Answer:
1/8
Step-by-step explanation:
.5x.25=.125
1 divided by 8 equals .125
Answer:
angle A=30°
Step-by-step explanation:

In order to solve this problem, you need to use a geometric series:

where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5
Therefore,
<span>

= 219783.60 $
Luke's total earnings in five years are
<span>
219783.60 $.</span>
</span>
Answer:
Thus, it is possible to erect a pole at a point p on the boundary of the park at distances 5m and 12m respectively from gates B and A.
Step-by-step explanation:
Let P be the required location of pole .
A and B are the two gates.
Let the distance of pole at p from gate be 'x' meters
i.e. PB = x m
•°• AP = (x + 7)m and AB = 13 m
•°• AP² + BP² = AB² => (x +7)² + x =13²
Rejecting x =-12, we get x = 5
•°• PB = 5m
and
AP = 12m
(I hope this helped :)
9514 1404 393
Answer:
- area 36 ft²
- perimeter 30 ft
Step-by-step explanation:
The area can be decomposed into a rectangle and a trapezoid.
The rectangle is 2' by 5', so has area ...
A = LW
A = (5 ft)(2 ft) = 10 ft²
The trapezoid has bases 8 ft and 5 ft, and height 4 ft, so its area is ...
A = 1/2(b1 +b2)h
A = 1/2(8 ft +5 ft)(4 ft) = 26 ft²
Then the total area of the figure is ...
total area = 10 ft² +26 ft² = 36 ft²
__
The slant side of the trapezoid is the hypotenuse of a triangle with sides 3 and 4. The Pythagorean theorem tells us its length is ...
c = √(a² +b²) = √(3² +4²) = √25 = 5
The perimeter of the figure is the sum of the side lengths. Working clockwise from the top, that sum is ...
P = 5 + 4 + 2 + 2 + 5 + 2 + 5 + 5 = 30 . . . feet
The perimeter of the figure is 30 feet.