SOLUTION
From the sequence give
–3, 1, 5, 9, . . .
The first term, a = -3
The common difference, d = 4 (gotten by adding 4 to the next term).
The number of terms required n = 6.
Formula for sum of an arithmetic sequence is given by
Substituting these values into the equation above we have
Hence, the answer is 42, option B
Answer:
256.8
Step-by-step explanation:
the tenths place is the first number after the decimal.
Let the slower runners speed be X kilometers per hour.
Then the faster runners speed would be X+2 kilometers per hour.
The formula for distance is Speed times time.
The distance is given as 30 kilometers and time is given as 3 hours.
Since there are two runners you need to add the both of them together.
The equation becomes 30 = 3x + 3(x+2)
Now solve for x:
30 = 3x + 3(x+2)
Simplify:
30 = 3x + 3x +6
30 = 6x + 6
Subtract 6 from each side:
24 = 6x
Divide both sides by 6:
x = 24/6
x = 4
The slower runner ran at 4 kilometers per hour.
The faster runner ran at 4+2 = 6 kilometers per hour.
Complete question :
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy material, with base 0.5 m and height 1m
What is the length of the pillow?
Answer:
1.4 m
Step-by-step explanation:
The volume of wedge is given by:
V = Area of triangle * length
Area of triangle = 1/2 * base * height
Volume of wedge = 1/2 * base * height * length
Volume of wedge = 0.35m³
0.35 = 0.5 * 0.5 * 1 * length
0.35 = 0.25 * length
Length = 0.35 / 0.25
Length = 1.4 m
