Answers
Answer: 4.3 mi
Step-by-step explanation:
From Oxford, getting to Kingswood takes 7.5mi, and getting to Norwood takes 11.8mi. Thus, simply do 11.8-7.5 to get 4.3mi.
Hope it helps <3
Related Questions
For questions 13-15, Let Z1=2(cos(pi/5)+i Sin(pi/5)) And Z2=8(cos(7pi/6)+i Sin(7pi/6)). Calculate The Following Keeping Your Answer In Polar Form. 13. z1z2 14. z2 15. z1/z2
Answers
Answer:
Step-by-step explanation:
Given the following complex values Z₁=2(cos(π/5)+i Sin(πi/5)) And Z₂=8(cos(7π/6)+i Sin(7π/6)). We are to calculate the following complex numbers;
a) Z₁Z₂ = 2(cos(π/5)+i Sin(πi/5)) * 8(cos(7π/6)+i Sin(7π/6))
Z₁Z₂ = 18 {(cos(π/5)+i Sin(π/5))*(cos(7π/6)+i Sin(7π/6)) }
Z₁Z₂ = 18{cos(π/5)cos(7π/6) + icos(π/5)sin(7π/6)+i Sin(π/5)cos(7π/6)+i²Sin(π/5)Sin(7π/6)) }
since i² = -1
Z₁Z₂ = 18{cos(π/5)cos(7π/6) + icos(π/5)sin(7π/6)+i Sin(π/5)cos(7π/6)-Sin(π/5)Sin(7π/6)) }
Z₁Z₂ = 18{cos(π/5)cos(7π/6) -Sin(π/5)Sin(7π/6) + i(cos(π/5)sin(7π/6)+ Sin(π/5)cos(7π/6)) }
From trigonometry identity, cos(A+B) = cosAcosB - sinAsinB and sin(A+B) = sinAcosB + cosAsinB
The equation becomes
= 18{cos(π/5+7π/6) + isin(π/5+7π/6)) }
= 18{cos((6π+35π)/30) + isin(6π+35π)/30)) }
= 18{cos((41π)/30) + isin(41π)/30)) }
b) z2 value has already been given in polar form and it is equivalent to 8(cos(7pi/6)+i Sin(7pi/6))
c) for z1/z2 = 2(cos(pi/5)+i Sin(pi/5))/8(cos(7pi/6)+i Sin(7pi/6))
let A = pi/5 and B = 7pi/6
z1/z2 = 2(cos(A)+i Sin(A))/8(cos(B)+i Sin(B))
On rationalizing we will have;
= 2(cos(A)+i Sin(A))/8(cos(B)+i Sin(B)) * 8(cos(B)-i Sin(B))/8(cos(B)-i Sin(B))
= 16{cosAcosB-icosAsinB+isinAcosB-sinAsinB}/64{cos²B+sin²B}
= 16{cosAcosB-sinAsinB-i(cosAsinB-sinAcosB)}/64{cos²B+sin²B}
From trigonometry identity; cos²B+sin²B = 1
= 16{cos(A+ B)-i(sin(A+B)}/64
= 16{cos(pi/5+ 7pi/6)-i(sin(pi/5+7pi/6)}/64
= 16{ (cos 41π/30)-isin(41π/30)}/64
Z1/Z2 = (cos 41π/30)-isin(41π/30)/4
Answer:
13. 16(cos(41 π/30)+ isin(41 π/30))
14. Mine asked for z2 magnitude so I got 8 (magnitude is the same as modulus which is r)
15. 1/8 (cos(29 π/30)+ isin(29 π/30))
Step-by-step explanation:
13. Since we’re multiplying z1, and z2, use De Moivre’s theorem by multiplying the r values (2 and 8) and adding the theta values (π/5 and 7π/6). Adding the angle values should lead you to have 41 π/30, and the rest is self-explanatory.
