(a) The sum of length and width is half the perimeter, so the breadth in terms of length (x) in cm will be
.. breadth = 34 -x
(b) Then the expression for the area (in cm^2) is
.. area = length*breadth
.. 253 = (x)(34 -x)
.. x^2 -34x +253 = 0 . . . . . subtract the right side, eliminate parentheses
.. (x -11)(x -23) = 0 . . . . . . . factor
.. x = 11 or 23
The dimensions of the rectangle are 11 cm by 23 cm.
Just subtract but take care of the power or else you can come up with wrong results !
so first make the power same ;
for Jupiter = 1.898× 10(27) = 18.98 × 10(26)
for Saturn = 5.68×10(26)
so now subtract = (18.98-5.68) × 10(26)
= 13.3 × 10(26)
so the answer is 13.3 ×10(26)
or, 1.33× 10(27)
Given:
CDEF is dilated by a scale factor of
to form the quadrilateral C'D'E'F'.
To find:
The measure of side E'F'.
Solution:
If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.
CDEF is dilated by a scale factor of
to form the quadrilateral C'D'E'F'. So,

From the given figure it is clear that
. So,


Therefore, the measure of side E'F' is 9 units.
Answer:

Step-by-step explanation:






Answer:
0.04 or 4%
Step-by-step explanation:
point estimate of proportion:
(0.6+0.68)/2
1.28/2
0.64
Margin of error:
0.68 - 0.64 = 0.04
0.04×100 = 4%