the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees. If the vertical distance from the bottom to the top of the mountain 689 feet, what is the length of the Gondola ride. Round the nearest foot.
A. 258 ft
B. 634 ft
C. 1839 ft
D. 143 ft

Answer:

[tex]4.28 \times 10^{1}[/tex]

Step-by-step explanation:

[tex]42.8 \times 10^0=42.8[/tex]

[tex]4.28 \times 10^{1}=42.8[/tex]

Answer:

42.8 x 10^0

Step-by-step explanation:

A. Standard Form

Ax + By = C.

A, B, C are integers (positive or negative whole numbers)

No fractions nor decimals in standard form.

Traditionally the "Ax" term is positive.

The answer is 27y^9/x^3

if multiple choice the answer is 27x^6 y^9/x^9

Pictures so you can see

Answer:

[tex]=\frac{27y^9}{x^3}[/tex]

Step-by-step explanation:

[tex]\left(\frac{3x^2y^3}{x^3}\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{3x^2y^3}{x^3}\right)^3=\frac{\left(3x^2y^3\right)^3}{\left(x^3\right)^3}\\=\frac{\left(3x^2y^3\right)^3}{\left(x^3\right)^3}\\\mathrm{Simplify}\:\left(3x^2y^3\right)^3:\quad 27x^6y^9\\=\frac{27x^6y^9}{\left(x^3\right)^3}\\\mathrm{Simplify}\:\left(x^3\right)^3:\quad x^9\\=\frac{27x^6y^9}{x^9}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]

[tex]\frac{x^6}{x^9}=\frac{1}{x^{9-6}}\\\frac{x^6}{x^9}=\frac{1}{x^{9-6}}\\=\frac{27y^9}{x^{9-6}}\\\mathrm{Subtract\:the\:numbers:}\:9-6=3\\=\frac{27y^9}{x^3}[/tex]

Answer:

6. The relationship is they multiply the first box of glasses by the amount of boxes 15glasses = x 3,

30 glasses = x6

45 glasses = x 9

60 glasses = x 12

75 glasses = x15

= 30, 45, 60,75

But in between glass amount 45 +60 they show a midpoint amount of glasses in a box where 45 = 9n  then 55 = 11n and stands out as  11 boxes as an offset amount of glasses where 5 are in each box.

7. Robert is incorrect as 25 x 5 = 125 and not 120

as 120 and 125 glasses can be divided to check

125/25  = 5 and could be correct if he wanted spare glasses = 1 spare box.

But when we check 120/25 =  4.8 so this would be too many boxes as he would only need 24 boxes.

24 x 5 = 120 glasses.

Step-by-step explanation:

Answer:

radius

Step-by-step explanation:

AJ is half the distance across the circle (radius).

Answer:

Step-by-step explanation:

A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;

[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]

Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;

[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]

The length of the unknown leg in the right triangle is 8

Answer:

a. 8 yd

Step-by-step explanation:

Hypotenuse = [tex]\sqrt{87}[/tex]

Length = [tex]\sqrt{23}[/tex]

x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²

x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²

x² = 87 - 23

x² = 64

[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]

x = 8 yd

Answer:

40 adults and 140 kids

Step-by-step explanation:

Answer:

40 adults

Step-by-step explanation:

40 adults and 140 kids

20 times 7 is 140

40 plus 140 is 180

Answer:

Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:

a. So in your case, starting from the bottom, the slope is:

If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)

So the coordinates of the two points would be:

(0,0) and (13, 8)

Using the formula we would have:

b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.

However, if you proportionally increase the width and the height, then the slope will remain the same.