14. Explanation is in the answer, just take the r value from z2 for magnitude (at least that’s what’s on my practice assignment)
15. Use De Moivre’s theorem again, this time with division, so you will divide the r values (2 divided by 8) and subtract the theta values (π/5 minus 7π/6). 2/8 simplifies to 1/8 and when subtracting with 6π/30 - 35π/30 (finding common denominators) you should get 29π/30.
You are flying a kite on a line that is 350 feet long. Let's suppose the line is perfectly straight (it never really is) and it makes an angle of 65 degrees with the horizontal direction. The kite is flying at an altitude of feet.
Answers
Answer:
We can think that the line of the kite is the hypotenuse of a triangle rectangle, and the altitude is one of the cathetus of the triangle.
And we know that it makes an angle of 65° with the horizontal (i guess this is measured between the hypotenuse and the horizontal adjacent to the kite.
This angle is complementary to the top angle of our triangle rectangle, such that A + 65° = 90°
A = 90° - 65° = 25°
Then the altitude of the kite is the adjacent cathetus to this angle.
We can use the relation:
sin(A) = Adjacent cathetus/hypotenuse.
Sin(25°) = X/350ft
Sin(25°)*350ft = X = 147.9m
The kite is flying at an altitude of approximately 317.20 feet.
The situation will form a right angle triangle.
The hypotenuse of the triangle is the will be the line of the kite which is 350 ft long.
The line makes an angle of 65° with the horizontal direction. The horizontal direction is the adjacent of the triangle formed.
Using trigonometric ratio, the altitude of the kite can be found below.
The altitude of the kite is the height/ opposite side of the triangle.
Therefore,
sin 65° = opposite / hypotenuse
sin 65° = opposite / 350
cross multiply
opposite = 350 × sin 65
altitude of the kite = 350 × 0.90630778703
altitude of the kite = 317.207725463
altitude of the kite ≈ 317.20 ft
read more; https://brainly.com/question/13835041?referrer=searchResults
If while playing Blackjack if you receive the 6 of hearts and the 8 of diamonds, what are the odds that you will bust if you hit? (If you receive another card what are the odds that their sum will add to 22 or higher with Aces counting as 1 and royal cards counting as 10?)
Answers
Answer:
Winning odd = 3.4
Loosing odd = 4.3.
Step-by-step explanation:
So, from this particular Question or problem we have the following data or information or parameters which is going to aid or help us in solving this particular Question;
=> Given 6 of hearts and the 8 of diamonds.
We know that there are 8 types of cards.
Also, we know that the total number of the cards is equal to fifty-two(52).
From cards of six(6) to ten(10) a bust will surely occur.
Therefore, 8 × 4 / 52= 32/52 = 0.62.
If an ace is pulled, then the chance of winning bis surely 4 out of 52 deck of cards.
Giving you a Winning odd = 3.4 and a
Loosing odd = 4.3.
Find the equation of the line: parallel to 3x−y=11 through (−2, 0).
Answers
Answer:
[tex]\huge\boxed{y=3x+6\to 3x-y=-6}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ ||\ l\iff m_1=m_2\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\===========================[/tex]
[tex]\text{We have the equation of a line in the standard form:}\ 3x-y=11.\\\text{Convert it to the slope-intercept form:}\ y=mx+b\\\\3x-y=11\qquad\text{subtract}\ 3x\ \text{from both sides}\\-y=-3x+11\qquad\text{change the signs}\\y=3x-11\to \boxed{m_1=3}\\\\\text{Let}\ k:y=3x-11\ \text{and}\ l:y=mx+b.\\\\l\ ||\ k\Rightarrow l:y=3x+b\\\\\text{Substitute the coordinates of the point}\ (-2;\ 0)\ \text{to the equation of}\ l:\\\\0=3(-2)+b\\0=-6+b\qquad\text{add 6 to both sides}\\6=b\to\boxed{b=6}[/tex]
[tex]\text{Finally}\ l:y=3x+6\\\\\text{Convert to the standard form:}\\\\y=3x+6\qquad\text{subtract}\ 3x\ \text{from both sides}\\-3x+y=6\qquad\text{change the signs}\\l:\ 3x-y=-6[/tex]
1.
ai. What is respiration?
ii. Distinguish between self-pollination and cross pollination.
bi. Define force?
ii. State three effect of force.
ci. Define any two types of energy.
