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r-ruslan [8.4K]
3 years ago
10

work out the area of a sector of a circle. give your answer in terms of π, can u plz show how u worked it out, thx :)

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0
\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta\pi r^2}{360}\qquad 
\begin{cases}
\theta=\textit{angle in degrees}\\
r=radius\\
--------\\
r=8\\
\theta=40
\end{cases}\implies A=\cfrac{40\cdot \pi \cdot 8^2}{360}
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If line uw bisects angle tuv,, m angle tue = (13x-5) and angle wuv = (7x+31) find the value of x
scZoUnD [109]

The value of x will be 6

<u><em>Explanation</em></u>

According to the below diagram, UW is the angle bisector of ∠TUV

<u>That means,</u>  \angle TUW = \angle WUV

Given that,  \angle TUW = 13x-5 and \angle WUV= 7x+31

So, the equation will be......

13x-5=7x+31\\ \\ 13x-7x=31+5\\ \\ 6x=36\\ \\ x=\frac{36}{6}=6

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4 0
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14 is the GCF of anumber M and 210. What are possible values of M?
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<span>14 = GCF of M and 210
M = possible values

GCF = Greatest common denominator
Now, let’s start decomposing
=> 210 | 2
=> 105 | 2
=>  35 | 5
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=> 1

Thus, 2 x 3 x 5 x 7 = 210

Now let’s find the factors of 14
=> 14 | 2
=> 7 | 7
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Thus, 2 x 7 = 14

Notice that’s there’s no 14 in 210 shown factors, but the only GCF found is 7.
Thus, the value of M that we’re looking for is infinite. All numbers that has the GCF of 7 are applicable.</span>



6 0
3 years ago
Gemma and Leah are both jewelry makers. They made 39 necklaces. Each necklace has exactly 104 beads on it. How many beads did th
Kay [80]

Answer:

4056

Step-by-step explanation:

39 necklaces

104 beads/necklace

number of beads = number of necklaces * number of beads per necklace

number of beads = 39 * 104 = 4056

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