a chair lift on the ski slope travels a total distance of 4640 ft to the top of a 2178 foot mountain find the angke of ski slope
Answers
Let x = the angle of the ski slope.
By definition,
sin x = 2178/4640 = 0.4694
x = sin⁻¹ 0.4694 = 28°
Answer: 28°
Related Questions
A rectangular park, with dimensions of 1500ft x 2000ft has a diagonal walking path that goes from corner to corner. How long is the walking path?
250 ft
2500 ft
3500 ft
5000 ft
Answers
Two fifths of the fish in Gary's fish tank are guppies onefourth of the guppies is red what fraction of the fish in Gary's tank are red guppies what fraction of the fish in Gary's tank are not red guppies show your work
Answers
Write 24.357 in the Expanded form using fractions
Answers
I need an answer what is 1.03 ÷ (-10.3)=?
Answers
To figure this out, convert both numbers to fractions. 1.03 = 1[tex]\frac{3}{100} [/tex] and (-10.3) = -10[tex] \frac{3}{10} [/tex]. Now, convert to improper fractions.
1[tex] \frac{3}{100} = [tex] \frac{103}{100} [/tex]
-10[tex] \frac{3}{10} [/tex] = [tex]- \frac{103}{10} [/tex]
Now, divide. Dividing fractions is the same as multiplying by the reciporical. So:
[tex] -\frac{103}{10} \ becomes\ \frac{10}{103} [/tex]
[tex] \frac{103}{100} *- \frac{10}{103} = -\frac{1030}{10300} = - \frac{1}{10} [/tex]
The answer to 1.03 ÷ (-10.3) is -0.1.
Explanation:To divide 1.03 by -10.3, you can use the division algorithm. Divide the absolute values of the two numbers and obtain the quotient. Since the signs of the two numbers are different, the quotient will be negative. Therefore, 1.03 ÷ -10.3 = -0.1.
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given h(x) = -x + 1, find h(0)
Answers
h(x) = -x + 1
h(0) = -(0) + 1 = 1
So, h(0) in this case would be 1.
answer is 1
Nicole has $9 to spend on cards.She finds friends with the same amount of money to split the cost of a set. One set cost $27. Each friend gets the same number of cards. How many cards does each friend get?
Answers
Answer: Number of cards each friend gets is given by
[tex]\frac{x}{3}[/tex]
Step-by-step explanation:
Let the number of cards be x.
Since we have given that
Amount Nicole used to spend on cards = $9
Total cost of one set =$27
Since she finds friends with the same amount of money to split the cost of a set.
So, Number of friends she finds is given by
[tex]\frac{27}{9}=3\\\\\text{ Nicole finds 2 friends who has same amount to split the cost}[/tex]
Now, Number of cards each friend gets is given by
[tex]\frac{x}{3}[/tex]
I am multiple of 70. I am between 300 and 500. I am 20 more than a multiple of 100. who am i?
Answers
This is because 70x4=420. It's within 300 and 500, and its 20 greater than 400 a multiple of 100.
Lucie drank 3/4 of a pint of bottled water. One serving of the water is 7/8 of a pint. How much of a serving did she drink.
Answers
3/4
I'm order for them to have the same denominator you need to multiply so:
¾×2=6/8
So she drank 6/8 pints of water
3/4 x 2/2 = 6/8
So Lucie drank 6/8 of a pint, or 75% of it. 7/8 - 6/8 = 1/8. So there is 1/8 of water left, or 12.5%.
Which statement is true about the result of a rigid transformation? (4 points)
The image will be larger than the pre-image.
The pre-image will be larger than the image.
Each one is unique; no general statement can be made about size.
The pre-image will be congruent to the image
Answers
Answer:
The pre-image will be congruent to the image : True
Step-by-step explanation:
The transformation falls broadly into two types.
Rigid Transformation and Non Rigid Transformation .
Rigid Transformation: The new image has the same size and the shape as that of pre image. Thus both the images are congruent to each other.
Non Rigid Transformation : The new image is has the same shape. however the size of the new image changes. hence they are similar to each other but not congruent.
Hence our third option is correct.
The perimeter of a rectangle is 524cm. The length is is 42cm more than the width. What is the length of the rectangle?
Answers
Width= 215cm
Length= 173cm
Then P = 2W + 2L
Here, P = 524 cm = 2W + 2(W+42) = 2W + 2W + 84 = 4W + 84
Solving 524 = 4w + 84, 4W = 524-84 = 440.
