Answers
Answer and Explanation:
The problem provides the following information:
Hypotenuse
=
h
y
p
=
5129
ft
Vertical drop
=
o
p
p
=
1275
ft
To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:
sin
θ
=
o
p
p
h
y
p
θ
=
sin
−
1
(
o
p
p
h
y
p
)
θ
=
sin
−
1
(
1275
ft
5129
ft
)
θ
=
sin
−
1
(
0.2485864691
)
θ
=
14.3938824691
≈
14.4
∘
The angle of depression is
14.4
Related Questions
William has $25 to buy strings for his guitar. Each set of strings costs $9.
How many sets of strings can he buy? Do not include units in your answer.
Answers
Answer:
He can buy 2 full sets
Step-by-step explanation:
$25 divided by $9 per set is 2.8 sets. Assuming sets are only sold as whole packages that would be 2 full sets.
make a research about fibonacci sequence and its process kindly give at least five examples.
Answers
What is the Fibonacci sequence?
The Fibonacci sequence is a set of integers (the Fibonacci numbers) that starts with a zero, followed by a one, then by another one, and then by a series of steadily increasing numbers. The sequence follows the rule that each number is equal to the sum of the preceding two numbers.
The Fibonacci sequence begins with the following 14 integers:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ...
Each number, starting with the third, adheres to the prescribed formula. For example, the seventh number, 8, is preceded by 3 and 5, which add up to 8.
The sequence can theoretically continue to infinity, using the same formula for each new number. Some resources show the Fibonacci sequence starting with a one instead of a zero, but this is fairly uncommon.
Example 1: Starting with 0 and 1, write the first 5 Fibonacci numbers.
Solution: The formula for the Fibonacci sequence is Fn= Fn-1+Fn-2
The first and second terms are 0 and 1, respectively.
F0 = 0 and F1 = 1.
F2 = F0 + F1 = 0+1 = 1 is the third term.
F3 = F2+F1 = 1 + 1 = 2 is the fourth term.
F4 = F3+F2 = 1+2 = 3 is the fifth term.
The Fibonacci sequence’s first five terms are 0,1,1,2,3.
Example 2: Find the Fibonacci series’ next term: 0, 1, 1, 2, 3, 5…
Solution: The preceding two Fibonacci terms are the next term in the series.
As a result, the word that must be used is – 3 + 5 = 8
Example 3: What is the significance of Fibonacci numbers?
Solution: In financial statement analysis, Fibonacci numbers are pretty helpful. In addition, the Fibonacci number series may be utilized to provide valuable proportions or ratios for business people.
Example 4: Find the 12th term of the Fibonacci sequence if the 10th and 11th terms are 34 and 55, respectively.
Solution: Using the Fibonacci Sequence recursive formula, we can say that the 12th term is the sum of the 10th term and the 11th term
12th term = 10th term + 11th term
= 34 + 55
= 89
The 12th term of the Fibonacci sequence is 89.
Example 5: The 14th term in the sequence is 377. Find the next term.
Solution: We know that the 15th term = the 14th term × the golden ratio.
F15 = 377 × 1.618034
≈ 609.99 = 610
The 15th term in the Fibonacci sequence is 610.
learn more of Fibonacci sequence here https://brainly.com/question/14771443
#SPJ9
The cost of producing 390 calculators is $3100. Producing 490 calculators would cost $3700. Assuming the total cost is a linear function, write an equation for the cost of producing x calculators?
Answers
Answer:
y = 6x + 760
Step-by-step explanation:
In the problem you are given two pairs of numbers. These are both a pair of inputs and outputs, (x, y):
(390, 3100) also,
(490, 3700)
Write an equation by finding and filling in m and b in the following equation:
y = mx + b
To find m, which is the slope of the line, subtract y-y and put that on top. Then subtract x-x and put that on the bottom. See image.
Next, find b by use EITHER pair of numbers to find b.
I used (390, 3100).
see image.
m = 6 and b = 760
Fill these into
y= mx + b
y = 6x + 760
In case they ask, this means each calculator takes $6 to make and it costs $760 to set up your operation even before you have made any calculators.
