Angle 4 would also be 135. the two on the top would add to 180, making a whole circle altogether that equals 360. so, you would do 180-135 = 45. angle 5 is 45. angle 7 would also be 135 because angle 4 and 7 are vertical angles.
Step-by-step explanation:
Consider Similarity and enlargement
To get the enlargement factor,
Take the ratio result of any two similar sides. i.e
PQ/AB = 3.6/2 = 1.8
The enlargement factor is 1.8
To get ST, consider ED then multiply it by the enlargement factor. i.e
= 5 x 1.8
= 9
Answer:
(-10,0) is the X intercept
(0,-45) is the Y intercept
Step-by-step explanation:
The x intercept is where it meets on the x axis, the y intercept is where it intercepts on the y axis
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³
To compare these numbers, you must first put them into one format. Since you have mixed numbers, you may have to find and use the LCD.
-2.5, 1/5, 10, -12/4, 18/5, 10 could be simplified somewhat immediately:
-2.5, 1/5, 10, -3, (3 3/5) This set of numbers is simple enough so that you could rearrange them in ascending order mentally:
-3, -2.5, 1/5, (3 3/5), 10
In this case the number of elements in this set is odd, so all you have to do is to select the MIDDLE element: 1/5.
The median is 1/5.
You MUST learn this procedure (arranging the set elements in ascending order and selecting the middle element) so that you can apply it yourself.
