Answer:
7/12
Step-by-step explanation:
Find and use the LCD here. The LCD is (3)(4), or 12.
Rewrite both fractions with the denominator 12:
4/12 + 3/12 = 7/12
For question number one:
We know that in similar triangles, corresponding sides are proportional.
In this scenario we have two triangles- one made by a stop sign and a shadow and one by a tree and its shadow.
The side of the triangle that is represented by the shadow of the stop sign is proportional to the side of the larger triangle represented by the shadow of the tree.
Also, the side of the smaller triangle that is represented by the height of the stop sign is proportional to the side of the bigger triangle represented by the height of the tree.
Using this information we can conclude that 12/42=18/h
By cross multiplying: 12h=42(18)
solve for h: (42)(18)/(12)=h
calculate: h=63
The height of the tree is 63 ft.
Answer:
A = 16π cm²
Step-by-step explanation:
We require to find the radius r
Given circumference C = 8π , then
2πr = 8π ( divide both sides by 2π )
r = 4 , then
A = πr² = π × 4² = 16π cm²
Answer:
Step-by-step explanation:
Dimensions of the rectangular park = 4 inches by 6 inches
Since scale factor = 
= 
Length of the original park = 120 miles
Similarly, width of the park = 180 miles
Area of the park = Length × Width
= 120 × 180
= 21600 square miles
Therefore, area of the original park is 21600 square miles.
Formula for the ratio of area of the park on map and original park is,
Scale factor = 
= 
Scale factor to reproduce the map so that it fits in the brochure will be 1 inch for every 60 miles.