K
Pedro has scores of 85, 84, 69, and 82 after four tests. What score must he make on his fifth test to have an average of 79 or greater?
The score that Pedro needs on his fifth test to get an average of at least 79 is
(Round to the nearest integer as needed.)
Answers
Answer: x > 75
Step-by-step explanation:
(85+84+69+82+x)/5 > 79
85+84+69+82+x > 395
x > 75
what is the complement of 14 17'
Answers
The complement of the angle 14° 17' would be; 75° 43'
What is the Complement of the Angle?We want to find the complement of the angle 14° 17'
The complement of 14° is the angle that when added to 14° forms a right angle (90° ).
Now, when an apostrophe is found in the word angles, it means 'angular minutes, while " denotes angular seconds. For instance, "75degree 20′ 39" means "75 degrees, 20 minutes, and 39 seconds."
Thus, 14° 17' means 14 degrees, 17 minutes.
Now, 17 minutes when converted to degree is;
17/60 degrees = 0.283. Thus; 14° 17' = 14.283
Now, the complement of 14° 17' would be;
90 - 14° 17' = 75° 43'
Read more about Angle Complement at; https://brainly.com/question/8566275
#SPJ1
1/5 + 1/3x > 1/2x - 1/4
Answers
The common denominator represent the value is X<2.7.
Get every x term on the right side and every constant term on the left to begin.
1/5+1/3 X>1/2 X-1/4
1/5+1/4+1/3 X>1/2 X
1/5+1/4>1/2 X-1/3 X
The two halves of a fraction are the numerator and the denominator. Any arithmetic operation involving two or more fractions, such as addition or subtraction, is possible if the denominators of the two fractions are the same. To this, the phrase "common denominator" relates.
When two fractions have the same denominator, we refer to them as having common denominators. Common denominators facilitate fractional operations like comparison, addition, and subtraction.
Give common denominators to the terms on each side now.
4/20+5/20>3/6 X-2/6 X
9/20>1/6 X
By multiplying both sides by 6, we may now.
27/10>X
2.7>X
Hence, the common denominator value is X<2.7.
To learn more about common denominator, visit:
brainly.com/question/11516652
#SPJ9
A large juice jug holds the equivalent of 10 drinking cups: 4 jugs hold 189 ounces more than 13 drinking cups. How many ounces does a cup hold? Find the given, unknown, known, and solve
Answers
The one cup holds 7 ounces of juice.
According to the statement
We have to find that the How many ounces does a cup hold.
So, For this purpose, we know that the
A quantity is a property of some object or collection of objects that is measurable.
From the given information:
A large juice jug holds the equivalent of 10 drinking cups: 4 jugs hold 189 ounces more than 13 drinking cups.
Let the amount held by a cup be y ounces.
So the large jug holds 10y ounces.
4 jugs hold 189 ounces more than 13 cups
4*10y=189+13y
40y-13y=189
27y=189
y=7
A cup holds 7 ounces.
So, The one cup holds 7 ounces of juice.
Learn more about quantity here
https://brainly.com/question/25109150
#SPJ9
Write the solution set in interval notation and graph the inequality
{[tex]{x|2\ \textless \ X\leq 7[/tex]}
Answers
The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].
Given that a inequality y={x ; 2<x≤7} and asked to find the solution set for the given inequality and plot graph according to that
⇒ y={x ; 2<x≤7} i.e domain=(2,7].
⇒y=x ∀ x ∈ (2,7]
The solution of the given inequality is x ∈ (2,7].
Therefore,The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].
Graph: image attached
y=x ∀ x ∈ (2,7] is plotted {open at (2,0) and close at (7,0)}
Learn more about inequality here:
https://brainly.com/question/20383699
#SPJ9
Solve for n
s = 4n+4v
Answers
We get the equation in terms of n as n = s / 4 - v.
Equation:
An equation is an expression with an equal sign.
For example:
3 x + 4 y = 5
2 x + 5 y = 9 etc.
We are given an equation:
s = 4 n + 4 v
We have to solve this for n.
First we will subtract 4 v from both sides:
s - 4 v = 4 n + 4 v - 4 v
s - 4 v = 4 n
4 n = s - 4 v
Now divide both the sides by 4:
4 n / 4 = (s - 4 v) / 4
n = s / 4 - v
Therefore, we get the equation in terms of n as n = s / 4 - v.
Learn more about equation here:
https://brainly.com/question/1214333
#SPJ9
need help on 11-17 pls. Thank u
Answers
12) 72 and 108 degrees (left to right)
14) b=-3/2
I don’t have the rest I’m sorry
3+ −6 = ? I need an answer asap!
Answers
Answer:
-3
Step-by-step explanation:
Hope this helps!
Answer:
-3
Step-by-step explanation:
if its negative then it will continue to be unless 7 is added into -6. So, adding 3 to that would make it -3
help me! the marching band needs to create rows for its performance. there are 24 instruments and 16 flag bearers. Only one type of performer can be in each row. what is the maximum number of performers in each row so that all the rows are equal in length.
Answers
The maximum number of performers in each row so that all the rows are equal in length is 8.
How to calculate the value?From the information, the marching band needs to create rows for its performance. there are 24 instruments and 16 flag bearers.
Therefore, we will find the highest common factor for both numbers. This will be:
24 = 1 2 3 4 ,6 8 12 24
16 = 1 2 4 16
Therefore the highest factor is 8
The maximum number of performers in each row so that all the rows are equal in length is 8.
Learn more about factor on:
brainly.com/question/25829061
#SPJ1
If y = x³ +3,
find the value of y when x = -1
Answers
Answer:
Step-by-step explanation:
y = x^3 + 3
y = (-1)^3 + 3
y = -1 + 3
y = 2
I need to estimate then find the product 416x9 =3,744 why is the estimate 3,600?
Answers
First of all we know about the Estimation.
What is the Estimation?
To estimate the result of multiplication (product), round the numbers to some close numbers that can easily multiply . One method of estimation is to round all factors to the biggest digit (place value) they have.
General rule for rounding:
1 ) If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
2 ) If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
So the last digit of number is 44 which is less then 50 so the number is down to its 10's.
thats the reason why when we estimate the product of 416x9 =3,744 is 3,600.
To learn more about Estimation
visit https://brainly.in/question/10335139
#SPJ9
2) A Zookeeper needs 876 kilograms of food to feed the animals. She has 287 kilograms of food now. How much more food does she need to buy?
Answers
Answer:
She will need to buy 589 kilograms.
Step-by-step explanation:
Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 19 of the 59 boxes on the shelf have the secret decoder ring. The other 40 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that both of them have the secret decoder ring?
Answers
The probability that both of the boxes one would select had the decoder ring is 9.9%.
Given, the store manger gives the surety that 19 out of 59 boxes on the shelf have the secret decoder ring.
The boxes on the shelf which have a different gift inside is = 40 boxes.
If one randomly selects two boxes from the shelf to purchase, the probability that both of them have the secret decoder ring = ?
You can imagine that someone used invisible link to label each box with a number, and knows that boxes number 1 through 19 have decoder rings, while boxes number 20 through 59 have other gifts.
There are 59×58/2
= 3422/2
= 1711 possible sets of two boxes that one could select, but there are only 19 × 19/2
= 342/2
= 171 possible sets of two boxes with decoder rings.
The fraction of possible pairs of boxes where both boxes have the secret decoder ring is:
= 171/1711
= 0.099 = 9.9%
Hence there is 9.9% probability that both of the boxes one might select had a decoder ring.
Learn more about Probability here:
brainly.com/question/251701
#SPJ9
Please help simplify this function, high school level, will give brainliest :)
Answers
The simplified form of the expression (( (-2 + h)³ + 8 ) / h) is h² - 6h + 12
What is the simplified form of the given expression?Given the expression in question;
( (-2 + h)³ + 8 ) / h
First, we simplify the numerator.
