You have been commissioned to design a monument to Mr. Mullen. The monument consists of a pool 100 ft long where observers stand on one side of the pool and a giant statue of Mr. Mullen holding a cat stands on the other. If you want the angle of elevation from the ground to be 42 degrees, how tall must you make the statue?

a. 100 ft
b. 90 ft.
c. 111 ft
d. 67 ft
e. 74 ft

Answers

Answer 1

9514 1404 393

Answer:

  b.  90 ft

Step-by-step explanation:

The opposite and adjacent sides of the relevant triangle are given.

  Tan = Opposite/Adjacent

  tan(42°) = h/(100 ft)

  h = (100 ft)tan(42°) ≈ 90.04 ft

The statue must be about 90 ft tall.

Answer 2

Answer:

a. 100 ft

b. 90 ft.

c. 111 ft

d. 67 ft

e. 74 ft

its b.90 ft.


Related Questions

4x + 3 2x+9 solve for x

Answers

4x+3+2x+9=180
6x+12=180
6x=168
x=28

Answer:

The value of x is 28°

Step-by-step explanation:

Here, In a given figure

4x + 3° ...(1)

2x + 9° ...(2)

Now, we know that the sum of all angle is 180° on a straight line

So,

4x + 3° + 2x + 9° = 180°

6x + 12° = 180°

6x = 180° - 12°

6x = 168°

x = 168° ÷ 6

x = 28°

Thus, The value of x is 28°

FOR VERIFICATION ONLY:-

4x + 3° + 2x + 9° = 180°

4(28) + 3° + 2(28) + 9° = 180°

112° + 3° + 56° + 9° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist

Question
What was the equation of the graph below before it was shifted to the right 1
unit?

Answers

B
I think sorry if wrong

Which equation has a slope of –2 and passes through the point (5, 0)?
A. y = 2x + 5
B. y = 2x + 10
C. y = –2x + 5
D. y = –2x + 10

Answers

Answer:

D. y = –2x + 10  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].  

Since [tex]m[/tex] represents the slope, substitute -2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (5,0) into the formula as well. This gives the following equation:

[tex]y - 0 = -2(x-5)\\y = -2(x-5)[/tex]

2) Expand the right side of the equation to find the answer:

[tex]y = -2(x-5)\\y = -2x+10[/tex]

So, option D is correct.

help please. (right now i’m just filling in for the 20 characters it’s not relevant to the question)

Answers

Answer:

9

Step-by-step explanation:

We're using the Pythagorean theorem here since it's a right triangle.

a^2 (side) + b^2 (side) = c^2 (hypotenuse)

12 = a

x = b

15 = c

12^2 + b^2 = 15^2

144 + b^2 = 225

- 144             - 144 (subtracting 144 from both sides to isolate b)

b^2 = 81

[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)

b = 9

x = 9

In the image above x=4 cm and y=8 cm. Find the surface area of the figure. (Note: Figure is not to scale.)

Answers

Answer:

96

Step-by-step explanation:

4×8×3=96 is the surface area

Question 5 of 10
Which system of inequalities is graphed below?
5
O A. y

Answers

Answer:

you did not send the graph-_-

Step-by-step explanation:

4b + 8c + 12 – 8b – 2c + 6.

Answers

The answer to the question is -4b+6c+18

a. find the area

b. find the perimeter​

Answers

Answer:

Area= 4y^2 + 14y + 12

Perimeter = 10y + 16

Step-by-step explanation:

Area of a reactangle = length × width

= (4y+6) × (y+2)

= 4y^2 + 6y + 8y + 12

= 4y^2 + 14y + 12

Perimeter of a rectangle = 2 × (a +b)

= 2 × ( 4y + 6 + y+ 2)

= 2 × ( 5y + 8)

= 10y + 16

Jose and two of his friends are collecting baseball cards. Their goal is for the three of them to collect at least 100 cards in total. At the moment they have 43
cards. If they all plan to now collect the same number of cards, which inequality can Jose use to determine the minimum number of cards each person needs
to collect to reach their goal?

Answers

Answer:

3c + 43 >_ 100

Step-by-step explanation:

Which problem can be solved with 56 + 7 = 8?
Chloe has 56 pennies. Her brother has 7 times as
many pennies as she has, How many pennies does
her brother have?
Chloe has 56 pennies. She finds 7 more pennies.
How many pennies does she have now?
Chloe has 56 pennies. She puts the pennies into
equal stacks of 7. How many stacks does she make?
Chloe has 56 pennies. She gives away 7 pennies.
How many pennies does she have left?

