A) If 9 students sharpen 18 pencils in 2 minutes,Then if the time is halved, it will take twice as many men to sharpen 18 pencils.Hence it will take 18 students to sharpen 18 pencils in one minute B) y & 1/x. Then y = K/x where K is our constant of proportionality.Then K = yx. When x = -64 and y = -16 then K = -64 * -16 = 1024. Option DC) When x = 3 y = 8. So for an inverse variation K as calculated from B = 3 * 8 = 24.Then when K = 24 and y = 6; we have 24 = 6x. Hence x = 4. Option A
Answer:
B) Figure B has the same number of edges as Figure A
D) Figure B has the same number of angles as Figure A
E) Figure B has angles with the same measures as Figure A
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
If Figure B is a scaled copy of Figure A
then
Figure A and Figure B are similar
therefore
<u><em>The statements that must be true are</em></u>
B) Figure B has the same number of edges as Figure A
D) Figure B has the same number of angles as Figure A
E) Figure B has angles with the same measures as Figure A
Answer:(a) Express the complex number (4 −3i)3 in the form a + bi. (b) Express the below complex number in the form a + bi. 4 + 3i i (5 − 6i) (c) Consider the following matrix. A = 2 + 3i 1 + 4i 3 − 3i 1 − 3i Let B = A−1. Find b22 (i.e., find the entry in row 2, column 2 of A−1)
Step-by-step explanation:
The area of a dodecagon is 1/2aP
where:
a-apothem
P-perimeter
In the figure you will draw a point to any side and make a line perpendicular from a center to that side. Then if u think u can see that with only one draw of a hypotenuse can form a triangle. Then after drawing the hypotenuse which has 2 triangles, make the top angle of 1 triangle there are 30 degrees. On the down part is perpendicular and the left or the right is the 60 degrees. After that using special right triangles like the 30, 60, 90,. Then at the base of the one it bisected dived them by 2 for the 2 triangle's base. After that solve using it since the radius is 14. The apothem is 14(sqrt of 3). So after solving them the perimeter of each dodecagon is 12 sided so 14x12 is 168
A=1/2aP
A=1/2(14)(sqrt of 3)(168)
A=1176(sqrt of 3)
Thats the area of the dodecagon now the circle
A=(pi)r^2
A=(pi)(9)^2
A=81pi
Therefore the color purple is greater than the color green
