Answer:
50 softballs
Step-by-step explanation:
Volume of a sphere = (4/3)*π*radius³
A bowling ball has a radius of 8.5/2 = 4.25 in
Volume of a bowling ball = (4/3)*π*4.25³ = 321.56 in³
Circumference of a circle = 2*π*radius
radius of the basketball = Circumference/(2*π)
radius of the basketball = 29.5/(2*π) = 4.7 in
Volume of the basketball = (4/3)*π*4.7³ = 434.9 in³
radius of the softball= 12/(2*π) = 1.9 in
Volume of 50 softballs= 50*(4/3)*π*1.9³ = 1436.55 in³
A golf ball has a radius of 1.7/2 = 0.85 inches
Volume of 48 (four dozens) golf balls= 48*(4/3)*π*0.85³ = 123.48 in³
The figures will be similar (and also congruent) for the transformations ...
(-x, y)
(x+2, y-5)
(x, y)
_____
The transformation (2x, 4y) expands the figure twice as much in the vertical direction as in the horizontal direction. The result will not be similar to the original.
Answer:
<u>Use Pythagorean:</u>
<h3>#1</h3>
- x² = 16² - 8²
- x² = 192
- x = √192
- x = 12.73, not an integer
<u>Not a Pythagorean triple</u>
<h3>#2</h3>
- x² = 40² + 9²
- x² = 1681
- x = √1681
- x = 41
<u>It is a Pythagorean triple (9, 40, 41)</u>
<h3>#3</h3>
- x² = 6² + 13²
- x² = 205
- x = √205
- x = 14.32, not an integer
<u>Not a Pythagorean triple</u>
Ok so the lines with two triangles are parralel to eachother. The lines with one are parallel to eachother.
The angle of 109° and angle of z° equal eachother. Z=109°
Since 109°, 33° and y° form a triangle, the sum of the angles will equal 180. Add 109 and 33 to get 142. Subtract 142 from 180 to get y°=38°.
Since z=109, this means that the triangle is congruent with the other. Since the congruent triangles are in a rhombus, then the angles are flipped. Thus, angle x =33°.
z=109°
y=38°
x=33°
Regular hexagon = All the 6 angles are equal
Irregular hexagon =<u> At least one </u>of the angles is not the same as the rest of the angles.
