A ski lift begins at ground level 0.75 miles from the base of a mountain whose face a 50° angle of elevation. The ski lift ascends in a straight line at an angle of 20°. Draw a diagram to illustrate this situation and find the length of the ski lift from the beginning of the ski lift to the top of the mountain, to the nearest hundreth
Answers
The length of the ski lift is approximately 1.15 miles.
We can use the formula of sum of all angle of triangles which is equal to 180°.
∠C = 180 - 50
= 130
By using law of sines
[tex]\frac{a}{sin A} = \frac{c}{sin C} \\\frac{0.75}{sin 30} = \frac{c}{sin 130} \\\\\\\frac{0.75 \times 0.766}{0.5}[/tex]
c= 1.149 mile
c = 1.15 mile (nearest hundred)
for such more question on length
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Related Questions
What is the median of 75, 63, 89, 91
Answers
Is -9 greater than 8
Answers
1. -9 + 9 = 0.
2. 0 + 8 = 8
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule represents the translation? After the translation, what are the coordinates of vertex C?
Answers
Answer: Correct answer is (x, y) → ( x − 3, y − 4); (5, −1)
Step-by-step explanation: Starting from point 8,3 we go down 4 on the y-axis (y-4)and stopping at -1 then we go left on the x-axis (x-3) stopping at 5.
So the new coordinate for the vertex C should read 5,-1.
After the translation , the coordinates of vertex C are ( 5 , -1 )
Further explanationThere are several types of transformations:
TranslationReflectionRotationDilationLet us now tackle the problem!
This problem is about Translation.
The triangle is translated 4 units down and 3 units left.
The rule that represents the translation will be [tex]\left[\begin{array}{ccc}-3\\-4\end{array}\right][/tex]
Let's find the translation for every vertice of Triangle ABC:
A(-3 , 4) → A'(-3 + (-3) , 4 + (-4)) = A'(-6 , 0)
B(4 , -2) → B'(4 + (-3) , -2 + (-4)) = B'(1 , -6)
C(8 , 3) → C'(8 + (-3) , 3 + (-4)) = C'(5 , -1)
From the results above, we can illustrate the translation process as shown in the attached picture
Conclusion:After the translation , the coordinates of vertex C are ( 5 , -1 )
Learn moreInverse of Function : https://brainly.com/question/9289171Rate of Change : https://brainly.com/question/11919986Graph of Function : https://brainly.com/question/7829758Translation : https://brainly.com/question/10929552Translation of Graph : https://brainly.com/question/12091943Transformation Of 2 Functions : https://brainly.com/question/2415963Answer detailsGrade: High School
Subject: Mathematics
Chapter: Function
Keywords: Function , Trigonometric , Linear , Quadratic , Translation , Reflection , Rotation , Dilation , Graph , Vertex , Vertices , Triangle
18+6(9k-13) Can someone please help me on this problem, you have to simplify to get the answer.
Answers
18+54k-78
54k-60
What is the first step you will use to solve this equation:
4x +2 = 7x - 13
Add 7x to both sides
Add 13 to both sides
Subtract 4x from both sides
Subtract 2 from both sides
Answers
4x +2 = 7x - 13 would then simplify to
3x - 13 = 2 ( you can switch the problem around as long as you dont switch the variables around )
then you have to + 13 which simplifies to
3x = 15
then you divide by 3 which equals
x=5
combining like terms
simplify the expression
-r - 10r
Answers
-r-10r
-r is = to -1r
so you have -1r - 10r
which simplifies to -11r
The original price of a watch was $550. During a mid year sale, the selling price was $440. Find the percent discount
Answers
$550 - $440 = $110
Next, you would need to create an equation for this problem. Let x represent the unknown percent discount.
[tex] \frac{110}{550} [/tex] = [tex] \frac{x}{100} [/tex]
Cross multiply.
550x = 11,000
Now, all you would need to do is isolate the x. To do this, you would divide both sides of the equal sign by 550.
x = 20
x = 20%
The percent discount was 20%.
I hope this helps!
Final answer:
The percent discount for the watch is 20%.
Explanation:
To find the percent discount on the watch, we first calculate the difference in price between the original price and the sale price.
Subtract the sale price ($440) from the original price ($550) to get the discount amount: $550 - $440 = $110. Next, to calculate the percent discount, we divide the discount amount by the original price and then multiply the result by 100 to convert it to a percentage.
