A boat is heading towards a lighthouse, whose beacon-light is 115 feet above the water. The boat's crew measures the angle of elevation to the beacon , . What is the 6 degrees ship's horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest hundredth of a foot if necessary .

Answer:

Area = 40

Perimeter = 26

Step-by-step explanation:

length = 8

width = 5

Area = 8 x 5 = 40

Perimeter = 2(8 + 5) = 26

Answer:

-10

Step-by-step explanation:

y : x

= 5 : 4

4z = -8

= -8 / 4 = -2 = z

y : x

= 5 * -2 : 4 * -2

= -10 : -8

Answer:

Step-by-step explanation:

The first friend would get $60,000

The second friend would get $15,000

The third friend would get $30,000

The probability of event A given the event B is 0.35 or 7/20.

It is given that A and B are two events.

Given probabilities are as follows:

Probability of A and B is = P(A and B) = 0.14

Probability of B = P(B) = 0.4

We know that the conditional probability of event A given B is given by,

P(A | B)

= P(A and B)/P(B)

= 0.14/0.4 [Substituting the value which are given]

= 14/40

= 7/20 [Eliminating the similar values from numerator and denominator]

= 0.35

Hence the probability of event A given the event B is 0.35 or 7/20.

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Answer:

19 km east

Step-by-step explanation:

By going North 12 then south 12 the two cancel eachother out leaving only the eastern movement

Answer:

19 km, East

Step-by-step explanation:

I hope you get it right

Answer:

56 min

Step-by-step explanation:

The expression for the number of minutes will be t / 3 = 200.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that From a 200-ton pile of coal, a conveyor belt removes 1/3 ton per minute.

The expression for the number of minutes will be calculated as:-

1 ton per minute,

The total number of minutes will be the multiplication of 1 / 3 tons to t minutes equal to 200.

t / 3 = 200.

Therefore, the number of minutes will be expressed as t / 3 = 200.

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The complete question is given below.

From a 200-ton pile of coal, a conveyor belt removes 1/3 ton per minute. By lunchtime, only a ton was left on the pile. Which equation can be used to find x, the number of minutes the conveyor belt was used to remove coal before lunch?

Answer:

8/25 , 38%, 0.41

Step-by-step explanation:

This should be the correct answer. Hope this helps!

Answer:

9 hours

Step-by-step explanation:

if Chase practices 3hr of cello per every 2hrs of piano, first find how may times does 2hrs goes into the total 6hrs:

6 ÷ 2 = 3

Then multiply the number the hours of cello by the total 2 hours of 6;

3 × 3 = 9

so your final answer would be:  9 hours of cello

Hope this helps!

Have a nice day!

Answer:

14 Hours

Step-by-step explanation:

Divide 7 hours by 2 to get the 2-hour intervals in which he played piano.

7/2=3.5

Multiply this by 4 to get the amount of time he spends on the cello.

3.5*4=14

Answer:

k is equal to 42

Step-by-step explanation:

Step-by-step explanation:

Exponential equation :

\(4.096 = {4}^{6} \)

\( \: \)

Logarithmic equation :

\( {}^{4} \log(4.096) = 6\)

Answer:

first finish multiplying the signs that are out of the brackets

4-2+3-6

remember the BODMAS, addition comes first

4+5-6

9-6

3

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Step-by-step explanation:

Answer:

The answer is "28"

Step-by-step explanation:

Given value:

total person =8

using formula:

\(\to \frac{n(n-1)}{2}\)

\(\to \frac{8(8-1)}{2}\\\\\to \frac{8(7)}{2}\\\\\to \frac{56}{2}\\\\\to 28\)

The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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Answer:

The z-score is \(z = 0.6\)

The percentile is  \(p(Z < 0.6) = 72.57\%\)

Step-by-step explanation:

From the question we are told that

   The  data value is  0.6 standard deviations above the mean i.e  \(x = \mu + 0.6 \sigma\)

Where  \(\mu\) is the population mean and \(\sigma\) is the standard deviation

Generally the z-score is mathematically represented as

        \(z = \frac{x - \mu }{\sigma }\)

=>     \(z = \frac{(\mu + 0.6\sigma ) - \mu }{\sigma }\)

=>    \(z = 0.6\)

The percentile is obtained from the z-table and the value is

     \(p(Z < 0.6) = 0.7257\)

=>   \(p(Z < 0.6) = 72.57\%\)

Figure O is reflected followed by a translation of 4 units in the left direction.

Given that:

Figure O and Figure P are shown on the graph.

