The wording of this problem indicates that there was an illustration. Could you possibly share that illustration?
Working without an illustration:
If tan theta = 3, then tan theta = opp/adj = 3/1. This tells us that the opp side is 3 times as long as is the adj. side. Let x be the shorter side, i. e., let x represent the adjacent side; then y is the longer side and represents the opposite side.
Then y = 3x (the opp side is 3x the adj side in length).
Applying the Pyth. Thm. a^2 + b^2 = c^2,
x^2 + (3x)^2 = hyp^2 = (25 cm.)^2
So x^2 + 9x^2 = (625 cm^2)
10x^2 = 625 cm^2, or x^2 = (625 cm^2) / 10 = 62.5 cm^2
x = 7.91 cm. Therefore, y = 3(7.91) = 23.72 cm.
We were supposed to round off these answers to the nearest 10th cm.
Therefore, x = 7.9 cm and y = 23.7 cm
Would that be A, B, C or D?
Width = w
Length = w + 1
Area = 30
w(w+1) = 30
w² + w = 30
w² + w - 30 = 0
w² + 6w - 5w - 30 = 0
w(w + 6) -5(w + 6) = 0
(w + 6)(w - 5) = 0
w = 5 or -6
Since the width cannot be negative, the width is 5 units.
Hence, the width is 5 units and the length is 6 units.
Answer:
19
Step-by-step explanation:
Let Sam be x
Let Susan be y
x = y+11
x + y = 27
Substitute (x) with (y+11)
(y+11) + y = 27
Solve the equation
2y + 11 = 27
2y = 16
y = 8
Susan's age is 8.
Sam's age is 8 + 11
Sam's age is 19
Hope this helped :)
Answer:
the answer is the third one
Step-by-step explanation:
