The closest estimate is 108.
The volume of a triangular prism is found using the formula
V = 1/2*b*h*H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. With our information we have:
V=1/2(12.6)(1.6)(10.75) = 108.36.
When we write a line equation in the form
m is the slope of the line, and q is the y-intercept.
Since we want the y-intercept to be -3, our line will look like
In order to fix the slope, remember that two parallel lines have the same slope. So, the slope of the given line y=2x-5 is 2, and since we want a line parallel to this line, our slope will be 2 as well.
Plugging the values, we can finish the equation:
Answer:
80
Step-by-step explanation:
The opposite angles in a cyclic quadrilateral are supplementary. The sum of the opposite angles is equal to 180˚
x+100=180
x=180-100=80
Answer:
1440
Step-by-step explanation:
6 x 8 = 48
48 x 30 = 1440
Answer: k = {8, -8}
<u>Step-by-step explanation:</u>
In order for a quadratic equation to have exactly one solution, the discriminant must equal zero. → b² - 4ac = 0
4x² + kx + 4 = 0
↓ ↓ ↓
a=4 b=k c=4
b² - 4ac = 0
k² - 4(4)(4) = 0
k² = 64
k = √64
k = ± 8
