Three years ago, Ava lent her sister $400 to buy some clothes. Today Ava’s sister paid her loan in full with $454. What simple a
2 answers:
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Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet
Step-by-step explanation:
The scenario is shown in the attached photo.
Right angle triangle ABC is formed when the ladder leans against the wall of the house.
AC = the height of the ladder
AB = x feet = distance of the base of the house to the foot of the ladder
BC is the wall of the building.
To determine x, we will apply trigonometric ratio
Cos # = adjacent/hypotenuse
Where
# = 70 degrees
Hypotenuse = 20
Adjacent = x
Cos 70 = x/20
x = 20cos70
x = 20 × 0.3420
x = 6.84 feets
Answer:
32
Step-by-step explanation:
We let the length of the square be l, the diagonal be z and the area be A.
Then by Pythagoras theorem;
The are of a square of length l is given as;
Combining these two equations yields;
Next, we have been given;
We are required to find;
when z = 4
By chain rule;
Differentiating with respect to z yields;
Therefore,
= 8z
When z is 4m the area of the square will be increasing at a rate of;
8m/min * 4m = 32
Answer:
Step-by-step explanation:
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
<u>So, we get:</u>
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
Hope this helped!
<h3>~AH1807</h3>