Answers
Answer:
Respiration:
1)Energy giving process. (Cell respiration...)
2) The act of inhaling or exhaling.
Self-pollination:
The transmission of pollen grain from anther to stigma which takes place at a single flower.
Cross-pollination:
The transmission of pollen grain from anther to stigma which takes place between two different flowers of the same species.
Force:
Any push or pull exerted by a body.
Contact Force, Magnetic force, Gravitational force
Kinetic energy and Potential energy.
Kinetic energy:
A kind of energy which an object possesses due to its motion.
Potential energy:
A kind of energy which an object possesses due to its height or position.
Hope this helps ;) ❤❤❤
Find the measure of the indicated angle to the nearest degree. Thanks.
Answers
Answer:
θ ≈ 40°
Step-by-step explanation:
Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
In the picture attached,
Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.
tanθ = [tex]\frac{19}{23}[/tex]
θ = [tex]\text{tan}^{-1}(\frac{19}{23})[/tex]
θ = 39.56
θ ≈ 40°
What is 24-(-6) because in confused
Answers
Answer:
30
Step-by-step explanation:
24 - (-6)
Apply rule : -(-a) = a
Negative (-) times a negative (-) is positive (+).
24 + 6
= 30
Answer:
-6 is in parentheses because it is a negative number. this prevents the equation from looking like a too long subtraction sign (24--6); therefore it is written as 24 - (-6).
this simplifies to 24 + 6 = 30
to negatives = a positive
Dion recorded his heart rate as 204 beats in 3 minutes. How many beats does his heart make in 1 minute?
Answers
Answer:
68
Step-by-step explanation:
Answer:
The answer is
68 beatsStep-by-step explanation:
To solve this problem we use ratio and proportion
For 3 minutes his heart rate was 204 beats
So 1 minute will be
[tex] \frac{204 \: beats}{3} \times 1[/tex]
= 68 beatsHope this helps you
What formula could you use to help find the area of the given triangle?
Answers
Answer:
Since it is a right triangle, you can use pythagorean theorem to find the missing side.
Step-by-step explanation:
And then you do area=(1/2)4x the other leg
hi there help me please
Answers
Hello!
Answer:
Choice 1.
Step-by-step explanation:
We can go through each answer choice and examine whether it represents the question:
1) This does not represent the question because 10% of 6 is 0.6. The question is asking to find a number that 6 = 10% of, not finding 10% of 6.
2) Correct because a number multiplied by 10%, or 0.1, should be equal to 6 to answer the question.
3) Correct because 6 is equivalent to 10% of the answer, which is stated in this answer choice.
4) Correct because 6 should be 10% of the answer.
Therefore, the incorrect choice would be Choice 1.
?? help out plssss ill do the thing wtv its called
Answers
Steps to solve:
1 = -4 + 3/8x
~Add 4 to both sides
1 + 4 = -4 + 4 + 3/8x
~Simplify
5 = 3/8x
~Multiply 8/3 to both sides
5 * 8/3 = 3/8x * 8/3
~Simplify
13 1/3 = x
As we look through the answer choices, we can see that none resembles any of the steps I did above but by looking at the answers for each one, the only logical answer is B since it has a final answer of x = 40/3 or 13 1/3.
Best of Luck!
help please winth this will give bralienst
Answers
Answer:
1rst way they give is CORRECT WAY
The rest of the options are the INCORRECT WAY.
Step-by-step explanation:
When you do 620*7 + 6 = 4376 is the answer you get.
