We can check each of these using the Pythagorean Theorem,
Option A:
.25 + 1.44 = 1.691.69 = 1.69
This option works
Option B
1 + 4 = 9
5 ≠ 9
This option does not work, but let's check the others to make sure
Option C:
36 + 64 = 100
100 = 100
This option works
Option D:
9 + 16 = 25
25 = 25
This option works
So, after doing the calculations, we see that option B does not work
What's the difference between A) and C)??
There should be an E) because the correct answer would be in either of these forms:
Answer:
$162.94
Step-by-step explanation:
Because 20% off of 192.15 = $162.94 and
$153.72 + (6.0%) $9.22 = $162.94
The complete question in the attached figure
Part a)
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm
the answer part a) isAB=6 cmPart b)
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³
the answer part b) is 100 cm³
Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be 
.
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are 
and 
.
The ratio of 
is 
.
The reason why it ideally should be and not 
is because the question states 
, which mentions 
first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
