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3 years ago

Help with this question

Mathematics

1 answer:

vredina [299]3 years ago

6 0

Answer:

Step-by-step explanation:

First find the first radius

c=88cm

=2*22/7*r=88cm

=r=14cm

22/7 (pie as common)(R1^2+R2^2=637cm)

14^2+R2^2=637cm

196+R2^2=637cm

R2^2=637-196=441

R2=√441

R2=21

first radius =14cm

second radius =21cm

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A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so

mamaluj [8]

Answer:

1) Is the pattern an arithmetic sequence?

Yes it is

2)Identify a and d.

a = First term = 2

d = Common difference = 2

3) Write the 50th term of the sequence.

50th term = 100

4) Find the total number of logs in the first 10 rows.

= 1010 logs

Step-by-step explanation:

Is the pattern an arithmetic sequence?

Yes it is

2) Identify a and d.

A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on,

The formula for arithmetic sequence =

an = a+ (n - 1)d

a = First term

d = Common difference

For the above question:

a = 2

d = Second term - First term

= 4 - 2

d = 2

3) Write the 50th term of the sequence.

Using the formula for arithmetic sequence

an = a+ (n - 1)d

a = 2

n = 50

d = 2

a50 = 2 + (50 - 1)2

= 2 + (49)2

= 2 + 98

= 100

The 50th term = 100

4)Find the total number of logs in the first 10 rows.

Sum of first n terms = n/2(a + l)

n = 10

a = first term = 2

We are told that there are 200 logs in the bottom row, hence:

l = last term = 200 logs

Hence,

Sn = 10/2×[ (2 + 200

= 5(202)

= 1010 logs

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3 years ago

Which expression gives the distance between the points (2,4) and (-4,8)?

cluponka [151]

(y2-y1)/(x2-x1)=(8-4)/(-4-2)

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3 years ago

Read 2 more answers

5 divided by 978 with remainder

grigory [225]

Hi!

978 can't go into 5 at all, so the answer is 0 R: 978

Hope this helps! :)

-Peredhel

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3 years ago

Read 2 more answers

cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of

exis [7]

Answer:

The smallest amount is $\£6,911$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=3\ years\\ A=\£8,000\\ r=5\%=5/100=0.05\\n=1$

substitute in the formula above

$8,000=P(1+\frac{0.05}{1})^{1*3}$

solve for P

$8,000=P(1.05)^{3}$

$P=8,000/(1.05)^{3}$

$P=\£6,910.70$

Round to the nearest pound she can invest

The smallest amount is $\£6,911$

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3 years ago

Solve x^2 + 16x + 2 =0

Oliga [24]

Answer:

x = -8 + $\sqrt{}$ 62, -8 - √ 62

Step-by-step explanation:

This is the exact form

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3 years ago