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Wewaii [24]
3 years ago
6

If a polyhedron has 5 faces and 7 vertices, then it must have how many edges? Please show step-by-step work

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Answer:

10 edges

Step-by-step explanation:

we know that

The Euler's formula state that: In a polyhedron, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

V - E + F = 2

in this problem  we have

V=7\\E=?\\F=5

substitute the given values

7 - E + 5 = 2

solve for E

Combine like terms in the left side

12 - E = 2

subtract 12 both sides

- E = -10

Multiply by -1 both sides

E =10

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A -5/4<br> B -8/10<br> C 3/4<br> D -5/3
Ede4ka [16]
Well let's remember csc = hypotenuse/opposite

Let's use the distance formula to find the length of the hypotenuse.
<span><span><span><span>√(0−−8)^</span>2</span>+<span><span>(−6−0)^</span>2
</span></span>√</span><span><span><span><span>(0+8)^</span>2</span>+<span><span>(−6+0)^</span>2
</span></span>√</span><span><span><span><span>(8)^</span>2</span>+<span><span>(−6)^</span>2
</span></span>√</span><span><span>64+36
</span>√</span><span>100
H = 10

so csc = 10/opposite

Now to find the opposite length using distance formula
</span>√(0−−8)^2+(0−0)^2
√(0+8)^2+(0+0)^2
√(8)^2+(0)^2
√64+0
√64
O = 8

So csc = 10/8 or 1.25
3 0
3 years ago
What is the value for x?<br><br><br><br> Enter your answer in the box.<br><br> x = ____
vlada-n [284]

180 - 73-73 =34

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x = 30/6

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7 0
3 years ago
Mrs. Julien’s and Mrs. Castillejo’s classes are selling cookie dough for a school fundraiser. Customers can buy packages of maca
Oksi-84 [34.3K]

Answer: the cost of one package of macadamia nut chip cookie dough is $1.5

the cost of one package of triple chocolate cookie dough is $2.5

Step-by-step explanation:

Let x represent the cost of one package of macadamia nut chip cookie dough.

Let y represent the cost of one package of triple chocolate cookie dough.

Mrs. Julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $112.50. This means that

25x + 30y = 112.5 - - - - - - - - - - - - -1

Mrs. Castillejo’s class sold 8 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $124.50. This means that

8x + 45y = 124.5 - - - - - - - - - - -2

Multiplying equation 1 by 8 and equation 2 by 25, it becomes

200x + 240y = 900

200x + 1125 = 3112.5

Subtracting, it becomes

- 885y = - 2212.5

y = - 2212.5/- 885

y = 2.5

Substituting y = 2.5 into equation 1, it becomes

25x + 30 × 2.5 = 112.5

25x + 75 = 112.5

25x = 112.5 - 75 = 37.5

x = 37.5/25 = 1.5

The method used is the elimination method. It is more convenient to use.

8 0
4 years ago
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