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
Surface Area of a Cone = (pi)*(radius)*(radius) + (pi)*(radius)*(length)
radius = 5
length = 10
SA = 25pi + 50pi = 75pi or about 235.619
Answer:
10.7cm
Step-by-step explanation:
x^2= 115
x = √115
x = 10.7
Answer: f(x) = -3x + 1
So the slope is -3 and the y-intercept is 1
Step-by-step explanation:
This is because it’s across the y-axis so the y-intercept doesn’t change. Because it’s a reflection the slope just becomes the opposite of what it originally was, so in this case it will be -3
Step-by-step explanation:
Given
![= \frac{1.5 \times {10}^{4} \times 4.5 \times {10}^{3} }{2.5 \times 10 ^{2} } \\ = \frac{6.75 \times {10}^{4 + 3} }{2.5 \times {10}^{2} } \\ = \frac{6.75 \times {10}^{7} }{2.5 \times {10}^{2} } \\ = 2.7 \times {10}^{7 - 2} \\ = 2.7 \times {10}^{5}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1.5%20%5Ctimes%20%20%7B10%7D%5E%7B4%7D%20%5Ctimes%204.5%20%5Ctimes%20%20%7B10%7D%5E%7B3%7D%20%20%7D%7B2.5%20%5Ctimes%2010%20%5E%7B2%7D%20%7D%20%20%5C%5C%20%3D%20%20%5Cfrac%7B6.75%20%5Ctimes%20%20%7B10%7D%5E%7B4%20%2B%203%7D%20%7D%7B2.5%20%5Ctimes%20%20%7B10%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%5Cfrac%7B6.75%20%5Ctimes%20%20%7B10%7D%5E%7B7%7D%20%7D%7B2.5%20%5Ctimes%20%20%7B10%7D%5E%7B2%7D%20%7D%20%5C%5C%20%20%3D%202.7%20%5Ctimes%20%20%7B10%7D%5E%7B7%20-%202%7D%20%20%5C%5C%20%20%3D%202.7%20%5Ctimes%20%20%7B10%7D%5E%7B5%7D%20)
Hope it will help :)