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
Continue to name one point that is a solution to the
inequality and one point that is not a solution.
y ≤ 3x + 4
Answers
Answer:
y≤6x+8
Step-by-step explanation:
Given function:
y≤3x+4This means:
variable stays same
if y=7 then x=1 and if y=14 then x can be 2 or 3.
we can also think as:
y≤6x+8
what we did:
double the number: 3x+4 · 2 = 6x+8
Therefore, another equation for y≤3x+4 would be y≤6x+8.
140 with the power of 1/8 in radical form
Answers
Answer:
The answer is 8√140.5
Step-by-step explanation:
Annabelle has 56 1 cm³ what are the dimensions of the rectangle Langer prism Annabelle could build with all the cubes
Answers
Answer:
The six possible rectangular prisms Anabelle could build are;
W = 1, B = 1, L = 56
W = 1, B = 2, L = 28
W = 1, B = 4, L = 14
W = 2, B = 2, L = 14
W = 1, B = 7, L = 8
W = 2, B = 4, L = 7
Step-by-step explanation:
The number 1 cm³ Annabelle has = 56
The dimensions volume of the cubes Annabelle could build with the 1 cm³ = 56 cm³
The volume of rectangular prism, V = L × B × W
∴ For the rectangular prism, V = 56 cm³ = L × B × W
Therefore, the possible dimensions of the prism are three factors of 56, including;
1, 2, 4, 7, 8, 14, 28, 56
The combination of 3 factors of 56 that can be multiplied together to give 56 and therefore, the possible rectangular prisms includes;
W × L × B = A
1) 1 × 1 × 56 = 56
2) 1 × 2 × 28 = 56
3) 1 × 4 × 14 = 56
4) 2 × 2 × 14 = 56
5) 1 × 7 × 8 = 56
6) 2 × 4 × 7 = 56
There are therefore 6 possible rectangular prisms Annabelle could build
what is 72% of 250? I need help I have a d in math
Answers
Answer:
180
Step-by-step explanation:
72% of 250
72% x 250
72/100 x 250 = 180
I hope im right!!
72/100*250= 180
what's the domain of f(x) = 3x/x^2+64
Answers
The domain is [tex]x\neq 0[/tex] because that would make the denominator 0 which is undefined
7. Find the missing length. A. 36 B. 48 C. 49 D. 80
Answers
Answer:
A. 36
Step-by-step explanation:
100-64= 36
write your own story problem using multiplying or dividing fractions.
(maybe include a answer)
Answers
Answer:
At a sleepover, Karen, Jennifer, Alice and Kyle ate 8/4 slices of pizza. Later that night, everyone realized that they needed to know how much pizza they ate in total. Can you help?
Step-by-step explanation:
8/4 is 2 and there are 4 people
so basically 2*4 is 8
lol simple
Identify an equation in point-slope form for the line perpendicular to
y = 1/4 x-7 that passes through (-2, -6).
Answers
Answer:y=-1/4x+3
Step by step explanation: i cant explain it
What is the range of the first graph & the domain of the second graph ?
Answers
Answer:
09
Step-by-step explanation:
dkdkdinddkkddksnndkeke
The %5 sales tax on a $1500 tv need asap please and thanks
Answers
Answer:
This would be 75 dollars, or a total of 1575 dollars (the tv with tax)
Step-by-step explanation:
convert 5% to decimal = .05
.05 multiplied by 1500 = 75
75+1500=1575
Answer:
CP=1500
SALES TAX%=5
so, the answer after the calculations would be
$75.00
Hope it helps
Mark me as Brainliest please uwu
Please help me will mark brainliest
Answers
The longest angle is opposite to the longest side in a triangle. The same goes for the shortest and middle angles.
B is opposite to the 57 degree angle, the shortest angle, so it’s the shortest side. A is opposite to the 59 degree angle, so it is the second shortest side. C is opposite to the 64 degree angle, the largest angle, so it’s the longest side.
I need to show my work ASAP
Answers
Answer:
intergers
square root of 14 = 3.74
integer is 4
nearest tenth is 3.7
square root of 90 =9.49
interger = 9
nearest tenth =9.5
square root of 175 =13.23
interger =13
nearest tenth =13.2
A car drives 120 miles at a speed of 40 mph. How long did it take?
Answers
Answer:
3 hours
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
120/40=3
Use the line plot below to determine the number of times less than 14 pieces of trash were collected at recess. A. 0 B. 5 C. 6 D. 9
Answers
Answer:
b
Step-by-step explanation:
because i helped your welcome
Determine the vertical asymptotes and holes for the graph of the equation below.
y=[tex]\frac{x+7}{x^2+8x+7}[/tex]
Please show all steps to solve!
Answers
Since x ² + 8x + 7 = (x + 7) (x + 1), we have for x ≠ -7,
y = (x + 7) / (x ² + 8x + 7) = 1/(x + 1)
so y is undefined at x = -1, indicating a vertical asymptote, and there is a hole/removable discontinuity at x = -7. Then the answer is D.
