A road is inclined at an angle of 6°. After driving 5,440 feet
along this road, find the driver's increase in altitude. Round to
the nearest foot.
The driver's increase in
altitude is ____ ft.
A. 5,410
B. 569
C. 52,043
D. 572
Answers
========================================================
Work Shown:
sin(angle) = opposite/hypotenuse
sin(6) = a/5440
5440*sin(6) = a
a = 5440*sin(6)
a = 568.634840176034
a = 569 feet, which shows why choice B is the answer.
This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5
side note: 569 feet is roughly equal to 0.1078 miles.
The driver's increase in altitude is 569 feet.
Given that,
A road is inclined at an angle of 6°.
After driving 5,440 feet along this road,
We have to determine,
The driver's increase in altitude?
According to the question,
A road is inclined at an angle of 6°.
After driving 5,440 feet along this road,
The inclination is determined by using the sin angle.
Therefore,
The driver's increase in altitude is,
[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]
Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.
Substitute all the values in the formula,
[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]
Hence, The driver's increase in altitude is 569 feet.
For more details refer to the link given below.
https://brainly.com/question/11280532
Related Questions
Can someone help and give me a step by step explanation please?!
Answers
9514 1404 393
Answer:
∠QSR = 78°∠SQR = 51°Step-by-step explanation:
The measure of an inscribed angle (QTR) is half the measure of the arc it intercepts. The measure of an arc is the same as the measure of the central angle it intercepts. So, we have ...
∠QSR = 2×∠QTR
∠QSR = 2×39°
∠QSR = 78°
__
Sides SQ and SR are radii of circle S, so are the same length. That means triangle QRS is an isosceles triangle and the base angles SQR and SRQ are congruent. The sum of angles in a triangle is 180°, so we have ...
∠QSR + 2(∠SQR) = 180°
78° + 2(∠SQR) = 180° . . . . fill in the value we know
2(∠SQR) = 102° . . . . . . . . . subtract 78°
∠SQR = 51° . . . . . . . . . . . . .divide by 2
what is the missing value in the equivalent ratio 18:27= 16:__
answer choices:
a:24
b:25
c:26
Answers
hi everyone i got a 16/20 on a final what percent is that im jw
Answers
Answer:
80%
Step-by-step explanation:
Will Gove brainliest:)
Does this table represent a linear or nonlinear function? Explain.
Answers
Graph the equation y = -7/2x+2 on the coordinate plane.
Answers
Answer:
2y ( -5,2)
Step-by-step explanation:
you start at 2y and go down 7 times and move 2 times left
The answers are
A. 1/3 cm/s
B. 1/2 cm/s
C. 2/3 cm/s
D. 3/2 cm/s
Please help!!
Answers
Answer:C
Step-by-step explanation:
C. 2/3 cm/s
Find the mean, median, and mode(s) of the data. Round answers to the tenths place if necessary.
70, 100, 90, 85, 70, 95, 75
Mean =
Median =
Mode =
Answers
Answer:
Mean: 83.571428571429
Median: 85
Mode: 70
Step-by-step explanation:
The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.
The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers.
The mode is the number in a data set that occurs most frequently. Count how many times each number occurs in the data set. The mode is the number with the highest tally. It's ok if there is more than one mode. And if all numbers occur the same number of times there is no mode.
Answer:
Median 85
Mode 70
Mean 83.571 rounded = 83.6
plz help i really need it
n/5 - 3 = -6
A) -20
B) -2
C) 15
D) -15
Answers
Hope this helps :)
Answer:
D
Step-by-step explanation:
n/5 = -3
n = -3 x 5
n = -15
Complete the equation of the line through (2,-2) and (4,1).
Use exact numbers.
Y=
Answers
Answer:
y=(3/2)x-5
Step-by-step explanation:
1=4k+b, -2=2k+b
b=1-4k, b=-2-2k
1-4k=-2-2k
k=3/2
1=4k+b
1=4(3/2)+b
b=-5
y=(3/2)x-5
Brillianst!!!!!!!please!!!!!!!
Answer:
y=(3/2)x-5
Step-by-step explanation:
A transformation of AKLM results in AK'L'M'.
Which transformation maps the pre-image to the
image?