The translation does not change the shape and size of the geometry. But changes the location.

Figure O is translated leftward by 4 units.

The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.

The translated figure O is reflected across the x-axis.

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she could have scored the 10 points in 302400 ways.

The given parameters are

n= total points =10

r1 =one-point free throw = 1

r2 = two-point field goals = 2

r3 =  three-point field goals = 3

The number of ways (k) she could have scored the points is:

k=(n!)/(r1!×r2!×r3!)

The factorial function is a mathematical formula represented by an exclamation mark "!".

k= 10!/(1!×2!×3!)

k= 3628800/(1×2×6)

k= 302400

so.. she could have scored the 10 points in 302400 ways.

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Answer:

The last graph.

Step-by-step explanation:

The last graph is the only one that has a constant pattern that can have a rule, which is every number is multiplied by two.

Hope this helped ! good luck :)

Answer:

Step-by-step explanation:

First, we can eliminate answer A. As you should know, answer A is a pie chart as it is a circle and cut into many slices.

Now both answer B and C look similar. They are both a bar graph. So we will come back and look at these later.

Answer D is about math test scores. I have forgotten the name of this graph but I can assure you this is incorrect.

So we are left with B and C. They both are bar graphs, right? Well sort of. Although they look identical, answer B is a histogram. If you look at graph B, you will notice it says age. This shows that there is time between each subject or event. Graph C is a personal question. What kind of pet you have is not directly related to something over time

Therefor the answer has to be B.

Answer:

x = 6

Step-by-step explanation:

x + 2(4x-6) = 42

x + 8x - 12 = 42

9x = 42 + 12

9x = 54

9/9 x = 54/9

x = 6

The surface area of the rectangular prism is 1476 square units

From the question, we have the following parameters that can be used in our computation:

30 mm by 12 mm by 9 mm

The surface area of the rectangular prism is calculated as

Surface area = 2 * (Length * Width + Length * Height + Width * Height)

Substitute the known values in the above equation, so, we have the following representation

Area = 2 * (30 * 12 + 30 * 9 + 12 * 9)

Evaluate

Area = 1476

Hence, the area is 1476 square units

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Answer:

$10.90

Step-by-step explanation:

I don't know why but it wants me to talk when I dont need to

Answer:

Let's say the woman's age is currently x and the daughter's age is y.

Five years ago, the woman was x-5 years old and the daughter was y-5 years old. So, the relationship between their ages five years ago can be expressed as:

(x-5) = 4(y-5)

Solving this equation for x, we get:

x = 4y - 15

In four years time, the woman will be x+4 years old and the daughter will be y+4 years old. The relationship between their ages in four years time can be expressed as:

(x+4) = 2.5(y+4)

Substituting the expression for x that we derived earlier into this equation, we get:

(4y-15+4) = 2.5(y+4)

This simplifies to:

4y-11 = 2.5y+10

Solving this equation for y, we get:

y = 11

Substituting this value back into the expression for x, we get:

x = 4(11) - 15 = 43

So, the woman is currently 43 years old and the daughter is currently 11 years old.

Step-by-step explanation:

Answer:

x < 4

Step-by-step explanation:

8 + 3x < 20 ( subtract 8 from both sides )

3x < 12 ( divide both sides by 3 )

x < 4

\(\huge\text{Hey there!}\)

\(\mathsf{8 + 3x < 20}\)

\(\mathsf{3x + 8 < 20}\)

\(\text{Subtract by 8 to both sides}\)

\(\mathsf{3x + 8 - 8 < 20 - 8}}\)

\(\text{Simplify it}\)

\(\mathsf{3x < 20 - 8}\)

\(\mathsf{3x < 12}\)

\(\text{Divide 3 to both sides}\)

\(\mathsf{\dfrac{3x}{3} < \dfrac{12}{3}}\)

\(\text{Simplify it}\)

\(\mathsf{x < \dfrac{12}{3}}\)

\(\mathsf{x < 4}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{x < 4}}}\huge\checkmark\)

\(\rm{You\ have\ an\ O P E N\ circle\ shaded\ to\ the\ left\ }\large\checkmark\)

\(\huge\text{Good luck on assignment \& enjoy your day!}\)

The value of x is -1 which makes the model true

The equation from the given model will be 5x+6=1

We have to find the value of x

5x+6=1

Subtract 6 from both sides

5x=-5

Divide both sides by 5

x=-1

Hence, the value of x is -1 which makes the model true

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Answer:

5 coupons each

Step-by-step explanation:

180 ÷ 36 = 5

yep