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bonufazy [111]
3 years ago
15

Find the area of a sector with a central angle of 170° and a diameter of 9.1 cm. Round to the nearest tenth.

Mathematics
1 answer:
deff fn [24]3 years ago
8 0
The area of the circle is calculated through the equation,
           A = πr²
where A is the area and r is the radius. An alternate equation can be used,
          A = πD²/4
where D is the diameter. 

Substituting the known value to the equation,
          A = π(9.1 cm)² / 4 
          A = 65.03 cm²

The area of the sector, As, is calculated by multiplying the area of the circle by the ratio of the angle to the whole revolution.
          As = (65.03 cm²) x (170°/360°)
          <em>As = 30.71 cm²</em>

The answer to this question is therefore letter B. 
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What is the simplified form of the following expression?
kogti [31]

Answer:

\sqrt{3}


Step-by-step explanation:

We will be using 2 properties of radicals in this simplification (outlined below).

  • \sqrt{a*b}=\sqrt{a}* \sqrt{b}
  • \sqrt{a}*\sqrt{a}=a

<em>Let's simplify this:</em>

2\sqrt{27} +\sqrt{12} -3\sqrt{3}-2\sqrt{12}\\ =2\sqrt{9*3}+\sqrt{4*3} -3\sqrt{3}-2\sqrt{4*3} \\=2\sqrt{9} \sqrt{3} +\sqrt{4} \sqrt{3}-3\sqrt{3}-2\sqrt{4} \sqrt{3} \\=2(3)\sqrt{3}+(2)\sqrt{3} -3\sqrt{3}-2(2)\sqrt{3} \\ =6\sqrt{3} +2\sqrt{3}-3\sqrt{3}-4\sqrt{3}  \\=\sqrt{3}


First answer choice is right.

5 0
3 years ago
A very large book is numbered to 1 to 11521 How many digits are used to print all these page numbers
stealth61 [152]

Answer:

46,499 digits

Step-by-step explanation:

Total pages of book = 11,521

9 pages numbered 1 - 9 that need 1 digit each = 9 × 1

= 9 digits

90 pages numbered 10 - 99 that need 2 digits each = 90 × 2

= 180 digits

900 pages numbered 100 - 999 that need 3 digits each = 900 × 3

= 2,700 digits

9000 pages numbered 1000 - 9999 that need 4 digits each = 9000 × 4

= 36,000 digits

1522 pages numbered 1000 - 11521 that need 5 digits each = 1522 × 5

= 7,610 digits

Total digits needed = 9 digits + 180 digits + 2,700 digits + 36,000 digits + 7,610 digits

= 46,499 digits

5 0
3 years ago
Which operation should you perform last in the expression 12 × 4^2?
drek231 [11]

Answer:

Multiplication

Step-by-step explanation:

Follow GEMDAS or PEMDAS. I would recommend GEMDAS. GEMDAS stands for Grouping symbols, exponents, multiply, divide, addition, subtraction. GO form the order G to S

3 0
3 years ago
Simplify: the sum of 6.6 and 3.2 all divided by 5 times the quantity of the squared difference of 2 minus 5 plus 6. −11.64 −5.76
denis-greek [22]

Answer:

23.64

Step-by-step explanation:

\frac{6.6+3.2}{5} × (2 - 5)² + 6

= \frac{9.8}{5} × (- 3)² + 6

= 1.96 × 9 + 6

= 17.64 + 6

= 23.64

5 0
2 years ago
the ratio of keiths age to Jared's ages 3 to 5 if Keith is 24 years old how old is Jared please show how many you got this answe
pishuonlain [190]
Comment
You need to set up a direct proportion. You have to relate Keith and Jared's ages to the ratio you were given.

Givens
Keith is 24
Keith / Jared = 3/5
J = Jared 

Solution
3/5 = 24 / J Cross multiply
3*J = 5 * 24 Combine factors on the right.
3J = 120     Divide by 3
J = 120 / 3
J = 40

Conclusion
Jared is 40 years old.
4 0
3 years ago
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