Answer:
Step-by-step explanation:
From the information given:
Let assume that the drone first delivery went to a certain place U, 7.10miles from the warehouse in the S 25.0° W direction.
However, the drone thus proceeds to the second delivery place V which is 11.2 miles in the S 38.0° W direction.
Then, location U can be determined from a graphical point of view as follows:
In the negative x-direction from the warehouse
[tex]U_x = 7.1 \times cos 25^0[/tex]
[tex]U_x = 7.1 \times 0.9063[/tex]
[tex]U_x = 6.44 \ miles[/tex]
In the negative y-direction from the warehouse
[tex]U_y =7.1 \times sin 25 ^0[/tex]
[tex]U_y =7.1 \times 0.4226[/tex]
[tex]U_y = 3.00 \ miles[/tex]
Also: the position of V with respect to U can be determined as follows:
in the positive x-direction from the warehouse
[tex]V_{UX} = UV \ cos 38[/tex]
[tex]V_{UX} = 8.83 \ miles[/tex]
In the negative y-direction from the warehouse:
[tex]V_{UY} = UV \ sin 38[/tex]
[tex]V_{UY} = 6.89 \ miles[/tex]
Similarly, we will need to determine the position of V with respect to the warehouse.
i.e.
In the positive x-direction the warehouse
[tex]V_x = U_x +V_{UX}[/tex]
[tex]V_x =[/tex] -6.44 + 8.83 ( since [tex]U_X[/tex] is in the negative direction)
[tex]V_x =[/tex] 2.39 miles
In the positive y-direction the warehouse
[tex]V_Y = U_Y + V_{UY}[/tex]
[tex]V_Y = -3.00 + (-6.89)[/tex] ( since both [tex]U_Y \ and \ V_{AY}[/tex] are in the negative direction)
[tex]V_Y =[/tex] -9.89 miles
Therefore, from above, the distance emanating how far is the drone back to the starting point is :
[tex]D = \sqrt{V_X^2+V^2_Y}[/tex]
[tex]D = \sqrt{(2.39)^2+(-9.89)^2}[/tex]
[tex]D = \sqrt{5.7121+97.8121}[/tex]
D = 10.18 miles
The direction of the drone can be deduced by taking the tangent of the trigonometry;
i.e.
[tex]tan \ \theta = ${\dfrac{opposite \ direction}{adjacent \ direction}}[/tex]
[tex]tan \ \theta = ${\dfrac{9.89}{ 2.39}}[/tex]
[tex]tan \ \theta =4.138[/tex]
[tex]\theta = \tan^{-1}(4.138)[/tex]
[tex]\theta = 76.41^0[/tex] in the north_west direction of V
what 22.5240 rounded to the nearest thousandth
Which of the following is equivalent to
-
Answer: 8
Step-by-step explanation:
Madison worked her 40 regular hours last week plus 12 overtime hours at the time and a half rate. Her gross pay was $842.00. What was her hourly rate? Round to nearest cent, if needed.
she has $13.80 every hour because 842 divided by 40 plus 12 equals 61 so then and you cant round anymore.
rick and tina hiked at different constant rates. rick hiked 1/2 mile every 15 minutes or 1/4 hour. It took Tina 10 minutes to hike 1/4 mile. Find the distance each hiked in 1 hour.
Answer:
Rick: 2 miles
Tina: 1,5
Step-by-step explanation:
60mn=1h
reck: 1/2x60÷15=2
tina: 1/4x60÷10=1,5
The distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
Rick hiked 1/2 mile every 15 minutes or 1/4 hour.
Tina 10 minutes to hike 1/4 mile.
We have to find the distance each hiked in 1 hour.
According to given question we have
Rick:
1/2 miles= 15 minutes or 1/4 hour
1 miles= 1/4*2=2 hour
2 hour =1 miles
1 hour=1/2 miles
Tina:
1/4 miles = 10 minutes or 10/60=1/6 hour
1 miles= =1/6*4=2/3 hour
2/3 hour=1 miles
1 hour = 1*3/2=3/2 miles
Therefore, the distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.
