Answers
Answer:
h = 435.779 m
Step-by-step explanation:
Step 1: Define variables
∅ = 5°
Hypotenuse (the road) = 5000 meters
We need to find height (or the vertical leg on the triangle) = h
Step 2: Use trig
sin∅ = opposite over hypotenuse
sin5° = h/5000
Step 3: Evaluate
5000sin5° = h
h = 435.779 m
Answer:
the increase of altitude is 435.8 m
Step-by-step explanation:
see attached
inclined road at 5°
after driving 5000 along the end road.
find:
increase of altitude (h)
let Ф = 5°
road = hypothenuse
using the formula Sin Ф = h ÷ hypothenuse
Sin(5) = h
5000
h = Sin (5) x 5000
h = 435.8 m
therefore,
the increase of altitude is 435.8 m
Related Questions
The perimeter of a rectangular flower bed is 68 feet. Find the dimensions of the flower bed if the length is 2 less than three times the width.
Answers
Answer:
Step-by-step explanation:
Perimeter of the rectangular flour = 2(Length+Width)
P = 2(L+W)... 1
If if the length is 2 less than three times the width, then L = 3W - 2.... 2
Substitute equation 2 into 1;
P =2(3W-2+W)
68 = 2(4W-2)
68 = 8W-4
8W = 68+4
8W = 72
W = 72/8
W = 9 feet
Since L = 3W-2
L = 3(9)-2
L = 27-2
L = 25
The length is 25ft and the width is 9ft
Is 0 a real, imaginary, or complex number?
Answers
Answer: 0 is a imaginary number
Step-by-step explanation:
After 8 points are added to each score in a sample, the mean is found to be M= 40. What was the value for the original mean
Answers
Answer:
The value for the original mean = 32
Step-by-step explanation:
Here, we want to calculate the original value of the mean.
Let the number of samples be n
Mathematically;
mean = Total value/n
Now, we added 8 to each of values; total value added = 8 * n = 8n
Now, for the new mean of 40; we have
(Total value + 8n)/n = 40
Total value + 8n = 40n
Total value = 40n -8n
Total value = 32n
kindly recall from the beginning of the solution;
mean = Total value/n
mean = 32n/n
mean = 32
So the original value of the mean is 32
A negative number multiplied by a negative number will result in a ___ product.
Answers
Answer:
Positive product
Step-by-step explanation:
How many ads had at least 15, but fewer than 30, words?
1234500372308
Answers
Answer:
204
Step-by-step explanation:
I mean logical right lol
-i+5=t-19 please help!!
Answers
Answer: t=24−i
Step-by-step explanation:
A line passing through the points (6,-2) and (-2,4). Complete the work shown
Answers
Answer:
2.5
Step-by-step explanation:
If BC = 5x − 15, CD = 4x, and BD = 8x + 4, what is BD? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you please type it in a step by step.
Answers
Answer:
156
Step-by-step explanation:
CD+BC=BD
[tex](5x - 15) + 4x = 9x - 15 = 8x + 4 \\ x = 19 \\ bd = 8x + 4 = (8 \times 19) + 4 = 156[/tex]
What kind of number is 92 and why? if you know the others that'd be great!!
Answers
Answer:
hello!
Step-by-step explanation:
The number 92 is a rational number if 92 can be expressed as a ratio, as in RATIOnal. A quotient is the result you get when you divide one number by another number. For 92 to be a rational number, the quotient of two integers must equal 92.
y varies directly with x Part 1
19. If y = 4 when x = -2, find x when y = 6
20. If y = 6 when x = 2, find x when y = 12
21. If y = 7 when x = 2, find x when y =3
Answers
Answer:
19. -3
20. 4
21. 6/7
Step-by-step explanation:
Since the variables are proportional, you can multiply the given x value by the new/old ratio of y-values.
