1.333 ×x = 74
x =
x =
11. S(-4,-6) and T(-7, -3); Find R. What is the missing endpoint if S is the midpoint of RT
1 answer:
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Answer:
1.75 cm
Step-by-step explanation:
We are given that the dimensions of the box as 25 cm by 14 cm by 10 cm.
Now, to increase the profit, the dimensions of the box by 'x' cm.
Thus, the new dimensions are (25-x) cm by (14-x) cm by (10-x) cm.
Further, it is given that the volume of the new box is 2,208
As, Volume of the box = Length × Breadth × Height
i.e. 2208 = (25-x) × (14-x) × (10-x)
i.e.
i.e.
i.e.
On solving this cubic equations, we get that, the solutions are x = 27.6, x = 1.75 and x = 26.8.
Since, the dimensions 25 cm by 14 cm by 10 cm are reduced by x cm.
Thus, if x = 27.6 or x = 26.8, then (10-x) = -17.6 or -16.8, which cannot be possible. So, x = 1.75 cm.
Hence, the dimensions were decreased by 1.75 cm.
Answer:
option: b is correct.
( b.Yes, because both figures are rectangles and all rectangles are similar )
Step-by-step explanation:
Yes, the rectangle EFGH is a result of dilation of rectangle ABCD with a center of dilation at the origin.
Also The scale factor of the dilation is greater than one as the image is bigger than the pre-image i.e. there is a stretch.
The scale factor could be calculated by the ratuio of the sides of the image to the pre-image rectangle.
Rectangle ABCD: Its vertices have coordinates A(-3,3), B(3,3), C(3,0) and D(-3,0).
Now consider rectangle EFGH: Its vertices have coordinates E(-4,4), F(4,4), G(4,0) and H(-4,0).
Hence the scale factor is:
Hence the scale factor is: 4/3.
Also
∠A=∠B=∠C=∠D=∠E=∠F=∠G=∠H=90°
( When a shape is dilated the two shapes are similar.And similar shapes have equal interior angles , corresponding sides are proportional ).
Hence option: b is correct.
( b.Yes, because both figures are rectangles and all rectangles are similar )
Using the the density(D)-mass(m)-volume(V) formula 
, we can calculate the volume 