Answer:
Step-by-step explanation:
- Rectangle has properties:
- Diagonals are congruent
- Opposite sides are congruent
- All angles are right
<h3>Given</h3>
- m∠ABD = 30°
- AC = 16 in
- BC = ?
<h3>Solution</h3>
<u>As per properties mentioned above we have:</u>
ΔABD is right triangle with ∠B - 30°, ∠A- 90°, ∠D - 60°
Side opposite to 30 is half of the length of the hypotenuse
<u>AD is opposite to ∠B and BD is the hypotenuse, then:</u>
- AD = 1/2*BD
- AD = 1/2(16)
- AD = 8 in
and
For an arithmetic sequence, the nth term is the first term plus (n-1)×the differece
the first term is 28, the difference between each adjacent number is 8
so -36=(28)+8(n-1)
8(n-1)=64
n-1=8
n=9
the 9th term is -36
Answer:
200 cm
Step-by-step explanation:
2*100= 200
Answer:
angle b is 62 degrees. This is because if we solve for x, by putting the 2 equations equal to each other(because they are vertical angles), than we figure out that x=6. Now plug that into angle b's equation, and you get 62 degrees.
Step-by-step explanation:
Answer:
The answer to your question is 658.2 ft³
Step-by-step explanation:
Data
Volume = x
height = 11.8 ft
radius = 7.3 ft
Formula
Volume of a cone = 1/3πr²h
Process
1.- Calculate the volume
Volume = 1/3(3.14)(7.3)²(11.8)
Volume = 1/3(3.14)(7.3)²(11.8)
Volume = 1/3(3.14)(53.29)(11.8)
Volume = 1/3(1974.5)
Rounded to the nearest tenth
Volume = 658.2 ft³
