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Goshia [24]
2 years ago
12

Find the length of the diameter of circle 0

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
5 0

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

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Three times the sum of a number and 4 is the same as 18 more than the number
11Alexandr11 [23.1K]
First, figure out what you do and don't know....
You do know that 3 times the sum of a number and 4 is 18 more than the number....you don't know the number so you make it the variable x 
now take 3 times the sum of a number and 4 and make that an expression 3x+4 this expression is the same or equal to the sum of x and 18 x+18
3x+4=x+18
2x+4=18
2x=14
x=7
hope this helped :)
         
5 0
3 years ago
2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?
Talja [164]

Answer:

There are 171 members in the club

Number of boys = 38

Number of girls = 133

Step-by-step explanation:

Let

x = total members of the club

Boys = 2/9x

if there are 95 more girls than boys

Girls = 2/9x + 95

how many girls are there in club?

Total members in the club = boys + girls

x = 2/9x + 2/9x + 95

x = 2+2/9x + 95

x = 4/9x + 95

x - 4/9x = 95

9x-4x/9 = 95

5/9x = 95

Divide both sides by 5/9

x = 95 ÷ 5/9

= 95 × 9/5

= 855/5

= 171

boys = 2/9x

= 2/9 * 171

= 342 / 9

= 38

Girls = 2/9x + 95

= 38 + 95

= 133

Total = 38 + 133

= 171

There are 171 members in the club

Number of boys = 38

Number of girls = 133

5 0
3 years ago
Find the midpoint of if A(-3, 8) andB(-7, -6).
Mama L [17]

Answer:

(-5,1)

Step-by-step explanation:

8 0
2 years ago
Select the correct answer.
GREYUIT [131]
I don’t know
Igditditditd
4 0
2 years ago
Carol is one-sixth of an inch taller than dave.dave is fifty-eight and a half inches tall.how tall is carol
katrin2010 [14]
C=1/6 of x
D=55/1/2
1/6 of 111/2=110.167
55.08
=55 inches
5 0
3 years ago
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