Answer:
N n W = {1,2,3,4}
N u W = {0,1,2,3,4,}
Step-by-step explanation:
N n W = {1,2,3,4}
N u W = {0,1,2,3,4,}
n - intersection means the common elements between N and W
U - represents all elements within N and W
C. Two pairs of corresponding angles will lock in the 3rd angel and triangles will be similar
Having two pairs of corresponding sides does not guarantee similar triangles. See the attachment.
<u>Answer:
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Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
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Solution:
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Need to find the five terms of the sequence.
Given recursive rule is f(x) = f(x-1) -7
Substituting x = 2 , f(2) = f(2-1)-7
= f(2) = f(1) – 7 ------(1)
Also given that f(2) = 12.
On substituting the given value of f(2) in eq (1) we get
12 = f(1) – 7
f(1) = 12 + 7 = 19
Using given recursive rule and given value of f(2) calculating f(3)
Substituting x = 3 ,
f(3) = f(3-1) – 7
= f(2) – 7
= 12 – 7
= 5
Using given recursive rule and calculated value of f(3) calculating f(4)
Substituting x = 4,
f(4) = f(4-1) – 7
= f(3) – 7
= 5– 7
= -2
Using given recursive rule and calculated value of f(4) calculating f(5)
Substituting x = 5,
f(5) = f(5-1) – 7
= f(4) – 7
= -2– 7
= -9
Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
Answer:
B. 150 yards
Step-by-step explanation:
Area of a Triangle = .5 * Base * height
So we need the height of the triangle, or the missing side.
We have to use Pythagorean Theorem to solve this:
A^2 + B^2 = C^2
15 ^ 2 + B ^ 2 = 25 ^2
b^2 = 25^2 - 15 ^ 2
b^2 = 625 - 225
b^2 = 400
sqrt (400) = 20
The missing height is 20. Now we plug it into 1/2 * b * H
.5 * 15 * 20
7.5 * 20 = 150
150 Yds
7,000 and 7 hope this helped
