Answer:
Step-by-step explanation:
<u>Assume a solution</u>
Assume that 60 is the length. The width is then 1/4 less, or 60 -60/4 = 45.
The diagonal of this rectangle is found using the Pythagorean theorem:
d = √(60² +45²) = √5625 = 75
<u>Make the adjustment</u>
This is a factor of 75/40 larger than the actual diagonal, so the actual dimensions must be 40/75 = 8/15 times those we assumed.
length = (8/15)×60 = 32
width = (8/15)×45 = 24
The length and width of the rectangle are 32 and 24, respectively.
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<em>Comment on this solution method</em>
This method is suitable for problems where variables are linearly related. If we were concerned with the area, for example, instead of the diagonal, we would have to adjust the linear dimensions by the <em>square root</em> of the ratio of desired area to "false" area.
Answer:
The one that is 0,-3 and 3,0
Step-by-step explanation:
Answer: Mary covers less distance for 320 m
Step-by-step explanation:
Psqere=4a
Prect=2(a+b)
anna=4*4a (a=90m)
Anna=16*90=1440m
Mary=4*2(a+b)=8(a+b)=8*(80+60)=8*140=1120 m
anna-Mary=1440-1120=320m
Answer:
32
Step-by-step explanation:
A=bh
b-8
h-4
A= 8 x 4
A=32
Answer:
A. y-6=7(x+2)
Step-by-step explanation:
When we use the coordinate point given and plug into our equation choices, A is the only choice that returns a correct result.
y-6=7(x+2)
First we use the x coordinate
y-6=7[(-2)+2]
y=6
Next we use the y coordinate
y-6=7(x+2)
6-6=7(x+2)
-14=7x
x=-2
