The two lines are parallel, therefor 90-28=internal angle=62. Using trigonometry, Cosine=a/h. Cos(62)=350/x. Rearrange to get 350/Cos(62) = 519.7(1dp)
Answer:
Step-by-step explanation:
Given the explicit function as
f(n) = 15n+4
The first term of the sequence is at when n= 1
f(1) = 15(1)+4
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 15(2)+4
f(2) = 34
d = 34-19
d = 15
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)15)
S20 = 10(38+19(15))
S20 = 10(38+285)
S20 = 10(323)
S20 = 3230.
Sum of the 20th term is 3230
For the explicit function
f(n) = 4n+15
f(1) = 4(1)+15
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 4(2)+15
f(2) = 23
d = 23-19
d = 4
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)4)
S20 = 10(38+19(4))
S20 = 10(38+76)
S20 = 10(114)
S20 = 1140
Sum of the 20th terms is 1140
First one is -8.
Second one, I can't tell because I don't see it
Mrs. Beachy would drive 53mph. How I did it:954÷18(18 can't go into 9.... 95?)Yes, 5 times.954÷18= 5 -(Okay... 95-90 is 5, drop the four... 54?)18x3 is 54!954÷18=54! So the answer is 54mph (Right? I am sure I did that right...)
1/4 converted into a decimal is .25
20÷.25=80
the answer is 80