Answer:
Step-by-step explanation:
set up the equation
1.48=(x-405)/97
x=548.56=549
<em>If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.</em>
Answer:
Approximately 3.5 feet - Option B
Step-by-step explanation:
Imagine that you have this walkway around the garden, with dimensions 30 by 20 feet. This walkway has a difference of x feet between it's length, and say the dimension 30 feet. In fact it has a difference of x along both dimensions - on either ends. Therefore, the increases length and width should be 30 + 2x, and 20 + 2x, which is with respect to an increases area of 1,000 square feet.
( 30 + 2x )
( 20 + 2x ) = 1000 - Expand "( 30 + 2x )
( 20 + 2x )"
600 + 100x + 4
= 1000 - Subtract 1000 on either side, making on side = 0
4
+ 100x - 400 = 0 - Take the "quadratic equation formula"
( Quadratic Equation is as follows ) -
,
,

There can't be a negative width of the walkway, hence our solution should be ( in exact terms )
. The approximated value however is 3.5081...or approximately 3.5 feet.
|-12| is greater than 1
The absolute value brackets make the -12 positive, 12>1.
True
Answer:
Please find attached the required graph and
Step-by-step explanation:
The values for the information given can be written down as follows;
Time, seconds Volume mL
0, 500
12, 450
24, 400
36, 350
48, 300
60, 250
72 250
84 250
96 250
108 250
120 250
132 250
144 250
156 250
168 250
180 250
192 250
204 250
216 250
228 250
240 250
252 250
264 250
276 250
288 250
300 250
312 225
324, 200
336, 175
348, 150
360, 125
372, 100
384, 75
396, 50
408, 25
420, 0