Percent Discount = ($110 / $550) × 100 = 20%
Therefore, the watch was sold at a 20% discount during the mid year sale.
The twenty-six coins are all dollars and quarters, and they add up to seventeen dollars in value. How many dollars and how many quarters are there?
Answers
Answer:
Step-by-step explanation:
12 dollars
and 14 dollar coins
Answer: 12 quarters and 14 dollars
Step-by-step explanation:
What is the answer to
5y + 4 = 3y + 6
Answers
Which of the following values for x and y make the equation 4x + 2y + 3 = 19 true?
A. x = 5, y = 3
B. x = 4, y = 5
C. x = 3, y = 2
D. x = 2, y = 5
Answers
Just substitute X and Y into the question.
4x+2x+3=54
what is the value of x
Answers
6x + 3 = 54
6x = 54 - 3
6x = 51
x = 51/6
x = 17/2 or 8.5
hope this helps, God bless!
A photograph is reduced to 75% of its original size The photo was originally 12 inches by 16 into what are the new dimensions after it has been reduced to 75%?
Answers
12 inches by 16 inches
the new dimensions would be :
0.75 * 12 = 9 inches
0.75 * 16 = 12 inches
9 inches by 12 inches <==
I need the answer and work
Answers
Plug in the x
2(4.1) + 3
8.2+ 3= 11.2
A is 11.2
B) 16-5y
Plug in the y
16 - 5(2.3)
16- 11.5= 4.5
B is 4.5
C) x+y
Plug in x and y
4.1 + 2.3= 6.4
C is 6.4
N x 6/9 = 3/12
what is N?
Answers
Simplify n\times \frac{6}{9}n×96 to \frac{2n}{3}32n
\frac{2n}{3}=\frac{3}{12}32n=123
2
Simplify \frac{3}{12}123 to \frac{1}{4}41
\frac{2n}{3}=\frac{1}{4}32n=41
3
Multiply both sides by 33
2n=\frac{1}{4}\times 32n=41×3
4
Simplify \frac{1}{4}\times 341×3 to \frac{3}{4}43
2n=\frac{3}{4}2n=43
5
Divide both sides by 22
n=\frac{\frac{3}{4}}{2}n=243
6
Simplify \frac{\frac{3}{4}}{2}243 to \frac{3}{4\times 2}4×23
n=\frac{3}{4\times 2}n=4×23
7
Simplify 4\times 24×2 to 88
n=\frac{3}{8}n=83
What is the answer to this problem?
Answers
0.9 is 10 times as much as 0.09 and 1/10 of 9
(10 points! Woah!)
Cindy joined a music club.
~During the first year she paid a $25 membership fee and got CDs for $5 each.
~During the second year the membership fee increased to $35, but the price of individual CDs
remained the same.
Cindy graphed two functions, showing the total cost of buying x, CDs in each of the two years.
Which statement is true of the graphs for year 1 and year 2?
Question 4 options:
The graphs for year 1 and year 2 have opposite slopes.
The graphs for year 1 and year 2 have the same slope.
The graph for year 1 is steeper than the graph for year 2.
The graph for year 2 is steeper than the graph for year 1.
Save
Answers
Answer:
The graphs for year 1 and year 2 have the same slope.
Step-by-step explanation:
how can you tell that a line segment connecting two points is vertical without graphing the points
Answers
A line segment connecting two points is vertical without graphing the points are intersecting lines if they are not parallel.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
For the Parallel lines, it must have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 5x + 2, thus its slope is 5 and thus, the slope of the needed line is 2 too.
They are intersecting lines if they are not parallel. therefore, the other option is that they are intersecting.
Learn more about parallel lines here:
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Describe the different types of results that will occur when preforming transformation on equations that have one solution, no solutions or infinitely many solutions.
Answers
Just to let you know i did not write this someone else on brainly did
if the variables cancel out leaving u with an untrue statement, like 0 = 4 or 2 = 6, then u will have no solutions
if the variables cancel out leaving u with a true statement, like 2 = 2 or 4 = 4, then u will have infinite solutions
if u end up with a variable equaling a number, then u have 1 solution
Read more on Brainly.com - https://brainly.com/question/6423912#readmore
Why do u think rates are usually written as unit rates
Answers
The rate usually written for the amount of things is changing in one unit.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio indicates the rate of change in the other (dependent) factor if the base of the ratio is written as a cohesive block of one of these variables, and if it is assumed that this quantity may be modified systematically (i.e., is an independent variable).
