Answer: The answer is 12.5 ft.
Step-by-step explanation: Given that there is a rectangle with ratio of its length to breadth 8 : 5. Also, the longer side of the rectangle is 20 feet. We are to find the length of the shorter side.
Let, '8x' and '5x' be the length and breadth of the rectangle respectively. Since length is the longer side, so we have
Therefore, width, length of the shorter side will be
Thus, the length of the shorter side is 12.5 ft.
Answer:
3.5 hours
Step-by-step explanation:
Speed of train X=30 mph
Speed of train Y=40 mph
Relative speed When the two trains travelling in same direction
Relative speed=40-30=10 mph
Total distance =25+10=35 miles
We have to find the time when train Y is 10 miles ahead of train X.
We know that
Time=
Using the formula
Then, we get
Time=
Hence, it will be 3.5 hours until train Y is 10 miles ahead of train X.
Answer: 11
Step-by-step explanation:
2 3/4 × 8 = p/4 × 8/1
Let p be the missing number
Convert the mixed fraction 2 3/4 to proper fraction, multiply 4 x 2, then add 3= 11/4
11/4 × 8 = p/4 ×8
p= 11
I hope this helps.
Answer:
A = 81 m²
Step-by-step explanation:
The formula for area of the parallelogram is
A = LH where L is the length of the base, and H is the height
L is given as 9, and H is given as 5, so
A = (9)(5) = 45 m²
The are of the triangle is
A = (1/2)bh where b is the base and h is the height
b is given as 9. Its's 9 because that side of the parallelogram is parallel to the base of the parallelogram and is also equal in measure. The height of the triangle is give as 8, so the area is..
A = (1/2)(9)(8)
A = 36 m²
The total area is
45 m² + 36 m² = 81 m²
The nth term of the sequence is 2n - 8
<h3>Equation of a function</h3>
The nth term of an arithmetic progression is expressed as;
Tn = a + (n - 1)d
where
a is the first term
d is the common difference
n is the number of terms
Given the following parameters
a = f(1)=−6
f(2) = −4
Determine the common difference
d = f(2) - f(1)
d = -4 - (-6)
d = -4 + 6
d = 2
Determine the nth term of the sequence
Tn = -6 + (n -1)(2)
Tn = -6+2n-2
Tn = 2n - 8
Hence the nth term of the sequence is 2n - 8
Learn more on nth term of an AP here: brainly.com/question/19296260
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