from a 200 ft observation tower on the beach, a man sights a whale in difficulty. the angle of depression of the whale is 7 degrees.how far is the whale from the shoreline

We can't answer the first question, because we know nothing about the spinner (looks like some information is missing).

As for the second question, the coordinates of the midpoint are simply the average of the coordinates of the endpoint, so if we let [tex]M[/tex] be the midpoint of [tex]A[/tex] and [tex]B[/tex], we have

[tex]M=\left(\dfrac{A_x+B_x}{2},\dfrac{A_y+B_y}{2}\right)[/tex]

Plugging in the numbers, we have

[tex]M=\left(\dfrac{2+8}{2},\dfrac{12+2}{2}\right)=(5, 7)[/tex]

At x = –6, y = 11

At x = 3, y = 5

At x = 15, y = –3

At x = –12, y = 15

Solution:

The function is [tex]y=-\frac{2}{3} x+7[/tex].

The domain of the function is {–12, –6, 3, 15}.

Substitute x = –6 in the function to find y.

[tex]$y=-\frac{2}{3} (-6)+7[/tex]

y = 4 + 7

y = 11

Substitute y = 5 in the function to find x.

[tex]$5=-\frac{2}{3} x+7[/tex]

Subtract 7 from both sides, we get

[tex]$-2=-\frac{2}{3} x[/tex]

Multiply by [tex]-\frac{3}{2}[/tex] on both sides, we get

x = 3

Substitute x = 15 in the function to find y.

[tex]$y=-\frac{2}{3} (15)+7[/tex]

y = –10 + 7

y = –3

Substitute y = 15 in the function to find x.

[tex]$15=-\frac{2}{3} x+7[/tex]

Subtract 7 from both sides, we get

[tex]$8=-\frac{2}{3} x[/tex]

Multiply by [tex]-\frac{3}{2}[/tex] on both sides, we get

x = –12

At x = –6, y = 11

At x = 3, y = 5

At x = 15, y = –3

At x = –12, y = 15

Answer:200 sq m

Step-by-step explanation: 10 x 10=100 + 10 x 10=100. 100+100=200

320 cubic inches

128 cubic inches

448 cubic inches

Step-by-step explanation:

Step 1:

Given,

Dimensions of the first rectangular prism = l * b * h = 16*5*4

[length is 16 as the total length is 20 and the width of the 2nd prism till the dotted line is 4]

Dimensions of the second rectangular prism = l * b * h = 4*4*8

We need to determine  volume of the 2 prisms and the whole figure. The volume of  rectangular prism can be obtained by multiplying the length breadth and the height.

Step 2:

Volume of the first prism = l * b * h = 16*5*4 = 320 cubic inches

Volume of the first prism = l * b * h = 4*4*8 = 128 cubic inches

The volume of the whole figure is the sum of the 2 rectangular prisms = 320 + 128 = 448 cubic inches

Answer:

one example is 10

Step-by-step explanation:

10 - 7 = 3

3 < 4

Answer:

I believe it can be any number above 4

Step-by-step explanation:

because any number above 4 minus 7 is a number under 4

Answer: Your answer for 13 people should be somewhere in the 20% range. Letting n=13 and we have about a 80.56% probability that no two out of the 13 share a birthday. As stated, the complement of this is the probability that at least two of the 13 share a birthday.

Step-by-step explanation:

The probability that 13 people have different birthdays is calculated by multiplying the individual probabilities for each person, considering each additional person has one less available day to have a unique birthday, resulting in an overall probability of approximately 83.3%.

The question asks what the probability is that 13 people have different birthdays, assuming we can neglect the impact of leap years. To solve this, we consider that there are 365 days in a year for a birthday to occur. The first person can have their birthday on any day, so the probability is 365/365. For the second person to have a different birthday, there are 364 possible days left, so the probability is 364/365. This pattern continues down for all 13 people.

To find the overall probability, we multiply these probabilities together:

Overall probability = (365/365) * (364/365) * (363/365) * ... * (353/365) = 0.833, or 83.3% when rounded to one decimal place.

This calculation is a practical application of probability theory, demonstrating how the likelihood of events changes as conditions evolve, such as when considering the probability of shared birthdays among a group of people.

Answer:

c = 57.5

Step-by-step explanation:

Since its 90 degree.

it would be 90 - 32.5 = c

Answer:

57.5

Step-by-step explanation:

It’s a 90 degree angle, which means the angles added together make 90. So if you want to get the missing angle, subtract the 32.5 angle to see what remains. That is your missing angle

-1 1/3 -> -1.3

Decimal Form: −1.3

Convert the fraction to a decimal by dividing the numerator by the denominator.

1/6 -> 0.16

Decimal Form: 0.16

Answer:

8.73

Step-by-step explanation:

Answer:

By 20 miles

It should be 20, since you are seeing how much apart is from Trail Marsh and Trail Woodland. Subtract 5 from 25, and you get 20

Answer:

1.29 in

Step-by-step explanation:

Answer:

3.53 km

Step-by-step explanation:

Let third day be X:

Second day: X - 0.98

First day: X - 0.98 + 1.37 = X + 0.39

X + X - 0.98 + X + 0.39 = 10

3X = 10.59

X = 3.53 kn

Answer:

2,5

Step-by-step explanation:

Add three

The reciprocal property is:

[tex]\frac{x - 3}{12} = \frac{x + 3}{20}[/tex]

Solution:

Given that,

[tex]\frac{12}{x - 3} = \frac{20}{x + 3}[/tex]

The reciprocal property is given as:

The reciprocal of a fraction is the numerator and denominator switched

[tex]\frac{a}{b} = \frac{c}{d}\\\\Then\\\\\frac{b}{a} = \frac{d}{c}[/tex]

Therefore,

[tex]\frac{12}{x - 3} = \frac{20}{x + 3}[/tex]

By reciprocal property,

Switch the numerator and denominator of right side fraction as well as left side fraction

The we get,

[tex]\frac{x - 3}{12} = \frac{x + 3}{20}[/tex]

Thus option C is correct

There are 15 girls and 18 boys. Therefore, the ratio of girls to boys in the cafeteria is 15 : 18 (or 15/18). However, both sides can be divided by 3, which simplifies the ratio to 5 : 6 (or 5/6).

