The hiking path to the top of a mountain makes, at the steepest place, an angle of 20° with the
horizontal, and it maintains this constant slope for 500 meters, as illustrated below. Which of the
following is the closest approximation to the change in elevation, in meters, over this 500-meter
section?
500 meters
20
A 20
B) 170
180
D 250
Answers
We are given:
a right angled triangle with the angle of elevation = 20 degrees
Hypotenuse of the Triangle = 500 m
Finding the change in Elevation:
We will use trigonometry in the given triangle to find the length of the perpendicular of the triangle
Using trigonometry, we found that the perpendicular = 500 * Sin 20 degrees
Perpendicular = 500 * 0.342 [sin(20 degrees) = 0.342]
Perpendicular = 171 m
The closest value to 171m in the given options is 170m
Therefore, 170m (option B) is correct
Related Questions
Francesca obtains a loan of $18.965.00. The loan has a simple interest rate of 3%. How much interest will Francesca owe at the end of the first year?
Answers
Answer:
$568.95
Step-by-step explanation:
Given parameters:
Value of loan = $18965
Interest rate = 3%
Time = 1year
Unknown:
Interest = ?
Solution:
The interest on a particular amount is given as:
I = [tex]\frac{PRT}{100}[/tex]
I is the interest
P is the principal
R is the rate
T is the time
I = [tex]\frac{18965 x 3 x 1}{100}[/tex] = $568.95
5. €1575 was shared among three people in the ratio 1:2:1/2
Calculate the smallest share.
Answers
Answer:
€225
Step-by-step explanation:
Given that:
1575 shared in the ratio 1 : 2 : 1/2
Total sum of ratio = (1 + 2 + 1/2) = 3 1/2
Ratio 1 amount :
(1 / 3.5) * 1575 = 450
Ratio 2 amount :
(2 / 3.5) * 1575 = 900
Ratio 1/2 amount :
(1/2 ÷ 3.5) * 1575 = 225
Smallest share = $225
Write the improper fraction 62/9 as a mixed number.
Answers
Answer:
62/9
Step-by-step explanation:
Estimate 9146 x 174 by first rounding each number so that it has only 1 nonzero digit.
Answers
Answer:
1,800,000
Step-by-step explanation:
9146 * 174
Estimate: 9000 * 200 = 1,800,000
Answer this please thanks
Answers
Answer:
No.
Step-by-step explanation:
Because the line doesn't pass through the origin (0,0).
The area of the rectangle flower bed shown is
20.4 square meters. How many meters of edging are needed to go around the flower bed?
Answers
Answer:
I think 5.4
Step-by-step explanation:
Take it and divide by the number of sides
The Perimeter of rectangle is 27.4 m
What is Area of rectangle?The area of rectangle is product of its length to tis width.
So, Area of rectangle = length x width
Given:
Area of the flower bed = 20.4 square meters.
length = 12 m
As a rectangle, its area be
A = l x w
20.4 = 12 w
w= 20.4/ 12
w= 1.7
Now, Perimeter of rectangle
= 2( l + w)
= 2( 12+ 1.7)
= 27.4 m
Hence, the Perimeter of rectangle is 27.4 m
Learn more about area of rectangle here:
https://brainly.com/question/13021557
#SPJ2
Describe your understanding of finding percents of a whole.
Answers
Step-by-step explanation: Write down the whole number amount, for example: 500. Calculate the equation. The result is the decimal equivalent of the percentage. Multiply the decimal equivalent of the percentage by 100; or move the number's decimal point over two places to the right.
y Andrew is solving the problem
30 , 6. He reasons that, because 6 is
twice as big as 3, then 30 , 6 must be
twice as big as 30 , 3. What mistake is
Andrew making?
Answers
An airplane flies at an elevation of 500 feet above sea level. A whale swims the same distance below sea level, what number represents the elevation of a whale?
Answers
Answer:
500 below because you just do the opposite
Fill in the table using this function rule.
y=-3x + 5
Answers
Answer:
y=-3(-4)+5,,,, you get y=12+5 y=17
y=-3(-2)+5,,,, you get y=6+5 y=11
y=-3(0)+5,,,, you get y=0+5 y=5
y=-3(2)+5,,,, you get y=-6+5 y=-1
Step-by-step explanation:
hope it helps:)Biologists tagged 134 fish in a lake on January 1. On February 1, they returned and collected a random sample of 56 fish, 14 of
which had been previously tagged. On the basis of this experiment, approximately how many fish does the lake have?
Answers
Answer:
There should be 120 fishes approximately in the lake
Which of these numbers is greater than 2.25 but less than 1? Is it 1 or 1.5 or 0 or 2.5
Answers
Answer:
the answer is 1.5 because converting them into their fractional form indeed informs u that 1.5 is thus greater than 2.25 BT lesser than 1
In the Bayes'rule from our textbook, which of the following are conditional probabilities on previously-obtained information A Prior probabilities B. Marginal probabilities C. Objective probabilities D. Posterior probabilities
Answers
Answer:
A
Step-by-step explanation:
Three friends go grocery shopping together, and each buys the same kind of
oranges. LaMar buys 2 pounds (lb) and pays $1.00. Enrico buys 4 pounds and
pays $2.00. Anna buys 3 pounds and pays $1.50.
Identify the aranh and unit price that represent the orange costs.
Answers
Answer: C In my case
Step-by-step explanation:
Well you wanna choose the one with 1,2,3,4 as its pounds and that should be correct with the 50 cents in dollars.
Help anyone 5th grade math
Answers
Answer:
Equal???
Step-by-step explanation:
A chess game comes with two kings, two queens, four rooks, four Bishops, four knights, and sixteen pawns (a total of 32 pieces). A game piece is randomly selected, replaced, then another is chosen. Find the probability of selecting a king or queen, then a pawn.
