As the students were approaching the park, they noticed a huge tower that was just
being completed. Lucas and Jacob were part of the group responsible for looking at
advertising. They couldn’t help but to think, one of the main attractions of the park
would be the ride involving this tower. It was a bright, sunny day. As they got off
the bus, they collected the mathematical materials provided by their teacher. These
materials included: pencil, paper, eraser, calculator, measuring tape, a
clinometer (a tool used to measure vertical angles). They walked through the
park until they reached the shadow of the tower. They looked up and couldn’t
believe how high it was

Q: If they are going to advertise, the height of the tower in a brochure that is
being created, they want to be sure of their answer. Describe how they
could use the materials they have and trigonometry to determine the
height of the tower. The explanations should include a detailed diagram,
clear step by step instructions making use of terminology appropriately
and even examples showing the calculations to be used to determine
the height.

Answer:

Not similar.

Step-by-step explanation:

The answer is D.

The options for the box and whisker plots aren't given ; however using technology, a box and whisker plot could be generated from the data.

Answer:

Step-by-step explanation:

Given :

45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44

Using technology, the box and whisker plot generated for the data is attached below.

The 5 - number summary is also given below :

Minimum: 39

Median: 45

First quartile: 42

Third quartile: 47

Interquartile Range: 5

Maximum: 49

Outliers: none

Answer:

Step-by-step explanation:

Both the angles will be 105°

Just add up the given angles, subtract the result by 360, and divide by 2.

Answer:

C

Step-by-step explanation:

As n → ∞

[tex]\frac{85}{n}[/tex] , [tex]\frac{75}{2n}[/tex] , [tex]\frac{15}{2n^2}[/tex] → 0

Then

15 - 35 - 0 + 55 + 0 + 0

= - 20 + 55

= 35 → C

Answer:

[tex]x^3y^{-7} = \frac{x^3}{y^7}[/tex]

Step-by-step explanation:

Given

[tex]x^3y^{-7}[/tex]

Required

The equivalent

We have:

[tex]x^3y^{-7}[/tex]

Apply the following rule of exponents

[tex]a^{-b} = \frac{1}{a^b}[/tex]

So, we have:

[tex]x^3y^{-7} = x^3 * \frac{1}{y^7}[/tex]

[tex]x^3y^{-7} = \frac{x^3}{y^7}[/tex]

Answer:

the 2nd one or B

Step-by-step explanation:

Answer:

Tan X = 14/48 = 7/24

Answered by GAUTHMATH

Answer:

7/24

Step-by-step explanation:

tan(x) is the ratio of the opposite leg to the adjacent leg. The opposite leg of x's measure is 14, and the adjacent leg to x has a measure of 48. (It's not 50 since 50 is opposite the right angle, meaning that it's the hypotenuse.)

14 / 48 = 7 / 24. Simplest form is 7/24.

Answer:

250°

There are 250°……………

Answer:

n = 0

Step-by-step explanation:

[tex]-\frac{3}{4}(8n+12)=3(n-3)\\\\-6n-9=3n-9\\\\-9n-9=-9\\\\-9n=0\\\\ n=0[/tex]

Answer:

n = 0

Step-by-step explanation:

-3/4(8h + 12) = 3(n - 3)

-6h - 9 = 3n - 9

-6h - 3n = -9 + 9

-9n = 0

n = 0

Answer:

C

Step-by-step explanation:

You are correct

*Per something means multiplication*

20 per 4 weeks = 20 × 4

Answer:

5/2, 7/3, 9/4, 11/5, 13/6, 15/7,17/8

Step-by-step explanation:

Answer:

2/1

2.5

2whole number6/4

Answer:

hey mate !!!

The pattern followed is

4x2-2= 8-2=6

6 x 2-3= 9

9 x 2- 4= 14

14 x 2-5 = 23

23 x 2-6= 40

40 x 2-7= 73

So, the next number will be 73.

Answer:

1.5 cm

Step-by-step explanation:

Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3

so UV = 3/2 = 1.5 cm

Answer:

Step-by-step explanation:

change in x (horizontal) = 4 - 1 = 3

Change in y (vertical)  = 9 - 3 = 6

Slope = change in x / change in y

slope = 3 / 6 = 1/2

Answer:

y = 6x-7

Step-by-step explanation:

product of 6 and x

6x

7 less than the product of 6 and x

6x-7

y = 6x-7

Answer:

I think that ,The volume is 49.5 cm3

Answer: 17/60

Step-by-step explanation:

Change all of the fractions to have a common denominator:

LCM of 10, 12, 15 is 60

You get 12/60, 25/60, and 54/60.

54/60 is what he had at the start, and so you can just subtract what he gave away

54/60-12/60=42/60

42/60-25/60=17/60

17 is a prime number so you cannot simplify the fraction

Answer:

17/60

Step-by-step explanation:

First we find the LCM of 10, 12, and 5, which is 60.

He started with 54/60.

He gave away 12/60, leaving 42/60.

He gave away another 25/60, leaving 17/60.

He had 17/60 of a pizza left over.

Answer:

a) x=3

b) x=4.5

Step-by-step explanation:

2(5x – 3) = 24

10x-6=24

10x=30

x=3

5(2x + 1) = 50

10x+5=50

10x=45

x=4.5

Answer:

31.8

Step-by-step explanation:

side AD : side EH

13 : 46

side BC : side FG

9 : x

these ratios work because these are similar quadrilaterals and their sides correlates when the figures are rotated to match the other figure's position.

13/46 = 9/x

x = 31.846

x = approx. 31.8

Answer:

FG = 31.8

Step-by-step explanation:

[tex]\frac{13}{46} = \frac{9}{x}[/tex]

13x = 46 * 9

13x = 414

x = 31.8

Answer:

D. 638 in^2

Step-by-step explanation:

total surface area is just the sum of areas of each side of the cube

opposite sides have the same area

top and bottom = 9*11

sides = 11*9

front and back = 11*11

SA = 2(9*11 + 11*9 + 11*11)

SA = 2(99 + 99 + 121)

SA = 2(319)

SA = 638 in^2

Answer:

arithmetic

Step-by-step explanation:

because it bounced double

Answer:

Step-by-step explanation:

You already know the formula for area of a triangle, so we will write it down and then fill it in with the info given.

[tex]A=\frac{1}{2}bh[/tex] and filling in:

[tex]54=\frac{1}{2}b(12)[/tex] and we can simplify that a bit by dividing 12 by 2 on the right side to get:

54 = 6b and dividing:

b = 9 inches

Answer:

[tex] \sin(45) = \frac{o}{h} \\ 0.7 = \frac{x}{18 \sqrt{2} } \\ 0.7 \times 18 \sqrt{2} = x \\ 0.7 \times 25.45 = x \\ 17.8 = x[/tex]

[tex] {x}^{2} + {y}^{2} =( 18 \sqrt{2} ) ^{2} \\ {17.8}^{2} + {y}^{2} = 648 \\ 316.84 + {y}^{2} = 648 \\ {y}^{2} = 648 - 316.84 \\ {y}^{2} = 331.16 \\ y = 18.19[/tex]

Answer:

Domain: (-2, 2]

Range: (-5, 4]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, we see that our x values span from -2 to 2. Since -2 is an open dot and 2 is a closed dot, they are exclusive and inclusive, respectively:

(-2, 2] or -2 < x ≤ 2

According to the graph, we see that our y values span from -5 to 4. Since -5 is an open dot and 4 is a closed dot, they are exclusive and inclusive, respectively:

(-5, 4] or -5 < y ≤ 4

Answer:

68,5*4=274 nên cái ao đó là hình vuông

Step-by-step explanat

4*a là chu vi hình vuông

9966004321 is larger than 1 billion by 9,866,004,321.

Comparison of numbers defines the similar properties between two numbers, and the number is larger than, smaller than or equal to another number.

In Math " how much larger " indicates that we have to find the difference. So, we subtract the smaller value from the larger value.

According to the given question

We have number 9966004321

1 billion = 1,000,000,000

So, for finding how much 9966004321 is larger than 1 billion we will subtract 1 billion from 9966004321.

Therefore,

9966004321 - 1,000,000,000 = 9,866,004,321

Hence, 9966004321 is larger than 1 billion by 9,866,004,321.

Learn more about comparison of two numbers here:

https://brainly.com/question/17329628

#SPJ2

We need to form a system of equations:

3x + 2y = 2

2x + 3y = 4

Now, we can multiply the first equation by 2, and the second equation by 3, to even out the coefficients by the variables (to make them the same thing).

6x + 4y = 4

6x + 9y = 12

Next, we can subtract the second equation from the first. We get:

0x - 5y = -8

Then this becomes:

-5y = -8

÷-1    ÷-1

5y = 8

÷5    ÷5

y = 1.6

Substitute 1.6 for y in one of the equations:

2x + 3(1.6) = 4

2x + 4.6 = 4

2x = -0.6

÷2      ÷2

x = -0.3

Answer: [tex]\Large \boldsymbol{(-0,4 \ \ ; \ \ 1,6)}[/tex]

Step-by-step explanation:

[tex]\displaystyle \Large \boldsymbol{} - \left \{ {{3x+2y=2} \ \ |\times3\atop {2x+3y=4}\ \ |\times2} \right. => \\\\\\\ 9x-4x+6y\!\!\!\!\!\!\diagup-6y\!\!\!\!\!\!\diagup=6-8 \\\\5x=-2 \\\\x=-0,4 \ \ ; \ \ y=(2+1,2):2 =1,6[/tex]

Answer:

The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.

Step-by-step explanation;

The range of a function is the set of y-coordinates of all the points int he graph of the function.

Look at the graph. The vertex is point (2, -3).

The graph does not go lower than that point.

The lowest y-coordinate is -3.

The graph goes up forever on both sides until infinity.

The range is all numbers greater than or equal to -3.