When you do the other math - you do not get the same initial value.
Two trains leave New York at the same time heading in opposite directions. Train A travels at 4/5 the speed of train one. After seven hours they are 693 miles apart. What was the speed of train A? Can you pls help me fast
Answers
=============================================
Work Shown:
x = speed of train A
y = speed of train B
"train A travels 4/5 the speed of train B" (I'm assuming "train one" is supposed to read "train B"). So this means x = (4/5)y
distance = rate*time
d = x*7
d = (4/5)y*7 = (28/5)y represents the distance train A travels
d = y*7 = 7y represents the distance train B travels
summing those distances will give us 693
(28/5)y + 7y = 693
5*( (28/5)y + 7y ) = 5*693
28y + 35y = 3465
63y = 3465
y = 3465/63
y = 55
Train B's speed is 55 mph
4/5 of that is (4/5)y = (4/5)*55 = 4*11 = 44 mph
Train A's speed is 44 mph
Alex has built a garden shed in the shape shown.
(A) Alex plans to paint the outside of the shed, including the roof but not the floor. One can of paint can cover 6m^2 . How many cans of paint will Alex need.
(B)If one can of paint costs $25.50, what will the cost be including 13% tax.
Answers
Answer:
A) 22 cans required to paint
B) Including 13% tax, cost of painting = $633.93
Step-by-step explanation:
As we check the figure, we have a composite figure.
Cuboid on the base and a pyramid on the top of it.
To find the area to be painted, we have 4 rectangular faces of cuboid with dimensions 6m [tex]\times[/tex] 3m.
And 4 triangular faces of pyramid with Base = 6m and Height 5m.
So, total area to be painted = 4 rectangular faces + 4 triangular faces
Area of rectangle = Length [tex]\times[/tex] Width = 6 [tex]\times[/tex] 3 = 18 [tex]m^2[/tex]
Area of triangle = [tex]\frac{1}{2}\times Base \times Height =\frac{1}{2}\times 6 \times 5 = 15\ m^{2}[/tex]
Total area to be painted = 4 \times 18 + 4 \times 15 = 72 + 60 = 132 [tex]m^2[/tex]
A) Area painted by 1 can = 6 [tex]m^2[/tex]
Cans required to paint 132 [tex]m^2[/tex] = [tex]\frac{132}{6} = 22\ cans[/tex]
B)
Cost of 1 can = $25.50
Cost of 22 can = $25.50 [tex]\times[/tex] 22 = $561
Including tax of 13% = $561 + $561 [tex]\times \frac{13}{100}[/tex] = $561 + $72.93 = $633.93
So, the answers are:
A) 22 cans required to paint
B) Including 13% tax, cost of painting = $633.93
(08.05 LC)The histogram shows the number of prizes won by different numbers of students at a quiz competition. Which of the following statements is correct regarding the number of students and the number of prizes won? A histogram titled Prizes Won is shown. The horizontal axis is labeled Number of Prizes with bins 0 to 5, 6 to 11, 12 to 17, and 18 to 23. The vertical axis labeled Students with values from 0 to 10 at intervals of 1. The first bin goes to 2, the second goes to 7, the third goes to 4, and the last goes to 10. A) A total of 10 students won all the prizes. B) Four students won 12, 13, 14, 15, 16, or 17 prizes. C) A total of 10 prizes were won by all the students. D) Four prizes were won by 12, 13, 14, 15, 16, or 17 students.
Answers
Answer: B.
Four students won 12, 13, 14, 15, 16, or 17 prizes
Answer:
Four students won 12, 13, 14, 15, 16, or 17 prizes!
Step-by-step explanation:
In 2009 the number of vehicle sales in the United States was 10,002 thousand and in 2013 it was 17,884 thousand.a. [3 pts] Determine the average rate of change (slope) from 2009 to 2013.b.
