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Diano4ka-milaya [45]
3 years ago
13

Radius=6cm and round to the nearest tenth use 3.14 or 22/7 for pie

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

113.04

Step-by-step explanation:

A=πr^2

A=3.14(6)^2

A=3.14(36)

A=113.04

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Question in attachment
ELEN [110]

Answer:

  • $20,000 at 8.5%
  • $10,000 at 10%

Step-by-step explanation:

There are a number of ways to solve mixture problems like this. Some are simple enough you can almost write down the answer. One I like uses a diagram to help you find the ratios of the components of the mix. You can do the same thing with a formula (without the diagram).

The basic idea is that you compute a ratio between two differences. The numerator is the difference between the average interest rate and the lower interest rate. Here, the average interest rate is 2700/30,000 = 0.09 = 9%. Then the numerator is 9% -8.5% = 0.5%

The denominator is the difference between the two interest rates of the investments: 10% -8.5% = 1.5%. And the ratio of these two values is ...

  0.5%/1.5% = 1/3

This is the fraction of the total investment that was invested at the higher interest rate:

  (1/3)×$30,000 = $10,000 . . . . was invested at 10%

Then the remaining amount, $20,000, was invested at 8.5%.

___

If you would prefer an equation, you can let x represent the amount invested at the higher rate. (That is the most convenient assignment of variables, as it keeps all of the numbers positive.) Then (30,000 -x) is the amount invested at the lower rate. The total amount of interest is ...

  10%(x) +8.5%(30,000 -x) = 2700

  x(10% -8.5%) = 2700 -8.5%(30000) . . . . . subtract 8.5%(30,000)

  x = (2700 -8.5%(30,000))/(10% -8.5%) . . . . divide by the coefficient of x

We have purposely left the expression unevaluated so that you can compare it to the math we described above. If you factor out 30,000 from the numerator of this fraction, you see the ratio that we described in words:

  x=30000\left(\dfrac{\dfrac{2700}{30000}-8.5\%}{10\%-8.5\%}\right)\\\\x=10,000

This tells us $10,000 was invested at 10%, and $20,000 was invested at 8.5%.

8 0
3 years ago
Match the terms to their definition. 1. part-whole ratio a ratio comparing a portion of a whole quantity to the whole quantity 2
dem82 [27]

Answer:

They're already matched... at least they way you typed it.

Step-by-step explanation:

A ratio is a comparison of two numbers as a fraction or quotient. A part-whole ratio is a ratio comparing a part of something to the whole thing. A part-part ratio is ratio comparing two different parts of one whole.

4 0
2 years ago
|z - 1| = 7z - 13 solve this equation and check for extraneous solutions
Tema [17]

|z - 1|  = 7z - 13
either:
z - 1 = 7z - 13
and in that case:
- 1 + 13 = 7z - z
12 = 6z
z = 12 \div 6 = 2
or:
z - 1 =  - 7z + 13
and in that case
z + 7z = 13 + 1
8z = 14
z = 14 \times 8 = 1.75
So; the answer is: either 2 or 1.75
8 0
3 years ago
Read 2 more answers
The starting numbers for x and y are already entered in a table below the blanks in the table represent the next two terms for e
Paul [167]

Answer:

it is this one

Step-by-step explanation:

because since x is 4 and y is 8 that one matches up better than any other one

6 0
2 years ago
What regular polygon has an interior angle of 156 degrees
icang [17]

Answer:

regular pentadecagon

Step-by-step explanation:

it has 15 sides

that is what matches the exterior angled sum property - 360degree

let me explain it

1 side = 180 - 156 = 24

360/24 = 15

mark me brainliest and thank me if you like the answer

4 0
2 years ago
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