Answer:
1. a) Square
2. c) Rectangle
Step-by-step explanation:
1. If you cut this rectangular prism in way to be PERPENDICULAR to the base, that means you're cutting it straight down, from the top to the bottom, in a vertical line. The cross-section obtained will be just like an end of the prism, which in this case is a square. Because it's a regular rectangular prism, no matter where you cut it, as long as it's vertical, perpendicular to the base, you'll get a square due to this particular form. Technically, the answer could also be a rectangle, since a square is a rectangle.
2. you cut this rectangular prism in way to be PARALLEL to the base, that means you're cutting it straight, from the front to the back, in an horizontal line. The cross-section obtained will be just like an top of the prism, which in this case is a rectangle. Because it's a regular rectangular prism, no matter where you cut it, as long as it's an horizontal line, parallel to the base, you'll get a rectangle due to this particular form.
Answer:
Step-by-step explanation:
The vector in component form is the difference of the coordinates of its end points:
rock - ship = (4, 7) - (1, 0) = (3, 7) . . . . vector from ship to rock
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The angle from North can be found using the tangent relation:
tan(bearing) = (east distance)/(north distance) = 3/7
bearing = arctan(3/7) ≈ 23.1986°
The bearing of the rock is 23.20°.
You first separate the triangle from the rectangle. Then multiply one side be one side.
Answer:
1/40
Step-by-step explanation:
Probability: (number of ways to achieve the desired result / number of possible results)
For example, if we want a coin to land on heads:
We know there is one way for it to land on heads and two possible outcomes. Thus, the possibility of flipping a head is 1/2.
Using this, we know that there are 5 grey marbles (the desired result) and there are (5 + 3 + 6 + 2 + 4) total possible outcomes. The probability of drawing a grey marble is then:
5 / (5 + 3 + 6 + 2 + 4) =
5/20 =
1/4
We also know that there are 2 yellow marbles, so the probability of drawing one would be: 2 / 20 = 1/10
To find the probability of both of these events happening right after each other, multiply the probability of them each happening together.
1/4 * 1/10 = 1/40 chance of picking a grey marble and then a yellow marble.
It’s (-8z^2 +8x +4y -2z)
Hope it helps
