Answer:
Step-by-step explanation:
Let the numbers be x and y
<h3>Given condition:</h3>x + y = 48 --------(1)
y = 7x -------------(2)
Put Eq. (2) in (1)
x + 7x = 48
8x = 48
Divide 8 to both sides
x = 48/8
<h3>x = 6</h3>Put x = 6 in Eq. (2)
y = 7 (6)
<h3>y = 42</h3>
Answer:
and
Step-by-step explanation:
we have
we know that
Compound inequality can be divided into two inequalities
so
rewrite
and
therefore
An equivalent form of the compound inequality is
and
<u>Answer:</u>
The height of the ladder is 14.491 feet
<u>Explanation</u>:
Given the height is 11 feet
Base = 7 + 2 = 9 feet
Consider the ladder to be the hypotenuse
Applying Pythagoras Theorem,
Substituting the values in the above formula,
= 112 + 92
= 121 + 81
= 210
H = sqrt(210)
H = 14.491
Therefore, the height of the ladder is 14.491 feet