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astra-53 [7]
2 years ago
15

Jason Reads 126 pages in 6 hours. Joe reads 115 pages in 5 hours how many more pages per hour does Joe read?

Mathematics
1 answer:
Marizza181 [45]2 years ago
4 0
Jason --> 126/6 = 21 pages per hour

joe --> 115/5 = 23 pages per hour

joe reads 2 more pages per hour

hope this helps :)
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Two horses are ready to return to their barn after a long workout session at the track. the horses are at coordinates H(1,10) an
ss7ja [257]
The given information are the coordinates of points H, Z and B. So, the first step to do is to plot these points on a Cartesian plane as shown in the attached picture. We can deduce visually that horse Z is closer to the barns than horse H. But, to further justify the answer, we have to provide the magnitude of the distance of horses H and Z to barn B. In this approach, we use the distance formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

Use the coordinates of the two points to know their linear distances. These are represented by the red and green lines for each of the horses.

Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B  = 19.4165

Since the scale is 1 unit = 100 meters, the actual distance between horse H and barn B is 19.416*100 = 1,941.65 meters


Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B  = 16.4012

Since the scale is 1 unit = 100 meters, the actual distance between horse Z and barn B is 16.4012*100 = 1,640.12 meters

Comparing the distances: 1,941.65 meters > 1,640.12 meters. Therefore, it justifies that horse Z is nearer to the barn.

4 0
3 years ago
38. What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round t
svetoff [14.1K]
1. The surface area of a cone S is S= \pi  r^{2}+  \pi rl, where r is the radius of the base and l is the slant height.

2. The slant height l is found as follows:

l^{2}= OC^{2}+ OB^{2}
l^{2}= 12^{2}+ 62^{2}=144+3844=3988

l= \sqrt{3988}=63.15

3. 

A=\pi r^{2}+ \pi rl=3.14(12)^{2}+3.14*12*63.15

= 452.16+2379.492 =2831.652 ( m^{2} )

 = 452.16+2379.492 =2831.652 ( m^{2} )

4. The answer is C

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3 years ago
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