Please help! To determine the height of the CN Tower in Toronto, Ontario, Canada a person stands away from the base of the tower and measures the angle of elevation to the top of the tower to be 60°. After moving 118 meters closer to the tower, the angle of elevation to the top of the tower is 70°. A. How tall is the CN tower? B. How far was the person standing from the base of the tower when each angle measurement was taken?

9514 1404 393

Answer:

  (b)  48

Step-by-step explanation:

In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.

  x = √(36·64) = √36×√64 = 6×8

  x = 48

_____

All of the triangles are similar, so the ratios of corresponding sides are the same.

  short side/long side =  x/64 = 36/x

  x^2 = (64)(36) . . . .  as above

Answer:

yes

Step-by-step explanation:

I don't really know how to explain it but you see, linear means that all your variables are only to the first power, and when variables are only to the first power, their graphs will always make a straight line.

I hope the graph helps.

Answer:

Answer:

The answer is 0

Step-by-step explanation:

Or c on edge.

Answer:

i'll try my best to help !!

Given:

The expression is

[tex]x+4x-3+3x^2-2x[/tex]

To find:

The value of given expression when x=5.

Solution:

We have,

[tex]x+4x-3+3x^2-2x[/tex]

Substituting x=5 in the above expression, we get

[tex]=(5)+4(5)-3+3(5)^2-2(5)[/tex]

[tex]=5+20-3+3(25)-10[/tex]

[tex]=5+20-3+75-10[/tex]

On further simplification, we get

[tex]=(5+20+75)+(-3-10)[/tex]

[tex]=100+(-13)[/tex]

[tex]=100-13[/tex]

[tex]=87[/tex]

Therefore, values of the given expression at x=5 is 87.

Answer:

Which of the following is NOT a triangle congruence postulate or theorem?

4) none of these

The choices which are not triangle congruence postulate are: 3)Angle Side Side

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

The reflexive property of congruence states that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

We need to find the choices which are not triangle congruence postulate or theorem.

The postulates that are used to prove the triangles congruent are,

1)Side Side Side

2)Side Angle Side

3)Angle side Angle

4)Angle Angle Side

5)Hypotenuse Leg

Other than these postulates none can be used to prove the triangles congruent.

The choices which are not triangle congruence postulate are:

3)Angle Side Side

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ2

Answer:

$19.55

Step-by-step explanation:

17*0.15=2.55

17+2.55=19.55

Answer:

$20

Step-by-step explanation:

The original price is p.

Now, a discount of 15% is = 100%-15% = 85% of the original price.

0.85p = 17

p = 17/0.85

p = 20

$20

Answer:

Angle 1, 4, 5,7,10,12,13,15 : 133°

Angle 2,3,6,8,9,11,14,16 :47°

Step-by-step explanation:

Answer:

Step-by-step explanation:

So

Answer: The equation of motion is

 s(t) = (1/2)a·t² +v₀·t +s₀

Step-by-step explanation: Hope this helped!

Answer:

33 is the mode of these numbers.

Step-by-step explanation:

The only number which appears multiple times is 33, so it is the mode.

I hope it helps ❤❤

Answer:

$88

Step-by-step explanation:

first, you find 20% of 57 which = 11.4

then subract it with 57 which looks like 57-11.4 = 45.6

= 45.6

first, you find 20% of 53 which = 10.6

then subract it with 53 which looks like 53-10.6 = 42.7

= 42.4

then you add them both  which = 45.6+ 42.4= 88

Answer: =

Step-by-step explanation: because if you do the square root of 4.41 it is 2.1

Answer: I disagree

Step-by-step explanation:

I disagree with the statement from Cristian. When you raise a base number to a power of 3, it is possible for the number to get smaller.

