Answer:
C
Step-by-step explanation:
The area of the wall hanging shown in blue is the area of the square 8 by 8 minus the area of the cutout. Notice the cutout is a triangle? To find the total area, subtract the area of the triangle from the square.
The square has the sides 8 by 8 and its area is found as A = 8*8 = 64.
The triangle measures 4 inches by 4 inches. The area is found as A = 1/2*4*4 = 8.
Subtract the two areas.
64 - 8 = 56
Answer:
The correct option is B.
Step-by-step explanation:
According to AAS congruence rule, two triangles are congruent if two angles and a non included side are congruent to corresponding angles and side of another triangle.
We need two angles and a non included side, to use AAS postulate.
In option A, two sides and their inclined angle are congruent, therefore these triangles are congruent by SAS postulate and option A is incorrect.
In option B, two angles and a non included side are congruent, therefore these triangles are congruent by AAS postulate and option B is correct.
In option C, two angles and their included side are congruent, therefore these triangles are congruent by ASA postulate and option C is incorrect.
In option D, all sides are congruent, therefore these triangles are congruent by SSS postulate and option D is incorrect.
There are 2 significant figures (sig figs) which are the two '5' digits. The zeros aren't considered sig figs because we can write the number as 5.5 * 10^8 to represent the exact same idea. The 0's are simply placeholders to tell how big the number is, not necessarily how accurate it is. If the 0s were between the decimal point and a nonzero value, then the 0s would be significant. If the 0s were to the right of the decimal, then they would be significant.
Answer: 2
Formula for the volume of a cylinder is pi radius squared times height so this one would be pi times 25 times 4 which approximately equals 314