A teacher is planning a class trip to the aquarium. The aquarium requires 2
chaperones for every 15 students. The teacher plans accordingly and orders a
total of 85 tickets. How many tickets are for chaperones, and how many are for
students? Use the table to help you solve.
Use a table.
(Fill rows as needed.)
kids
chaperones
total
15
2
17
Answers
Answer:
The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, ...
Step-by-step explanation:
Graph each pair of ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary.
1. (4, 3), (1, –1)
Answers
I don't know what to do with this one????!!!!!
Answers
Answer:
Step-by-step explanation:
height of post ÷ length of shadow = 2/10 = ⅕
height of tower is ⅕ the length of its shadow.
⅕×125 = 25
The tower is 25 feet tall
Indicar el número entero que corresponde a cada
situación
a) Se realiza un descuento de $20 en la primera compra con tarjeta de crédito.
b) Se acredita $15 al saldo telefónico por una promoción.
c) La playa de estacionamiento se encuentra en el tercer subsuelo
.
d) María Angélica tiene una deuda de $300.
e) En el nordeste de Francia la temperatura llegó a los 15 grados
bajo cero.
f) La empresa disminuyó las ventas en un promedio de 5 000
unidades por mes.
Answers
Answer:
a)-20
b)+15
c)-3
d)-300
e)-15
f)-5000
g)-400
h)-250
i)+420
PLEASEEEEE HELPPPPP ASAPPPPP
Answers
Answer:46x
Step-by-step explanation:
hyhh
Which is equivalent toStartRoot 10 EndRoot Superscript three-fourths x ?
Answers
Answer:
D
Step-by-step explanation:
D
D
D
D
D
D
D
Answer:
D
Step-by-step explanation:
Can someone help me on this plzzz
Answers
Sarah went to lunch with 4 friends. The total bill was $125.68 and they had coupon for $20 off. How much did each person pay?
Answers
Please answer!!! I’ll make brainliest
Answers
Answer:
x = 6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 8² = 10²
x² + 64 = 100 ( subtract 64 from both sides )
x² = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
Answer:
6
Step-by-step explanation
Ordered triples only apply to right triangles
3,4,5 is an ordered triple
multiply (3,4,5) by 2 and you get (6,8,10)
the 2 other side lengths are 8 and the hypotenuse is 10 then the other side length is 6.
-------------------
That is just a way to do it quickly and it does not always apply.
the formula for Pythagorean and theorem is a^2+b^2=c^2
a=leg of the triangle
b=other leg of teh triangle
c=hypotenuse(longest leg)
as we can see here 10 is the longest so it is the hypotenuse.
So then we can assume that 8 is a leg of the triangle
so we insert that into the equation
a^2+8^2=10^2
subtract 8^2 from both sides
a^2=10^2-8^2
a^2=100-64
a^2=36
square root both sides
a=√(36)
a=6
Hope that helps :)
Hi need points?
I’ll also give best answer
Answers
Answer:
can you answer my latest post plsssssss id appreciate it
Step-by-step explanation:
Plz, answer this question plz!
Answers
Answer:d
d
Step-by-step explanation:
Answer: C. 2/3
Step-by-step explanation:
Take the number of times the coin was flipped on heads (12)
and the total number of times the coin was flipped (18)
make it a fraction
12/18
reduce the fraction by dividing both numbers by 6
2/3
Alex bought a new skate board at 20% discount. He paid $72. What percent of the original price did he pay?
Answers
Answer:
Step-by-step explanation:
Alex bought a new skate board at 20% discount. He paid $72. What percent of the original price did he pay?
Step 1
We find the original price
= Percent Discount × Original price =
= 20% × Original price = $72
= 0.2 × x = $72
x = $72/0.2
x = 360
The list price on a winter coat is $84. It is being sold at a 23% discount. What is the sale price of the coat?
A)$64.68
B)$61.32
C)$47.48
D)$22.68
Answers
Answer:
A) $64.68
Step-by-step explanation:
Note that 23% = 23/100 = 0.23
First, multiply $84 with 0.23:
84 x 0.23 = 19.32
Next, subtract 19.32 from the total cost:
84 - 19.32 = 64.68
A) $64.68 is your answer.
~
Answer:
A)$64.68
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
PLEASE HELP ME ASAP!!!!!
Can you use this pattern to find 111111111*11111111 without a calculator? Please Explain
Answers
Answer:
Probably not
Step-by-step explanation:
That's a lot of numbers
The Furlani’s went on a road trip. Driving at a constant speed for 2 hours, they covered 120 miles of their trip. If their destination is 600 miles away, how long will they be driving?
Answers
Answer:
They will be driving for a total of 10 hours or 8 more hours than they've already traveled.