Answers

Answer:

she puts the pennies into equal stacks

Step-by-step explanation:

I think you meant 56 DIVIDED by 7=8, not 56 PLUS 7=8

Answer:

C.Chloe has 56 pennies. She puts the pennies intoequal stacks of 7. How many stacks does she make?

Step-by-step explanation:

-3 < 5 true or false

Answers

Answer:

true

Step-by-step explanation:

Answer:

true?

Step-by-step explanation:

- 63 y^5
27y^7
- 18y^9
Take out the common factor ​

Answers

Answer:

[tex]Factor = 9y^5[/tex]

Step-by-step explanation:

Given

- 63 y^5  , 27y^7  and 18y^9

Required

Remove the common factor

Factorize each expression:

[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]

[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]

[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]

The common factor in the above expression is:

[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]

[tex]Factor = 9y^5[/tex]

433.54 in terms of pi​

Answers

Answer:

138.0700636942675[tex]\pi[/tex]

Step-by-step explanation:

7.5667004391


Is the answer


433.54 x π/180.

Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a city's municipal water supply, with the following results. It is reasonable to assume that the population is approx. normal.

DATA: 202, 164, 157, 177, 113, 213202, 164, 157, 177, 113, 213.

Based on a 98% confidence interval for the mean magnesium ion concentration, is it reasonable to believe that the mean magnesium ion concentration may be greater than 195?

Answers

Answer:

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

Step-by-step explanation:

The six measurements are:

202, 164, 157, 177, 113, 213

Sample mean:

Sum of all values divided by the number of values which is 6. So

[tex]S_m = \frac{202+164+157+177+113+213}{6} = 171[/tex]

Sample standard deviation:

Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So

[tex]s = \sqrt{\frac{(202-171)^2+(164-171)^2+(157-171)^2+(177-171)^2+(113-171)^2+(213-171)^2}{5}} = 35.69[/tex]

Confidence interval

We have the standard deviation for the sample, which means that the t-distribution will be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.365

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm

The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

HELP PLEASEEEEEE I WILL GIVE YOU BRAINLIEST

Answers

Answer:

Step-by-step explanation:

so brh

The sticker price for a new car takes into account the compensation made to the salesperson who managed the sale. This compensation is an example of what type of cost?
A): dealer cost
B): shipping cost
C): manufacturing cost
D): sales commission​

Answers

It’s A, you just gotta read the question carefully and pay attention to the text details

The effect of the time of day a science class is taught on test scores is being
studied in an experiment. Which of these is most likely to be an extraneous
factor that could also affect test scores?
A. Student clothing
B. Color of the school hallways
C. Principal of the school
D. Length of class period

Answers

Answer:D

Step-by-step explanation:

The effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

What is a test analysis?

A test score is a piece of data, typically a number, that describes how well a test-taker performed. It is "a summary of the evidence contained in an examinee's replies to the test items that are connected to the construct or constructs being tested," according to one formal definition.

Given that the effect of the time of day a science class is taught on test scores is being studied in an experiment.

The time of the class periods is affected by the length of the class period. The length of the class period of one subject should be optimum so that students get the concepts easily without getting bored.

Therefore, an effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

To know more about a test analysis follow

https://brainly.com/question/22516544

#SPJ2

Dawn is verifying the accuracy of her paycheck. She
earns $14 an hour and works 40 hours each week.
Her biweekly deductions are Social Security 6.2%,
Medicare 1.45%, federal withholding tax $73.25,
state withholding tax $22.50, and health insurance
$37.45. What is her annual net pay if she is paid
biweekly



This is for financial algebra senior year high school. If anyone can help me understand this and please no random links

Answers

Answer:

$753.34

Step-by-step explanation:

trust me it is $753.34

There are 5 yellow pens 6 blue pens 9 green pens she picks 1 at random and does not replace it then she picks another pen

Answers

What’s the question here?