Answers
Answer:
1970.5 thousand
Step-by-step explanation:
Given
Vehicle sales in 2009 = 10,002 thousand
Vehicle sales in 2013 = 17,884 thousand
Required
Determine the average rate of change;
From the given parameters, it can be seen that the number of vehicles is a function of year
Let x represent the years and y represent the number of vehicles;
Such that;
[tex]x_1 = 2009;\ y_1 = 10,002[/tex]
[tex]x_2 = 2013;\ y_2 = 17,884[/tex]
The rate of change is calculate as follows;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
[tex]m = \frac{10002 - 17884}{2009 - 2013}[/tex]
[tex]m = \frac{-7882}{-4}[/tex]
[tex]m = \frac{-7882}{-4}[/tex]
[tex]m = 1970.5[/tex]
Hence, the average rate of change is 1970.5 thousand
Solve application problems using radical equations. A baseball diamond is a square that is 90 feet on each side. What is the distance a catcher has to throw the ball from home to second base?
Answers
Answer:
c=127.279
Step-by-step explanation:
c²=a²+b²
c²=90²+90²
c=√90²+90²
c=127.279 feet
Circle the numbers divisible by 2.
320;5,763; 9,308; 5,857;3,219; 5,656; 83,001;53,634
Answers
330,
308,
656,
634
In a soccer league, the ratio of boys to girls is 4 to 6. There are a total of 50 players in the soccer league. Determine how many girls play in the soccer league.
Answers
Answer:
30
Step-by-step explanation:
We can call the number of boys 4x and girls 6x so we can write:
4x + 6x = 50
10x = 50
x = 5, therefore the number of girls is 6x = 6 * 5 = 30.
Answer:
30
Step-by-step explanation:
In the ratio 4:6, we can think of this like 4 boys and 6 girls out of 10 team members.
We can find how many girls play by multiplying 6 by 5, since 50 divided by 10 is 5.
6(5) = 30, so 30 girls play in the soccer league.
Which linear function represents the line given by the point-slope equation y-8 = {(x - 4)?
O f(x)=x+4
Of(x)= x+6
O fx) = x-10
O f(x) = {x-12
Answers
Answer:
[tex]f(x) = x + 4[/tex]
Step-by-step explanation:
[tex]y - 8 = x - 4[/tex]
Add 8 to both sides to isolate the y
[tex]y = x - 4 + 8[/tex]
then you're left with y = x + 4
What’s 6(x – 1) = 9(x + 2) ?
Answers
Answer:
-8=x
Step-by-step explanation:
6x-6=9x+18
-6-18=9x-6x
-24=3x
x=-8
hope i helped
brainliest pls
im trying to level up
Answer:
x=-8
Step-by-step explanation:
find value of x and y plz do fast ?
Answers
Answer:
option C is the right answer
c) 70 and 60
Please help!! Geometry is my weakness!!
Answers
Answer:
Hey there!
Opposite angles in a parallelogram must be congruent, so T=R.
Hope this helps :)
Answer:
∠T ≅ ∠R
Step-by-step explanation:
We know that the angles are equal because they are opposite sides in the parallelogram.
Write a formula for the nth term of the arithmetic sequence
1, -3, -7, - 11, - 15...
The formula for the nth term of the sequence is an
Answers
Answer:
Step-by-step explanation:
[tex]a_{1}=1\\d=-3-1=-4\\a_{n}=a_{1}+(n-1)d\\a_{n}=1+(n-1)(-4)\\a_{n}=1-4n+4\\a_{n}=5-4n[/tex]
Help ! Inductive and deductive reasoning differ in which way? A) Conclusions drawn using deductive reasoning are always false, while conclusions drawn using inductive reasoning are always true. B) Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid. C) Conclusions drawn using inductive reasoning are always false, while conclusions drawn using deductive reasoning are always true. D) Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.
Answers
Answer:
B) Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.