Answers
Answer:
3/32
Step-by-step explanation:
Plz mark as brainliest!!!
In the figure above, how would you set up your equation?
Answers
Step-by-step explanation:
2×+6 + 5 = X+10
2x -x =10 -11
x= - I
BC = 2(-1) + 6=4
AC = -1+10 = 9
helppppp please I will give brainliest
Answers
The B is 2. B is the Y Intercept.
Please help, this chapter was on derivatives...
Answers
(3) Differentiating both sides of
[tex]2x^{3/2} + y^{3/2} = 29[/tex]
with respect to x gives
[tex]3x^{1/2} + \dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for dy/dx :
[tex]\dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = -3x^{1/2} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{-3x^{1/2}}{\frac32y^{1/2}} = \dfrac{-2x^{1/2}}{y^{1/2}} = -2\sqrt{\dfrac xy}[/tex]
Then the slope of the tangent line to the curve at (1, 9) is
[tex]\dfrac{\mathrm dy}{\mathrm dx} = -2\sqrt{\dfrac19} = -\dfrac23[/tex]
The equation of the tangent line would then be
y - 9 = -2/3 (x - 1) ==> y = -2/3 x + 29/3
(4) The slope of the tangent line to
[tex]y=\dfrac{ax+1}{x-2}[/tex]
at a point (x, y) on the curve is
[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{a(x-2)-(ax+1)}{(x-2)^2} = -\dfrac{2a+1}{(x-2)^2}[/tex]
When x = -1, we have a slope of 2/3, so
-(2a + 1)/(-1 - 2)² = 2/3
Solve for a :
-(2a + 1)/9 = 2/3
2a + 1 = -18/3 = -6
2a = -7
a = -7/2
Choose True or False for each statement.
Column A
1.
If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.:
If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.
2.
If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.:
If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.
3.
If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.:
If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.
4.
If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.:
If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.
Answers
hey guys what is this type of equation/ question called 1 < x < 30
Answers
Answer:
2,3,4,5,6,7,8,9,10,...29
Step-by-step explanation:
Consider the following equations: y = x minus 2. y = 2 x minus 2. y = negative x minus 2. y = negative 2. Discuss the similarities and difference in the graphs of these equations. (Use a graphing calculator if needed.) a. Same slopes; different y-intercepts b. Same slopes; same y-intercepts c. Different slopes; same y-intercepts d. Different slopes; different y-intercepts
Answers
the answer would be C.
Explanation:I got it correct
Answer: c Different slopes; different y-intercepts
Step-by-step explanation:
Maria needs to be at the airport terminal at 15:20. It will take 2 hours to
drive to the airport from her home, and a further 30 minutes to park and get
to the terminal.
What is the latest time she should leave home?
Give
your answer as a time in the 24-hour clock.
Answers
Answer:
12:50
Step-by-step explanation:
15:20 - 2h= 13:20
13:20-30 min= 12:50
Answer:
12:50
Step-by-step explanation:
If it takes 2 hours to get there, you subtract 2 hours from 15:20 which gives you 13:20. It also says that she needs 30 minutes to park so you subtract that from 13:20 giving you 12:50
Isidro wants to purchase a used scooter that costs $89.75. The sales tax is found by multiplying the price of the scooter by 0.08. Find the total amount of money Isidro will pay. Round to the nearest cent.
Answers
Answer:
96.93
Step-by-step explanation:
89,75+
Gina bought 4 bags of grapes that weighed 2.29 pounds each. The grapes were priced at $2.50 per pound. The expression below represents the total cost of the bags of grapes Gina bought, in dollars.
(2.29×2.50)×4
Which expression below is also equivalent to the total cost of the grapes?
( 2.29 + 4 ) × 2.50
4 × ( 2.50 + 2.29 )
( 2.29 × 4 ) + 2.50
2.29×(2.50×4)
Answers
Answer:
2.29 × (2.50 × 4) is equivalent.
Step-by-step explanation:
It doesn't matter what order multiplication happens in, it will result in the same answer!
15% of 24% of $3500 is $___?
Answers
Answer:
126
Step-by-step explanation:
Answer:
126
Step-by-step explanation:
24% of 3500=840
15% of 840=126
Determine the y-intercept for 3x+2y=14
Answers
Answer:
Using the slope-intercept form, the y-intercept is 7
Step-by-step explanation:
Answer: y=7-3x/2 3x/2 is seen as a fraction
Step-by-step explanation:
Move all the terms that don’t contain y to the right and then solve
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
113
Step-by-step explanation:
Answer:
diameter =6 cm
radius =3cm
shaded area =area of square- area of circle
= a^2 - πr^2
=(6)^2-3.142(3)^2
=36-3.142×9
=36-28.278
=7.622
Suppose that 2 were subtracted from each of the values in a data set that
originally had a standard deviation of 7.5. What would be the standard
deviation of the resulting data?
A. 2
B. 7.5
C. 9.5
O D. 5.5
Answers
Answer:
Option B. 7.5 is the correct answer
Step-by-step explanation:
Let us define standard deviation first.
Standard deviation is the square root of variance. Standard Deviation tells us that how far are the values in a data set from the mean.
Now, if a constant is subtracted from all values of a dataset, the standard deviation remains the same. Only the origin or mean of the data changes by subtracting a constant from whole data set.
Given that the standard deviation of dataset is 7.5
Subtracting 2 from each value of dataset will not change the standard deviation as 2 is a constant.
Hence,
Option B. 7.5 is the correct answer
Answer:
7.5 it stays the same
Step-by-step explanation:
Please help me thank you.
Answers
Answer:
-4+2
Step-by-step explanation: