Answer:
x = 105
Step-by-step explanation:
the sum of all interior angles of any four-sided figure has 360 degrees
∡F and ∡H are equal
add all four expressions and set them equal to 360
x + (x + 5) +( x + 5) + (140 - x) = 360
combine like terms
2x + 150 = 360
2x = 210
x = 105
Answer:
<u>Option D: A cylinder with a circumference of about 50 units</u>
Step-by-step explanation:
The rest of the question is the attached figure.
The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr
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Given: the perimeter of the square = 32
perimeter of a square is four times the length of its side
So, the side length of square = 32/4 = 8 units
The square is rotated about line k.
So, it will form a cylinder with radius 8 units.
Circumference of a circle = 2 π r
Where, r is the radius of the circle.
Circumference of the base is C = 2 π * 8
∴ C = 16π = 16 * 3.14
∴ C = 50.26548 ≈ 50
The shape is created by the rotation is a cylinder with a circumference of about 50 units.
<u>So, the answer option is D.</u>
Answer: C 7/25
Step-by-step explanation:
Answer:
He subtracted incorrectly
Step-by-step explanation:
You multiply 42.75 x 4 and get 171. Then you add 171+52.45=223.45 and then you subtract 223.45-18=205.45 and then you multiply 223.45 x .3333 = 68.3265 or 68.33 (rounded)
Answer:
600
Step-by-step explanation:
How to do it in your head (secret):
3*2 = 6
add 2 zeros after the 6 since there are 2 zeros in total in this equation 2<u><em>0 </em></u>and 3<u><em>0</em></u> so:
30*20 = 600
:D