The rate usually written for the amount of units anything in one unit of something.
More about the rate link is given below.
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Use substitution to solve the linear system of equations.
y=x-2
2x+4=y
(-6,8)
(6,8)
(-6,-8)
(6,-8)
Answers
Answer:
(-6,-8)
Step-by-step explanation:
2x+4=x-2
2x-x=-2+-4
x=-6
y=-6-2
y=-8
Enter the solution to the inequality in the box.
−9x−6≥−3(x−4)
Answers
-9x - 6 ≥ -3x + 12
-9x + 3x ≥ 12 + 6
-6x ≥ 18
-x ≥ 3
x ≤-3
x + 3 ≤ 0
Range - ( -∞, 3]
Hope This Helps You!
For those of you who are confused like I was, the answer is x ≤ -3
Defined by two lines or rays diverging from a common point.
A) arc
B) angle
C) parallel lines
D) perpendicular lines
Defined as bounded by two distinct end points that contain every point on the line between its end points.
A) circle
B) line segment
C) parallel lines
D) perpendicular lines
Answers
1. B angle
2. B line segment
Further explanationLet see the answer choices :
1 .
A) arcis part of the circumference of a circle
B) angleAngles can be formed from two ray lines that have the same starting point
Commonly used terms include foot angle, corner point, and angle size
The magnitude of the angle is usually expressed in degrees
Naming angles can be with one letter according to the vertex or with three letters with the vertex placed between two other letters
C) parallel linestwo lines that don't intersect each other at any point
D) perpendicular linesthe two lines intersect at a right angle.
So two lines or rays are diverged from a common point: angle
2 .
A) circleCircles are two-dimensional builds which are sets of equidistant points at a point called the center point
The distance of these points to the center is called the radius of the circle
B) line segmentThe line connecting two points and these two points is end points
C) parallel linestwo lines that don't intersect each other at any point
D) perpendicular linesthe two lines intersect at a right angle.
so bounded by two distinct end points that contain every point on the line between its end points: line segment
Learn more
circumference of the circle
https://brainly.com/question/8929610
chord, diameter
https://brainly.com/question/9969022
the steps for constructing a copy of an angle
https://brainly.com/question/4292471
Keywords: circle, arc , angle , parallel lines , perpendicular lines, line segment, end points, common point
Add 1 1/3+(−5/6) using the number line.
Answers
Which fraction is equivalent to 1/2?
2/3
2/4
3/5
4/7
Answers
Julia has been saving money for a new Tv. The Tv normally costs $340 but is on sale for 30% off. How much money does Julia need to buy the tv?
Answers
You could find 30% of the original value and subtract that from the original value:
340*0.3=102
340-102=238
OR
You can multiply the original cost by 70% (100%-30%)
340*0.7=238
But either way the amount Julia will need to pay is $238
The ratio of pens to pencils in Mrs. Bosworth's desk is 4:1. What does this mean?
Answers
If the ratio is factored to a number, let's say 3, then there will be 12 pens for every 3 pencils
Which of the following equations does not represent a proportional realtionship
Answers
A computer sells for $430 which is 75% reduction of the original price. What is the original price of the computer?
Answers
430 / 75 = 5.733333...
Multiply that answer by 100 to get the original price.
5.73333... x 100 = 573.3333...
That will be your answer.
To double check your work, you can multiply 573.333... by 75 to see if the number in the problem (which was 75% of the original price) matches.
573.3333... x 75 = 430.
Hope that helped! :)
A living room wall is 11 feet long. How far from the corner would you have to the edge of 2ft 6in for shelf for it to be centered on the wall
Answers
11 foot wall,
the center of the wall would be 5 1/2 feet which is 5 feet 6 inches
the shelf is 2 feet 6 inches, so the center of that would be 1 foot 3 inches
5 ft 6 in - 1 ft 3 in = 4 ft 3 inches from corner
The Scale on a map is 1 inch equals 5 feet what is the distance between two points on the map that are 8 1/2 inches apart on the map?