Answer:
x=5
Step-by-step explanation:
4(−1)+3=31
4−4+3=31
The answer is d. The reason this is the answer is because to find the area of a triangle you will find half of the base times the height. The formula looks like this: A=1/2bh.
On this picture the base is the length of the bottom part of the triangle (c). It is the distance of the solid line only.
The height is represented as the straight line that is perpendicular to the base (forms a right/90 degree angle). X is the height of the triangle.
Therefore, 1/2cx is the answer.
Answer:
Total surface area = 434 cm²
Total volume = 470 cm³
Step-by-step explanation:
1. The prism can be decomposed into two rectangular prisms which are the bigger rectangular prism and the smaller rectangular prism
✔️Total surface area of the prism = (surface area of the bigger prism - area of the face joined to the smaller prism) + (surface area of the smaller prism - area of the face joined to the bigger prism)
Surface Area of bigger prism = 2(LW + LH + HW)
L = 10 cm
H = 8 cm
W = 9 - 5 = 4 cm
Area of bigger rectangular prism = 2(10*4 + 10*8 + 8*4)
= 304 cm²
Surface area of the smaller prism = 2(LW + LH + HW)
L = 10 cm
H = 3 cm
W = 5 cm
Area of bigger rectangular prism = 2(10*5 + 10*3 + 3*5)
= 190 cm²
Area of the face joining both rectangular prisms = L*W
L = 10 cm
W = 3 cm
Area = 10*3 = 30 cm²
✅total surface area of the prism = (304 - 30) + (190 - 30) = 274 + 160 = 434 cm²
2. Volume of the prism = volume of the bigger rectangular prism + volume of the smaller rectangular prism
✔️Volume of the bigger rectangular prism = L*W*H
L = 10 cm
H = 8 cm
W = 9 - 5 = 4 cm
Volume = 10*8*4 = 320 cm³
✔️✔️Volume of the bigger rectangular prism = L*W*H
L = 10 cm
H = 3 cm
W = 5 cm
Volume = 10*3*5 = 150 cm³
✅Total Volume of the prism = 320 + 150 = 470 cm³
The formula for solving the area of a regular decagon is shown below:
A=(5/2)a²√(5+2√5)
where "a" refers to the measurement of the side on which in this problem, it is equal to 9.3 units
We can proceed in solving for the area and the solution is shown below:
A=(5/2)*(9.3)²√(5+2√5)
A=665.47 square units
The answer is 665.47 square units.
