Answer:
p = - 5
Step-by-step explanation:
–2.5p – 20 = 9p + 37.5
combine like terms:
- 2.5p - 9p = 37.5 + 20
simplify:
- 11.5p = 57.5
p = 57.5 / -11.5
p = - 5
Answer:
length = 2x = 2(9) = 18 yds
Step-by-step explanation:
Let width = x
Let length = 2x
Area = 162 yd2
length × width = Area
2x(x) = 162
2x2 = 162
Divide by 2 on both sides of equation.
x2 = 81
Square-root both sides of equation to undo the exponent.
x = √(81)
x = 9
Substitute this x value into the initial variables.
width = x = 9 yds
length = 2x = 2(9) = 18 yds
Answer:
6.9
Step-by-step explanation:
Use the Pythagorean theorem :
a^2 + b^2 = c^2
so,
11^2 + b^2 = 13^2
121 + b^2 = 169
b^2= 48
b = 6.928
Round to the tenth : 6.9
To solve the problem we could separate the figure into three parts. First figure is a triangle, second figure is a rectangle, third figure is a triangle. See image attached.
Solve each area of the figuresFirst figure, a triangle that have 7 units long of the base, and 2 units long of the height.
a = 1/2 × b × h
a = 1/2 × 7 × 2
a = 14/2
a = 7
The area of the first figure is 7 units²
Second figure is a rectangle, the length of the rectangle is 7 units, the width of the rectangle is 4 units.
a = l × w
a = 7 × 4
a = 28
The area of the second figure is 28 units²
Third figure is a triangle, the base is 7 units long and the height is 2 units long.
a = 1/2 × b × h
a = 1/2 × 7 × 2
a = 14/2
a = 7
The area of the third figure is 7 units²
The area of the three figuresarea = first figure area + second figure area + third figure area
area = 7 + 28 + 7
area = 42
The total area of the figures is 42 units²
15.5 15.5 x 2 = 31. hope this helps