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sergey [27]
4 years ago
8

A convex polyhedron has (a + 3) faces, (2a) vertices, and (4a – 1) edges. What is the value of a? a =

Mathematics
2 answers:
PSYCHO15rus [73]4 years ago
7 0

Answer:

a = 2

Step-by-step explanation:

BECAUSE I'M CORRECT!

rusak2 [61]4 years ago
4 0
Number of faces: F=a+3
Number of vertices: V=2a
Number of edges: E=4a-1

V+F-E=2
Replacing V=2a; F=a+3; and E=4a-1 in the formula above:
(2a)+(a+3)-(4a-1)=2
Eliminating parentheses:
2a+a+3-4a+1=2
Adding similar terms:
(2+1-4)a+(3+1)=2
(-1)a+4=2
Solving for a. Subtracting 4 both sides of the equation:
(-1)a+4-4=2-4
(-1)a=-2
Dividing both sides by (-1)
(-1)a/(-1)=-2/(-1)
a=2

Answer: The value of a is: a=2

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If 1/8 of my money is $80. What is 50 % of my money
Rufina [12.5K]

Answer:

$320

Step-by-step explanation:

An easy way to solve this problem is to undo the operations, Find the total amount of money, and then find half of the amount. Since (80) is (\frac{1}{8}) the total amount of money, one has to multiply (80) by (8) to find the total amount of money.

(80) * (8)

= 640

Now one is asked to find (50%) of the money. It is known that (50%) is equivalent to (0.5), therefore multiply (640) by (0.5) to find how much (50%) of the money is.

(640) * (0.5)

= 320

8 0
3 years ago
Using number line what is 4-5​
Vinil7 [7]

Answer:

<h2>-1</h2>

Step-by-step explanation:

4 - 5 = -1

Count:

4, 3, 2, 1, 0, <u>-1</u>

6 0
3 years ago
67.5 billion in scientific notation
AfilCa [17]

Answer:

6.75 × 10^10

Step-by-step explanation:

4 0
3 years ago
Matrices consist of columns and rows.<br> True<br> O False
Romashka [77]

Answer:

True

Step-by-step explanation:

I remembered learning this definition for a matrix:

A Matrix is an arrangement of numbers into rows and columns

so yes matrices consist of rows and columns

4 0
3 years ago
Holli's house is located at (−1, 4). She can walk in a straight line to get to Jedd's house. A fast food restaurant is located a
GrogVix [38]

Answer:

The coordinates of Jedd's house is   (-5, 0)

Step-by-step explanation:

Given;

Location of Holli's House =  (−1, 4)

Location of  fast food restaurant = (−3, 2)

To Find:

The coordinate of Jedd's house.

Solution:

If  the distance between the two points   (x_{1},y_{1}) and (x_{2},y_{2}) is divided by the point (x,y) in the ratio of m : n then

x=\frac{x_{1}n+x_{2}m}{m + n}

y=\frac{y_{1}n+y_{2}m}{m + n}

Hollis house is located at (-1 , 4)

So, (x_{1},y_{1}) = (-1 , 4)

She  walks in a straight line to get to Jedds house

The restaurant is located at (-3 , 2) and partitions the way from

(x , y) = (-3 , 2)

The ratio of  Hollis house to Jedds house  is 1 : 1

 (m : n) = 1 : 2

Lets consider that Jedds house is located at (x_{2},y_{2})

Then x_2 will be

-3=\frac{-1(1)+x_{2}(1)}{1+1}

-3=\frac{-1 +x_{2}}{2}

-3 \times 2=-1 +x_{2}

-6 = -1 +x_{2}

-6 = -1 +x_{2}

-5 =  x_{2}

Now y_{2} will be

2=\frac{4(1)+y_{2}(1)}{1+1}

2=\frac{4+y_{2}}{2}

2 \times 2=4+y_{2}

4 = 4+y_{2}

4  - 4 = y_{2}

y_{2} = 0

∴ The coordinates of Jedd's house is (-5, 0)

5 0
3 years ago
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