For example, let's say our base number is negative 2, that is -2. Now let's find the cube of the number. This will be:

= -2^3 = -2 × -2 × -2 = -8

In this example, we can see that -8 is smaller than -2. This shows that the statement by Cristian is not correct.

denoted 5

Answer:

15

Step-by-step explanation:

(-7,0) and (8,0) are on the opposite side of origin of x axis

d = 8 - -7 = 15

Answer:

The answer is B

Step-by-step explanation:

I got this answer right on ed2020

Answer:

5) 6

6)-70

7)5

8)-295

9)1

10)4

Step-by-step explanation:

5)10-4=6

6)-3(-5)^2+5=-70

7)-3(0)^2+5=5

8)-3(10)^2+10=-295

9)1/5=0.2

0.2(-5)+2=1

10)0.2(10)+2=4

Answer:

$837.5

Step-by-step explanation:

Step one:

given data

He makes a guaranteed salary of $400 per week

Commision on top of his base salary equal to 25% of his total sales for the week

Required

His total salary when he made sales of 25%

Step two

let us solve for 25% of $1750 made

=25/100*$1750

=0.25*$1750

=$437.5

Hence his total payment for the week will be

=$400+$437.5

=$837.5

Also, if the sales is $x his pay would be

let y be his pay

y=0.25x+400

Answer:

See answers below:

Step-by-step explanation:

Using corresponding angles properties, angles opposed by the vertex, and supplementary angle properties, we get:

<1 = 75 degrees

<2 = 105 degrees

<3 = 44 degrees

<4 = 136 degrees

<5 = 44 degrees

<6 = 90 degrees

<7 = 46 degrees

<8 = 75 degrees

<9 = 105 degrees

<10 = 75 degrees

<11 = 59 degrees

<12 = 46 degrees

<13 = 75 degrees

<14 = 105 degrees

<15 = 44 degrees

<16 = 136 degrees

<17 = 44 degrees

<18 = 136 degrees

Answer:

1) 8x^2-10x-7

2) 30[tex]x^{9\\}[/tex]- 60[tex]x^{5}[/tex]

3) -10y^6 - 45y^5 + 25y^4

4) 30x^9 - 60x^5

5) 30x^9 - 60x^5

Step-by-step explanation:

1) (2x+1)(4x-7), we will multiply each term from the first parenthesis against every term in the second.

2x*4x = 8[tex]x^{2}[/tex], 2x*-7 = -14x

1(4x-7) = 4x-7.

8x^2-14x+4x-7 = 8x^2-10x-7

2) 10[tex]x^{5}[/tex](3x^4-6)

10x^5(3x^4) = 30x^9

10x^5(-6) = -60x^5

30[tex]x^{9\\}[/tex]-60[tex]x^{5}[/tex]

3) -5y^4(2y^2+9y-5)

-5y^4(2y^2) = -10y^6

-5y^4(9y) = -45y^5

-5y^4(-5) = 25y^4

-10y^6 - 45y^5 + 25y^4

4) 10x^5(3x^4 - 6)

10x^5(3x^4) = 30x^9

10x^5(-6) = -60x^5

30x^9 - 60x^5

5) (3y - 5z)(8y - 3z) =

3y*8y = 24y^2

3y*(-3z) = -9yz

-5z(8y) = -40yz

-5z(-3z) = 15z^2

24y^2 + 15z^2 - 49yz

Answer:

I say 1. and 2

Step-by-step explanation:

Have a good day :3

Answer:

if you want the exact number that will be 3.3 but if you want it rounded it will be 4

Answer:

The last part.

Step-by-step explanation:

The error is only at the last part. Basically the answer part.

The answer should be —

[tex]13 \sqrt{5} [/tex]

We don't multiply the square roots when adding or subtracting. That'd contradict the rules.

Here, we let the square root of five as x-term.

[tex] \sqrt{5} = x[/tex]

[tex]4 \sqrt{5} + 9 \sqrt{5} = 4x + 9x[/tex]

As we add up, we would get 13x. Thrn we convert x-term back to square root of five.

The answer would be —

[tex]13x \\ x = \sqrt{5} \\ 13 \sqrt{5} [/tex]

Remember that we don't multiply the square roots when adding or subtracting.

Answer:

The answer to the question provided is

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

Answer:

-3r^2+5r+4rs-s^2

Step-by-step explanation:

expand the brackets

and collect like terms

Answer:

2,721,911.31

Step-by-step explanation:

The formula for Population growth rate is given as:

P(t) = Po(1 + r)^t

Where

Po = Initial population = 1,300000

P(t) = Population after t years

r = growth rate = 3%

t = time in years = 25

Hence,

P(25) = 1,300,000(1 + 0.03)^25

P(25) = 2,721,911.3086

P(25) Approximately = 2,721,911.31

The projected population of the county be in 25 years is 2,721,911.31