Dividing both sides by 4: W = 110 cm. Then L = 110+42 = 152.
Check: Does 2(110) + 2(152) = 524? YES
W = 110 cm and L = 152 cm
Help me I don’t get this problem...
Answers
A = 3
B = 8
C = 2
D = 5
So, plug in the values.
[tex]a ^{2} + 3b [/tex]÷[tex]C - 2d[/tex]
3^2 = 9
3*8 = 24
2 * 5 = 10
24/2 = 12
9 + 12 - 10 = 21 - 10 = 11.
So, the value of the expression is 11.
A box of 8 snack bars costs $24.72. A single snack bar costs $3.47. What is the savings on each snack bar if you buy a box of 8 snack bar?
Answers
3.47 x 8 = 27.76
27.76 - 24.72 = 3.04
answer= 3.04
have a GREAT day! good luck with school!
factor Completely 2x^2+11x-63
Answers
Answer:
(x + 9) × (2x - 7)
Step-by-step explanation:
You need to write the equation as a difference
2x^2 + 18x - 7x - 63
Then factor the expressions
2x(x + 9) - 7(x + 9)
Factor again
Which expressions are perfect square trinomials? Check all that apply.
x2 + 16x + 8
x2 + 14x + 49
x2 – 5x + 25
x2 – 24x + 144
x2 + 9x – 81
Answers
Good Luck! ;D
The expressions that give perfect square trinomials are:
[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]
A quadratic trinomial of the form [tex]ax^2+bx+c[/tex] is a perfect trinomial if it can be expressed as [tex](mx + n)^2[/tex]
Let us consider [tex]x^2+14x + 49[/tex]
[tex]x^2+14x+49\\x^2+7x+7x+49\\x(x+7)+7(x+7)\\(x+7)(x+7)\\(x+7)^2[/tex]
Let us consider:
[tex]x^2-24x+144\\x^2-12x-12x+144\\x(x-12)-12(x-12)\\(x-12)(x-12)\\(x-12)^2[/tex]
All other options do not give a perfect square when tested
Therefore, the expressions that give perfect square trinomials are:
[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]
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choose the graph below that correctly represents the equation 2x + 4y = 24.
A.
B.
C.
D.
Answers
1. 2x = 24 - 4y (Move the variable to the right side and change the sign)
2. X = 12 - 2y (Divide both sides of the equation by 2)
3. Y = 6 and X = 12 (I used my graphing calculator and A is what I got)
Hope this helps, if not, then I apologize! :)
Answer:
A Boiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
when rounded to the nearest hundred which of the following would round of to 4,600
Answers
The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet. When the water was 4 feet from the end of the hose, what was its height above the ground?
Answers
Answer:
its a and c
Step-by-step explanation:
What is 75 1/2 Times 100 3/4
Answers
Hope it helped!
Most cars get their best gas mileage when traveling at a relatively slow speed. The gas mileage M for a certain new car is modeled by the function
M(s)= -1/28s^2+3s-31
where s is the speed in mi/h and M is measured in mi/gal.
Answers
M(s) = -1/28s² + 3s - 31
Deriving,
dM(s) = (-1/28)(2s) + 3 = 0
s = 42
Hence, the speed at which the best mileage is achieved is mi/h.
Final answer:
The quadratic function represents the gas mileage of a car in relation to its speed. By calculating the vertex of the parabola, it is determined that the best gas mileage for the given new car model occurs at a speed of 42 mi/h, which can lead to more efficient driving.
Explanation:
Understanding Gas Mileage and Speed
The question revolves around the mathematics found in the relation between speed and gas mileage for cars. Specifically, a quadratic function M(s) = -1/28s²+3s-31 represents the gas mileage M, in miles per gallon (mi/gal), at a given speed s in miles per hour (mi/h) for a new car model. To analyze this model, one may want to find the speed that provides the best gas mileage, which typically requires finding the vertex of the parabolic graph that this equation represents.
To find the speed that gives the maximum gas mileage, we would complete the square or use the vertex formula for a parabola given by s = -b/(2a), where a and b are the coefficients of the quadratic term and the linear term, respectively. For our function, a = -1/28 and b = 3. Plugging these into our formula gives a speed of s = -3 / (2 * -1/28) = 42 mi/h. This suggests that the best gas mileage for this car model occurs at a speed of 42 miles per hour.
