Answer:
- diagram is below
- 6, 11, 16, 21
- s[n] = s[n-1] +5
- 26, 31, 36
Step-by-step explanation:
a) See below for the next diagram in sequence.
__
b) The numbers of straws in each diagram are ...
6, 11, 16, 21, ...
__
c) Each term is 5 more than the previous one, so the recursive rule for the number of straws is ...
s[1] = 6
s[n] = s[n-1] +5
__
d) The next three terms of the sequence are ...
..., 26, 31, 36, ...
Answer:
10%
12.5%
13%
19%
Step-by-step explanation:
First write all of the amounts as a percent.
1/8 = 12.5%
13%
.10 = 10%
19%
Then you can order them from least to greatest.
10%, 12.5%, 13%, and then 19%
hope this helps
Answer:
Area of triangle = 20√2
Step-by-step explanation:
Formula:
Area of triangle = bh/2
b - base of triangle
h - height of triangle
<u>Distance formula</u>
d = √(x₂ - x₁)² +(y₂ - y₁)²
From the figure we can see that, the given triangle is right angled triangle.
Base = AC and Height = AB
<u>To find AB and AC</u>
A(1,3), B(4,7) and C(9, -5)
AB = √(4 - 1)² +(7 - 3)² = √(3² + 4²) = 5
AC = √(9 - 1)² +(-5 - 3)² = √(8² + -8²) = 8√2
<u>To find the are of triangle</u>
Area = bh/2 = (5* 8√2)/2 = 20√2
Therefore the area of triangle = 20√2 square units
Answer:
9
Step-by-step explanation:
first you have to do the 1+2 to get 3 then you divide 6 by 2 and get 3 then you multiply 3x3 to get 9!
Answer:
42
Step-by-step explanation:
first we calculate what is 20% of 35 is then we add it to 35 to find the increased number
35 ÷ 100 = 0.35 this multipled by 20 = 7
35 + 7 = 42