Lets rewrite 8 as 2³
(-2 + h)³ + 2³
Now, we can use the sum of cubes formula to factorize since both terms are perfect cubes.
a³ + b³ = ( a + b )( a² - ab + b² )
(-2 + h)³ + 2³ = ( -2 + h + 2 )( (-2 + h)² - (-2 + h)2 + 2² )
(-2 + h)³ + 2³ = h( (-2 + h)² + 4 - 2h + 4 )
(-2 + h)³ + 2³ = h( (-2 + h)²- 2h + 8 )
(-2 + h)³ + 2³ = h( (h² - 4h + 4 )- 2h + 8 )
(-2 + h)³ + 2³ = h( h² - 4h + 4 - 2h + 8 )
(-2 + h)³ + 2³ = h( h² - 6h + 12 )
Now bring back the denominator.
( h( h² - 6h + 12 ) ) / h
Cancel the common factors h
h² - 6h + 12
Therefore, the simplified form of the expression (( (-2 + h)³ + 8 ) / h) is h² - 6h + 12
Learn more about sum of cubes formula here: https://brainly.com/question/10367382
#SPJ1
Explain why this is not true. WILL GIVE BRAINLIEST
Answers
Answer:
x(assuming x = 1) + 3 is not less than a negative number(-2).-5 + 3 is 2, so that should be put as equal.-2 is equal to -2.2 is greater than -2 on a scale of positive to negative.A scientist uses a submarine to study ocean life.
She begins 133 feet below sea level.
After descending for 4 seconds, she's 225 feet below sea level.
Find the rate of change in the submarine's elevation in feet per second. Round your
answer to the nearest tenth.
Answers
The Rate of the change of position per second is 23 feet.
According to the statement
We have to find that the rate of the change of the position in the sea level.
So, For this purpose, we know that the
Rate of change is used to mathematically describe the percentage change in value over a defined period of time
From the given information:
She begins 133 feet below sea level.
After descending for 4 seconds, she's 225 feet below sea level.
Then
Rate of the change of position is = final position - initial position / time
Rate of the change of position is = 225 - 133 / 4
Rate of the change of position is = 92 / 4
Rate of the change of position is = 23.
So, The Rate of the change of position per second is 23 feet.
Learn more about Rate of change here
https://brainly.com/question/25109150
#SPJ9
The perimeter of a rectangular window is 324 cm .
If the width of the window is 73 cm , what is its length?
Answers
Answer:
The length is 89 cm============================
Perimeter equationP = 2(l + w), where
P- perimeter, l- length, w- widthGivenP = 324 cm,w = 73 cmFind the value of l:
324 = 2( l + 73)l + 73 = 324/2l + 73 = 162l = 162 - 73l = 89Answer:
L = 89 cm
Step-by-step explanation:
Formula we use,
→ P = 2(L + W)
Then the value of its length is,
→ P = 2(L + W)
→ 324 = 2(L + 73)
→ 324 = 2L + 146
→ 2L = 324 - 146
→ L = 178/2
→ [ L = 89 cm ]
Hence, the length is 89 cm.
Denise Cho is a broadcast technician and earns $29.00 an hour with time and a
half for overtime. Last week she worked 40 hours plus overtime. If her total pay
was $1836.38, how many overtime hours did Denise work?
Answers
hsksebhssv hnshsnsjdndj ldgehsiw c 3072729 lvwjaiwn sj. +a iwiwirbfhx ska hamd +675196 = $ 20000 solved
A local hamburger shop sold a combined total of 684 hamburgers and cheeseburgers on Saturday. There were 66 fewer cheeseburgers sold than
hamburgers. How many hamburgers were sold on Saturday?
Answers
Answer:
375
Step-by-step explanation:
Let the number of hamburgers sold be x. Then, x-66 cheeseburgers were sold.
[tex]x+x-66=684 \\ \\ 2x=750 \\ \\ x=375[/tex]
Kadeem has $680 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
• He buys a new bicycle for $470.65.
