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beks73 [17]
3 years ago
11

If the diameter of the circle is 24 cm, find its area correct to one decimal place.

Mathematics
1 answer:
Radda [10]3 years ago
4 0

Answer:

A=pi times radius squared

24/2= 12 is the radius (since it's half of diameter)

A=pi times 12 squared

12 squared is 12 times 12 which is 144

A=pi times 144

A=452.389342

Rounded to 452.4

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Explain the difference between an equation and an inequality. Write at least two of each, one of the form px+q and one of the fo
Triss [41]

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7 0
2 years ago
The length to width ratio of a wide-screen tv is 16:9. if a tv is 30 inches long, how wide is it?
bija089 [108]
It is about 16.9 inches wide
7 0
3 years ago
Read 2 more answers
The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh    where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

  h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8]             (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation.  Solve using factoring...

(1/4)b² + 4b - 48 = 0       (subtract 48 from both sides)

b² + 16b - 192  =  0       (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0       (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0          

    b = -24    

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

  b = 8        

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

 

   h = (1/2)(8) + 8

     h = 4 + 8

 

         h = 12

8 0
3 years ago
Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur
Gelneren [198K]
I am setting the week hourly rate to x, and the weekend to y.  Here is how the equation is set up:

13x + 14y = $250.90
15x + 8y = $204.70

This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7.  Now it equals:

52x + 56y = $1003.60
-105x - 56y = -$1432.90

Now we add these two equations together to get:

-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10.  This is how much she makes per hour on a week day.

Now we can plug in our answer for x to find y.  I am going to use the first equation, but you could use either.

$105.30 + 14y = $250.90.  Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40

Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends.  Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.
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3 years ago
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Anastasy [175]

Answer:No

Step-by-step explanation:

Since Sadie scored 3 times more than Conner and it says can Conner score 4,well 3 x 4 is already 12 which is Sadies number not even counting Conners so no,Conner could have not.

Even though you don’t need to I‘ll just tell you what Conner scored,it is 3 since Sadie is 3 times more than Conner ,that’s 3 x 3 which is 9 then plus Conners 3 goals add together which is 12

Hope this helped!

If you are reading this hope you have a wonderful day and may your dreams come true!

8 0
2 years ago
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