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seraphim [82]
3 years ago
9

A nature park has two ticket plans. With one plan, you pay a $24 yearly membership fee plus $8

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0

Answer:

G6

Step-by-step explanation:

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Find The art length of a sector with an area of 8 square units.
frez [133]
\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
A=8\\
r=4
\end{cases}\implies 8=\cfrac{\theta \pi 4^2}{360}\implies \cfrac{8\cdot 360}{4^2\pi }=\theta 
\\\\\\
\cfrac{2880}{16\pi }=\theta \implies \boxed{\cfrac{180}{\pi }=\theta }\\\\
-------------------------------\\\\

\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta =\frac{180}{\pi }\\
r=4
\end{cases}\implies s=\cfrac{\frac{180}{\underline{\pi} }\underline{\pi} \cdot 4}{180}\implies s=\cfrac{\underline{180}\cdot 4}{\underline{180}}
\\\\\\
\boxed{s=4}

if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.

that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.
6 0
3 years ago
Factorise completely<br> 12y² + 4y
otez555 [7]

Step-by-step explanation:

12y^{2}  + 4y \\4y( \frac{12y^{2} }{4y}  +  \frac{4y}{4y} ) \\ 4y(3y + 1)

8 0
2 years ago
Read 2 more answers
Evaluate the expression when x=3 and y= -2
Paul [167]

Answer:

-11

Step-by-step explanation:

To evaluate an expression with variables, replace the variables with what the question tells you to.

Replace "x" with 3. Replace "y" with -2.

-x + 4y

= -(3) + 4(-2)       Multiply 4 and -2 first to get -8

= (-3) + (-8)         Add normally. -3 + (-8) is the same as (-3) - 8.

= -11             Answer

Therefore the solution is -11.

5 0
3 years ago
Math question! I appreciate any help!
saw5 [17]
Lateral faces are all the sides of the prisms EXCEPT the bases, which are the sides on the top and bottom. To find the area of the lateral faces we can use the formula: perimeter x height.

perimeter = 2 (6 + 8) = 2 x 14 = 28
height = 14
area of the lateral faces = perimeter x height = 28 x 14 = 392

Hope this helps!
6 0
3 years ago
To which subset does the following number belong? √7
marishachu [46]
Irrational numbers. √7 is an irrational number.
4 0
3 years ago
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