Mackenzie is trying to find the height of a radio antenna on the roof of a local
building. She stands at a horizontal distance of 29 meters from the building. The
angle of elevation from her eyes to the roof (point A) is 24°, and the angle of
elevation from her eyes to the top of the antenna (point B) is 32°. If her eyes are 1.71
meters from the ground, find the height of the antenna (the distance from point A to
point B). Round your answer to the nearest meter if necessary.

Answer:

You have to multiple to get you answer

Step-by-step explanation:

Answer: Graphed: f(x)=-9x+14gx     Answer: =-3x2

Use the given functions to set up and simplify .

Exact Form: x=0,-1/3

Decimal Form: x=0,-0.3

Step-by-step explanation:

There are $20468.55 must you deposit now in order to have $25,000 in 4 years in an account getting 5% interest compounded daily.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given:

A = Final amount = $25000

P = Initial principle balance

r = interest rate = 5% = 0.05

t = Number of time of years

n = number of times interest applied per time period = 365

Since, the formula for compound interest,

[tex]A = P(1+\frac{r}{n})^n^t[/tex]

Plug the values of A, r, n and t in the above formula

[tex]25000 = P(1 + \frac{0.05}{365})^3^6^5^*^4 \\25000 = P(1.0001369863)^1^4^6^0\\25000 = P(1.2213860258)\\P = 20,468.549231702[/tex]

P ≈ 20,468.55

Hence, there are $20468.55 must you deposit now in order to have $25,000 in 4 years in an account getting 5% interest compounded daily.

To know more about compound interest, click on the link

https://brainly.com/question/24274034

#SPJ1

The simplified form in base 3 for ln(3) + ln(9) is 3ln(3)

logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if b^x = n, in which case one writes x = logb n.

In(9) can be written as ln3^2

which according law of logarithm is 2ln(3)

Expression becomes

ln(3) + 2ln(3) which is 3ln(3)

In conclusion, the simplified form of the expression in base 3 is 3ln(3)

Learn more about Logarithm: https://brainly.com/question/29861850

#SPJ1

Answer:

[tex] 4\frac{1}{5} [/tex]

Step-by-step explanation:

[tex] 4\frac{2}{3} \times \frac{9}{10} [/tex]

[tex] \frac{14}{3} \times \frac{9}{10} [/tex]

[tex] \frac{126}{30} [/tex]

[tex] \frac{21}{5} [/tex]

Answer: A woman has 8 skirts, 5 blouses, and 5 pairs of shoes. This means that she has a total of 8 * 5 * 5 = <<855=200>>200 different skirt-blouse-shoe outfits that she can wear.

Step-by-step explanation: To find the number of different skirt-blouse-shoe outfits that a woman can wear, we need to find the total number of combinations of skirts, blouses, and shoes that she has. To do this, we simply multiply the number of skirts that she has by the number of blouses that she has by the number of pairs of shoes that she has. In this case, the woman has 8 skirts, 5 blouses, and 5 pairs of shoes, so the total number of combinations is 8 * 5 * 5 = 200. This means that she can wear 200 different skirt-blouse-shoe outfits.

The diver was 450 feet deep in the water 10 minutes ago.

Let our D be the depth of the diver 10 minutes ago.

Since diver is pulled out at 25 ft/minute, the depth formula can be written as:

[tex]D - 25t = 200[/tex] where t is the time in minutes.

Substituting t = 10, we have:

[tex]D - 25(10) = 200\\D - 250 = 200\\D = 200 + 250\\D = 450 feet.[/tex]

Translated question "A deep-sea exploration vessel is pulling a diver out to rate of 25 feet per minute. The diver is 200 feet below sea level. How deep was the diver 10 minutes ago?"

Read more about depth

brainly.com/question/28831566

#SPJ1

Note that given the speed at which he is being pulled out, the diver was 50 feet about 10 minutes ago.

The diver is being pulled out at the rate of 25 feet per minute.

This means that after 10 minutes, he would have been pulled by a total of

25 x 10 = 250 feet.

Since the diver was 200 feet below sea level,

200-250 = -50ft.

hence 10 minutes ago, he was 50 feet below sea level.

Learn more about speed:
https://brainly.com/question/28224010
#SPJ10

Translation:

A deep-sea exploration vessel is pulling a diver out to rate of 25 feet per minute. The diver is 200 feet below sea level. how deep there was the diver 10 minutes ago?

The number of games that must be played for the cost to be the same at both places is 4.

Bowl o rama charges 2.50 a game plus 2 for shoe rental, and bowling pinz charges 2 a game plus 4 for shoe rental.

The number of games that must be played for the cost to be the same at both places is as follows:

Using system of equation,

let

x = number of games

Hence,

2.50x + 2 = 2x + 4

2.50x - 2x = 4 - 2

0.5x = 2

divide both sides by 0.5

x = 2 / 0.5

x = 4

learn more on equation here: https://brainly.com/question/22240744

#SPJ1

The probability that an individual will take far longer than 21 days to complete it is 0.12.

