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4 years ago

What is the Euler’s formula

Mathematics

1 answer:

noname [10]4 years ago

4 0

Step-by-step explanation:

F + V - E = 2 is the Euler's Formula.

Where,

F = Number of Faces

V = Number of Vertices

E = Number of Edges

of any three dimensional object except curved one.

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An ellipse has a vertex at (14, –1). The focus of the ellipse nearest that vertex is located at (8, –1). If the center of the el

zavuch27 [327]

Refer to the diagram shown below.

The right vertex is at (14, -1), and the center is at (-1, -1).
Therefore the semi-major axis is
a = 14 - (-1) = 15

The right focus is at (8, -1).
Therefore
c = 8 - (-1) = 9.

The distance of the directrix from the center is
d = c²/a = 9²/15 = 81/15 = 27/5.

Therefore the equation for the left directrix is
x = -1 - 27/5 = -32/5

Answer: x = -27/5

6 0

4 years ago

Read 2 more answers

The ratio of boys to girls in a class is 2:3. If there are 18 girls in the class, what is the probability of a boy being in the

lukranit [14]

Answer:

0.4

Step-by-step explanation:

If the ratio of boys to girls in a class is 2:3, then

there are 2x boys;
there are 3x girls.

If there are 18 girls in the class, then

$3x=18\\ \\x=6$

Thus, there are

$2\cdot 6=12$ boys;
$3\cdot 6=18$ girls;
$12+18=30$ students in total.

The probability of a boy being in the class is

$P=\dfrac{12}{30}=\dfrac{2}{5}=0.4$

7 0

3 years ago

Using appropriate properties , find 7/5 × 5/12 − 3/12 × 7/5 − 1/15

Mazyrski [523]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

$\frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6}$

8 0

3 years ago

William and his three friends went out for lunch. The bill was $34 and they left a 15% tip. They want to split the bill equally.

slavikrds [6]

Answer:

Each person will pay $9.78

Step-by-step explanation:

Given that:

Amount of bill = $34

Tip = 15%

Amount of tip = $\frac{15}{100}*34$

Amount of tip = 0.15 * 34

Amount of tip = $5.10

Amount after bill = 34 + 5.10 = $39.10

Number of people = William + three friends = 4

Per person share = $\frac{39.10}{4}$

Per person share = $9.775

Rounded to two decimal places

Per person share = $9.78

Hence,

Each person will pay $9.78

8 0

3 years ago

Write 3.6 in a word form

Anit [1.1K]

Three and six tenths

Hope I helped!

5 0

4 years ago