Answer:
53424
Step-by-step explanation:
that is the answer
the first 30 people leaving the local hamburger stand
a random group of 40 people on the street
a random group of 5 people at a grocery store
Answer:
c, or 40
Step-by-step explanation:
edge test
Answer:
b. squareroot 26
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
9x4-(2x12)
= 36-24
= 12
a.) Accurately sketch the plane on the set of axes, showing all your calculations below.
b.) The three planes of the axes and the plane you have sketched create a triangular pyramid. Find the volume of this pyramid, showing the formula you are using and all
calculations below.
My Answer:
a. I started off by finding my x-intercept. To find my x-intercept I substituted y and z with 0. So: x + 3(0) + 2(0) = 6. After multiplying and adding, I end up with x = 6. So my x-intercept is (6, 0, 0,). T find my y-intercept I substituted x and z with 0. So: 0 + 3y + 2(0) = 6. After multiplying and adding, we come up with 3y = 6. Now we divide each side by 3 to get y = 2. So my y-intercept is (0, 2, 0). To find my z-intercept, I substituted x and y with 0. So, 0 + 3(0) + 2z = 6. After multiplying and adding, I get 2z = 6. Now I divide each side by 2 to get z = 3. So my z-intercpet is (0, 0, 3). After I plotted the points and connected them, they formed a triangular pyramid.
So thats how much i got. I cant seem to figure out how to get the volume. please help.
Answer:
Volume of the pyramid = 6 cubic units
Step-by-step explanation:
The volume of a triangular pyramid is: V = (1/3)*A*H
where A is the area of the triangle base, and H is the height of the pyramid.
Taking the triangle formed in the x-y plane as the base, its area is computed as follows:
A = (1/2)*6*2 = 6 square units
where 6 and 2 are the measure of the two perpendicular sides of the triangle. This is taken from the x-intercept point (6, 0, 0) and y-intercept point (0, 2, 0).
The height of the pyramid is then the measure of the z-intercept point (0, 0, 3), that is, 3. Replacing in volume formula:
V = (1/3)*A*H
V = (1/3)*6*3
V = 6 cubic units
Answer:
Step-by-step explanation:
Use the law of cosines:
Using law of cosines