It is essential to understand the relationship between speed and gas efficiency because it can help reduce fuel consumption and costs, as well as lessen environmental impact. By finding the optimal speed for gas mileage, drivers can make informed decisions about their driving habits for financial and ecological benefits.
10d+10=5d+45 plz help
Answers
10d + 10 (-5d) = 5d (-5d) + 45
5d + 10 (-10) = 45 (-10)
5d = 35
5d/5 = 35/5
d = 7
hope this helps
*subtract 5d from both sides
5d +10=45
*subtract 10 from both sides
5d=35
*divide by 5
d= 7
(:
On the field trip, Toni collected 4 times as many bugs as Kaylie. Kaylie collected 14 bugs. How many bugs did Toni collect? Draw a bar diagram. Write and solve an equation to represent the problem
Answers
If Toni collected 4 TIMES as many as Kaylie and Kaylie collected 14 bugs, you MULTIPLY. A bar diagram goes horizontally across your diagram. So Draw a bar diagram. If you don't know what a bar diagram is, Google it! That's all I can help ya with.
PLEASE HURRY
Which set of angles can form a triangle?
A. 1 acute and 2 right
B. 2 acute and 1 right
C. 1 acute and 2 obtuse
D. 1 acute, 1 right, and 1 obtuse
Answers
Line R T and line S U slightly inclined with horizontal intersects at V. The upward and downward angles of the intersecting lines are obtuse. The left and right angles of the intersecting lines are acute. The measure of angle R V U is labeled as left parenthesis 8 y minus 33 right parenthesis degrees. The measure of angle S V T is labeled as left parenthesis 5 y plus 9 right parenthesis degrees.
Answers
5y+9=8y-33 vertical angles are congruent
-5y -5y
9 = 3y -33 Use inverse operations to move all variables to one side of the equation
+33 +33 Add 33 to both sides of the equation to isolate the variable
42=3y
/3 /3 Divide both sides by 3 in order to isolate the variable
14 = y Once simplified, the variable y is equal to 14
In order to find the measure of the angle, the value of the variable needs to be substituted back into one of the equations.
5y+9
5(14) +9
70 + 9
79
The measure of angle RVU and angle SVT is 79 degrees
Answer:
14=y
or y=14
Step-by-step explanation:
A box of nutmeg weighs 99.66 grams. If there are 22 teaspoons of nutmeg in the box, how much does one teaspoon of nutmeg weigh? (Round your answer to the nearest thousandth.)
Answers
At the gas station each liter of gas costs $3 but there is a promotion that for every beverage you purchase you save 0.20 cents on gas. Is your total savings on gas proportional to the number of beverages you purchase?
Answers
You save $0.20 on gas for every beverage you buy.
Let s=dollars saved on gas, and b=# of beverages purchased
s=.2b
or
s=b/5
Answer:
Yes
Step-by-step explanation:
The answer is yes it is proportional
a contractor purchases motors listed at $6800 and receives successive discounts of 20% and 10%. what is the net cost
Answers
Write a word phrase to represent the numerical expression 5+(17-8)
Answers
Distribute Property
A hiker leaves camp and hikes 9 miles north and than hikes 7 miles east. What is the resulting displacement of the hiker?
Answers
Which shows three equivalent rational numbers?
A. 13/-14= -13/14=-13/14
B. -3/5 = 3/5=-3/5
C. -1/17=1/-17=1/17
D. -5/37 = 5/37=-5/37
Don’t answer if you aren’t sure.
Answers
When any part of the fraction is negative, the whole thing is negative.
This is because a positive divided by a negative is a negative and vise versa.
i hope this helps and have a wonderful day!!
There was 2/3 of a pizza for 6 friends to share equally. What fraction of the pizza did each person get
Answers
However, if you can't do that (maybe all your phones have been abducted by aliens), then use easy division of fractions to solve.
2/3 divided by 6 is equal to 2/3 times 1/6.
When you divide a fraction, you have to flip the thing your dividing by and multiply it to the original number. I know, confusing stuff, right?
2/3*1/6
=2/18
=1/9
Each person gets 1/9 of the pizza.
Hope this helps (and that the aliens give you your phones back)!
Each person get 1/9 of a pizza.
What is Fraction?
A fraction is defined as a part of a whole.
Given that;
There was 2/3 of a pizza for 6 friends to share equally.
Now,
Total amount of pizza = 2/3
Number of friends = 6
So, For finding the amount of pizza get by each person we formulate.
= 2/3 × 1/6
= 2/18
= 1/9
Thus, Each person get 1/9 of a pizza.
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