Answer: 1: 2 x 5 = 10 2: 1.5 x 3 = 4.5 3: 0.125 x 4 = 1/4
Step-by-step explanation:
This is another one for my "impossible math question" file. All of the answer choices are wrong. (None applies.)
According to the problem statement, the length you have marked "x" in the diagram is 15 inches. If the side length of one of the pavers is "s", then the Pythagorean theorem tells us
s² + (2s)² = 15²
5s² = 225
s² = 225/5 = 45 . . . . . . the area of one square is 45 in² (not 225 in²)
Then
s = √45 = 3√5 . . . . . . . the length of one side is not 5√3
so the perimeter is
p = 4s = 4·3√5 in = 12√5 in ≈ 26.83 in . . . . not 75 inches.
The area of the 6-block L-shaped path is
total area = 6s² = 6·45 in² = 270 in² . . . . not 450 in²
And the total perimeter is 14 sides, so is
total perimeter = 14s = 14·3√5 in = 42√5 in . . . . not 60√3 in
_____
In cases like this where the answer key is incorrect, you might try asking your teacher show the class how to work the problem.
A=p (1+r)^t
A future value?
P present value 1050
r interest rate .015
t time 18/12
A=1,050×(1+0.015)^(18÷12)
A=1,073.71
m = the number of miles
30 + 0.18m ≤ 75
[They charge $30 plus $0.18 per mile(m), she can spend no more than $75. So $75 is the maximum/most she can spend, she can't spend over $75.]
Your answer is C
Now you need to find the solution of the inequality in order to graph it.
30 + 0.18m ≤ 75 Isolate "m". Subtract 30 on both sides
0.18m ≤ 45 Divide 0.18 on both sides
m ≤ 250 [this means that she can drive 250 miles on $75]
Next you need to graph it on a number line.
When the sign is ≤ or ≥, the dot is filled in
When the sign is < or >, the dot is an open circle/not filled in
m ≤ 250 [m is less than or equal to 250, so m can be 250 or any number less than 250]
The graph shows that she can only drive 250 miles or less on $75
Consider the triangle with vertices S (sink), D (dishwasher) and F (fridge). From the conditions data SD=3, SF=8 and ∠S=48°.
Use the cosine theorem to find unknown distance:
,
feet.
Then the distance between dishwasher and fridge is 6.39 feet.
Are these dimensions reasonable is up to kitchen owner))