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2 years ago

85/18 divided by 17/18

Mathematics

2 answers:

schepotkina [342]2 years ago

8 0

Your answer for this question is 5

1.) When you divide 85/18 by 17/18, the first step you want to take is switch the reciprocal.

$\frac{85}{18}$ ÷ $\frac{17}{18}$ =

$\frac{85}{18}$ × $\frac{18}{17}$

2.) When you switch the reciprocal, you then division sign is changed to times.

$\frac{85}{18}$ × $\frac{18}{17}$

3.) Now you simply multiply

$\frac{85}{18}$ × $\frac{18}{17}$ = $\frac{1530}{306}$

4.) Last step, you divide

$\frac{1530}{306}$ = 5

Hope This Helps.

Please Mark as Brainliest!!!

zmey [24]2 years ago

3 0

Answer:

Step-by-step explanation:

85 * 18 / 18 * 17

18 cancels out.

85/17

= 5

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A triangle with exterior angles is shown. A triangle sits on a line and forms 2 exterior angles on the left and right of the tri

NARA [144]

Answer:

Option 3.

Step-by-step explanation:

It is given that a triangle sits on a line and forms 2 exterior angles on the left and right of the triangle of (2h) degrees.

The top interior angle of the triangle is 40 degrees.

$\angle BAC=40$

From the given figure it is clear that

$\angle ABC+2h=180$ (Supplementary angle)

$\angle ABC=180-2h$

$\angle ACB+2h=180$ (Supplementary angle)

$\angle ACB=180-2h$

According to the angle sum property of triangle, the sum of all interior angles of a triangle is 180 degree.

$\angle ABC+\angle ACB+\angle BAC=180$

$(180-2h)+(180-2h)+40=180$

Combine like terms.

$(180+180+40)+(-2h-2h)=180$

$400-4h=180$

$-4h=180-400$

$-4h=-220$

Divide both sides by -4.

$h=\frac{-220}{-4}$

$h=55$

The value of h is 55.

Therefore, the correct option is 3.

8 0

2 years ago

Read 2 more answers

A really bad carton of eggs contains spoiled eggs. An unsuspecting chef picks eggs at random for his ""Mega-Omelet Surprise."" F

Dima020 [189]

Answer:

(a) The probability that of the 5 eggs selected exactly 5 are unspoiled is 0.0531.

(b) The probability that of the 5 eggs selected 2 or less are unspoiled is 0.3959.

Step-by-step explanation:

The complete question is:

A really bad carton of 18 eggs contains 8 spoiled eggs. An unsuspecting chef picks 5 eggs at random for his “Mega-Omelet Surprise.” Find the probability that the number of unspoiled eggs among the 5 selected is

(a) exactly 5

(b) 2 or fewer

Let X = number of unspoiled eggs in the bad carton of eggs.

Of the 18 eggs in the bad carton of eggs, 8 were spoiled eggs.

The probability of selecting an unspoiled egg is:

$P(X)=p=\frac{10}{18}=0.556$

A randomly selected egg is unspoiled or not is independent of the others.

It is provided that a chef picks 5 eggs at random.

The random variable X follows a Binomial distribution with parameters n = 5 and p = 0.556.

The success is defined as the selection of an unspoiled egg.

The probability mass function of X is given by:

$P(X=x)={5\choose x}(0.556)^{x}(1-0.556)^{5-x};\ x=0,1,2,3...$

(a)

Compute the probability that of the 5 eggs selected exactly 5 are unspoiled as follows:

$P(X=5)={5\choose 5}(0.556)^{5}(1-0.556)^{5-5}\\=1\times 0.05313\times 1\\=0.0531$

Thus, the probability that of the 5 eggs selected exactly 5 are unspoiled is 0.0531.

(b)

Compute the probability that of the 5 eggs selected 2 or less are unspoiled as follows:

P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)

$=\sum\imits^{2}_{x=0}{{5\choose 5}(0.556)^{5}(1-0.556)^{5-5}}\\=0.0173+0.1080+0.2706\\=0.3959$

Thus, the probability that of the 5 eggs selected 2 or less are unspoiled is 0.3959.

(c)

Compute the probability that of the 5 eggs selected more than 1 are unspoiled as follows:

P (X > 1) = 1 - P (X ≤ 1)

= 1 - P (X = 0) - P (X = 1)

$=1-\sum\limits^{1}_{x=0}{{5\choose 5}(0.556)^{5}(1-0.556)^{5-5}}\\=1-0.0173-0.1080\\=0.8747$

Thus, the probability that of the 5 eggs selected more than 1 are unspoiled is 0.8747.

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1 year ago

The standard form of the equation of a parabola is x = y2 + 10y + 22. What is the vertex form of the equation?

iVinArrow [24]

From the conics form of the equation, shown above, I look at what's multiplied on the unsquaredpart and see that 4p = 4, so p = 1. Then the focus is one unit above the vertex, at (0, 1), and the directrix is the horizontal line y = –1, one unit below the vertex.

vertex: (0, 0); focus: (0, 1); axis of symmetry: x = 0; directrix: y = –1

Graph y2 + 10y + x + 25 = 0, and state the vertex, focus, axis of symmetry, and directrix.

Since the y is squared in this equation, rather than the x, then this is a "sideways" parabola. To graph, I'll do my T-chart backwards, picking y-values first and then finding the corresponding x-values for x = –y2 – 10y – 25:

To convert the equation into conics form and find the exact vertex, etc, I'll need to convert the equation to perfect-square form. In this case, the squared side is already a perfect square, so:

y2 + 10y + 25 = –x
(y + 5)2 = –1(x – 0)

This tells me that 4p = –1, so p = –1/4. Since the parabola opens to the left, then the focus is 1/4 units to the left of the vertex. I can see from the equation above that the vertex is at (h, k) = (0, –5), so then the focus must be at (–1/4, –5). The parabola is sideways, so the axis of symmetry is, too. The directrix, being perpendicular to the axis of symmetry, is then vertical, and is 1/4 units to the right of the vertex. Putting this all together, I get:

vertex: (0, –5); focus: (–1/4, –5); axis of symmetry: y = –5; directrix: x = 1/4

Find the vertex and focus of y2 + 6y + 12x – 15 = 0

The y part is squared, so this is a sideways parabola. I'll get the y stuff by itself on one side of the equation, and then complete the square to convert this to conics form.

y2 + 6y – 15 = –12x
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(y + 3)2 – 15 = –12x + 9
(y + 3)2 = –12x + 9 + 15 = –12x + 24
(y + 3)2 = –12(x – 2)
(y – (–3))2 = 4(–3)(x – 2)

Then the vertex is at (h, k) = (2, –3) and the value of p is –3. Since y is squared and p is negative, then this is a sideways parabola that opens to the left. This puts the focus 3 units to the left of the vertex.

vertex: (2, –3); focus: (–1, –3)

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iogann1982 [59]

The answer is the first choice - see picture for solution:

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bagirrra123 [75]

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1 year ago

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