Step-by-step explanation:

Answer: -17 degrees

Step-by-step explanation:

109-126 = -17

Answer:

-17 degrees

Step-by-step explanation:

since it is 126 degrees lower, you minus 126 from 109.  109-126= -17

Answer:

9

Step-by-step explanation:

4x- 7

Let x=4

4*4 - 7

16 -7

9

Answer:

9

Step-by-step explanation:

4(4)-7=16-7=9

Answer:

0.24

Step-by-step explanation:

Answer:

5, 7, 9

Step-by-step explanation:

Using the information given we get:

[tex]5x-7=2z[/tex]

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

[tex]5x-7=2(x+4)\\5x-7=2x+8\\[/tex]

Add 7 to both sides

[tex]5x=2x+15[/tex]

Subtract 2x from both sides

[tex]3x=15[/tex]

Divide both sides by 3

[tex]x=5[/tex]

Using these equations:

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

and

[tex]x=5[/tex]

We get:

[tex]x=5\\y=7\\z=9[/tex]

Answer:

35 adult shirts were sold

Step-by-step explanation:

10y+15a=2375

y+a=220

y=220-a

10(220-a)+15a=2375

2200-10a+15a=2375

2200+5a=2375

5a=175

a=35

35 adult shirts were sold.

Answer:

Step-by-step explanation:

[tex]y^{4}\sqrt{16x^{8}y^{12}z^{4}}=y^{4}\sqrt{4*4*x^{4*2}y^{6*2}z^{2*2}}\\\\ =y^{4}\sqrt{4^{2}*(x^{4})^{2}*(y^{6})^{2}*(z^{2})^{2}}\\\\=y^{4}*4*x^{4}*y^{6}*z^{2}\\\\=4x^{4}y^{4+6}z^{2}\\\\\\=4x^{4}y^{10}z^{2}[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Give me brainly

Answer:

10,000

Step-by-step explanation:

3 years x 20% = 60%

60% of 25000 is 15000

25000 -15000 =  10,000

Answer: [tex]t=-\frac{1}{2}r- 1[/tex]

Step-by-step explanation:

For a lineal equation [tex]t=mr+n[/tex]

For r=0 and t=-1

[tex]-1=m(0)+n\\n=-1[/tex]

For r=-2 and t=0

[tex]0=m(-2)-1\\m(-2)=1\\m=-\frac{1}{2}[/tex]

Them [tex]t=-\frac{1}{2}r- 1[/tex]

???? The output for 6 is 1????

Answer:

1/6

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

or 130. let me know if I'm wrong

If the measure of arc AB is 50°, then the measure of its inscribed angle ACB is, 130°

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

The measure of arc AB = 50°

The measure of its inscribed angle ACB = ?

Here, ACBP will make a quadrilateral

And, the sum of opposite angles of quadrilateral is 180°

So, ∠ACB + ∠AB = 180°

⇒   ∠ACB = 180° - 50°

⇒   ∠ACB = 130°

Hence, the measure is 130°

To know more about angle check:

https://brainly.com/question/28451077

#SPJ2

sorry i did the best i could

Answer:

False.

Step-by-step explanation:

A point on the cordinate plane needs an x-coordinate and a y-coordinate.

The point is (x1, y1) not just x1.

The statement is true because the point-slope form of a line is y - y₁ = m(x -x₁), where m is the slope and x1 is a point on the line.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

The point-slope form of a line is y - y₁ = m(x -x₁), where m is the slope and x1 is a point on the line.

Hence, the statement is true.

Learn more on Point-slope form of a line here: brainly.com/question/11624671

#SPJ2

Answer:It should be 16.5 or 16 1/2.

Step-by-step explanation:

22•3/4

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

Here [tex]S_{8}[/tex] = 1530 and r = 2, thus

[tex]\frac{a_{1}(2^{8}-1) }{2-1}[/tex] = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

Answer:

The slope is -3/1.

Step-by-step explanation:

Answer:

(6, -5)  (Answer C)

Step-by-step explanation:

Multiply the first equation by 2.  We get the following equivalent system:

4x + 2y = 14

 x - 2y  = 16

------------------

  5x = 30, or x = 6.

Substituting 6 for x in the second equation, we get

6 - 2y = 16, or

  -  2y = 10, so that y = -5

and the solution is (6, -5)  (Answer C)

Answer:

C. 20

Step-by-step explanation:

105 + 9.5x = 14.75x

105 = 5.25x

20 = x

Answer:

Yes

Step-by-step explanation:

1/3 = 3 in 1

3(1) = 3

3 x 12 = 36

So 36 is correct

Answer:

I’m pretty sure you are correct.

Answer:

The odd that B draws an ace is 3/51 or 1/17

No, it is independent because they don't know if the card they draws is an ace or not. Because if B take the card first also it would be ace so it isn't dependent i think