dilation
translation
reflection
rotation
Answers
Answer:
dilation
Step-by-step explanation:
took the test
What is the area of the right trapezoid?
A) 28 square inches
B) 35 square inches
C) 56 square inches
D) 70 square inches
Answers
Answer:
c
Step-by-step explanation:
because are of trapizium =( a+b/2) × h
"Expand the brackets and simplify" (please i need help asap)
Answers
ok, b)
you can times anything inside bracket by 8. so, 8r -40 + 12
You can simplify to 8r - 28.
d)
You can rearrange it to 6a + 12a -12/3 -15/3
= 18a - 27/3
Find KL. URGENT!!!!!!
Answers
Step-by-step explanation:
JM = 27 ---- ( given )
JM = KL
so, KL = 27
------------------------------FOLLOW MEplease help asap!
thank you
Answers
Answer:
x=20
Step-by-step explanation:
pentagon= 3 triangles could be made-> 3 x 180
total angle = 540
540= 5x+2+5x+10+4x+15+8x+8+3x+5
540=25x+40
500=25x
20=x
Answer:
x=20
Step-by-step explanation:
PLEASE HELP ME!!!
Determine whether the function rule models discrete or continuous data.
Function # 1: A movie store sells DVDs for $15 each. The function C(d) = 15d relates the total cost of movies to the number purchased d.
Function # 2: A produce stand sells roasted peanuts for $2.99 per pound. The function C(p) = 2.99p relates the total cost of the peanuts to the number of pounds purchased p.
A.) Functions # 1 models discrete data. Function # 2 models continuous data.
B.) Functions # 1 models continuous data. Function # 2 models continuous data.
C.) Functions # 1 models continuous data. Function # 2 models discrete data.
D.) Functions # 1 models discrete data. Function # 2 models discrete data.
Answers
Answer:
the answer is a tell me if this helps!!
as a ratio in simplest form, 33.5% is express as
Answers
Answer:
335/1000
Step-by-step explanation:
33.5% is .335 so 335/1000 is 33.5%
Annual sales for a company are $155,000 and increases at a rate if 8% per year for 9 years
Answers
155,000 + 12,400 = 167,400
- this is the rate for one year, find 8% of 167,400 and use addition to add your answer to 167,400 find the cost of the 2nd year, keep doing this until you have reached 9 years
The value of annual sales in 9 years is $309,845.72.
What is the value of annual sales in 9 years?In order to determine the annual sales of the company in 9 years, the formula to be used is:
FV = P (1 + r)^n
Where:
FV = Future value P = Present value R = interest rate N = number of years$155,000 x (1.08)^9 = $309,845.72
To learn more about future value, please check: https://brainly.com/question/18760477
if i had 8 cents and i divied it bye 8 how much will it be help
Answers
Answer:
1 simple
Step-by-step explanation:
Ashley is deciding between two jobs.
Job A pays $2000 a month with a
monthly raise of $85. Job B pays $2000
a month with a monthly raise of 4%.
a. Write a function to represent the
monthly salary for job B.
Answers
Answer:
job A because 4% of 2000 is 80 and job A is 5 dollars extra
Erin completes 11 transactions in his bank account. In 6 transactions, he withdraws $10 each time. in 5 transactions, he deposits $20 each time. Find the total net change in dollars.
Answers
Answer:
The answer is 30
Please give me Brainliest it would mean a lot
Calculate the volume of the prism shown below
Answers
Answer:
64
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
4x4=16
2x4=8
8x4=32
± =56²
39)117
What is the answer
Answers
Answer:
the answer of this question is 1/3
39/117 = 1/3
Given U = { a,b,c,d,e,f,g,h,i} P = {a,e,i} and Q = { b, a, g} List the elements of P' *
1 point
{b,c,d,f,g,h}
{a,e,i}
{b,a,g}
{a,b,c,d,e,f,g,h,i}
If A = { 1,2,3} and B = {2,1,3} . A and B are said to be *
1 point
equal sets
equivalent sets
empty set
finite sets
P = { 2,4,6,8} and Q = { a,b,c,d} . Will P =Q *
1 point
True
False
T={ colours of the rainbow} This an example of *
1 point
Choose
B = set of letters in the word ENGLISH. then n(B) = *
1 point
6
7
5
8
What type of set is shown in the diagram below? *
1 point

