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g100num [7]
3 years ago
7

Diagram 6(b)(i) shows a regular pentagon PQRST and a right-angled triangle RUV. Find the value of x.

Mathematics
1 answer:
Scrat [10]3 years ago
8 0
X = 45 degrees

If each angle of a triangle sums up to 180 degrees, then subtract 90 from 180 and split the difference in half to get the other angles
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One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large
anzhelika [568]

Answer:

10 cm.

Step-by-step explanation:

We'll begin by calculating the area of the small bubble. This can be obtained as follow:

Radius (r) = 5 cm

Area (A) =?

Since the bubble is circular in nature, we shall use the formula for area of circle to determine the area of the bubble. This is illustrated below:

A = πr²

A = π × 5²

A = 25π cm²

Next, we shall determine the total area of the small bubbles. This can be obtained as follow:

Area of 1 bubble = 25π cm²

Therefore,

Area of 4 bubbles = 4 × 25π cm²

Area of 4 bubbles = 100π cm²

Finally, we shall determine the radius of the large bubble. This can be obtained as follow:

Area of large bubble = total area of small bubbles = 100π cm²

Radius (r) =?

A = πr²

100π = πr²

100 = r²

Take the square root of both side

r = √100

r = 10 cm

Thus, the radius of the large bubble is 10 cm

5 0
3 years ago
The recursive rule for a sequence is an=an-1+7, where a1=15.What is the explict rule for this sequence
posledela

well, the recursive rule of aₙ = aₙ₊₁ + 7, where a₁ = 15, is simply saying that

we start of at 15, and the next term is obtained by simply adding 7, and so on.

well, that's the recursive rule.

so then let's use that common difference and first term for the explicit rule.

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=15\\ d=7 \end{cases} \\\\\\ a_n=15+(n-1)7\implies a_n=15+7n-7\implies a_n=7n+8

5 0
3 years ago
im sci-fi gurl and i nedd your guys help by the end of tommorow for those who go to connexus academy know this what are all 15 a
Crazy boy [7]

Answer:

what do you mean your not giving any questions about what you need help on

3 0
3 years ago
Girls join meet 9920378204 pass 123456789​
nignag [31]

Answer:

hi...............................

Step-by-step explanation:

....

5 0
3 years ago
Read 2 more answers
How would you solve this question?
skad [1K]
That I can not understand it looks weird.
8 0
3 years ago
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