The correct answer to this question is letter "C. distance." An isometry is a transformation that preserves distance. Isometry is a geometrical transformation that preserves geometrical properties such as distance. In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving injective map between metric spaces.
Answer: I am the saving grace
Step-by-step explanation:
In the attachments :)
The slope, m, is given by the equation m = (y2-y1)/(x2-x1), where (x1, y1) and (x2, y2) are points on the graph. Thus:
m = (-18-(-18))/(-15-12)
= (-18+18)/-27
= 0/27 = 0
Therefor the slope is 0
Answer: A company saves $134.38 by choosing to make 50 of Box 2 instead of Box 1
Step-by-step explanation:
Hi, to answer this question we have to calculate the surface area of both boxes.
<em>Surface area (A) = 2wl + 2lh + 2hw,
</em>
Where w is width, l is length , and h is height.
- Box 1 = A = 2(6x20) + 2( 20x4) + 2 (4 x 6) =2 (120)+ 2 (80)+ 2(24) =448 in2
- Box 2 = A = 2 (4x15)+ 2(15x8)+ 2(8x4) = 2(60)+2(120)+2(32)=424 in2
Since 1 inch = 0.0833333 foot
- Box 1 = 448 in2 x 0,0833333 =37.34 ft2
- Box 2= 424 in2 x 0,0833333 =35.19 ft2
Since the material used to make a storage box costs $1.25 per square foot.
- Box 1 =37.34 ft2 x1.25 = $ 46.675
- Box 2= 35.19 ft2 x 1.25 =$43.98
Since 50 of each are made:
- Box 1 = $ 46.675 x50 =2,333.750
- Box 2= $43.98 x50 =2,199.37
Subtracting both costs:
2,333.750(1) - 2,199.37(2) = $134.38
About 70 Cities in Total.
For his more noteworthy grandness, Alexander established exactly 70 urban areas in the grounds he vanquished and requested them named after himself. Most celebrated, obviously, is Alexandria in Egypt. In India, when his dearest horse kicked the bucket, he requested a city to be constructed named Bucephala.