19. x = 6/4(-2) = -3
20. x = (12/6)(2) = 4
21. x = (3/7)(2) = 6/7
8 plus 78 oooooooooooooooooooooooooooooooooooooooooooooo
Answers
Answer:
86 ✌️
Step-by-step explanation:
just get a calculator
Zoe mows the lawn in the summer to earn extra money she usually charges $15 per week but she offers a special rate of $59.50 if a customer prepaid for 5 weeks. how much does a customer pay for each week with a special rate?
Answers
Answer:$11.90
Step-by-step explanation:
Divide 59.50 by 5
State how many solutions, 3 + 2x + 1 = 2x + 3
Answers
Answer:
Step-by-step explanation:
3 + 2x + 1 = 2x + 3
2x + 4 = 2x + 3
4 ≠ 3
no solution
Phyllis, Kelly, Erin, and Renee bought a gift for their dance instructor. The total cost of the gift, 1 including tax, was $55.80. Erin paid $14, Kelly paid of the cost, Renee paid 25% of the cost, and Phyllis paid the remaining cost. What amount did Phyllis pay? $41.80
Answers
Answer:27.85
divide 55.8 by 100 and you get 0.558 and then multiply that by 25 which is 13.95 and then add that with 14 dollars.That equals 27.95 dollors for kelly and renee and then lastly subtract the 27.95 dollars from the total amount of the price to get phyllis's price
Determine whether the given segments have the same length. Complete the justification of your answer,
AB and BC
The length of AB is
length
The length of BC is /
.So, AB and BC (select)
the same length
Answers
Answer:
No does not contain the same length
Step-by-step explanation:
Given that
A(-4,2) , B (1,4), C (2, -1)
Now
AB would be
= [tex]\sqrt{(1-(-4))^2 + (4-2)^2} \\\\= \sqrt{29}[/tex]
And, BC is
[tex]= \sqrt{(2-1)^2 + 1-(-4))^2} \\\\= \sqrt{26}[/tex]
As we can see that the AB and BC are not equaled
So,
AB ≠ BC
Due to the different length
Therefore they do not contains the same length
We simply applied the distance formula due to which the length could be determined and the same is to be considered
Find the 9th term of the geometric sequence 4, 16, 64, ...
Answers
Answer: Just keep multiplying by 4 after 64 like multiply 64 times 4 and do that number times and keep doing that until its the 9th answer :)
Step-by-step explanation:
A geometric series is the sum of an unlimited number of terms with a fixed ratio between them. The 9th term of the geometric sequence 4, 16, 64, ... is 262,144.
What is geometrical series?A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.
The first term of the series is 4, while the ratio of the geometric sequence:
[tex]\rm Ratio, r = \dfrac{16}{4} = 4[/tex]
Thus, the 9th term of the geometric series can be written as,
[tex]a_n = a_1 \times r^{(n-1)}\\\\a_9 = 4 \times 4^8\\\\a_9 = 262,144[/tex]
Hence, the 9th term of the geometric sequence 4, 16, 64, ... is 262,144.
Learn more about Geometrical Series:
https://brainly.com/question/4617980
#SPJ2
divide 26x^4 - 13x^3 - 74x^2 - 46x - 24 by 2x^2 - 3x -5 and verify the result by division algorithm
Answers
Answer:
Step-by-step explanation:
Using long division:
13x^2 + 13x + 15 <------------Quotient
_________________________
2x^2 - 3x - 5 ) 26x^4 - 13x^3 - 74x^2 - 46x - 24
26x^4 - 39x^3 - 65x^2
26x^3 - 9x^2 - 46x
26x^3 - 39x^2 - 65x
30x^2 + 19x - 24
30x^2 - 45x - 75
64x + 51 <---- Remainder. Division algorithm:
a = bq + r
Here a = the original expression , b = the divisor (2x^2 - 3x - 5), q is the quotient and r = the remainder,
26x^4 - 13x^3 - 74x^2 - 46x - 24 = (2x^2 - 3x - 5)(13x^2 + 13x + 15) + 64x + 51
= 2x^2(13x^2 + 13x + 15) - 3x(13x^2 + 13x + 15) - 5(13x^2 + 13x + 15) + 64x + 51
= 26x^4 + 26x^3 + 30x^2 - 39x^3 - 39x^2 - 45x - 65x^2 - 65x - 75+64x+51
= 25x^4 - 13x^3 - 74x^2 - 46x - 24 which is the same as the above.
Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15
Answers
Answer:
45,42,126
multiply by 3
The next three terms in the sequence are : 45, 42 and 126
Given the sequence 2, 6, 3, 9, 6, 18, 15
Rule :
Multiply the first term by 3 to obtain the second term Subtract 3 from the 2nd term to obtain the third term The third term is multiplied by 3 to obtain the fourth term Subtract 3 from the fourth term to obtain the fifth term. And the process continues....Starting with the first term ; 2 ;
2nd term = 2 × 3 = 6
3rd term = 6 - 3 = 3
4th term = 3 × 3 = 9
5th term = 9 - 3 = 6
6th term = 6× 3 = 18
7th term = 18 - 3 = 15
8th term = 15 × 3 = 45
9th term = 45 - 3 = 42
10th term = 42 × 3 = 126
Hence, the next three terms of the sequence are : 45, 42 and 126
Learn more : https://brainly.com/question/18109692
b is the midpoint of AC. a has coordinates (9.11), and B has coordinates (-10,5). find the coordinates of c.
Answers
Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. slope = 7, passing through (1,-3)
Answers
Answer:
Step-by-step explanation:
y + 3 = 7(x - 1)
y + 3 = 7x - 7
y = 7x - 10
PLEASE HELP I SUCK AT MATH I APPRECIATE IT❤️❤️
Answers
Answer:
1 term 3x²
two term x+8, 3x³ +5x²
3 term 2x²+x-3
Step-by-step explanation:
Five less than one half of a number is 18.
5 – = 18
1/2 – 5 18
x – 5 = 18
5- X = 18
Answers
Answer:
x-5=18 because x would be the number with "5 less" being the "-5."
Hoped I helped
mark me as brainliest
What is the value expression for |-8|
Answers
Answer:
8
Step-by-step explanation:
Andy is hanging wallpaper
Answers
Answer:
Mandy is painting the wall
Truffles cost $3 each and caramels cost $2 each. If t represents the number of truffles and c represents the number of caramels, explain what each of the following expressions represents. Explain your reasoning for each. a) t +c b) 3t +2c
Answers
Answer:
a) Combined amount of truffles and caramels bought
b) Amount of money spent in total on both truffles and caramels
At a carnival 7 out of 10 pepole order hotdogs if there is 90 pepole at the carnival how many of them did not order a hotdog
Answers
Answer:
20 people did not order hotdogs
Step-by-step explanation:
if there is 90 people and 7 must represent 70 / 90
Find the measurement
Answers
Answer:
RS = 2.4 cm
Step-by-step explanation:
given:
ST = 1.6cm
RT = 4 cm
RS + ST = RT
plugin values into the equation:
RS + 1.6 = 4
RS = 4 - 1.6
RS = 2.4 cm
Are all numbers rational?
Answers
please need help on this one I'll give you 5 stars and a heart or maybe a brainliest
Answers
Answer:
13
Step-by-step explanation:
14x-1=x+12
13x=13
x=1
x=12
1=12
=13
Answer:
13
Step-by-step explanation:
use a ruler on this one. its super easy.
not saying to do it all the time, but for this one it is ok
Which statement is true about this function for all values of x < 4
The function is positive.
The function is decreasing.
The function is increasing.
The function is negative.
Answers
Answer:
The Function is Decreasing.
Step-by-step explanation:
I hope this helps you :)
Answer:
I would also say that the function is decreasing.
Step-by-step explanation: