The answer is 1/12
The chance of getting a 3 on a six-sided dice is 1/6
The possibility of getting heads on a two-sided coin is 1/2
6 multiplied by 2 is 12
1 multiplied by 1 is 1
Hope it helps!
Answer:
height for the building = 551.8 ft
Step-by-step explanation:
The info given describes the shape of a right triangle.
Thus:
Reference angle = Angle of elevation = 23°
Opposite side = height of the building = ?
Adjacent side = 1,300 ft
Apply trigonometric function, TOA:
Tan 23 = Opp/Adj
Tan 23 = Opp/1,300
1,300 × Tan 23 = Opp
551.817261 = Opp
Opp ≈ 551.8 ft
height for the building = 551.8 ft
Answer:
Step-by-step explanation:
In order to solve for b, we must isolate the variable. We can start by subtracting 5 from both sides.
Simplify.
Add b to both sides.
Simplify.
Multiply everything by 3 to remove the fractions.
Simplify.
2b + 3b = 45
Simplify.
5b = 45
Divide 5 from both sides.
5b ÷ 5 = 45 ÷ 5
Simplify.
b = 9
For more information on solving variables, check out the following answers!
<h3>
Step-by-step explanation:</h3>
The point of intersection of the perpendicular bisectors of a triangle is the circumcenter, the center of the circle that contains the three triangle vertices.
If that center is on one side, that side must be a diameter of the circle. The diameter cuts the circle into two arcs, each of which measures 180°.
The third vertex of the triangle and its two legs form an inscribed angle that subtends an arc of 180°. The measure of that angle is half the measure of the arc, so the angle measures 90° and is a <em>right angle</em>.
A triangle with a right angle is a right triangle. QED
Answer: -3
Step-by-step explanation:
