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2 years ago

6

Pat helps run an animal shelter. The actual number of animals brought in during a particular month was 150. The percent error wa

s 12%. If Pat estimated on
the high side ( more than 150 ), how many animals did pat think were brought to the actual cost

1 answer:

jeyben [28]2 years ago

3 0

12/100 150/n = 150*100/12 = 18%

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prove that ( sin theta cos theta = cot theta ) is not a trigonometric identity by producing a counterexample

user100 [1]

Answer:

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Assume θ with a value and substitute with it.

Let θ = 45°

So, L.H.S = sin θ cos θ = sin 45° cos 45° = (1/√2) * (1/√2) = 1/2

R.H.S = cot θ = cot 45 = 1

So, L.H.S ≠ R.H.S

So, sin θ cos θ = cot θ is not a trigonometric identity.

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2 years ago

Carl has new bottle of laundry detergent he uses 0.4 cups of laundry detergent while washing one load of laundry and 0.7 coupon

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Answer:

-1.1 cups

Step-by-step explanation:

To find out how much was spent on the main bottle of detergent, we must add the expenses that were incurred in the wash.

The statement tells us that first there is an expense of 0.4 cups of laundry detergent while washing one load of laundry and 0.7 coupon another load, therefore this means that the change in the bottle would be:

(-0.4) + (-0.7) = -0.4 - 0.7 = -1.1 cups.

In other words, the main bottle would have 1.1 cups less, that is, -1.1 cups.

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2 years ago

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The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other squar

Levart [38]

Let the side of one square be x.    Area = x*x = x²

Then the side of other square would be 2x ,   Area = 2x*2x = 4x²

Combined area = x² + 4x² = 5x²

This combined area = 45 cm²

Therefore 5x² = 45   Divide both sides by 5
                  x² = 45/5
                  x² = 9        Take square root of both sides
                  x   = √9
                  x = 3

Length of larger square is 2x = 2*3 = 6 cm
Length of larger square = 6cm

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2 years ago

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Assume there are 365 days in a year.

MissTica

Answer:

1) The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday is 0.002.

Step-by-step explanation:

Given : Assume there are 365 days in a year.

To find : 1) What is the probability that ten students in a class have different birthdays?

2) What is the probability that among ten students in a class, at least two of them share a birthday?

Solution :

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

Total outcome = 365

1) Probability that ten students in a class have different birthdays is

The first student can have the birthday on any of the 365 days, the second one only 364/365 and so on...

$\frac{364}{365}\times \frac{363}{365} \times \frac{362}{365} \times \frac{361}{365}\times\frac{360}{365} \times \frac{359}{365} \times \frac{358}{365} \times \frac{357}{365} \times\frac{356}{365}=0.883$

The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday

P(2 born on same day) = 1- P( 2 not born on same day)

$\text{P(2 born on same day) }=1-[\frac{365}{365}\times \frac{364}{365}]$

$\text{P(2 born on same day) }=1-[\frac{364}{365}]$

$\text{P(2 born on same day) }=0.002$

The probability that among ten students in a class, at least two of them share a birthday is 0.002.

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2 years ago

The sun subtend an angle at 35degree from the centre of the earth whose distant from the centre of the earth is 382,100km. Find

Sonbull [250]

Study the figure attached below:

Answer:

240951.33km

Step-by-step explanation:

For this type of question first we need to draw the figure as shown in the attached file (Figure.1).

Looking at the figure, we can see that triangle ABC is formed by bisecting the angle 35 degree (i.e. if the angle is bisected, it will divide into two equal parts, so 35 degree will divide into two equal parts of 17.5 degree).

As the triangle ABC is a right triangle, so we can use the trigonometric ratios to find the diameter of the sun.

$tan(\theta )= \frac{perpendicular}{Base}$

In the triangle ABC, perpendicular (opposite side to $\theta$ ) is BC and base (Adjacent side) is AC

$tan(\theta)=\frac{BC}{AC}$

$\theta$ =17.5 degree

AC=382100km

Putting the values, we get

$tan(17.5)=\frac{BC}{382100}\\ \\BC=tan(17.5)*382100km\\\\BC=0.315*382100km\\\\BC=120475.66km$

Diameter=d=2*Radius

As BC is the distance from center of the sun, it is the radius, so we can find the diameter if we multiply it by 2.

Diameter of the sun=d=2*120475.66km

$The\ diameter\ of\ the\ sun\ = 240951.33km$

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2 years ago

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