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3 years ago

7

PLEASE HELP ME IF YOU CAN!!!

1 answer:

galina1969 [7]3 years ago

6 0

Answer:

11.775 km

Step-by-step explanation:

<h3>Given</h3>

r = 3 km

<h3>To find</h3>

Length of 75° arc

<h3>Solution</h3>

Circumference of the circle:

C = 2πr
C = 2*3.14*3² = 56.52 km

<u>The length of the 75° arc:</u>

56.52*75/360 = 11.775 km

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The wholesale price for a shirt is $5.50. A certain department store marks up the wholesale price by 40%. Find the price of the

Kazeer [188]

Answer:

$7.7

Step-by-step explanation:

Hello, I can help you with this

you can solve this by using a simple rule of three.

Step 1

define

if the wholesale price for a shirt is $5.50,it is 100 percent

$5.50⇔100%

the new price(x) is 40% more than the original, it means 140%

x ⇔ 140%

the relation is

$\frac{5.5}{100}= \frac{x}{140}\\$

Step 2

solve for x(isolate x)

$\frac{5.5}{100}= \frac{x}{140}\\x=\frac{5.5*140}{100}\\x=7.7$

the price of the shirt in the department store is $7.7

Have a nice day.

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3 years ago

Let a1, a2, a3, ... be a sequence of positive integers in arithmetic progression with common difference

Bezzdna [24]

Since $a_1,a_2,a_3,\cdots$ are in arithmetic progression,

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$a_4 = a_3+2 = a_1+3\cdot2$

$\cdots \implies a_n = a_1 + 2(n-1)$

and since $b_1,b_2,b_3,\cdots$ are in geometric progression,

$b_2 = 2b_1$

$b_3=2b_2 = 2^2 b_1$

$b_4=2b_3=2^3b_1$

$\cdots\implies b_n=2^{n-1}b_1$

Recall that

$\displaystyle \sum_{k=1}^n 1 = \underbrace{1+1+1+\cdots+1}_{n\,\rm times} = n$

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