Answers
Answer:
Angle of elevation = 21.167°
Step-by-step explanation:
Given:
Horizontal distance cover by rover = 180 m
Vertical distance cover by rover = 65 m
Find:
Angle of elevation
Computation:
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
⇒ Sin θ = Vertical distance cover by rover / Horizontal distance cover by rover
⇒ Sin θ = 65 / 180
⇒ Sin θ = 0.3611
⇒ Sin⁻¹ (0.3611) = 21.167°
Angle of elevation = 21.167°
Related Questions
3)
Rick says he has
two miles already.
Which form of the verb best completes the sentence?
A)
ran
B)
run
C)
running
D)
runs
Answers
Step-by-step explanation:
Because the sentence is speaking that he has done already so we will use the past verb ran
Rick says he has ran two miles already
Answer:
b. run
Step-by-step explanation:
Rick says he has run two miles already
It will be "ran" if the sentence had said, "Rick 'ran' two miles already."
BRAINLIST PLS!
What is the reference angle for the angle with the measure 2x/3
Answers
The reference angle for the angle with the measure 2x/3 is 54⁰
How to determine the reference angle?You should understand that a reference angle is the acute angle to a given angle.
The given angle is 2x/3
We should understand that since the angle has the variable x
= x + 2x/3 = 90⁰
Simplifying the fraction to have
(3x+2x)/3 = 90
Cross and multiply we have 5x=270⁰
Making x the subject
x= 270/5
x=54⁰
Therefore, the reference angle with the measure 2x/3 is = 54⁰
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what is a Pythagoras theorem
Answers
The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
What is mathematical representation of Pythagoras theorem?From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;
C² = a²+b²
Where:
'C' represents the hypotenuse which is the longest part of the triangle and is always diagonal connecting the two other points.'a' represents the perpendicular length that forms the angle 90° of the right angle triangle.'b' represents the base of the triangle.Learn more about Pythagorean formula here:
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convert 6/8 to a decimal and explain how you got the answer
Answers
Answer:
0.65
Step-by-step explanation:
6/8 is the same thing as 3/4, and 3/4 is equal to 0.75
Hope this helps :D
An element with a mass of 800 g to Cave by 28% per minute. To the nearest minute how long will it take until they were 140 g of the element remaining?
Answers
After n minutes the amount remaining = original mass x (1 - 0.28)^n
800 x 0.72^n = 140
0.72^n = 140/800 = 0.175
n = log(0.175)/log(0.72) = 5.305
To the nearest minute it takes 5 mins until there is only 140 g remaining.
The weight remaining follows this sequence: 800, 576, 414.7, 298.6, 215, 154.8, 111.5
so the closest weight to 140 is after 5 minutes
PLEASE HELP ASAP ITS DUE IN AN HOUR
Answers
Answer:
\(3^2-5\)
Step-by-step explanation:
Given equation:
( 3 - 2^2) + 5
3 - 4 + 5 (Simplify exponent)
-1 + 5 (Solve 3 - 4)
4 (Simplified)
Evaluation
2^2 + 5
4 + 5
9 (not the answer)
3^2 - 5
9-5
4 (answer)
Suppose that the function h is defined, for all real numbers, as follows.
h(x) = (x+1)²
{
if x ≤-2
if-2
-x-2 ifx>2
h(-2) = 0
h(-1) = 0
h (3) = 0
Find h(-2), h(-1), and h (3).
0/0
믐
X
3
please help 15 points to whoever does
Answers
In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.
what is function ?The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
h(x) = (x+1)²
h(-2) = 1
h(-1) = 0
h(3) = 8
In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.
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Which of the following best describes the lines y-3x=4x and 6-2y=8x
○perpendicular
○parallel
○skew
○intersecting
Answers
Answer:
Intersecting (fourth answer choice)
Step-by-step explanation:
If the lines are perpendicular, parallel, or intersecting, they are not skew. Thus, we need to check if the lines can be classified as either perpendicular, parallel, or intersecting first. If the lines are classified as neither, then they are skew.First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where
m is the slope,and b is the y-intercept.Converting y - 3x = 4x to slope-intercept form:
(y - 3x = 4x) + 3x
y = 7x
Thus, the slope of this line is 7 and the y-intercept is 0.
Converting 6 - 2y = 8x to slope-intercept form:
(6 - 2y = 8x) - 6
(-2y = 8x - 6) / -2
y = -4x + 3
Thus, the slope of this line is -4 and the y-intercept is 3.
