the statue of liberty is approximately 305 feet tall. if the angle of elevation of a ship to the top of the statue is 20.5°, how far, to the nearest foot, is the ship from the statue's base?

The difference between the boiling points is the subtraction between them. The two boiling points are given in mixed fractions, to subtract them we need to subtract the integer part and the fractional part separately. With this in mind let's solve the problem:

The correct answer is the option "B".

Answer:

The median is 9

Explanation:

The median of a data set is the value that lies in the middle of the ordered data set.

In this case, we have:

19,3,7,1,11,19,2,3,17,4,14,12

We need to order the list in ascending order:

1, 2, 3, 3, 4, 7, 11, 12, 14, 17, 19, 19

There are 12 values, since is an even number, the median is the average of the pair in the middle.

In this case, the pair in the middle is 7 and 11. The average is:

Thus, the median is 9

By the concept of supplementary angles the value of y = 58.25°. That is option C.

Angles that add up to 180 degrees are referred to as supplemental angles. For instance, angle 130° and angle 50° are supplementary angles since the sum of these two angles is 180°. Supplementary angles are two angles that add up to 18 0 180 circ 180. They frequently occur when they are on the same side of a straight line, for example. When two angles sum up to 180 degrees, they are complementary (a Straight Angle). They don't even have to be close to one another for the total to be 180 degrees. Examples: The additional angles of 40° and 140°. Supplementary angles are a pair of angles that always add up to 180 degrees. These two perspectives are referred to as complements of one another.

∠X + ∠Y = 180°

∠Y = 180° - 121.75°

∠Y = 58.25°

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Answer: the answer is B

Step-by-step explanation: i took the test and got it right

This is a Triangle. The perimeter of a triangle is given by the sum of all sides:

Area of triangle is given by 1/2 * bh

We have the following:

We must convert square feet to square inches

We have that 1 foot is equal to 12 inches

Which means that one square foot equals 144 square inches.

We have the following:

now,

replacing:

The answer is the secondo option

Total cost = 4s+12

student's ticket price = s

Number of students tickets= 4

Adult's tickets price = $12

Number of Adult's tickets = 1

Total cost = (number of students tickets x price of each student's ticket) + ( number of adult tickets x price of each adult ticket)

Total cost of the tickets (y)= 4s + 1(12)

y = 4s+12

Explanation

Answer

4/5

In general, given two points on a line, we can find its equation by using the formula below

Therefore, in our case,

Thus, the answer is 3x+y=33, option C.

a) 12 goats ate 3 pizzas. To find goat per pizza, dividing the number of goats by the number of pizzas:

b) 20 banks are robbed for a total of $50,000. To find the money per bank, divide the total money by the number of banks.

c) In 86 years, 9 drops have formed. To find years per drop, divide the years by the number of drops.

d) 3 hippos eat 5 pumpkins

To find the number of pumpkins per hippo, divide 5 by 3.

A publisher marks up a textbook by 60%, and a bookstore further marks up the textbook by 25%. What percentage of the original cost do you pay?

Let

x ------> original cost

so

1) publisher marks up a textbook by 60%

cost=1.60x

2) bookstore further marks up the textbook by 25%

cost=1.60x(1.25)=2x

therefore

Given the function h described by h(x) = x + 2, find each of the following:

h(0) = 0 + 2 = 2

h(-7) = -7 + 2 = -5

h( -13) = -13 + 2 = -11

h (10) = 10 + 2 = 12

h (d + 4) = d + 4 + 2 = d + 2 + 6

The absolute value of 72 is the distance between 72 and 0 on a number line.

There will be 72 point on the number line if we count. So,

Consider that the average of any discrete data is defined as,

Here the data is the weight (in pounds) of the starting basketball team members,

So the corresponding mean wieght of a team member is calculated as,

Thus, the average weight of starting team member is 224.8 pounds.

Both triangles are similar; while the first is a reduction, the second is an enlargement.

