9514 1404 393
Answer:
156 cm³
Step-by-step explanation:
The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.
The front face area is the sum of the triangle area and the rectangle area.
A = 1/2bh + LW
A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²
Then the volume is ...
V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks
328 because 82/3 multiplied by 12 is 328 and you do that because there's 12 months in a year and if you spend 82/3 hours per month playing soccer than you would multiply that by 12 which gives you 328 hours.
Answer:
Q1: 77°, Q2: 103°, Q3: 257°, Q4: 283°
Step-by-step explanation:
Note: Q1 = Quadrant 1
Q1: 77°
Q2: 180° - 77° = 103°
Q3: 180° + 77° = 257°
Q4: 360° - 77° = 283°
Answer:
y = 2x^2 - 12x + 27
Step-by-step explanation:
<u>Step 1: Distribute the power</u>
y = 2(x - 3)² + 9
y = 2(x^2 - 6x + 9) + 9
y = 2x^2 - 12x + 18 + 9
y = 2x^2 - 12x + 27
Answer: y = 2x^2 - 12x + 27
Answer:
- A. (x + 16) + (6x − 4) = 180
Step-by-step explanation:
Inscribed quadrilateral has opposite angles supplementary.
<u>So</u>
or
<u>Since</u>
- m∠A = x + 16,
- m∠B = x,
- m∠C = 6x - 4,
- m∠D = 2x + 16
we can use either pair of angle measures to work out the value of x and then find the value of each angle.
<u>We can verify the first option is the only correct one.</u>
- m∠A + m∠C = 180°
- (x + 16) + (6x − 4) = 180