In the descriptive analysis, the standard deviation is the amount of scatter or dispersal of the pieces of data in relation to their mean. It provides information on the distribution of values within the sample data and serves as a gauge for how widely apart the measured values are from the mean.

As per the information available in the question,

Meantime, μ = 14 days

Standard deviation, ρ = 6 days

Assume the time to pass the kidney stone be x.

The probability that it will take someone more time than 21 days to complete it.

Let's find out the Z-score first,

Z-score = (x - μ)/ρ

Substitute values in above equation,

= (21 - 14)/6

Z-score = 1.166.

The probability that it will take someone more time than 21 days to complete it :

P(x > Z) = P(x > 1.16) = 0.12

To know more about standard deviation:

https://brainly.com/question/23907081

#SPJ1

The linear equation represented in the table is:

y = (1/2)*x - 2

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if a line goes through two points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we can use the first two points on the table (0, -2) and (2, -1), so we will get:

a = (-1 + 2)/(2 - 0) = 1/2

And because of the point (0, -2) we know that the y-intercept is -2, so we can write:

y = (1/2)*x - 2

The correct option is C.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The measure of one interior angle of the 45-sided polygon is (c) 172 degrees

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

Shape = 45-sided polygon

Parameter to calculate = the measure of one interior angle

The sum of the interior angles is calculated using the following angle formula

The sum of the interior angles = ( n − 2 ) × 180 ∘ where is the number of sides

In this case

n = 45

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

The sum of the interior angles = (45 − 2) × 180∘

Evaluate

The sum of the interior angles = 7740∘

So, the internal angle is

Angle = 7740/45

Evaluate

Angle = 172

Hence, the angle is (c) 172 degrees

Read more about polygons at

brainly.com/question/8409681

#SPJ1

The true statement is that 2 in 142 represents a greater value than 2 in 124 because 142 > 124.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol. The place values on the left ofthe decimal point start as ones, tens, hundreds, and so on.

The place value on the right of the decimal point starts from a point and goes to right as tenths, hundredths, and so on.

We are given that encore or points for an NBA Team are usually as whole numbers.

For example, 1, 2, 3, 4, e.t.c. points of an NBA Team are not in decimals or fractions.

The withiner of points awarded for an NBA match is called Discrete because that can be counted with a given amount of time.

Hence, 2 in 142 represents a greater value than 2 in 124 because 142 > 124.

Learn more about place value here:

https://brainly.com/question/17983725

#SPJ1

The value of x for the given triangle is x = 86°.

What is triangle?

Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. Triangle ABC refers to a triangle with the vertices A, B, and C. In Euclidean geometry, any three points that are not collinear determine a singular triangle and a singular plane at the same time.

From the given triangle we have to find the value of x.

By triangle's property.

(x - 45)° + (x + 3)° = (x + 44)°

              2x - 42 = x + 44

                 2x -x = 44 + 42

                       x = 86°

Hence, the value of x for the given triangle is x = 86°.

To learn more about triangle, click on the link

https://brainly.com/question/25215131

#SPJ1

The age of Stacy is 24 years old provided the age of Ann is 59 years old.

Two or more expressions with an equal sign are defined as an equation.

Given that, Ann is 11 more than two times older than Stacy.

Let the age of Stacy and Ann be s and a respectively, then:

a = 11 + 2s

Substitute a = 59 into the above equation:

59 = 11 + 2s

2s = 59 -11

s = 24

Hence, the age of Stacy is 24 years old provided the age of Ann is 59 years old.

Learn more about equations here:

https://brainly.com/question/10413253

#SPJ1

Answer: it describe the steepness of the line

Step-by-step explanation:

need brainliest

The inequality expression p + 1.4 ≤ 0.5 is false for p = 0.1

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

p + 1.4 ≤ 0.5;

p = 0.1

Substitute p = 0.1 in p+ 1.4 ≤ 0.5;

So, we have the following representation

0.1 + 1.4 ≤ 0.5;

Evaluate the like terms

This gives

1.5 ≤ 0.5;

The above inequality is false

This is because 1.5 is greater than 0.5

Hence, p + 1.4 ≤ 0.5; p = 0.1 is false

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

To represent an inequality on a number line, such as x>3, first draw a circle around the number. Fill in the circle if the sign also says equal to (or ).

To learn more about Graphing Linear Inequalities refer to:

https://brainly.com/question/371134

#SPJ1

Answer:

The probability of rain on both Monday and Tuesday is .08, or approximately 8%.

Step-by-step explanation:

The probability of an event occurring on two separate days (such as rain on Monday and Tuesday) is calculated by multiplying the probabilities of the two events occurring separately. In this case, the probability of rain on both Monday and Tuesday is given by:

Probability of rain on Monday * Probability of rain on Tuesday = .1 * .8 = .08

Therefore, the probability of rain on both Monday and Tuesday is .08, or approximately 8%.

It's important to note that this probability assumes that the likelihood of rain on each day is independent of the other day. In other words, the probability of rain on Tuesday does not depend on whether or not it rained on Monday. If this is not the case, the probability of rain on both days may be different.

