Answer:
d = 7
Step-by-step explanation:
The first five terms of an arithmetic progression are
a, a + d, a + 2d, a + 3d, a + 4d
Where d is the common difference
Given the fifth term term = 41, then
a + 4d = 41 → (1)
Given the sum of the first four terms = 94, then
a + a + d + a + 2d + a + 3d = 94, that is
4a + 6d = 94 → (2)
Rearrange (1) expressing a in terms of d by subtracting 4d from both sides
a = 41 - 4d → (3)
Substitute a = 41 - 4d into (2)
4(41 - 4d) + 6d = 94 ← distribute and simplify left side
164 - 16d + 6d = 94
164 - 10d = 94 ( subtract 164 from both sides )
- 10d = - 70 ( divide both sides by - 10 )
d = 7 ← common difference
are u suppose to find the value of x
Answer:
15.
Step-by-step explanation:
The given functions are
We need to find the value of f[g(1)].
Therefore, the value of f[g(1)] is 15.
The area of part 1 is 15√2 square in, the area of part 2 is 30 square in, and the area of the entire rectangle is (30 + 15√2) square in.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
The area of part 1 = 5√2×3 = 15√2 square in
The area of the part 2 = 5√2×3√2 = 15×2 = 30 square in
The area of the entire rectangle = area of part 1 + area of part 2
= (15√2 + 30) square in or
= (30 + 15√2) square in
Thus, the area of part 1 is 15√2 square in, the area of part 2 is 30 square in, and the area of the entire rectangle is (30 + 15√2) square in.
Learn more about the rectangle here:
brainly.com/question/15019502
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Answer:
$250
Step-by-step explanation: