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2 years ago

Ivan and Kate live 40 miles apart. Ivan leaves his house at 8:00 a.m.

Mathematics

1 answer:

Triss [41]2 years ago

6 0

Answer: Time at which the meet = 10:17:24 am

Step-by-step explanation: Speed of Ivan = 12 mph

Speed of Kate = 16 mph

Total distance traveled = Initial separation = 40 miles

Ivan leaves his house at 8:00 a.m and Kate leaves her house at 9:30 a.m

If t is the time of catch up after Ivan starting, time taken by Kate is t - 1.5,

We have

Distance = Speed x Time

Total distance traveled = Distance traveled by Kate + Distance traveled by Ivan

40 = t x 12 + (t-1.5) x 16

40 = 28t - 24

28t = 64

t = 2.29 hours

So after 2.29 hours of Ivan's starting they meet,

Time = 8:00 am + 2.29 hours = 10:00 am + 0.29 x 60 minutes = 10:17am + 0.4 x 60 seconds = 10:17:24 am

Time at which the meet = 10:17:24 am

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vovikov84 [41]

Answer:

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Step-by-step explanation:

$UCL = \bar{p}+z(\sigma)$

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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.

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

4. The answer is C

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3 years ago

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Evaluate the expression if r = 12 and t = -6.<br> (t-r)/3

Lynna [10]

Answer:

-6

Step-by-step explanation:

$\frac{(t-r)}{3}$

input the numbers

$\frac{(-6-12)}{3}$

do the problem in the parentheses first

-6-12 = -18

now it becomes

$-\frac{18}{3}$

simplify and you'll get

-6

this is because -18 ÷ 3 =

-6

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3 years ago

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Can someone please help me with this?? please please please help me

Nadya [2.5K]

Step-by-step explanation:

base is 12, hypotenuse is 20

so X² is h²-b²

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3 years ago

The diameter of the larger circle is 10.5 cm. The diameter of the smaller circle is 4.5 cm.

blondinia [14]

4.5 / 2 = 2.25cm radius for the smaller circle

3.14 (pi) × 2.25² = 15.89625cm²

10.5 / 2 = 5.25cm radius for the larger circle

3.14 × 5.25² = 86.54625cm²

86.54625 - 15.89625 = <span>70.65cm</span>²

The answer is 70.7cm².

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2 years ago

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