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earnstyle [38]
3 years ago
14

Calcite the area of sphere radius 3 give your answer in 1 decimal place ​

Mathematics
2 answers:
alexgriva [62]3 years ago
5 0

Answer:

113.1 units²

Step-by-step explanation:

Surface area of sphere = 4×pi×r²

= 4 × pi × 3²

= 36pi units²

= 113.0973355 units²

= 113.1 units²

Lisa [10]3 years ago
3 0

Answer: I assume you mean surface area of a sphere.

The formula is 4πr²

If radius=3, then:

4 times \frac{22}{7} times 3²

4 times \frac{22}{7} times 9

= 113.142857

Rounded to 1 decimal place = 113.1

<u>NOTE: In place of π you can also use 3.14.</u>

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2 years ago
SHOW YOUR WORK!!<br><br> What is the distance between point A (-3, -2) and Point B (4, -7)?
gulaghasi [49]

Answer: \bold{\sqrt{74}}

<u>Step-by-step explanation:</u>

\text{Use the distance formula: }d_AB=\sqrt{(x_A-x_B)^2+(y_A-y_B)^2}\\where\ (X_A, y_A)=(-3, -2)\\and\ (x_B,y_B)=(4, -7)\\\\\\d_AB=\sqrt{(-3-4)^2+[-2-(-7)]^2}\\\\.\quad =\sqrt{(-7)^2+(5)^2}\\\\.\quad =\sqrt{49+25}\\\\.\quad =\boxed{\sqrt{74}}

3 0
3 years ago
Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 eac
Vikki [24]

Answer:

All are correct.

Step-by-step explanation:

Let x be the number of movies and y be the number of newly released video games.

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

20x+50y\leq 400

Larry must purchase at least nine items.

x+y\geq 9

Check both inequalities of all given ordered pairs.

For (5,6),

20(5)+50(6)\leq 400\Rightarrow 400\leq 400

5+6\geq 9\Rightarrow 16\geq 9

Point (5,6) satisfy both inequalities.

For (10,4),

20(10)+50(4)\leq 400\Rightarrow 400\leq 400

10+4\geq 9\Rightarrow 14\geq 9

Point (10,4) satisfy both inequalities.

For (20,0),

20(20)+50(0)\leq 400\Rightarrow 400\leq 400

20+0\geq 9\Rightarrow 20\geq 9

Point (20,0) satisfy both inequalities.

For (15,2),

20(15)+50(2)\leq 400\Rightarrow 400\leq 400

15+2\geq 9\Rightarrow 17\geq 9

Point (15,2) satisfy both inequalities.

Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.

4 0
3 years ago
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