384 in³
the volume (V) of a cuboid = length × width × height
V = 12 × 4 × 8 = 384 in³ ← fourth on list
Answer:
-6.5
Step-by-step explanation:
-2(p - 1) = 15
-2p + 2 = 15
-2p = 13
p = -6.5
Let, one leg be x units.
since the other leg is 9.0 units shorter than the other,
the measure of the other leg =x-9
hypotenuse =13.0 units
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.
x^2 +(x-9)^2 =13^2
x^2 + x^2 -18x +81 = 169
2x^2-18x-88=0
Divide the whole equation by 2
x^2 - 9x -44 =0
Let's use the quadratic formula to find the roots.
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a
a=1 b=-9 c=-44
x= [9±sqrt(81+176)]/2
=[9±sqrt(257)]/2
=[9±16.03]/2
=25.03/2 or -7.03/2
length of a triangle cannot be negative,
Therefore, x=25.03/2 =12.52
one leg =12.5 units
other leg =12.52-9 =3.5 units
Answer:
Actual distance represented by 5.5 inch of map distance is
miles
Step-by-step explanation:
Given,
The scale of map -
1 inch on map is equal to 35 miles.
Distance measured by mike on map is equal to 5.5 inch
Actual distance represented by 5.5 inch of map distance is
miles