• He buys 2 bicycle reflectors for $7.87 each and a pair of bike gloves for $15.18.
• He plans to spend some or all of the money he has left to buy new biking outfits for $50.98 each.
Write and solve an inequality which can be used to determine x, the number of outfits Kadeem can purchase while staying within his budget.
Answers
Total money with Kadeem = $680
Money spent by him on a new bicycle = $470.65
Money left with him after buying a new bicycle = 680 - 470.65 = 209.35
Money spent by him on 2 bicycle reflectors = 7.87*2 = $15.74
Money left with him after buying reflectors = 209.35 - 15.74 = $193.61
Money spent by him on bike gloves = $15.18
Money left with him after buying biking outfits: 193.61 - 15.18 = $178.43
Cost of each outfit = $50.98
Let the number of outfits Kadeem can buy be x, therefore formulating the equation we get:
50.98x< = 178.43
x< = 3.5
So, Kadeem can buy 3 outfits while staying within budget
Learn more about inequality:
https://brainly.com/question/20383699
#SPJ1
The larger room is twice as wide as the smaller room which is 29 3/4’. How wide is the
larger room?
Answers
Answer: 59.5
Step-by-step explanation: 29 3/4 times 2
I think
i need help this is due tomorrow
Answers
a. Equation: (1/2)/4, Answer: 1/8
b) Equation: (1 1/2)/(1/4), Answer: 6
c) Equation: 10(1/4+1/8), Answer: 3 3/4
Which operation should you calculate first? 18÷3−7+2×5
Answers
Answer:
9 will be the answer.....
A couch with a list price of $2200 will be discounted 35 % at the time of purchase. What is the sale price before taxes?
Answers
The sale price before taxes and after discount is $1,430.
Given that A couch with a list price of $2200 will be discounted 35 % at the time of purchase and asked to find the sale price before taxes.
The original cost of the couch=$2200
The discount percentage=35 %
I.e. 35 % of $2200 is $770
The discount given to the customer will be 35% i.e. $770
⇒The selling price will be $770 less than the original cost price.
As a result, the selling price will be =$2200-$770
The Selling price of the couch is $1,430
Therefore,The sale price before taxes and after discount is $1,430.
Learn more about sale price here:
https://brainly.com/question/20106496
#SPJ9
please answer 8,9,10 show work
Answers
Answer:
8. HI = 25 cm
9. HJ = 27.5 cm
10. IK = 5.5 cm
Step-by-step explanation:
Given segments JK=3 cm and IJ=2.5 cm of 30.5 cm length HK having points H, I, J, K in sequence, you want to find missing segment lengths.
Segment sum theoremThe segment sum theorem tells you the length of a line segment is the sum of the lengths that make it up. That means ...
HI +IJ +JK = HK
This lets you find the lengths of the various segments without concerning yourself with the value of x.
8. HIUsing the given lengths in the above sum, we have ...
HI +2.5 +3 = 30.5
HI = 30.5 -5.5 = 25
The length of HI is 25 cm.
9. HJThe overall length is the sum of its parts:
HI +IJ = HJ
25 +2.5 = 27.5 = HJ
The length of HJ is 27.5 cm.
10. IKThe overall length is the sum of its parts:
IJ +JK = IK
2.5 +3 = 5.5 = IK
The length of IK is 5.5 cm.
__
Additional comment
In case you actually want to find x, you can find it from ...
HI = 3x +4
25 = 3x +4
21 = 3x . . . . . . subtract 4
7 = x . . . . . . . divide by 3.
In this set of problems, the only use of x is to find the value of 3x+4, which you have already seen is 25.
Help don’t understand question
Answers
Jenny’s softball team won 7 out of 13 games this season. Brooke’s team won 55% of their games and Mia’s team won 9/17 of their games. Which team had the best winning percentage?
Answers
Answer:
down below
Step-by-step explanation:
Brooke's team won 55%. 9 out word of 17 is 52.94% and 7 out of 13 is 53.85%. Now, we compare the numbers. 55% is more so, Brooke's team had the best winning percentage.
Hope this helps! :)