Learn more details about distance here:
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If
[tex]x - y = 12[/tex]
[tex] \sqrt{xy } = 3[/tex]
find the valve of
[tex] {x }^{2} + {y}^{2} [/tex]
Answer:
Given :
→x-y=12
→xy= 3²
=9
Equation formed:
[tex] {(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy[/tex]
Step by step explanation:
[tex] {(12)}^{2} = {x}^{2} + {y}^{2} - 2 \times 9 \\ 144 + 18 = {x}^{2} + {y}^{2} \\ = 162[/tex]
hope it helped you:)
The sum of two consecutive whole numbers
is 35. What are the two numbers?
Answer:
1st number = 17
2nd number = 18
Step-by-step explanation:
Unknown number = x
Since they are consecutive numbers, we add 1 to each other.
=> x + x + 1 = 35
=> 2x + 1 = 35
=> 2x + 1 - 1 = 35 - 1
=> 2x = 34
=> 2x/2 = 34/2
=> x = 17
So, the first number = x = 17
=> Second number = x + 1 = 17 + 1 = 18
1st number = 17
2nd number = 18
Evaluate each function.
g(n) = 3n + 3; Find g(-3)
Answer:
g(-3) = - 6Step-by-step explanation:
g(n) = 3n + 3
To find g(-3) , substitute the value of n that's - 3 into g(n). That is for every n in g(n) replace it with - 3
We have
g(-3) = 3(-3) + 3
= - 9 + 3
We have the final answer as
g(-3) = - 6Hope this helps you
solve x - 6.3 = 4.1 for x
Answer:
10.4
Step-by-step explanation:
add 6.3 on bothsides to get x=10.4
Find the area and the circumference of a circle with diameter 4 yd.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
C≈12.57 yd
A≈12.57 yd²
I’m not sure if my answer correct. If you can please help me.
Answer:
i think it correct
Step-by-step explanation:
Answer:
The answer is
[tex] - \frac{13}{15} \\ [/tex]
Step-by-step explanation:
[tex] \frac{7z - 12}{6 {z}^{2} - 3z } \\ [/tex]
z = - 2
Substitute the value of z that's - 2 into the above expression
We have
[tex] \frac{7( - 2) - 12}{6 ({ - 2})^{2} - 3( - 2) } = \frac{ - 14 - 12}{6(4) + 6} \\ = \frac{ - 26}{24 + 6} = - \frac{26}{30} [/tex]
Reduce the fraction with 2
We have the final answer as
[tex] - \frac{13}{15} \\ [/tex]
Hope this helps you
Simplify the quotient show the work 5 divided by nine
1.8 that is the best answer
Answer:
0.56
Step-by-step explanation:
A quotient is a quantity produced by the division of two numbers.
5 / 9 = 0.555555556
0.555555556 = 0.56
Reconsider the system defect situation described in Exercise 26 (Section 2.2). a. Given that the system has a type 1 defect, what is the probability that it has a type 2 defect? b. Given that the system has a type 1 defect, what is the probability that it has all three types of defects? c. Given that the system has at least one type of defect, what is the probability that it has exactly one type of defect? d. Given that the system has both of the first two types of defects, what is the probability that it does not have the third type of defect?
Answer:
hello exercise 26 is missing attached below is exercise 26
answer: a) 0.5 (b) 0.833 (c) 0.357 (d) 0.833
Step-by-step explanation:
A1... A3 = represents defects in system 1 to 3
A' 1 ---- A'3 = represents no defects in systems 1 to 3
P( A1 ∩ A2 ) = 0.06 ( as calculated )
P ( A1 ∩ A3 ) = 0.03 ( as calculated )
P ( A2 ∩ A3 ) = 0.02 ( as calculated )
a) Probability of having a type 2 defect
The probability of A given system having both Type 2 defect given that it has a type 1 defect is considered conditional probability
= p ( A2 | A 1 ) = [tex]\frac{P(A1 n A2)}{P(A1)}[/tex]
= [tex]\frac{0.06}{0.12}[/tex] = 0.5
B) Probability of having all three defects given that it has type 1 defect
= P ( A1 ∩ A2 ∩ A3 | A1 ) = [tex]\frac{P( A1 n A2 n A3 )}{P(A1)}[/tex]
= [tex]\frac{0.01}{0.12}[/tex] = 0.0833 ≈ 0.8
C) probability of having exactly one type of defect given that it has atleast one type of defect
= P ( exactly one Ai | at least one Ai ) = 0.357
attached below is the detailed solution
D) probability of not having the third defect given that it has the first two types of defects
= P ( A'3 | A1 ∩ A2 ) = 0.833
attached below is the detailed solution
The system situation
As per the question, the system defect situation describes the exercise given in section 2.2 which shows the system has a probability of type 1 defect. The type 2 of defect is given in the system of type 1 and the chances of probability that it all has three types of defects.
