Answer: 102°
Step-by-step explanation:
First and foremost, we should note that an isosceles triangle has two sides that are equal and that the sum of angles in a triangle equals to 180°.
Since we are told that the isosceles triangle has base angles that each measure 39°, the third angle will be:
t + 39° + 39° = 180°
t + 78° = 180°
t = 180° - 78°
t = 102°
The third angle is 102°.
Given :
A building is of unknown height. At a distance of 400 feet away from the building .
An observer notices that the angle of elevation to the top of the building is 35º and that the angle of elevation to a poster on the side of the building is 15º .
To Find :
How far is the poster from the roof of the building .
Solution :
Height is given by :

( Here ,
is angle of elevation )
So , height of tower :

For height of poster :

Therefore , distance of poster from the roof of the building is :

Hence , this is the required solution .
Answer:
T and F
Step-by-step explanation:
Hi! Maybe I am reading it wrong, but only 2 statements are given. The answer to these statements are true and false.
"A square root of 16 is 4."

4 squared, or 4 * 4 is equal to 16, and therefore this is true.
"The only square root of 9 is -3."
This is false. 9 has 2 square roots: 3 and -3.
3 * 3 = 9, and so does (-3) * (-3).
So we have T and F, which eliminates the second, third, and fourth choices, which means even without a last statement, A is your correct answer.
Hope I helped! :)
Answer:
594 rpm
Step-by-step explanation:
Two gears will have the same linear speed, so:
v₁ = v₂
ω₁ r₁ = ω₂ r₂
(316 rpm) (79) = ω (42)
ω ≈ 594 rpm
Answer: 491 cards
Step-by-step explanation:
Given
Steve had 10 more cards than Jeff
Suppose Jeff has x cards
So, steve has x+10 cards
Steve handover his cards to Jeff
Now, Jeff has x+x+10=2x+10 cards
It must be equal to 992

Jeff started with 491 cards