOV = 158\degree}}

Step-by-step explanation:

In \odot O, ST and VT are tangents at points S and V respectively.

\therefore OS\perp ST, \:and\: OV\perp VT

\therefore m\angle OST=m\angle OVT = 90\degree

In quadrilateral OSTV,

m\angle SOV +m\angle OST+m\angle OVT+m\angle STV = 360\degree

(By interior angle sum postulate of a quadrilateral)

m\angle SOV +90\degree +90\degree +22\degree  = 360\degree

m\angle SOV +202\degree  = 360\degree

m\angle SOV = 360\degree-202\degree

\huge \red {\boxed {m\angle SOV = 158\degree}}

\because b = m\angle SOV

(Measure of minor arc is equal to measure of its corresponding central angle)

\huge \purple {\boxed {\therefore b = 158\degree}}

\because a + b= 360\degree

(By arc sum property of a circle)

\therefore a = 360\degree - b

\therefore a = 360\degree -158\degree

\huge \orange {\boxed {\therefore a =202\degree}}

6 0
3 years ago
Find the variable x.
Mazyrski [523]

Answer:

x = 5

Step-by-step explanation:

7x is a secant- secant angle and has measure equal to half the difference of the intercepted arcs, that is

7x = 0.5(22x + 10 - 50)

7x = 0.5(22x - 40) ← distribute

7x = 11x - 20 ( subtract 11x from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5

5 0
3 years ago
Given the following functions f(x) and g(x), solve (f+g)(3) and select the correct answer bellow f(x)=6x+3. G(x)=x-7
Likurg_2 [28]

Answer:

17

Step-by-step explanation:

I would just solve them individually for 3 and then add them together. f(x)=6(3)+3 = 21 and g(x)= 3-7= -4

(f+g)(3) = 21-4= 17

5 0
3 years ago
5/18 x 3/4 simplify ​
Lesechka [4]

Answer:

5/24

Step-by-step explanation:

Find a common denominator and multiply, then convert to its simplest form.

3 0
2 years ago
What is the value of the expression. -8-(-3) <br> = -8 blank 3 <br> = blank
Mashutka [201]

Answer:

Step-by-step explanation:

-(-)=+

so  -8-(-3)=-8+3

=-5

6 0
3 years ago
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