Answer and explanation:
If a map is being reduced to form a pocket sized version then it is being proportionality reduced a smaller size that is required. Cartographers enlarge and reduce maps proportionally to serve different purposes in their study. The map is still the same but smaller in size.
If on a map 2cm represents 2 meters, that is 0.02/2 which evaluates to 1/100, then we are comparing distance and ensuring they are proportional using scale factor(our scale factor is 1:100 here)
Answer:
6 3/4
Step-by-step explanation:
3/4 * 9 = 27/4
How many times does 4 go into 27
It goes in 6 times (4*6 = 24) with 3 left over
The left over part goes over the denominator
6 3/4
Answer:
He should buy lights that are 2088 inches long
Step-by-step explanation:
Craig has a rectangle wooden deck that measures 799 inches by 245 inches.
Let us say the length, L, is 799 inches and the breadth, B, is 245 inches.
He wants to put a string of lights around the deck.
This means that he needs to buy the length of lights that would be equal to the perimeter of the rectangular deck.
The perimeter of a rectangle is given as:
P = 2(L + B)
Hence, the length of lights he should buy is:
P = 2(799 + 245) = 2(1044)
P = 2088 inches
He should buy lights that are 2088 inches long.
<span>December = $57
</span><span>In December, the price was $57, which was $29 less than the price in November then November price was: $57 + $29 = $86
</span><span>In November, the price of a GizmoPhone was double the price in March. so March: $86 x 2 = $172
answer: the price </span>of a GizmoPhone in March was $172
Answer:

Step-by-step explanation:
Variables and symbols:
- r = radius
- V = volume
- A = surface area
- C = circumference
- π = pi = 3.1415926535898
- √ = square root
Volume of a sphere in terms of radius:
, 
To calculate the volume of a sphere:
Usually the hardest part is measuring or estimating the diameter of the sphere. Special tools exist for smaller parts like balls in ball-bearings, but it gets more complicated if the size is large. Knowing that the diameter is the largest internal measurement you can take should help.
Once you have the measurement, to find the volume use the formula above, in which π is the well-known mathematical constant equal to about 3.14159. To adjust for a half-sphere calculation, just divide the result by two.
Spheres and half-spheres are useful in engineering and architecture due to their property of being able to take equal amounts of pressure or force from each direction.
Solution:

Round to nearest tenth: 