The height of the right triangle is 8.08
<h3>Calculating the height of a triangle </h3>
From the question, we are to determine the height of the described right triangle
From the given information,
The angle measure is 30 degrees adjacent to the base
and
The base is 14
Using SOH CAH TOA
Adjacent = 14
Opposite = height of the triangle
Let the height the h
∴ Opposite = h
Thus,
tan 30° = h/14
h = 14 × tan 30°
h = 8.08
Hence, the height of the right triangle is 8.08
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Answer:
f(-2) = 4
Step-by-step explanation:
The function has three definitions depending on the value of x.
You are looking for the value of the function at x = -2.
-2 is in the interval x <= -1, which is the first line of the definition of the function.
We use the first line of the definition of the function.
f(x) = -2x for x <= -1
f(-2) = -2(-2) = 4
Answer: f(-2) = 4
Answer:

Step-by-step explanation:
we have

Solve for h
That means ----> isolate the variable h
step 1
Multiply by 6 both sides

step 2
Divide by
both sides

Answer:
(- 1, - 2 )
Step-by-step explanation:
Given the 2 equations
x - 3y = 5 → (1)
5x - 2y = - 1 → (2)
Rearrange (1) expressing x in terms of y by adding 3y to both sides
x = 5 + 3y → (3)
Substitute x = 5 + 3y in (2)
5(5 + 3y) - 2y = - 1 ← distribute left side
25 + 15y - 2y = - 1
25 + 13y = - 1 ( subtract 25 from both sides )
13y = - 26 ( divide both sides by 13 )
y = - 2
Substitute y = - 2 in (3) for corresponding value of x
x = 5 + (3 × - 2) = 5 - 6 = - 1
Solution is (- 1, - 2 )