How many unique triangles can be drawn side lengths of 2 inches and 4 inches. With an angle of 40degrees between given sides

Answers

Answer:

hope it help mark me as a brill

Step-by-step explanation:

Hello it would be 3 squares

The answer is 1

The drawing below shows a side view of a picture frame on Mary's desk support 16 4.2 which of the following is the closest to the length of the frame support

Answers

Answer:

17 cm

Step-by-step explanation:

Math STAAR Readiness 8 grade Quiz: The drawing below shows a side view of a picture frame on Mary’s desk.  Closest to the length of the frame support.

Answer:

17 or D

Step-by-step explanation:

a^2+b^2=c^2

4.2^2+16^2=c^2

17.64+25.6=c^2

c^2=273.64

c=√273.64

c=16.5 which can be rounded up to 17 or D

and I am reviewing for the math staar.

PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES

Answers

Answer:

y = ½x + 8

Step-by-step explanation:

The equation of the function can be written in the slope-intercept form y = mx + b.

m = slope = change in y/change in x

b = y-intercept = the value of y when x is zero

✔️From the table, when x = 0, y is 8.

Therefore,

y-intecept (b) = 8

✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):

m = (9 - 6)/(2 -(-4))

m = 3/6

m = ½

✔️Next is to plug in the values of m and b into y = mx + b.

Thus:

y = ½x + 8

In the year 2003, a person bought a new car for $25000. For each consecutive year
after that, the value of the car depreciated by 12%. How much would the car be worth
in the year 2006, to the nearest hundred dollars?

Answers

Step-by-step explanation:

multiply 25000×12/10

and 2003-2006 is 3 years

next steps are in the attached pic

Answer:

$17000

Step-by-step explanation:

Given

Initial value PV = $25000Depreciation rate r = 12% per yearTime t = 2006 - 2003 = 3 yearsFV = ?

Required formula and solution

FV = PV*(1 - r)^tFV = 25000*(1 - 0.12)^3 = $17036.80 ≈ $17000 (rounded)

15 + z = 17.04

What is Z?

Answers

Answer:

2.04

Step-by-step explanation:

To find this we have to subtract 15 from both sides.

15 + z = 17.04

-15        -15

z = 2.04

Calculate the exact value of cos(a−b) given that sin a=12/13 with π/2

Answers

Answer:

Step-by-step explanation:

[tex]sin ~a=\frac{12}{13} ,\frac{\pi}{2} <a<\pi\\a ~is~in~2nd~quadrant.\\sin~b=\frac{3}{5} ,0<b<\frac{\pi}{2} \\b~is~in~1st~quadrant.\\cos~b=\sqrt{1-sin ^2b} \\=\sqrt{1-(\frac{3}{5} )^2} \\=\sqrt{\frac{25-9}{25} } \\=\sqrt{\frac{16}{25} } \\=\frac{4}{5} ,\\cos~a=-\sqrt{1-sin^2 a} \\=-\sqrt{1-(\frac{12}{13} )^2} \\=-\sqrt{\frac{169-144}{169} } \\=-\sqrt{\frac{25}{169} } \\=-\frac{5}{13} \\cos(a-b)=cos~acos~b+sin~a sin~b\\=\frac{-5}{13}* \frac{4}{5} +\frac{12}{13}* \frac{3}{5} \\=?[/tex]

The answer of 4.38 x 10^4 in ordinary notation is

Answers

4,38 * 10⁴ = 4,38 * 10 000 = 43 800

How do u convert kilometres into minutes
Example 0.8kilometer what till ut b in minutes woukd u times by 70

Answers

Answer:

It is not possible

Step-by-step explanation:

Given

0.8km

Required

Convert to minutes

In conversion, only units of the same metric can be converted.

i.e.

You can convert meters to miles (they both measure distance)

You can convert seconds to hours (they both measure time)

You can convert kilogram to pounds (they both measure weight)

But in the given question, you attempt to convert from distance to time.

This is not possible, because time and distance are different measurements

Suppose that you're paid $63.24 for 7 hours of work. What is your hourly pay rate?

Answers

Answer:

$9.03

Step-by-step explanation:

Using x for pay rate

63.24=7x Divide both sides by 7

x=9.03

A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.

Answers

Answer:

a=41.2

Step-by-step explanation:

a^2 + (30)^2. =51^2

a^2+900=2601

-900. -900

a^2= +\- square root 1701

a=41.243181

a=41.2

Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.

Answers

The answer should be 2.35
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