Answer:
true
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Answer:
Tan B= 16/30
Step-by-step explanation:
Remember SOH CAH TOA. Tan is involved with this problem so we would use the TOA. TOA stands for: T-Tan, O- Opposite, and A- Adjacent.
First you want to find what is the opposite side of angle B (in meaning the side if you go straight out from the angle) which would be 16. You then need to find the adjacent side which is the side in between the given angle and 90 degree angle so that would be 30. TOA states that Opposite is over Adjacent so it would be 16/30.
Answer:
10 feet.
Step-by-step explanation:
I am assuming this is a right triangle. We use Pythagoras theorem:
h^2 = 6^2 + 8^2
h^2 = 100
h = 10 feet.
They are adjacent because he share a vertex and a common side, and x=15° because 90°/(2+4)= 15
Answer:
(- 1, 4 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3 → (1)
y = x + 5 → (2)
Substitute y = x² + 3 into (2)
x² + 3 = x + 5 ← subtract x + 5 from both sides
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 2 : y = 2 + 5 = 7 ⇒ (2, 7 )
x = - 1 : y = - 1 + 5 = 4 ⇒ (- 1, 4 )
