2,500 principal earning 4% compounded quarterly after 4 years
Answers
A=2500(1+4/400)^16
A=2931.45
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How many triangles can be constructed with angles measuring 120°, 40°, and 10°?
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.
Answers
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
x + 3y + 2z = 6
x + 3(0) + 2(0) = 6
x + 0 + 0 = 6
x + 0 = 6
- 0 - 0
x = 6
X - Intercept: (6, 0, 0)
Y - Intercept
x + 3y + 2z = 6
0 + 3y + 2(0) = 6
0 + 3y + 0 = 6
0 + 0 + 3y = 6
0 + 3y = 6
- 0 - 0
3y = 6
3 3
y = 2
Y - Intercept: (0, 2, 0)
Z - Intercept
x + 3y + 2z = 6
0 + 3(0) 2z = 6
0 + 0 + 2z = 6
0 + 2z = 6
- 0 - 0
2z = 6
2 2
z = 3
Z - Intercept: (0, 0, 3)
Volume of the X - Intercept, Y - Intercept, and Z - Intercept
V = ¹/₃(¹/₂lwh)
V = ¹/₃(¹/₂(6)(2)(3))
V = ¹/₃(¹/₂(12)(3))
V = ¹/₃(¹/₂(36))
V = ¹/₃(18)
V = 6 u³
Answers
Hello,
d)
The tangential angle of mesure x intercept the same arc intercepted by the inscribed angle of mesure 70 have the same mesure:
x=70°
e)
There is a rectanglar triangle with a angle of 64°
The complement is 90°-64°=26°
The inscribed angle of mesure x has a mesure which is the half of the center angle of 26°
So x=13°
I hope i have used the right words in my answer.
4 x 10^6
A) 3.0 x 1018
B) 3.0 x 1010
C) 3.0 x 10-10
D) 3.0 x 10-9
Answers
3.0x
C
Answers
Hope this helps and if it does, happy studying and don't forget to mark as brainliest.
B. 2 1⁄4
C. 2 1⁄2
D. 3
Answers