Answer:
The total amount paid by Gabriel at the local gas station is $70.49.
Step-by-step explanation:
Cost of gasoline per gallon = $2.75
Cost of diesel per gallon = $3.02
Amount of gasoline Gabriel needs = 15.2 gallons
Amount of diesel Gabriel needs = 9.5 gallons
Compute the total amount paid by Gabriel at the local gas station as follows:
Total Cost = Cost of gasoline × Amount of gasoline
+ Cost of diesel × Amount of diesel
Thus, the total amount paid by Gabriel at the local gas station is $70.49.
Answer:
The first one:
−8x4−14x2−3
Step-by-step explanation:
(-4•2-1)(2•2+3)
-4•2 = -8
-8 - 1 = -9
(-9)(2•2+3)
2•2 = 4
4+3 = 7
(-9)(7) = -63
Now we find the one that equals -63:
-8•4-14•2-3
(-8•4)-14•2-3
-32-14•2-3
-32-(14•2)-3
-32-28-3
(-32-28)-3
-60-3
-60-3 = -63
BAM! THE ANSWER!
A right triangle has one leg with unknown length, the other leg with length of 5 m, and the hypotenuse with length 13 times sqrt 5 m.
We can use the Pythagorean formula to find the other leg of the right triangle.
a²+b²=c²
Where a and b are the legs of the triangle and c is the hypotenuse.
According to the given problem,
one leg: a= 5m and hypotenuse: c=13√5 m.
So, we can plug in these values in the above equation to get the value of unknown side:b. Hence,
5²+b²=(13√5)²
25 + b² = 13²*(√5)²
25 + b² = 169* 5
25+ b² = 845
25 + b² - 25 = 845 - 25
b² = 820
b =√ 820
b = √(4*205)
b = √4 *√205
b = 2√205
b= 2* 14.32
b = 28.64
So, b= 28.6 (Rounded to one decimal place)
Hence, the exact length of the unknown leg is 2√205m or 28.6 m (approximately).
Answer:
96
Step-by-step explanation:
Because the perimeter of a rectangle is 2 * (length) + 2 * (breadth),
P = 2 * 28 + 2 * 20
P = 56 + 40 = 96