The answer is 0.5, 0.83 and 035, and 0.83.
As per the exercise, the defects that can be measured froth type of system that is five on the defects and from the system of type 1 defects.The chances of the chances is 0.5 and the given system of the type defects has the probability of 0.5 with The third type of defect or the least one type is 0.357. Both of the first types of defects has a probability of 0.833.Learn more about the system defect situation.
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True or False: The distance between 19 and –15 on a number line is 4
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
I hope this helps was wondering if I could have brainliest
The surface area of the above figure is?
Answer:
The surface area is 125.66 [tex]cm^2[/tex]
Hope this helps!
Simplify the following. Is the constant term in the numerator or denominator?
Answer:
Numerator.
Step-by-step explanation:
(2a¯⁵b²/ab³)¯³
To know if the constant term will be in the numerator or denominator, let us simplify the expression. This can be obtained as follow:
(2a¯⁵b²/ab³)¯³
Recall
m¯ⁿ = 1/mⁿ
Therefore,
(2a¯⁵b²/ab³)¯³ = 1/(2a¯⁵b²/ab³)³
= 1 ÷ (2a¯⁵b²/ab³)³
= 1 × (ab³ / 2a¯⁵b²)³
= (ab³ / 2a¯⁵b²)³
Recall
(mⁿ)ˣ = mⁿˣ
Therefore,
(ab³ / 2a¯⁵b²)³ = a³b⁹ / 2³a¯¹⁵b⁶
Recall
x^m ÷ x^n = x^(m–n)
Therefore,
a³b⁹ / 2³a¯¹⁵b⁶ = a^(3 - - 15)b^(9-6)/2³
= a^(3 +15) b^(9-6)/2³
= a¹⁸b³/2³
Thus,
(2a¯⁵b²/ab³)¯³ = a¹⁸b³/2³
From the above illustration, we can see that the constant term (i.e 'a' and 'b') are in the numerator.
How do I divide this and put it in the box I’m confused on this lesson and the teacher dose not explain it right
Step-by-step explanation:
You've got a good start.
The numerator is an order 3 polynomial, and the denominator is an order 1 polynomial. So the result will be an order 2 polynomial, so there will be 3 terms, plus a possible remainder.
There are 2 terms in the denominator.
So draw a grid 4 boxes wide and 2 boxes tall.
Write each term in the denominator (2x and -3) down the right side.
Write each term in the numerator (2x³, x², -16x, and 15) starting at the left side and continuing along the bottom.
Boxes diagonal of each other must add up to the numerator term. For example, the top left box is the only box in that diagonal, so that must be equal to 2x³.
Each box is the product of the term in the top row and the term in the right column. So if the first box is 2x³, and the term at the right is 2x, then the term at the top is x².
x² · 2x = 2x³
And if the term at the top is x², and the term at the lower right is -3, then the term in the bottom left box is -3x².
x² · -3 = -3x²
And since the boxes in that diagonal add up to x², the other box must be 4x².
-3x² + 4x² = x²
Continue this pattern until all boxes are filled.
For questions 5 - 6, write the polynomial in descending order.
5. 3x3 - 2x5 - 25x+12x +6
6. X+9x12 - 4x +2+3x2 - 44X8
If m<9=97° and m<12=114°, find each measure. I have to show my work.
