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Maurinko [17]
3 years ago
8

Use Euler’s Formula to find the missing number. Faces: 8 Edges: _____ Vertices: 6

Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

The number of edges is E=12

Step-by-step explanation:

we know that

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

so

V- E + F = 2

In this problem we have

F=8, V=6

substitute and solve for E

6- E + 8 = 2

E=6 + 8 -2=12

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Porky the pig weighs 1,125 lbs. Less than Kobe the Cow. After each gains 50lbs. Kobe the Cow will weigh ten times as much as por
Papessa [141]

Answer:

Step-by-step explanation:

Let x represent the initial weight of Porky the pig.

Porky the pig weighs 1,125 lbs less than Kobe the Cow. This means that the initial weight of Kobe the cow is

x + 1125

After each gains 50lbs. Kobe the Cow will weigh ten times as much as porky the pig. This means that

(x + 1125) + 50 = 10(x + 50)

x + 1125 + 50 = 10x + 500

10x - x = 1125 + 50 - 500

9x = 675

x = 675/9

x = 75

Porky's current weight is

75 + 50 = 125 lbs

Kobe's current weight is

(75 + 1125) + 50

= 1250 lbs

4 0
3 years ago
In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.
Nutka1998 [239]

​

<u><em>28.1 feet</em></u>

<u><em></em></u>

<em><u>explaination</u></em>

<u><em>\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}</em></u>

<u><em>cosU= </em></u>

<u><em>hypotenuse</em></u>

<u><em>adjacent</em></u>

<u><em>​ </em></u>

<u><em> = </em></u>

<u><em>x</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>\cos 70=\frac{9.6}{x}</em></u>

<u><em>cos70= </em></u>

<u><em>x</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>x\cos 70=9.6</em></u>

<u><em>xcos70=9.6</em></u>

<u><em>Cross multiply.</em></u>

<u><em>\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}</em></u>

<u><em>cos70</em></u>

<u><em>xcos70</em></u>

<u><em>​ </em></u>

<u><em> = </em></u>

<u><em>cos70</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>Divide each side by cos 70.</em></u>

<u><em>x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}</em></u>

<u><em>x= </em></u>

<u><em>cos70</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> =28.0685≈28.1 feet</em></u>

<u><em>Type into calculator and roundto the nearest tenth of a foot.</em></u>

8 0
2 years ago
UVOISINOULLIV HU
Gala2k [10]
<h3>Total snow fall for three days is 8.75 inches</h3>

<em><u>Solution:</u></em>

Given that,

Snow fell over the past three days

First\ day = 3\frac{2}{4}\ inches = \frac{14}{4}\ inches\\\\Second\ day = 3\frac{2}{4}\ inches = \frac{14}{4}\ inches\\\\Third\ day = 1\frac{3}{4}\ inches = \frac{7}{4}\ inches

<em><u>What was the total snowfall for the three days?</u></em>

Total snowfall = first day + second day + third day

Total\ snowfall = \frac{14}{4} + \frac{14}{4} + \frac{7}{4}\\\\Total\ snowfall = \frac{14 + 14 + 7}{4}\\\\Total\ snowfall = \frac{35}{4} \text{ or } 8.75\ inches

Thus total snow fall for three days is 8.75 inches

5 0
3 years ago
Which equation best represents the relationship between x and y ?
Klio2033 [76]

Answer:

ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

7 0
2 years ago
A competition problem requires one hour to fully develop (write, proofread, edit, and typeset). This problem is then given to 30
Vsevolod [243]

Answer:

1250

Step-by-step explanation:

30,000/24

divide both sides by 24 to get 1250.

5 0
3 years ago
Read 2 more answers
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