Answer:First, draw a picture.
Distance on ground = 10 feet
Length of ladder (hypotenuse) = x [unknown for now]
Height on wall = x-2
The Pythagorean theorem says, for a right triangle: a2+b2=c2
[note: the hypotenuse, c, is always the longest side]
102 + (x-2)2 = x2
100 + x2 -4x + 4 = x2 [expand using F-O-I-L]
100 -4x + 4 = 0 [subtract x2 from both sides]
104 - 4x = 0 [collect terms]
-4x = -104 [subtract 104 from both sides]
x = 26 [divide both sides by (-4)]
Check:
Is 102 + 242 = 262 ?
100 + 576 = 676 ?
676 = 676 ?yes
Step-by-step explanation:
If she'd had 25 hits, her score would have been 225. Every miss reduces this by 16. The total reduction was 225 - 33 (i.e., 192), which represents 192/16 (12) misses. She had 13 hits, scoring 117 but 12 misses, losing 84. Net score 117 - 84 = <span>3.03</span>
A possible solution of the system of inequalities is 5 dimes and, 8 nickels
<h3>How to determine a possible solution?</h3>
From the question, the given parameters are:
Number of coins = Not less than 12
Worth = At most $0.95
Represent dime with x and nickels with y
So, we have the following inequalities
x + y >= 12
0.1x +0.05y <= 0.95
Next, we plot the graph of the inequalities (see attachment)
From the graph, we have a possible solution to be (5, 8)
This is so because this point is in the shaded region
Read more about inequalities at
brainly.com/question/25275758
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Answer:
1 6/9
Step-by-step explanation:
Is 105 - 42 = 63.
The answer is B. 63