Step-by-step explanation:
Inductive reasoning uses logic and uses more evidence to draw conclusions. In deductive reasoning, WE decide whether a deductive statement is true by assessing the strength of the link between the premises and the conclusion. But some deductive reasoning may appear to make sense without pointing to a truth
Answer:
The answer is D. Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.
Step-by-step explanation:
I took the test
6th grade math , helpp:D
Answers
Answer:
a) 30%
b) 45%
Step-by-step explanation:
a) Laura rolls it '4' 12/40 times, you need to convert that to a percent, so 12/40=6/20= 30% or 30/100
b) Basically the same thing: 18/40 = 45% or 45/100
Hope this helped XD
Find the present value of an investment that is worth $19,513.75 after earning 3% simple interest for 512 years.
Answers
Answer:
$16,750.00
Step-by-step explanation:
Simple interest:
I = Prt
Value of an investment of value P over t years at r interest rate:
F = P + Prt
F = P(1 + rt)
19,513.75 = P(1 + 0.03 * 5.5)
1.165P = 19,513.75
P = 16,750
Answer: $16,750.00
The present value of the investment was $16,750 which is worth $19,513.75 after earning 3% simple interest for 512 years.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
We have been given data as:
Rate of Interest (R) = 3% = 3/100 = 0.03
Time (T) = 512 years
Value of an investment of value P over t years at r interest rate:
A = P + Prt
A = P(1 + rt)
19,513.75 = P(1 + 0.03 × 5.5)
19,513.75 = 1.165P
1.165P = 19,513.75
P = 19,513.75/1.165
P = 16,750
Thus, the present value of the investment was $16,750 which is worth $19,513.75 after earning 3% simple interest for 512 years.
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ2
Please help! Will give brainliest to correct answer! (1/3) - 50 POINTS - please no wrong answers.
Answers
Answer:
( 6, pi/6)
Step-by-step explanation:
( 3 sqrt(3), 3)
To get r we use x^2 + y ^2 = r^2
( 3 sqrt(3) )^2 + 3^2 = r^2
9 *3 +9 = r^2
27+9 = r^2
36 = r^2
Taking the square root of each side
sqrt(36) = sqrt(r^2)
6 =r
Now we need to find theta
tan theta = y/x
tan theta = 3 / 3 sqrt(3)
tan theta = 1/ sqrt(3)
Taking the inverse tan of each side
tan ^-1 ( tan theta) = tan ^ -1 ( 1/ sqrt(3))
theta = pi /6
tan(theta)=y/x= sqrt(3)/3
theta = arctan(sqrt(3)/3)= pi/6
So D) (6, pi/6)
from $2003$ onward, the number of daily visitors to a website increased by $200\%$ every two years. So, for example, the number of visitors in $2011$ was $200\%$ more than the number of visitors in $2009$.
In what year was the number of daily visitors $800\%$ more than the number of daily visitors in $2003$? Explain, in words, why your answer is correct.
Answers
Answer:
2007
Step-by-step explanation:
If the number of visitors was, say, 100 people in 2003, then in 2005 that number would have gone up to 300 people, which is a 200% increase. And that number would have gone up to 900 people in 2007, which is an 800% increase.
Answer:
2007
NOT YOU TRYING TO GET THE AOPS PREALGEBRA 2 ANSWER
I stan though :D
Multicollinearity may cause problems if the absolute value of the sample correlation coefficient for two of the independent variables exceeds what value? a. .7 b. 1 c. .5 d. .05
Answers
Answer: a. .7
Step-by-step explanation:
Multicollinearity means the two or more explanatory variables in a multiple regression model are highly linearly related to each other.
Multicollinearity is a problem because
it weaken the statistical significance of an independent variable. Larger the standard error of a regression coefficient, the less likely it is that this coefficient will be statistically significant.Multicollinearity may cause problems if the absolute value of the sample correlation coefficient for two of the independent variables exceeds 0.7.
So, the correct option is a. .7 .