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JulijaS [17]
3 years ago
7

What is the length of side DG? 12 in. 32 in. 36 in. 30 in.

Mathematics
1 answer:
taurus [48]3 years ago
8 0

Answer:

36 in

Step-by-step explanation:

The ratio of proportionality between the two similar triangles is 1:6, which you can find by dividing the corresponding side length measures from each triangle (3/18 = 4/24). Then you can set up a proportion:

1/6 = 6/x, which you can solve to get x = 36

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You have a right circular cone of height 1530 mm and volume 2.2 x 104 in3 . Calculate the base diameter of the cone.
Alja [10]

Answer:

  37.35 in

Step-by-step explanation:

The volume of a cone is given by the formula ...

  V = (π/3)r²h

where r is the radius of the base and h is the height. We want to find the diameter of the base, so we can rewrite this in terms of diameter and solve for d. Please note that the height is given in millimeters, not inches, so a conversion is necessary.

  V = (π/3)(d/2)²h

  12V/(πh) = d²

  d = 2√(3V/(πh)) = 2√(3(2.2×10^4 in^3)/(π·1530 mm/(25.4 mm/in))

  = 2√(1.6764×10^6/(π·1.53×10^3) in^2)

  d ≈ 37.35 in

The base diameter of the cone is about 37.35 inches.

4 0
2 years ago
Someone help, what’s 1+1?
Sergeu [11.5K]
It's 2 sir/ Maam Your Welcome
7 0
2 years ago
Write the value of the underline digit.<br> 0.496 the underline number is 9
Romashka [77]

Answer:

0.090

Step-by-step explanation:

In the number 0.496, the number 9 is in the hundredths place.

0.4<u>9</u>6

The value of 9 in 0.496 is 9 hundredths, or 0.090.

Hope this helps.

8 0
3 years ago
Read 2 more answers
Doug is going to ride his bicycle 3,000 miles across the United States, from coast to coast. He wants to choose the route that w
Bogdan [553]

Answer: hello your question has some missing data below is the missing data

There have been 2 attempts on the northern route from Maine to Washington. Both of those riders made it 2,000 miles and quit in Montana. There have been 19 attempts on the central route from Virginia to California; 9 of those riders didn't make it out of Virginia and the other 10 made it all the way to the Pacific. There have been 32 attempts on the southern route from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1 , 300 and 1 , 700 miles. For the northern route, the median distance covered will be the mean. For the central route, the median distance covered will be the mean. For the southern route, the median distance covered will likely be the mean

answer : Doug should choose the Central route

Step-by-step explanation:

Number of Available routes = 3

<u>Northern route</u> ; Total distance covered =  2000 miles

<u>Central route </u>: Total distance between Virginia and California = 2818.5 miles

percentage of success = 10 / 19 * 100 = 52.63 %

Mean distance covered = 2818.5 * 52.63% = 1483.38 miles

<u>southern route  </u>

Distance to be covered = 2,548 miles

number of attempts = 32

percentage of success = 1 = ( 1 / 32) * 100 = 3.12%

median distance covered by 30 riders = 1300 + ( 400 / 30 ) = 1313.33

<em>Conclusion :</em>

<em>Doug should choose </em><em>central route because it </em><em> has the highest percentage of success and longest distance covered  ( i.e. closest to 3000 miles ) and it is also coast to coast </em>

8 0
2 years ago
How do you turn 11/3 into a mixed number?
marysya [2.9K]
11/3 in a mixed number is 3⅔
3 0
2 years ago
Read 2 more answers
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