Answer:
1. about 7.87 feet away
2. About 8.37 yds
Step-by-step explanation:
1. a^2+b^2=c^2
so 25+37= C^2
= 62
Square root of 62 = 7.87400787401
(About 7.87 ft away)
2. 40+30 = C^2
Square root of 70 = 8.36660026534
About 8.37
Answer:
Step-by-step explanation:
The left hand side of the equation contains proper fractions while the right hand side of the equation contains mixed fraction. The mixed fraction can be changed to improper fraction. 1 2/3 becomes 5/3
To breakdown the left hand side of the equation, we would take lowest common factor of 5 and 15. It is 15
Considering 4/5, if 15 divides 5,the result is 3. Multiplying 3 by 4 gives 12. So it becomes
12/15
Considering 13/15, if 15 divides 15,the result is 1, Multiplying 1 by 13 gives 13. So it becomes
13/15
The equation becomes
(12 + 13)/15 = 5/3
25/15 = 5/3
Simplifying 25/15 to its lowest terms, it becomes 5/3 so
5/3 = 5/3
Answer:
The value of the expression given is:
Step-by-step explanation:
First, you must divide the expression in three, and to the final, you can multiply it:
- [(3^8)*(2^(-5))*(9^0)]^(-2)
- [(2^(-2))/(3^3)]^4
- 3^28
Now, we can solve each part one by one:
<em>First part.
</em>
- 3^8 = 6561
- 2^(-5) = 0.03125
- 9^0 = 1 (Whatever number elevated to 0, its value is 1)
- (6561 * 0,03125 * 1) = 205.03125
And we elevate this to -2:
- 205.03125^-2 = 2<u>.378810688*10^(-5)</u> or <u>0.00002378810688
</u>
<em>Second part.
</em>
- 2^(-2) = 0.25
- 3^3 = 27
- 0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925
And we elevate this to 4:
- 0.00925925925925^4 = <u>7.350298528 * 10^(-9)</u> or <u>0.000000007350298528
</u>
<em>Third Part.
</em>
- 3^28 = <u>2.287679245 * 10^13</u> or <u>22876792450000</u>
At last, we multiply all the results obtained:
- 0.00002378810688 * 0.000000007350298528 * 22876792450000 = <u>3.999999999999999999</u> approximately <u>4</u>
<u><em>We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result</em></u>.
You can park in the garage for 5 hours 30 minutes
<em><u>Solution:</u></em>
Given that, shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 30 minutes)
Therefore,
Cost for first half an hour = $ 2
Cost for each additional half an hour = $ 1.20
Let "x" be the number of each additional half hour
Therefore, total cost to pay is given as:
Total cost = Cost for first half an hour + (Cost for each additional half an hour)(number of each additional half hour)
Total cost = 2 + 1.20x
<em><u>Given you have $ 8 in cash</u></em>
Total hours parked = first half an hour + 5
Thus you can park in the garage for 5 hours 30 minutes
Answer:
the first option, (-4, 6)
Step-by-step explanation:
for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.
1. (-4,6)
x + 4y > 12
-4 + 4(6) > 12
20 > 12 is true
now we can substitute the second inequality.
3(6) > -4 + 6
18 > 2 is true, therefore making this set of points true.
it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :
5 + 4(2) > 12
5 + 8 > 12
13> 12 is true
3(2) > 5 + 6
6 > 11 is not true
the rest of the answer choices are also not true.
I hope this helped you!