Answer/Step-by-step explanation:
Given:
m<9 = 97°
m<12 = 114°
a. m<1 = m<9 (both angles are corresponding angles. Corresponding angles are congruent)
m<1 = 97° (substitution)
b. m<2 + m<1 = 180° (linear pair)
m<2 + 97° = 180° (substitution)
m<2 = 180 - 97 (subtracting 97 from both sides)
m<2 = 83°
c. m<3 = m<11 (corresponding angles)
m<11 + m<12 = 180° (linear pair)
m<11 + 114° = 180° (substitution)
m<11 = 180 - 114
m<11 = 66°
m<3 = m<11 = 66°
d. m<4 + m<3 = 180° (linear pair)
m<4 + 66° = 180° (substitution)
m<4 = 180 - 66
m<4 = 114°
e. m<5 = m<2 (vertical angles are congruent)
m<5 = 83° (substitution)
f. m<6 = m<1 (vertical angles are congruent)
m<6 = 97° (substitution)
g. m<7 = m<4 (vertical angles are congruent)
m<7 = 114° (substitution)
h. m<8 = m<3 (vertical angles are congruent)
m<8 = 66° (substitution)
i. m<10 = m<2 (corresponding angles are congruent)
m<10 = 83° (substitution)
j. m<11 = m<3 (vertical angles are congruent)
m<11 = 66° (substitution)
k. m<13 = m<5 (corresponding angles)
m<13 = 83° (substitution)
l. m<14 = m<9 (vertical angles)
m<14 = 97° (substitution)
m. m<15 = m<12 (vertical angles)
m<15 = 114° (substitution)
n. m<16 = m<11 (vertical angles)
m<16 = 66° (substitution)
Find the perimeter of 54cm square rounding to the nearest tenth
Answer:
The perimeter of the square shape is 216cmStep-by-step explanation:
This problem is on the mensuration of flat shapes, a square.
we are given in this example that the side of the square is 54cm
now we know that the perimeter of a square is expressed as the summation of all its sides.
that is
perimeter = l+l+l+l
perimeter= 4l
substituting the value of l into the expression we have
perimeter= 4*54
perimeter= 216cm
From the analysis, the perimeter of the square shape was found to be 216cm
Write an expression to model the following phrase: "an hourly wage of $16.75 plus a $50 bonus." Use x for the variable.
Answer:
(16.75x) + 50
Step-by-step explanation:
what is inaccurate value
Answer:you measured the amount of rainfall incorrectly, your data about the climate would be inaccurate. Accuracy means being very precise and getting the information right. When something is inaccurate, it is the opposite of exact.
Step-by-step explanation:yw
A part time contractor at a manufacturing facility earns $11.00 per hour. He worked 4 1/2 hours on Tuesday , 3 1/4 on Wednesday and 7 1/4 on Thursday , and 5 1/4 hours on Friday. How much money did he earn for the week?
Answer:
$225.75
Step-by-step explanation:
Add up all of the hours he worked on those 4 days:
4.5 + 3.25 + 7.25 + 5.25
= 20.25
Then, multiply this by 11 to find his pay for the week:
20.25(11)
= 222.75
So, he earned $225.75 for the week
A shirt you wanted to buy originally cost $44. The store is now having a sale and
offering a discount of 25% off all merchandise.
Answer:
$33
Step-by-step explanation:
44 x 0.25 = 11
44 - 11 = 33
find the value of x.
Answer:
x = 8
Step-by-step explanation:
Answer:
so it would be 90 degrees + 40 degrees = 130
We still need 50 more + 2
48/6 = 8
x = 8 because 48+2 = 50 or 6x + 2
Step-by-step explanation:
AM
Consider the U.S. Electoral College System. For each of the 50 states, determine the number of delegates received.
Create a frequency table with 8 classes. Is this distribution uniform, skewed, or bell-shaped?
Based on the outcome, is the U.S. Electoral College System is a good system? why? why not?
Answer:
gaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Step-by-step explanation:
y= x2 – 3, P(2,1) find the slope of the curve at point p and a equation of the tangent.
If y = x² - 3, then the slope of the tangent line at the point (2, 1) is equal to the value of dy/dx when x = 2. We have
y = x² - 3 ==> dy/dx = 2x
so when x = 2, the slope of the tangent is 4.
This tangent passes through the point (2, 1) on the curve, so it has equation
y - 1 = 4(x - 2)
==> y = 4x - 7
Can someone help me?
Answer:
B
Step-by-step explanation:
The answer is B because if you move two times to the right it gives you 0.09 like the eqution.
But scientific notation requires number without decimal, so the answer cannot be E because 0.9 is a decimal.
Just reminder: B and D have the same result!! just different coefficient
Step-by-step explanation:
The answer is B) 9 x 10^ -2
Please help !!! I’ll mark you as brainliest if correct!
How do you do this question?
Answer:
True
Step-by-step explanation:
∫₀°° f(x) dx = ∫₀¹ f(x) dx + ∫₁°° f(x) dx
We know that ∫₁°° f(x) dx converges, and we know that f(x) is continuous on [0, 1], inclusive. Therefore, ∫₀¹ f(x) dx converges, so ∫₀°° f(x) dx converges.
Help i need 5 more brain lists ill help you with anything
