shira was riding the screamer when it broke down. her seat was 53 jorizontal feet from the central support pole. What was her seat's angle of rtation. Is there more tahn one possible solutions

Answer:

..........

Step-by-step explanation:

Given:

The height of the ladder = 15 m

When the ladder leans at point B from the ground level, then it makes an angle  of 52° with the horizontal

When the ladder leans at point A from the ground level, then it makes an angle  of 85° with the horizontal

To find:

The distance between point A and point B is?

Solution:

To solve the above-given problem, we will use the following trigonometric ratio of a triangle:

Referring to the figure attached below, we will assume,

BD = AD = 15 m = height of the ladder

∠BDC = 52° = angle of elevation to the foot of the window

∠ADC = 85° = angle of elevation to the top of the window

Now,

In ΔBCD, we have

Opposite side = BC

Hypotenuse = BD = 15 m

θ = 52°

∴

and

In ΔACD, we have

Opposite side = AC

Hypotenuse = AD = 15 m

θ = 85°

∴

∴ The height of the window, AB = AC - BC = 14.94 m - 11.82 m = 3.12 m

Thus, the distance between point A and point B is 3.12 m.

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Also View:

A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.

answer:

a. √36

step-by-step explanation:

√36 = rational — the answer to this is 6 and it is a whole number

-√12 = -3.46410161514... — it is repeating without an order so irrational

5/0 = irrational — the denominator cannot be a 0

π = irrational — pi is always irrational

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There are two ways to do this.

The quicker way is to use the remote interior angle theorem. We have the interior angles 53 and 103 which add to 53+103 = 156 which is exactly the exterior angle VUX.

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The slightly longer way involves finding angle TUV first. Let's say this is equal to the variable y

Adding any three interior angles of a triangle always gets us 180

53+103+y = 180

y+156 = 180

y = 180-156

y = 24

Angle TUV is 24 degrees

The angle supplementary and adjacent to this is angle VUX, which I'll call z

z+y = 180

z = 180-y

z = 180-24

z = 156

So this is another way to get to the answer 156 degrees.

Answer:

arctan(4/3) ≈ 0.9272

Step-by-step explanation:

On comparing eqⁿ to y = mx + c,

Slope of 2x + 4y = 7 is -2/4 = - 1/2

Slope of x + 2y = 5 is - 1/2

Therefore, if A is the angle b/w them,

A = arctan | (m1 + m2)/(1 - m1m2) |

A = arctan | (-½ - ½)/(1 - ¼) |

A = arctan (4/3)

Answer:

[tex]A = P(1 + \frac{r}{n} )^{nt}\\\\P = 1000\\r = 3\% = \frac{3}{00} = 0.03\\n = 1\\t = 10\\\\A = 1000( 1 + \frac{0.03}{1} )^{10}= 1000(1.03)^{10} =\$1343.92[/tex]

Answer:

C=89.2

Step-by-step explanation:

The formula of the circumference of a circle is C=2piR (or C=piD). Now, when calculating, plug in the numbers, giving you C=2pi14.2. Multiply everything, you get a super long irrational number; just round. You will get 89.2.

For circle A, attribute used is right angle.

For circle B, attribute used is parallel lines.

A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.

A square, rectangle and parallelogram are quadrilaterals. Opposite sides of square, rectangle and parallelogram are parallel to each other. Adjacent angles of square, rectangle and parallelogram are supplementary. Diagonals of square, rectangle and parallelogram bisect each other.

Circle A consists of triangles.

By observing clearly that in circle A there are two right angled triangles.

For circle A, attribute used is right angle.

Circle B consists of 1 square, 1 rectangle and 2 parallelogram.

We know that in a square, rectangle and parallelogram, there are two pair of parallel lines. Opposite sides of square, rectangle and parallelogram are parallel to each other.

For circle B, attribute used is parallel lines.

Find out more information about Similarities of square, rectangle and parallelogram and right triangle here

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Answer:

x = 3

Step-by-step explanation:

log 10x + log 2 = log 60

Subtract log 2 from each side

log 10x + log 2 -log 2 = log 60 - log 2

log 10x  = log 60 - log 2

We know  that log a - log b = log (a/b)

log 10 x = log (60/2)

log 10x  = log 30

We know log a = log b  that a = b

10x = 30

Divide by 10

10x/10 = 30/10

x =3

Answer:

a. 4

b. 5

Step-by-step explanation:

a. r = √(112/7) =√16 =4

b. 4x+8 = 28

4x = 28-8

4x = 20

x= 5

The value of X algebraically is 5 and the common difference is;4.

There are three parameters which differentiate between which geometric sequence we're talking about.

The first parameter is the initial value of the sequence.

The second parameter is the quantity by which we multiply previous term to get the next term.

We are given that  terms shown below are the first three terms of a geometric sequence whose common ratio is positive.

