Answer:
24.03 units (nearest hundredth)
Step-by-step explanation:
The distance between B and A is: AB = AH + HB
We have been given AH, so we just need to find the measure of HB.
First, find the angle AOH using tan trig ratio:
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
Given:
- = ∠AOH
- O = AH = 8
- A = OH = 19.80
∠BOA = ∠BOH + ∠AOH
⇒ ∠BOH = ∠BOA - ∠AOH
⇒ ∠BOH = 61° - 22.00069835°
= 38.99930165°
Now we can find HB by again using the tan trig ratio:
Given:
- = ∠BOH = 38.99930165°
- O = HB
- A = OH = 19.80
Substituting given values:
Therefore:
AB = AH + BH
⇒ AB = 8 + 16.03332427
= 24.03 units (nearest hundredth)
D. 118 would be the answer
Answer:
It would be "a sentence that includes two independent clauses connected by a conjunction" which is Choice B.
Choice A wouldn't work as there needs to be two or more independent clauses for it to be a Compound Sentence.
<u>Choice B would work, as it follows the definition of a Compound Sentence.</u>
Choice C wouldn't work, that would be a Complex Sentence
Choice D wouldn't, that would be a Simple Sentence.
Also, note that this question is something for the Language Arts section.
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (0, - 2 ) ← 2 points on the line
m = 
= 
= - 
The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
f(x) = - x - 2 ← function rule
Just make the height the subject of the equation, by dividing the volume by everything else.
V / ((1/3) * <span>π</span> * r²) = h