Checking if y = 7x and y = -4x + 3 are perpendicular lines:
The slopes of perpendicular lines are negative reciprocals of each other.We can show this in the following formula:
m2 = -1 / m1, where
m1 is the slope of one line,and m2 is the slope of the other line.Thus, we only have to plug in one of the slopes for m1. Let's do -4.
m2 = -1 / -4
m2 = 1/4
Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.
Checking if y = 7x and y = -4x + 3 are parallel lines:
The slopes of parallel lines are equal to each other.
Because 7 and -4 are not equal, the two lines are not parallel.
Checking if the lines intersect:
The intersection point of two lines have the same x and y coordinate. To determine if the two lines intersect, we treat them like a system of equations.Method to solve the system: Elimination:
We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:
add the two equations, eliminate the ys, and solve for x:-1 (y = 7x)
-y = -7x
----------------------------------------------------------------------------------------------------------
-y = -7x
+
y = -4x + 3
----------------------------------------------------------------------------------------------------------
(0 = -11x + 3) - 3
(-3 = -11x) / 11
3/11 = x
Now we can plug in 3/11 for x in y = 7x to find y:
y = 7(3/11)
y = 21/11
Thus, x = 3/11 and y = 21/11
We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3. If we get the same answer on both sides of the equation for both equations, the lines intersect:
Checking solutions (x = 3/11 and y = 21/11) for y = 7x:
21/11 = 7(3/11)
21/11 = 21/11
Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:
21/11 = -4(3/11) + 3
21/11 = -12/11 + (3 * 11/11)
21/11 = -12/11 + 33/11
21/11 = 21/11
Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).
This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.
Need help to answer question
Answers
Answer:
Step-by-step explanation:
If 15% of the customers total is $98,880, then the sum total equals what
Answers
The sum total by the given data is equals to $658,880.
We are given that;
Percent=15%
Amount= $98,880
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:
15% = 0.15
To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:
$98,880 / 0.15 = $98,880 x 1/0.15
To multiply by 100, we can move the decimal point two places to the right. This gives us:
$98,880 x 1/0.15 x 100 = $658,880
Therefore, by the percentage the answer will be $658,880.
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In a survey at a shoe store, 200 customers were asked whether they have
running shoes or basketball shoes. The results are in the relative frequency
table.
Total
Have running shoes
0.23
Have basketball shoes
No basketball shoes
Total
No running shoes
0.31
0.32
0.14
What percentage of the people surveyed have basketball shoes?
A. 37%
B. 54%
O C. 46%
O D. 63%
Answers
Based on the plot, approximately how many practice puzzles
per week do members solve if they finish the contest puzzle
in one hour?
a 6
b 10
c 4
d 2
Answers
Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle
in one hour is c 4
How to explain the scatterplotThe line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.
If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.
The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.
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Pls help ASAP will give extra Brainlist
Write an algebraic expression for each situation or problem. 1. You bought x CD’s online and y CD’s from a store. How many total CDs did you buy? 2. You want to evenly divide 15 tickets between p people. How many tickets will each person receive?
Answers
David and Ken took part in a cycling race. Both of them did not change their speed throughout the race. David completed the race in 5 hours while Ken took 7 hours. Ken's average speed was 9.8 km/h less than David's average speed.
A) What was David average speed
B)What was the distance of the cycling race?
Answers
Let's assume David's average speed is S km/h.
A) To find David's average speed, we can use the formula: Speed = Distance / Time.
David completed the race in 5 hours, so his speed is S km/h. Therefore, we have:
S = Distance / 5
B) Ken's average speed is 9.8 km/h less than David's average speed, which means Ken's average speed is (S - 9.8) km/h.
Ken took 7 hours to complete the race, so we have:
S - 9.8 = Distance / 7
Now, we can solve the system of equations to find the values of S and Distance.
From equation (1): S = Distance / 5
Substitute this into equation (2):
Distance / 5 - 9.8 = Distance / 7
Multiply both sides of the equation by 35 to eliminate the denominators:
7 * Distance - 35 * 9.8 = 5 * Distance
7 * Distance - 343 = 5 * Distance
Subtract 5 * Distance from both sides:
2 * Distance - 343 = 0
Add 343 to both sides:
2 * Distance = 343
Divide both sides by 2:
Distance = 343 / 2 = 171.5 km
Therefore, the distance of the cycling race is 171.5 kilometers.
