GEOMETRY. PLEASE CHECK MY ANSWER! THANKS.Mario’s company makes unusually shaped imitation gemstones. One gemstone had 12 faces and 10 vertices. How many edges did the gemstone have?
A. 23 edges
B. 22 edges
C. 25 edges
D. 20 edges****
Answers
we should have a knowledge of the Euler's Theorem/Euler's Formula
F+V=E+2
Basically states that:
# of Faces+ # of Vertices= # of Edges+2
12 + 10 = E + 2
(-2) + 22 = E + 2 (-2)
20 = E
Yep, The answer is D. 20 edges
Related Questions
Use reference angles to find the exact value of tan 405 deg
Which statement is not a step used when constructing an inscribed hexagon? swing two arcs above and below the radius. keep your compass at the width equal to the radius of the circle. place the compass on the point where the circle and radius intersect. swing an arc the length of the radius from the point on the circle.
Solve for p, w = Q+P-------Q-QP
What is 22/52 reduced into a fraction
Answers
The equation 36x^2 + 25 = 0 possesses no real solutions; however, it yields two complex roots: x = (5/6)i and x = -(5/6)i.
The equation provided, 36x^2 + 25 = 0, is a quadratic equation in one variable, x. To solve it, we'll first isolate the x^2 term:
36x^2 = -25
Next, we'll divide both sides by 36:
x^2 = -25/36
Taking the square root of both sides, we get:
x = ±√(-25/36)
Since the square root of a negative number is imaginary, there are no real solutions to this equation. This means that the equation 36x^2 + 25 = 0 has no real roots, but it does have complex roots in the form of x = ±(5/6)i, where i is the imaginary unit.
The equation 36x^2 + 25 = 0 has no real solutions, but it does have two complex solutions: x = (5/6)i and x = -(5/6)i.
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36x² - 25 = 0
(6x)² - 5² = 0
(6x + 5)(6x - 5) = 0 By difference of two squares.
6x + 5 = 0 or 6x - 5 = 0
6x = -5 6x = 5
x = -5/6 x = 5/6
x = +5/6 or - 5/6
Answers
Answer:
1440°
Step-by-step explanation:
Each exterior angle of a 10 sided regular polygon =360/10=36°
Each interior angle = 180°-36° =144°.
Sum of all interior angles = 144°×10. = 1440°.
Answers
In the aerobics classes of 4 will the cost for members and nonmember be the same.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class.
And, Nonmembers pay $6 for each aerobic class.
Now,
We can formulate;
For members, the cost = $8 + 4x
Where, x is the aerobic class.
For nonmembers;
The cost = 6x
We can equate both the equation, we get;
6x = 8 + 4x
Solve for x as;
6x - 4x = 8
2x = 8
x = 4
Thus, In the aerobics classes of 4 will the cost for members and nonmember be the same.
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For every member lesson, they pay $4, so they will be represented as 4a
For every non member lesson, they pay $6, so they are 6a
Don't forget members have to pay $8 at the start, so they have to be 4a + 8
So
4a + 8 = 6a is our final equation
Move the 'a's to one side, by subtracting 4a from each side, giving you
8 = 2a
Divide by 2 to isolate a
4 = a
After 4 aerobics classes, the cost will be the same
Answers
Here, Diameter (2r) = 12, so radius (r) = 12/2 = 6 feet
Substitute it into the formula,
V = 4/3 π(6)³
V = 4/3 *216π
V = 288π Ft² [ Answer in the term of π ]
You can also solve it for numeral value by substituting the value of π = 22/7
V = 288 * 22/7 = 905.15 Ft² [ Answer in numbers ]
Hope this helps!
The volume of the sphere is 905.15 square feet.
Given
A sphere has a diameter of 12 feet.
What is the volume of the sphere?
The volume here depends on the diameter of the radius of the sphere since if we take the cross-section of the sphere, it is a sphere.
The surfacearea of the sphere is the area or region of its outer surface.
The volume of the sphere is calculated by the following formula;
Where r is the radius of the sphere.
The radius of the sphere is given by;
Therefore,
The volume of the sphere is;
Hence, the volume of the sphere is 905.15 square feet.
To know more about the Volume of the sphere click the link given below.
Answers
c=cats
d equals 4 less than 2 times c
d=-4+2c
20 dogs
d=20
subsitute
20=-4+2c
add 4
24=2c
divide 2
12=c
12 cats
II
III
IV
Answers
Answer:
III
Step-by-step explanation:
- 14 tell you that you should be moving left of (0,0) That makes the answer either in quad 2 or quad 3.
- 5i tells you that you are moving down. That tells you that you are moving down.
You are in quad III. It the question was -14 + 5i, you would be moving left and up. That would put you in quad II.
Answer: III
Step-by-step explanation: on edg