7, 4x+8, 112

Therefore, the common difference is;

r = √(112/7) =√16

r =4

Now, 4x+8 = 28

4x = 28-8

4x = 20

x= 5

The value of X algebraically is 5.

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Answer:

7.2 miles

Step-by-step explanation:

See comment for complete question.

Let:

[tex](x,y) \to Havertville[/tex]

Northtown will be represented as:

[tex](x+6,y+4)[/tex] --- i.e 6 units right and 4 units up

The distance both is calculated using:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

This gives:

[tex]d = \sqrt{(x - (x + 6))^2 + (y -( y + 4))^2}[/tex]

Remove brackets

[tex]d = \sqrt{(x - x - 6)^2 + (y - y - 4)^2}[/tex]

Evaluate like terms

[tex]d = \sqrt{(-6)^2 + (-4)^2}[/tex]

[tex]d = \sqrt{36 + 16}[/tex]

[tex]d = \sqrt{52}[/tex]

[tex]d = 7.2\ units[/tex] -- approximated

From the question, we understand that:

[tex]1\ unit = \ mile[/tex]

So:

[tex]d = 7.2\ miles[/tex]

Step-by-step explanation:

x = 55

I hope this is helpful

Answer:

sue = 12

lily = 10

heather = 5

Step-by-step explanation:

'l' = lily's age

'h' = heather's age

sue = 'l + 2' but, since 'l' is 2h we can say sue's age is '2h+2'

l = 2h

2h+2 + 2h + h = 27

5h = 25

h = 5

l = 2(5) = 10

sue is 10+ 2, or 12

Answer:

all you need to do is look over your notes continue to partice as much as you can

Step-by-step explanation:

you got this

Answer:

the answer is in the picture

Answer:

The probability that you will roll a 4 is 1/6

Step-by-step explanation:

A basic number cube has 6 sides.

Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6

The 4 is only on one out 6 of the sides so it is 1/6 probability

Please considering pressing the thank you button if it helped.

Answer:

y = -1x + 13

Step-by-step explanation:

y = -1x + b

5 = -1(8) + b

5 = -8 + b

13 = b

Answer:

The ones selected are correct

Answer:

whole number if you can pick more choices it would be A, C, and D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The answer would be 20 mi

Step-by-step explanation:

a^2+b^2=c^2

a^2=144

b^2=256

C^2=400

Then you find the square root of ABC to find that C is 20

Answer:

C.) Side-Angle-Side (SAS)

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

its decimal expansion terminates after 9 and it can also be represented as fraction.

Answer:

Rational

Step-by-step explanation:

Irrational numbers are numbers that cannot be written as a fraction (denominator of 1 does not count). 2.99 can easily be written as a fraction (e.g.  [tex]\frac{299}{100}[/tex]) and therefore is rational.

Answer:

Step-by-step explanation:

Find the last term of the sequence.

a1 = 8

d = -7

n = 30

a30 = 8 + (n - 1)*(-7)

a30 = 8 + (30 - 1)*-7

a30 = 8 + 29*-7

a30 = 8 - 203

a30 = -195

Sum = (a + L)*n/2

Sum = (8 + -195) * 30/2

Sum = - 187  * 15

Sum = - 2805

tan( 31 ) = x / 39

0.600860619 = x / 39

x = 0.600860619 × 39

x = 23.433564141

______________________________

Round to the nearest tenth :

x = 23.4

Round to the nearest hundredth :

x = 23.43

Answer:

See below.

Step-by-step explanation:

454.95x.15=68.24 DISCOUNT

454.95-68.24=386.71 Price After Discount

386.71x.0825=31.91 Sales Tax

386.71+31.91=418.62 Total Cost

Step-by-step explanation:

your question is quite easy but the way you put it makes it complicated for me to understand. please can you rewrite it in a more easier way

Answer:

The probability that the second light will be red when she reaches it is 0.4

Step-by-step explanation:

Given the two events are independent

Hence, the probability of both the red light is (P1) * (P2) = 0.22

The probability of first light being red = probability of both the intersections to have red light + probability that the first light will be rerd and the second light will not be red

probability of first light being red =  0.22 + 0.33 = 0.55

(P1) * (P2) = 0.22

Substituting the given values, we get -

0.55 * P2 = 0.22

P2 = 0.4

Answer:

Any picture ?

Step-by-step explanation:

Answer: [tex]\$60[/tex]

Step-by-step explanation:

Given

One ticket costs $20

Susan buys 4 tickets with 25% discount

Cost of 4 tickets is [tex]4\times 20=\$80[/tex]

On applying discount, it costs

[tex]\Rightarrow 80-80\times 0.25\\\Rightarrow 80(1-0.25)\\\Rightarrow 80\times 0.75=\$60[/tex]

So, total cost of tickets is [tex]\$60[/tex].