Answer: The value of the account after t years can be found using the formula:

Value = 2900 * (1 + 0.0061/4)^(4t)

The annual growth rate, or APR, is 6.1%. When this rate is compounded quarterly, the effective annual growth rate, or APY, is 6.17%, which is the nearest hundredth of a percent.

Therefore, the function showing the value of the account after t years is:

Value = 2900 * (1 + 0.0061/4)^(4t)

And the annual growth rate, or APY, is 6.17%.

The amounts of each type of coin that they have is given as follows:

The amounts of each type of coin are obtained using a system of equations, in which the variables are given as follows:

Kevin and Randy Muise have a jar containing 83 coins, hence:

x + y = 83.

The value of a nickel is of $0.05, while the value of a quarter is of $0.25. The total value of the coins in the jar is $12.95, hence:

0.25x + 0.05y = 12.95.

From the first equation, we have that:

y = 83 - x.

Replacing on the second equation, the amount of quarters is given as follows:

0.25x + 0.05(83 - x) = 12.95

0.2x = 8.8

x = 8.8/0.2

x = 44.

Then the amount of nickels is given as follows:

y = 83 - x = 83 - 44 = 39.

More can be learned about a system of equations at https://brainly.com/question/24737967

#SPJ1

The correct answer is option is a) x^4 – 6x^2 – 27 = 0 , d) 6(2x + 4)2 = (2x + 4) + 2 ,  e) 6x^4 = -x^2 + 5.

How do you write a quadratic form?

A quadratic equation can be expressed using the formula au^2+bu+c=0. where u is a mathematical expression. In each case, the leading term's exponent is equal to the middle term's exponent multiplied by two.

What is quadratic standard form?

Standard form refers to the quadratic function f(x) = a(x - h)2 + k, where an is not equal to zero. The graph opens either upward or downward depending on the value of a. The vertex is the point, while the line of symmetry is the vertical line x = h.

Learn more about quadratic form here:  

brainly.com/question/25841119

#SPJ1

Answer:im assuming you need to know the difference and its nine

Step-by-step explanation: 34-25=9

The probability of the customer wants to take snack B is 144/320 as they have already taken snack A

and the probability of the customer who has not taken snack A before

wants to take snack A =108/252

It is the ratio of favorable outcome to total possible outcome of an event.

based on given data, we calculated the number of customers who has taken snack A before may want to take snack B. The customers have not taken snack A yet may want to snack A.

hence, probability to take snack B = 144/320

probability to take A =108/252

to learn more about probability visit:

https://brainly.com/question/30015100

#SPJ1

a) The probability a person who has eaten snack A before is 59/143.

b) The probability a person who has eaten snack A before is 84/143

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Given that the total number of people that are taken for the event is 572.

The number of people who have eaten snack A before is 236.

The number of people who have not eaten snack A before is 336.

Probability = The number of outcomes of favorable event/ Total number of outcomes

The probability getting a person who has eaten snack A before is

= 236/ 572

= 59/143 [Divide denominator and numerator by 4]

The probability getting a person who has not eaten snack A before is

= 336/ 572

= 84/143 [Divide denominator and numerator by 4]

To learn more about event, click on below link:

https://brainly.com/question/3813651

#SPJ1

Answer:

200.96

Step-by-step explanation:

3.14*r²

so 3.14*8²=200.96

John's average speed for the whole race would be;  12.8 kilometers per hour

The first part of the race was 14 km long, and he completed it in 1 hour.

Now, formula for speed is;

Speed = distance/time

Thus, John's speed in the first part of the race would be;

14/1 = 14km/hr

The second part was 18 km long, and he completed this part in an hour and a half. This means that his speed in the second part of the race is;

18/1.5 = 12km/hr

Average speed = Total distance/total time

Total distance for both parts of the race is;

14 + 18 = 32km

Total time for the race is;

1 + 1.5 = 2.5 hours

John's average speed for the whole race would be;

32/2.5 = 12.8 kilometers per hour

Read more about Average Speed at; https://brainly.com/question/4931057

#SPJ1

By SAS congruence triangle MLN and triangle OLN are congruent.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given that, LM≅LO, ∠MLN≅∠OLN.

LM≅LO (Given)

∠MLN≅∠OLN (Given)

LN≅LN (Reflexive property of congruence)

ΔMLN≅ΔOLN (SAS congruence)

∠M≅∠O (CPTC)

MN≅ON (CPTC)

Therefore, by SAS congruence triangle MLN and triangle OLN are congruent.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ1

The fraction of the album he recorded in June is 1/2

When all the fractions of the album will be  = 1

Bruno recorded 2/12 was recorded in August

2/12 to the lowest term = 1/6

And 1/3 was recorded in July

So,

The fraction of the rest of the album in June is unknown

Let fraction recorded in June will be = x

x =  1 - 1/6 - 1/3

x = 1/1 - 1/6 - 1/3

x = [tex]\frac{18 - 3 - 6}{18}[/tex]

x = [tex]\frac{9}{18}[/tex]

x = [tex]\frac{1}{2}[/tex] to lowest term

Therefore, he recorded 1/2 of his Album in June

Read more about Fraction

https://brainly.com/question/28780418

#SPJ1