Answer:
C. 139 ft
Step-by-step explanation:
Height of the pole = x + 4 ft
First, find x using trigonometric function.
Reference angle = 44°
Opposite side length = x
Adjacent side length = 140 ft
Apply TOA, which is:
Tan 44 = opp/adj
Tan 44 = x/140
Multiply both sides by 140
140 × Tan 44 = x
135.196428 = x
x ≈ 135 ft
✔️Height of the pole = x + 4 ft = 135 + 4 = 139 ft
We use the Pythagorean theorem to determine if the side lengths given will result to either a right, acute, or obtuse triangle.
a = 7 ; b = 24 ; c = 26
a² + b² = c² ⇒ right triangle
a² + b² > c² ⇒ acute triangle
a² + b² < c² ⇒ obtuse triangle
7² + 24² = > < 26²
49 + 576 = > < 676
625 < 676 OBTUSE TRIANGLE
Answer:
A counterexample is sufficient, as long as it is well built and complete.
Step-by-step explanation:
A counterexample is a statement used to show that a previously spoken statement is false.
The counterexample must be direct, clear, simple, well constructed and concise to be effective. If the counterexample has all of these characteristics, only one counterexample is sufficient to show that a conditional statement is flawed.
As an example of this, we can use a square as a counterexample of a statement that states that every rectangle has 4 equal sides.
Answer:
Step-by-step explanation:
With this question, we just have to group the terms, so in this case, we can remove the common term (x - 4), and then group the rest of them
If we do that we get:
(x - 4) (2x + 7)
Hope this helps,
Cate
Answer:h stands for hours so if they worked 40 hours they would get paid 1820 dollars
Step-by-step explanation: