Take the sequence in 1a
The 10th term is 31
The 20th is 61
If you wanted to find these by continuing the series, you'd have to add 3 to the last number in the series, then 3 more, then 3 more, until you reach the 20th term. By this point, you will have added 3 to the first term 19 times. That's where the formula comes from. So here,
a = 4, the first term
n = 20, the number of the term we need
d = 3, how much we're adding each time between one term and the next
Then, to get the 20th term,
4 + (20 - 1) • 3 = 4 + (19 • 3) = 4 + 57 = 61
Answers
The 10th and 20th terms of each sequences are
a. 31; 61
b. 48; 98
c. 47; 97
(in <em>c</em>, you're adding the same <em>d</em> as in the sequence above, but your first term is one unit less)
d. -25; -75
(same thing as before, but now, <em>d</em> is negative)
e. 11.5; 16.5
(with <em>d</em>=1/2 or 0.5)
f. 6+1/2; 8+1/2
Use these to check your answers after applying the formula, but know that I calculated on the fly and didn't check these.
1000/7 = <span>142.857142857
Because this is not an even number we take "142", then times it by 7 teachers.
142*7= 994
1000 - 994 = 6 Pencils left</span>
Answer: 7%
Step-by-step explanation:
Answer:
Width = 12 feet
Step-by-step explanation:
Given that,
Area of a rectangle is 168 square feet.
The ratio of the width to the length is 6:7.
Let the length is 7x and width is 6x.
According to question,
Area = 168 sq feet
l×b=168 sq feet
7x × 6x = 168
42x² = 168
x² = 4
x = 2
Length = 7x = 7(2) = 14 feet
Breadth = 6x = 6(2) = 12 feet
So, the width of the rectangle us 12 feet.
The answer to the question of yours is A. Rotation Its not B. because the question is asking by turning one triangle 90 degrees. This would mean that B. is incorrect since its turning. It wouldn't be C. because it isn't translating 90 degrees left or right its turning. And it most definitely wouldn't be D. Dilation because the triangle isn't decreasing or enlarging. Hope this helped feel free to ask any more questions.
