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ziro4ka [17]
3 years ago
7

What is the diameter?​

Mathematics
2 answers:
solong [7]3 years ago
8 0

Answer:

36 in because the radius×2=diameter

Step-by-step explanation:

LuckyWell [14K]3 years ago
8 0
The radius will be 36 I think
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How does A compare to B a=cos(0+2pi) b=cos(-0)
AnnZ [28]
You can use the double angle formula for A.
Cos(0 + 2pi) = Cos(0)*Cos(2*pi) - Sin(0)*Cos(2*pi)
Cos 0 = 1
Cos (2*pi) = 1
Sin(0) = 0
So you are left with cos(0 + 2pi) = 1 * 1 = 1

there are a couple of ways of handling Cos(-0) 
The First and most obvious way is to put it in your calculator just as you see it. Most calculators would do it like this
Cos(
+/-
0
)
=
The result should be 1
You could try using cos(0-0) You will get the same answer -- 1.
3 0
4 years ago
What is the nth term rule of the quadratic sequence below?
Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

<u>Given sequence</u>:

6, 20, 40, 66, 98, 136, ...

Calculate the <u>first differences</u> between the terms:

6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136

As the first differences are not the same, calculate the <u>second differences:</u>

14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38

As the <u>second differences are the same</u>, the sequence is quadratic and will contain an n² term.

The <u>coefficient</u> of the n² term is <u>half of the second difference</u>.

Therefore, the n² term is:  3n²

Compare 3n² with the given sequence:

\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}

The second operations are different, therefore calculate the differences <em>between</em> the second operations:

3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18

As the differences are the same, we need to add 5n as the second operation:

\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2  +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2  &-2  & -2  \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0
2 years ago
The lower supports are and the area of the two supports is square meters. The upper arch can be decomposed as one semicircle wit
Galina-37 [17]

Answer:

 The lower supports are <u>Congruent Rectangles</u> and the area of the two supports is<u> 24 square meters.</u>

The upper arch can be decomposed as one semicircle with radius<u> 6 </u>meters minus a semicircle with radius 3 meters.

The area of the archway is <u>(13.5 π</u> + 24) square meters.

Step-by-step explanation:

See attachment for the firgure,

In order to determine the area of archway = The area of upper support + area of lower support.

As given, the lower support are two congruent rectangles consists of dimension 3 m × 4 m

Therefore, the area of lower support can be written as,

The area of lower support = 3 × 4 + 3 × 4 = 12 + 12 = 24 square m.

Now, the upper support arch can be decomposed as the two concentric semi circles having radius 3 m and 6 m,

Hence, the area of the upper support = Area of semi circle having radius i.e 6 m - Area of semi circle having radius i.e 3 m

=> π6²/2 - π3²/2= 27π/2= 13.5π square m

Therefore, the area of the archway =  (13.5 π + 24) square meters

4 0
4 years ago
Albert bought a bicycle for $27 500. he sold it for $35 5000 what was the amount of his profit​
Digiron [165]

Answer:

35,000 - 27,500 = 7500

7500 Dollars of profit

Step-by-step explanation:

Can I have Brainliest

4 0
3 years ago
Read 2 more answers
10 cards are numbered from to 10 and placed in a box. One card is selected at random and is not replaced. Another card is then r
MissTica

since there is 5 numbers less than 6, the first time it will be 5/10 or 1/2 and then they dont get replaced meaning that the second time it is 4/9 which then when they are multiplied it is 1/2*4/9 which is 4/18 or 2/9 so the answer is 2/9

8 0
4 years ago
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