Let's begin by listing out the information given to us:

A(5,6), B(5,10), C(8,3)

A scale factor of 1 / 3 means the triangle will be smaller (reduction):

[tex]$$\begin{gathered}P=(2,3) \\A B=4 \Rightarrow A^{\prime} B^{\prime}=\frac{4}{3} \\B C=\sqrt{58} \Rightarrow B^{\prime} C^{\prime}=\frac{\sqrt{58}}{3} \\A C=\sqrt{18} \Rightarrow A^{\prime} C^{\prime}=\frac{\sqrt{18}}{3}=\sqrt{6}\end{gathered}$$[/tex]

A scale factor of 2 means the triangle will be bigger (enlargement):

[tex]$$\begin{gathered}A^{\prime \prime}=2 A=2(5,6)=(10,12) \\B^{\prime \prime}=2 B=2(5,10)=(10,20) \\C^{\prime \prime}=2 C=2(8,3)=(16,6)\end{gathered}$$[/tex]

Both triangles are similar; while the first is a reduction, the second is an enlargement

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It is given that 8000 tickets are sold for $2 each, one prize of $4200 will be awarded.

The expected value is determined as

The expected value of a single ticket in the raffle is -0.499 dollar.

The coordinates of the centroid is

The coordinates of the centroid of a triangle is given as:

Using the above formula, we have:

1 cm --------------------- 30 km

2 cm -------------------- x

x = (2 x 30) / 1

x = 60 / 1

x = 60

Result: the distance between these cities is 60 km.

x = -1

Note:

f(x) is the vertical axis of the graph

x is the horizontal axis of the graph

To get the value of x when f(x) = 4:

Locate the point on the graph that is on the "4" on the vertical axis and trace it downwards to get the value of x.

If that is done, we would observe that x = -1 when f(x) = 4

24 is divisible by 3

21 is divisible by 3

18 is divisible by 3

15 is divisible by 3

12 is divisible by 3

9 is divisible by 3

6 is divisible by 3

3 is divisible by 3

8 numbers are divisible by 3

Total numbers: 24

24-8 = 16 numbers are not divisible by 3

Divide the number that are not divisible by 3 , by the total numbers:

16 /24 = 2/3

Answer:

the answer is c- best known mass

Let the number of miles Michael drove the truck be m.

Then, the cost of the drive is given by the expression,

The actual cost is given as $134.89

Hence, we must have that

Thus the number of miles is 134 miles

The total cost to assemble 1, 500 smart phones, given the cost formula, can be found to be $525,000

The total cost of a smart phone is found by the formula, C(q) = 500 - 2q.

Here q is the cost of parts which is 75.

The assembly cost of a single phone is therefore:

= 500 - 2(75)

= 500 - 150

= $350

If there are 1, 500 smart phones, the total cost would be:

= 350 x 1, 500

= $525,000

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To solve this problem we can use a z-table. First, we convert our score to a z-score using the following formula:

where mu represents the mean and sigma represents the standard deviation.

Using this formula in our problem, we have:

This z-score represents the position where the phone call is equal to 6 minutes. On a z-table, we're going to find the area between the mean and this z-score, since we want the probability that a conversation lasts longer than 6 minutes, we want the area above it. To calculate this area, we're going to subtract the value given on the z-table from 0.5.

The value on the z-table is:

Then, our probability is:

The answer is 0.077.

.

From the image;

The two points are (-5, 3) and (-2,-3)

The distance between two points is given by:

On substitution

Therefore the distance between two points on the graph is 6.71units

A coefficient is a number that is multiplied by the variable.

From the given options, the variable is x, and the option that has the coefficient 6 is option D. 6x+3.

Since the number multiplied by the variable x is 6 in option D.

First find the distance from (3,0) to (6,1)

We will use the distance formula

d = sqrt( (x2-x1)^2 + ( y2-y1)^2)

= sqrt( ( 6-3)^2 + ( 1-0)^2)

= sqrt( 3^2 + 1^2)

= sqrt( 9+1)

= sqrt(10)

Now we can find the distance between ( 6,1) and (9,0)

We will use the distance formula

d = sqrt( (x2-x1)^2 + ( y2-y1)^2)

= sqrt( ( 9-6)^2 + (0-1)^2)

= sqrt( 3^2+ (-1)^2)

= sqrt( 9+1)

= sqrt(10)

The distance is sqrt(10)

Basically we need to find the slope:

Given:

sum of measure of the angle in a triangle

Sum of three angle is:

then the sum of the measures of the angle in a triangle is equal to 180.

Given the geometric sequence:

The common ratio will be:

The general rule of the geometric sequence will be:

so, a7 will be:

And an will be: