The answer is 4p i believe. (3+5p) is 8 and (1-5p) is -4, so 8p - 4p is 4p
Answer:
volume = 450 mm³
Step-by-step explanation:
Given:
- height = 18 mm
- area of base = 25 mm²
Volume of a rectangular prism = area of base x height
⇒ volume = 25 x 18 = 450 mm³
Given that JKLM is a rhombus and the length of diagonal KM=10 na d JL=24, the perimeter will be found as follows;
the length of one side of the rhombus will be given by Pythagorean theorem, the reason being at the point the diagonals intersect, they form a perpendicular angles;
thus
c^2=a^2+b^2
hence;
c^2=5^2+12^2
c^2=144+25
c^2=169
thus;
c=sqrt169
c=13 units;
thus the perimeter of the rhombus will be:
P=L+L+L+L
P=13+13+13+13
P=52 units
This problem can be completed in 2 ways. Both are acceptable.
Option 1:This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.
The area of the rectangle is the base times the height.

The area of one of the triangles is half the base times the height.

The other triangle must have that area too.

The area is 56 square centimeters.
Option 2:We can use the area formula for the trapezoid.

Where

is the length of the shorter base
and

is the length of the longer base
and

is the height.
The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.
The height is 4.


Same answer. The area is 56 square centimeters.
Both options are two acceptable ways the problem can be tackled.
Answer:
x = 45/8
Step-by-step explanation:
8x – 3y = 36
Let y=3
8x – 3*3 = 36
8x - 9 = 36
Add 9 to each side
8x -9+9 = 36+9
8x = 45
Divide each side by 8
8x/8 = 45/8
x = 45/8