To find David's average speed, substitute the distance into equation (1):
S = Distance / 5 = 171.5 / 5 = 34.3 km/h
So, David's average speed was 34.3 km/h.\(\)
Answer:
A) 34.3 km/h
B) 171.5 km
Step-by-step explanation:
Since Ken's average speed is said to be 9.8km/h less than David's average speed, and we know that Ken's average speed is dependent on him traveling for 7 hours, then we have our equation to get the distance of the cycling race:
\(\text{Ken's Avg. Speed}=\text{David's Avg. Speed}\,-\,9.8\\\\\frac{\text{Distance}}{7}=\frac{\text{Distance}}{5}-9.8\\\\\frac{5(\text{Distance})}{7}=\text{Distance}-49\\\\5(\text{Distance})=7(\text{Distance})-343\\\\-2(\text{Distance})=-343\\\\\text{Distance}=171.5\text{ km}\)
This distance for the cycling race can now be used to determine David's average speed:
\(\text{David's Avg. Speed}=\frac{\text{Distance}}{5}=\frac{171.5}{5}=34.3\text{ km/h}\)
Therefore, David's average speed was 34.3 km/h and the distance of the cycling race was 171.5 km.
Learning Task 3: Solve the following. Problems. Write your answer in
your notebook
Every Sunday, JB carries water for fish vendors at 22.30 per pan. How
many pails of water did he carry if he earned 382.50 on a Sunday?
2. Rey has 21.25 kes of coffee. He wants to put 0.25 kg of coffee per bag,
How many bags does he need?
Geen has 4 times as much money as her sister. If Gwen has P 604.80.
how much money does her sister have?
4. 4. Joy is planning to buy a new cellphone worth P 14 552.75. She tries
to save P 582.11 a week from her allowance. How many weeks will it
take her to save the amount enough to buy the cellphone?
5. Yesterday, Sallie took a trip to visit some family. She covered a total of
135.75 miles without making any stops along the way, and it took her
exactly 1.25 hours to arrive at her destination. At what average speed
did she arrive?
Answers
12.065 rounded to the nearest hundredth
Answers
two poles are 80 meters and 60 meters tall. Their bases are located at a distance of 90 meters. A grounding wire needs to connect the top of the poles with each other and the ground. At what point should we connect the wire with the ground if we wanted to use the least amount of wire?
Answers
It needs to do that route I guess. But I don't understand the last question well.
PLEASE HELP ME WITH THIS ASAP!
Answers
The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total numberof bento boxes in the container.
How to determine the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be determined by using the following formula:
Volume of a rectangular prism = LWH
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.Part a.
Hence, the manager can use the following formula to find the volume of the container;
Volume of container = LWH
Volume of container = 7/2 × 3/2 × 3/2
Volume of container = 63/8 cm³.
Part b.
For the number of bento boxes that can fill the container, we have:
Number of bento boxes = Volume of container/Volume of bento boxes
Number of bento boxes = 63/8/(1/2)³
Number of bento boxes = 63/8/1/8
Number of bento boxes = 63/8 × 8
Number of bento boxes = 63 bento boxes = 3 layers × 21.
Part c.
Volume of container = Volume of bento boxes
63/8 cm³ = 63 × 1/8 cm³
63/8 cm³ = 63/8 cm³ (equal).
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30gallons 3quarts 1pint x 5
Answers
Answer:
Step-by-step explanation:
1 taza = 8 onzas líquidas = 240 mililitros. 1 pinta = 2 tazas = 16 onzas líquidas = 480 mililitros. 1 cuarto (qt) = 4 tazas = 2 pintas = 32 onzas líquidas = 950 mililitros. 1 galón = 4 cuartos = 128 onzas líquidas = 3.8 litros (L)
1 q t0.95 L2 qt1.89 L3 qt2.84 L4 qt3.79 L
Find an equation of the ellipse that has center (1.-4), a major axis of length 12, and endpoint of minor axis (4.-4)
Answers
Solution:
Given:
Ellipse with the following properties;
\(\begin{gathered} \text{centre}=(1,-4) \\ \text{length of major axis= 12} \\ \text{End point of minor axis = (4,-4)} \end{gathered}\)The equation of an ellipse is given by;
\(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)where,
\(\begin{gathered} (h,k)\text{ is the centre} \\ (h,k)=(1,-4) \\ h=1 \\ k=-4 \end{gathered}\)Substituting these values into the equation of an ellipse,
\(\begin{gathered} \frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1 \\ \frac{(x-1)^2}{a^2}+\frac{(y-(-4))^2}{b^2}=1 \\ \frac{(x-1)^2}{a^2}+\frac{(y+4)^2}{b^2}=1 \end{gathered}\)The length of the semi-minor axis (a) is the difference between the x-values of the centre and the endpoint of the minor axis.
Hence,
\(\begin{gathered} a=4-1 \\ a=3 \\ a^2=3^2 \\ a^2=9 \end{gathered}\)To get the length of the semi-major axis (b),
\(\begin{gathered} \text{length of the major axis=2b} \\ 12=2b \\ b=\frac{12}{2} \\ b=6 \\ b^2=6^2 \\ b^2=36 \end{gathered}\)Substituting these into the equation of the ellipse,
\(\begin{gathered} \frac{(x-1)^2}{a^2}+\frac{(y+4)^2}{b^2}=1 \\ \frac{(x-1)^2}{9^{}}+\frac{(y+4)^2}{36^{}}=1 \end{gathered}\)Therefore, the equation of the ellipse is;
\(\frac{(x-1)^2}{9^{}}+\frac{(y+4)^2}{36^{}}=1\)
Factorise
48x^3-27x
Answers
The question is in the picture (:
Answers
Answer:
\( \frac{(x - 2)(x + 2)}{x - 8} \)
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answers
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 9% each year. If this continues, what will Tacoma's population be in 2019?
Answers
The population of Tacoma in 2019 would be 1,028,332.
What will be the population in 2019?The population can be represented with an exponential equation that has the form:
FV = P (1 + r)^n
FV = Future populationP = Present population R = rate of growth N = number of years200,000 (1.09)^19 = 1,028,332.
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Evaluate and simplify the expression when x=14 and y=1/3
2x/13-9y=?/?
Answers
28/13 rounds off to 2.15.
9 * 1/3 is 3.
2.15 - 3 = -0.85
Or -17/20.
Answer:
Step-by-step explanation:
It’s 14/5 lol
Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?
Answers
Gianna is 90 miles far away in 3 hours of driving.
She drove in total of 180 minutes.
What is speed?The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Given,
Gianna drives 5 miles in 10 minutes
Speed per minute = 5/10 = 0.5 miles/minute
Gianna drove in total for 3 hours
1 hour = 60 minutes
3 hours = 60 × 3 = 180 minutes
Distance Gianna drove in 180 minutes = speed per minute × time
= 0.5 × 180
= 90 miles
Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.
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Consider a recent interaction you have had with a co-worker or item that you saw in the media that might have included logical errors.
Share the example as well as the logical errors that are present in the example.
Discuss some common applications of logic
Answers
Logical error example can be people without reasoning out thoughts supporting people who promised them their betterment.
What is Logical Error/Fallacies?
Common thinking flaws called fallacies will impeach the logic of your argument. Fallacies can be irrelevant or invalid arguments, and they are frequently recognised since they don't have any supporting data.
Basic Logic - knowing the study of current reasoning is basic logic.
Logic pertains to all subjects, since people can reason about anything they can think about politics, the art , Literature, business, the sciences and every day problems are all subject open to reasoning.
Few times ago , I was in a political party rally. I observed that one think clever politician knows very well how to manipulate public opinion , contestant addressing and promising about that is not in even going to possible but many of them endorse strong convictions , that whatever he told is going to be true , people don't even think for reason with the promises that he did.
Legislative assembly member's contestant told in his addressing that we promises to all of you we will provide free petrol, diesel, free rice and now he is in the member of legislative assembly, but no promises are fulfilled. How people can't even reason their thought .
Therefore, this is an example of logical error.
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-|8-15| what is the answer
Answers
Answer:
-7
Step-by-step explanation:
8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.
ariana's 150g bag of trail mix is x% raisins. brandon's 250g bag of trail mix is y% raisins. they combine the two mixes together in one bowl. *write an expression that shows the concentration of raisins in the resulting mix.
Answers
Answer:
(3x+5y)/8
Step-by-step explanation:
The total amount is 150+250=400
We then do (3x+5y)/2 × 1/400
This equals (3x+5y)/800
We multiply that by 100 giving us the final answer.
The expression that shows the concentration of raisins in the resulting mix is 600x+1000y
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, Ariana's 150g bag of trail mix is x% raisins. Brandon's 250g bag of trail mix is y% raisins. they combine the two mixes together in one bowl.
Raisins Ariana have = x% of 150
= 3x/2
Raisins Brandon have = y% of 250
= 5y/2
Total mix = 250 + 150
= 400 grams
Concentration of Raisins in the total mix = (3x/2 + 5y/2) of 400
= 600x+1000y
Hence, the expression that shows the concentration of raisins in the resulting mix is 600x+1000y
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. Kemone bought 3 pounds of hamburger for $2.56 per pound and a box of cereal for $3.95. How can you calculate how much she spent? *
Answers
Answer:
Step-by-step explanation:
you multiply 2.56 by 3 and add 3.95 an equation would look like y=(3×2.56)+3.95