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valentina_108
5 days ago
11

What number is 10 times greater than 12,052

Mathematics
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GI bisects with angle DGH so that m angle DGI is x - 3 and m angle IGH is 2x-13. What is x?
Inessa [12570]
X - 3 = 2x - 13
+x +x

-3 = 3x - 13
+13 +13

10 = 3x
10/3 3/3

3.3 = x

7 0
3 months ago
Read 2 more answers
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r
zzz [12365]
The diagram below illustrates the issue at hand.

Question 1:
The maximum area of the pool equals half the area of the circle.

To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.

Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).

Question b:

To find the pool's area, we take the circle's area and subtract the triangle's area.

The area of the circle is 11309.73 square feet.

For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.

The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.

Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.

Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.

6 0
3 months ago
The manufacturer of a certain type of new cell phone battery claims that the average life span of the batteries is 500 charges;
Inessa [12570]

Answer:

a. 0

b. Yes

c. The claim made by the manufacturers is not credible

d. 0.3446

e. A mean lifetime of 39.8 hours is not considered unusually short.

f. The manufacturers claim is credible

Step-by-step explanation:

Please see attachment

8 0
3 months ago
Toby goes on holiday to Geneva, Switzerland. In Geneva, Toby sees a watch costing 193.75 CHF (Swiss Francs). In Manchester, an i
lawyer [12517]
The watch is less expensive in Geneva, Switzerland by £20. Step-by-step explanation: To identify the city where the watch is cheaper, we need to convert the watch's price to the same currency. Since pounds are utilized in part b of the question, using this currency would simplify the calculations. In Geneva, the watch's price is 193.75 CHF from our conversion: £1 = 1.55 CHF, thus, £x = 193.75 CHF. By cross-multiplying, we solve for x: (193.75 * 1) / 1.55 = 193.75/1.55 = £125. This demonstrates that the watch is cheaper in Geneva and more expensive in Manchester. To find out by how much, we simply deduct the Geneva price from the Manchester price: 145 - 125 = £20 cheaper.
3 0
2 months ago
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