Hope this helps!! :)

Answer: The ratio would be 5 girls to every 6 boys.

Step-by-step explanation:

Find a common number both can be divided be which would be 3, so 15 by 3 is 5, and 18 by 3 is 6. So, there is 5 girls for every 6 boys which is the ratio.

Answer:

Actually, the other answer the other person put was incorrect.

Step-by-step explanation:

The reason for this being that the correct answer is actually "-5 is a real number". Most all numbers are real numbers, if you haven't gotten into complex numbers yet

Hope this helps even if it's really late, just know that the other answer somebody else put is incorrect.

Answer:

The number -5 is a real number.

Step-by-step explanation:

Answer:

44×83 =3652 and 57×63=3591

Step-by-step explanation:

44

×83

_____

3652

57

×63

____

3591

Answer:

[tex]\displaystyle \sqrt{15} = x[/tex]

Step-by-step explanation:

Be VERY careful. When it write out the equation that way, it will give the speculation of this:

[tex]\displaystyle 15 = x^2[/tex]

Now, in this case, since you were extra explanatory about this [what is written in parentheses], two factors I know of that multiply to 15 are these:

** [tex]\displaystyle 15 = 2 \times 7\frac{1}{2}[/tex]

I am joyous to assist you at any time. ☺️

Answer:

Every 1 Block he is planting 5 tree's.

Step-by-step explanation:

There are multiple ways you can do it but the easiest I prefer is just to divided The Tree's by the Blocks.

Ex: 6 Blocks is 30 trees, Divide 30 by 6 and you get 5 for every block.

Emanuel is planting trees at a rate of 5 trees per block. This is determined by dividing the total number of trees by the total number of blocks planted.

Emanuel is planting trees at a consistent rate. To find this rate, we can set up a simple ratio.

He planted 15 trees in 3 blocks, which simplifies to 5 trees per block. This can be confirmed by looking at the second part of the problem. After 5 blocks, he had planted 25 trees. If we divide the total number of trees by the total number of blocks (25 trees / 5 blocks), we also get 5 trees per block.

Therefore, the rate at which Emanuel is planting trees is 5 trees per block.

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The y-intercept can be used to discover the high which the ball must be to be intercepted

Step-by-step explanation:

if x represents the distance the ball traveled, y represent the height of the ball. you must use these two points in order to intercept the ball and catch it at the exact location just like a (x,y) graph.

Answer: About 4 movies

Step-by-step explanation:

1 2/3 times 4/1 = 28/5

28/5 converted to a mixed number is 5 3/5

so therefore it would be ABOUT 4 movies

To find the number of movies that can be downloaded, divide the total downloading time by the time it takes to download one movie. In this case, 15 movies can be downloaded.

To find the number of movies that can be downloaded, we need to divide the total downloading time by the time it takes to download one movie. First, convert the mixed number 5 1/4 to an improper fraction, which is 21/4. Then, multiply 21/4 by the reciprocal of 1 2/5, which is 5/7. This gives us a total of 15 movies that can be downloaded.

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Answer:

10.022

Step-by-step explanation:

Answers are bolded.

4 2/3 + 7/9 = 49/9

3.64 + 3/5 = 106/25

2.8+ 7.2 = 10.022

When you add two rational numbers, each number can be written as a  (Fraction)

The sum of two fractions can always  be written as a  (Fraction)

Therefore, the  sum of two rational numbers will always be (Rational)

Step-by-step explanation:

I got these questions correct

Supplement of an angle measuring 50 degrees is 130 degrees

Step-by-step explanation:

Step 1 :

Given,

Measure of the angle = 50 °

We need to calculate the supplement of this angle

Step 2 :

2 angles are supplement to each other if the sum of their measures is 180°.

Hence the supplement of one angle can be computed by subtracting the value of that angle from 180°

Hence the supplementary angle to 50 ° is 180° - 50 ° = 130 °

Step 3:

Answer:

Supplement of an angle measuring 50 degrees is 130 degrees

12 times 4 equals 48ft

Answer:

D

Step-by-step explanation:

Polynomials are closed under addition and subtraction because we will still get a polynomial

Polynomials are closed under multiplication because we still get a polynomial.

Polynomials are not closed under division because we can get   negative exponents

2x/ 4x^2 = 1/2x  This is not a polynomial

Answer:

D

Step-by-step explanation:

Quotient of 2 polynomials may not be a polynomial

Example:

(10x+5)/(5x²) = 2/x + 1/x²

= 2x^-1 + x^-2

which is not a polynomial because the power is negative

Answer:

17.861 feet or 17.9 feet (3 sf)

Step-by-step explanation:

180 - 36 - 87 = 57

X/sin(87) = 15/sin(57)

X = 17.861 feet