Answer:
71 degrees
Step-by-step explanation:
Hi there!
- Find ∠DBH (using the sum of interior angles in a triangle)
- Find ∠x (180-∠DHB)
<u>Triangle DBH</u>
The sum of all the interior angles in a triangle is equal to 180 degrees. Knowing this, we can solve for ∠DHB by subtracting 31 and 40 from 180:
180-31-40 = 109
Therefore, ∠DHB is 109 degrees.
<u>Angle x</u>
Because ∠x and ∠DHB make a straight angle, to find ∠x, we just have to subtract 109 from 180:
180-109 = 71
Therefore, x is 71 degrees.
I hope this helps!
The area of the rectangular garden is 50 x 10 = 500 square feet.
The perimeter of the rectangular garden is 50 + 50 + 10 +10 =120 feet.
The perimeter of the square also needs to be 120 because it is using the same amount of fence.
Divide 120 by 4 sides: 120/4 = 30
Each side of the square garden would need to be 30 feet.
The area of a square is Side^2, 30^2 = 900 square feet.
The square is 900 - 500 = 400 square feet more.
The volume of a cylinder:
V = πr²H
A diameter is equal 2r (r-a radius), therefore 2r = 10in ⇒ r = 5in.
H = 3r ⇒ H = 3 · 5in = 15in
subitute:
V = π · 5² · 15 = π · 25 · 15 = 375π (in³) ≈ 375 · 3.14 = 1,177.5 (in³)
Answer: V = 1,177.5 in³
Hey!
Switch it around and it becomes:
First find 18 ÷ -6
Positive ÷ negative OR negative ÷ positive is always negative.
That leaves you with:
Switch that around and it becomes:
Find -3 + 5
That leaves you with:
Divide both sides by 2 to leave <em>x</em> alone
150,165,180,198,204,216,230,255
Quartile 1: (165+180)÷2
=345÷2
=172.5
Quartile 3: (216+230)÷2
=446÷2
=223
Quartile range:223-172.5=50.5 or D. Hope it help!