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spin [16.1K]
3 years ago
11

A circle has a sector with area 45/4 pi and central angle of 9/10 pi radians. What is the area of the circle?

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0

Answer:

the area of the circle: 25π

Step-by-step explanation:

45/4 π = 11.25π

9/10π = 0.9π

11.25π / 0.9π = x / 2π   .... 360° = 2π

x = (11.25π x 2π) / 0.9π = 25π

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Your mom has 3 pieces of ribbon to use for a craft The measurements are 4/5 8/10 and 2/7 yards each how much ribbon does she hav
jonny [76]
Not sure but I think she has 1 31/35 yards of ribbon.
8 0
3 years ago
Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end
Semmy [17]

Answer:

5259544316

Step-by-step explanation:

Given that:

Length of string = 7

Either begins with 2 consonants or ends with 2 vowels :

Either or :

A U B = A + B - (AnB)

Number of vowels in alphabet = 5

Number of consonants = 21

2 consonants at beginning :

First 2 consonants, then the rest could be any:

21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816

3 vowels at the end :

First 4 letters could be any alphabet ; last 3 should be vowels.:

26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000

2 consonants at beginning and 3 vowels at the end :

21 * 21 * 26 *26 *5* 5 * 5 = 37264500

Hence,

2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end

(5239686816 + 57122000) - 37264500

= 5259544316

Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316

7 0
2 years ago
From net earnings of $740 per month, Ginger Elliott must spend $200 for her portion of the rent on an apartment she shares with
MrRissso [65]
To find the percent, we do:
200/740=0.27←Find it in decimal form
0.27×100=27%←Multiply using 100 to find the percentage.

3 0
3 years ago
$22.95 shirt. 6% tax
lina2011 [118]

Answer:

6%=0.06

y=22.95(0.06)

y=1.377

y=1.377+22.95

$24.327 = $24.33 is the total for the shirt after tax.

Step-by-step explanation:

4 0
2 years ago
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