equal
disjoint
equivalent
infinite
R = { cars that fly}. R is an _____________ set *
1 point
empty
equivalent
equal
infinite
If P={m,n,l,} determine the number of subsets that can be formed from P *
1 point
4
12
8
16
Convert 17/3 to a mixed number *
2 points
5 2/3
10/3
3 1/3
51/3
48/60 reduced to its lowest term = *
2 points
12/15
4/5
10/14
3/4
Name the angles below in the order given *
3 points

right, acute, reflex
acute, right, obtuse
reflex, straight, full
obtuse, right, acute
What is the size of the missing angle? *
2 points

90
220
140
100
What is the size of y? *
2 points

115
245
295
65
What type of triangle is shown below? *
1 point

Equilateral
Isosceles
Right angled
Scalene
Calculate the value of x *
3 points

65
245
112
133
Calculate the value of x *
3 points

112
22
158
180
What is the value of e? *
3 points

65
130
50
100
A quadrilateral with two pairs of parallel sides and all angles equal is called a _____________ *
1 point
parallelogram
rectangle
trapezium
kite
*
3 points

75
100
260
50
*
3 points

129
309
160
51
*
3 points

120
128
52
90
Answers
Step-by-step explanation:
Given U = { a,b,c,d,e,f,g,h,i} P = {a,e,i} and Q = { b, a, g} List the elements of P' *
1 point
{b,c,d,f,g,h}
{a,e,i}
{b,a,g}
{a,b,c,d,e,f,g,h,i}
since P and Q share the same letter you're putting “A” in the middle where the two intersect. since U have B and Q have b we're putting it outside. so Q only supposed to have G. P is empty and U now have B,C,D,F,H.
p^1- p complement means everything outside of P so that will be b,c,d,f,g,h.
Factorize (4y-5)²+80y
Answers
Answer:
16y^2+40y+25
Step-by-step explanation:
[tex] {16y}^{2} + 40y + 25[/tex]
Step-by-step explanation:
(4y−5)^2+80y
Use binomial theorem (a−b)^2=a^2−2ab+b^2 to expand (4y−5)^2.
16y^2−40y+25+80y
Combine −40y and 80y to get 40y.
16y^2+40y+25
Bryan initially filled a measuring cup with 3/10 of a cup of syrup from a large jug. Then he poured 1/10 of a cup back into the jug. How much syrup remains in the measuring cup?
Answers
PLZ HELP ILL MARK U BRAINLIEST!!
Answers
Answer:
Step-by-step explanation:
The two horizontal line segments are the parallel sides of the trapezoid.
∠1 and ∠2 are corresponding angles of a transversal across parallel lines, so
∠1 is congruent with ∠2
Determine all of the roots of the polynomial P(x) = x3 - 8x2 - 8x + 24.
Answers
Answer: (x^2−10x+12)(x+2)
Step-by-step explanation:
Factor x^3−8x^2-8x+24 using Polynomial Division
write the product using exponents
(−6)⋅(−6)
Answers
Answer:
-6^2
Step-by-step explanation:
-6 x -6 = 36
Answer:
(−6)²
Step-by-step explanation:
(−6)⋅(−6)
This means the numbers are being multiplied.
A number is being multiplied by the same number. You can write an exponent for the number of times it's being multiplied by itself.
Example:
x = x¹
x·x = x²
x·x·x = x³
You are multiplying (−6) twice.
(−6)⋅(−6) = (−6)²
If the sphere shown above has a radius of 8 units, then what is the approximate volume of the sphere? (Use 3.14 for .)
Answers
Answer: 2144
Step-by-step explanation:
v = 4/3pir³
v = 4/3 (3.14) (8)³
v = 4/3 (3.14)(512)
v ≈ 2144
Answer:
2,143.57 cubit units.
Step-by-step explanation:
To find the volume of the sphere, use the formula given below.
Volume = 4/3π r³
Use this formula, the value given for the radius, and 3.14 for to find the volume.
Volume = 4/3π r³
~~ 4/3 (3.14) (8 units)³
~~ 2,143.57 cubic units
Therefore, the approximate volume of the sphere is 2,143.57 cubic units.
Name an (input, output) pair on the graph that could be removed from the data set to have the graph represent a function! :)