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.
2:1/4=2* 4/1=2*4= 8 is the answer
a: b/c = a * c/b=a*c/b
Answer:
5.28 is the answer
Step-by-step explanation:
maybe late
Answer:
the area is 2160
Step-by-step explanation:
length times width equals the area of a rectangle
In mathematics, number sequences are classified into three types: arithmetic progression, geometric progression and harmonic progression. Arithmetic sequences have a common difference, geometric sequences have a common ration, while harmonic progression is just the reciprocal of the arithmetic progression.
The first term of the arithmetic sequence is 5, followed by three. Therefore, the common difference is, 3-5 = -2. You use these values to the derived formulas for arithmetic progression. One of these formulas is
An = A1 + (n-1)d
where
An is the nth term in the sequence
A1 is the first term of the sequence
n is the totla number of terms within the sequence
d is the common difference.
In this problem, A1 = 5 and d=2. Substituting to the equation,
An = 5 + (-2)(n-1)
An = 5 - 2(n-1), where n should be more than 1. In order for it to become a sequence, it should contain more than one term.
So, the answer is letter D.
