Question 4
Answer: Choice DExplanation:
If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.
We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.
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Question 5
Answer: Choice BExplanation:
Vector v starts at (2,5) and ends at (-3,-2).
The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.
At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.
The component form of vector v is
v = <-5, -7>
it says "move 5 units left, 7 units down".
Apply the pythagorean theorem to find the length of the vector.
a^2+b^2 = c^2
c = sqrt(a^2 + b^2)
||v|| = sqrt( (-5)^2 + (-7)^2 )
||v|| = 8.602 which is approximate.
Now let's use the arctangent function to find the angle
theta = arctan(b/a)
theta = arctan(-7/(-5))
theta = 54.462 which is also approximate.
There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.
54.462+180 = 234.462
which is the proper approximate angle for theta.
Select whether to use the Pythagorean Theorem or its converse in each situation.
Pythagorean Theorem
Converse
Anight triangle has sides
of length 3 cm and 4 cm.
What is the length of its
hypotenuse?
A triangle has sides of
length 10 m, 15 m, and 8 m,
Is it a right triangle?
A square has sides of length
2 om. What is the length of
its diagonal?
A right triangle has one side
that is 15 ft. Its hypotenuse
is 17 ft. How long is the
other side?
A gym employee is payed monthly. After working for 3 Months, he had earned $4,500. To determine how much money he will make over a six month period, he created the table below. After how many months will the gym employee have made $19,500?
Solve for x. Please look at the picture and answer it. Thank you.
Answer:
I think 12.2
Step-by-step explanation:
58+(8x-18)+(4x-4) = 180
58+(-18-4)+(8x+4x) = 180
58-22+8x+4x = 180
58-22+12x = 180
36+12x = 180 1. -36 on both sides
12x = 146 2. / 12 on both sides
x = 12.2
Oxford backslap soaps a soaps Sox a
Answer:
what
Step-by-step explanation:
Complete the table of values and sketch the graph of y = -3(2) x
Ron takes 30 minutes to walk a distance of 1800 meters find the taken by Ron to walk a distance of 3000 meters
Answer:
50 minutes.
Step-by-step explanation:
We need to find how long it takes to walk 600 meters. We can do that by 1800/3 and 30/3 which comes out to 10 minutes every 600 meters. We can then just multiply 600*5 and 10*5 which gives us 3000 meters takes 50 minutes.
Explain a way you could calculate exactly when smartphone manufacturers were shipping 500 million smartphones to stores around the world.
Answer:
When you see the 500m spike in the graph.
Please i need your help
Answer:
1. YES, BECAUSE WITH TAX, IT WOULD BE 9.88
2. MOVE THE DECIMAL OVER TO THE LEFT BY ONE PLACE
ANSWER IS 5.356
Step-by-step explanation:
IF TAX IS 13% YOU MULTIPLE 8.75 BY 1.13. YOU GET 1.13 FROM THE ORIGINAL PRICE PLUS .13 IN TAX.
Calculate greatest common divisor by step approach and reduce to lowest terms: 180/440
Answer:
the (GCF) greatest common factor is 20
Step-by-step explanation:
Answer:
divide both the numerator and denominator by the GCD .
440/20
180/20
reduced fraction : 22/9
therefore, 440/180 simplified to lowest terms is 22/9
The town of Ferndale has four candidates running for mayor: the town barber, Darrell; the fire chief, Clough the grocer, Abel; and a
homemaker, Belle. A poll of 1000 of the voters shows the following results:
DABC = 225
CABD = 190
CADB = 210
BADC = 375
Is there a winner using the plurality method?
Please help me with question 44
Answer:
Answer is a
Step-by-step explanation:
I don't want to explain
Brainliest if correct
Answer:
ok so 1/6 + 1/3, or 2/6 = 3/6 = 1/2
Multiply: 329 x 684
I need to put a comma or not
hel pleaseee
You can normally calculate, but what I use is :
329 x 684 = 329 x (700-16)
= 329 x 100 x 7 - 329 x 16
= 32900 x 7 - 329 x 16
= 230300 - 5364 = 225036.
The quotient of 25 and 5 increased by3
Answer:
8, the answer is 8
Answer:the anwer is 8
Step-by-step explanation:
its 8
What is the measure of angle y in this figure?
Step-by-step explanation:
180-163= 17
163+17=180
x and z = 17
y=163
I NEED HELP PLEASELELLSLLSKFOR SOM POINTS
Answer:
A
Step-by-step explanation:
Looking at the median data, there is a higher amount of people waiting in line for coffee on Wednesday, than there is on Sunday.
Suppose that x is a differentiable function of t and that y=5x+4, then
dy/dt=
Use either dx/dt or x'(t) in your answer.
If dx/dt=6 when x=-2, then
dy/dt|x=-2=
Answer:
dy/dt = 30
Step-by-step explanation:
y = 5x + 4
dy/dx = 5
dy/dt = dy/dx * dx/dt = 5 * 6 = 30
Write the equation of a line in slope intercept
form of a line that has a slope of 2/3 and contains (-6,3)
Answer: y = (2/3)x + 7
Step-by-step explanation:
Slope intercept form is usually write as y = mx + b, where m is the slope, b is the y-intercept.
(-6,3): -6 is the x, 3 is the y.
To solve b, we plug in x, y and m into the equation:
y = mx + b
3 = (2/3)(-6) + b
3 = -4 + b
7 = b
Then we plug m and b in, we get:
y = mx + b
y = (2/3)x + 7
A pie is split into 3 equally sized
pieces.
Each piece has an area of 79 in?
What is the total area of the pie?
the total area of the pie is 237
What is the number of years it will take the investment to double? if Moe invests $ 7,500 in an account that pays 2.4% interest compounded monthly. Round your final answer to two decimal places.
Answer:
28.91 years
Step-by-step explanation:
The investment value is multiplied each year by the factor ...
(1 +r/12)^12
= (1 +0.024/12)^12 = 1.002^12 ≈ 1.024265768
When the investment is multiplied by this factor for x years, the multiplication factor becomes 1.024265768^x. We want to know the value of x that makes this equal to 2:
2 = 1.024265768^x
log(2) = x·log(1.024265768) . . . . . take logarithms
x = log(2)/log(1.024265768) ≈ 28.91
It will take 28.91 years for the investment to double at 2.4% compounded monthly.
Rita takes 3 h to type a report. What part of typing can she do in 2 h? in x h?
Answer:
Solution: Part = 2/3 part
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!!! VE ()) You roll a 6-sided die two times. 1) What is the probability of rolling a number greater than 3 and then rolling a number greater than 3? ()) Write your answer as a percentage. % Submit
Answer:
25%
Step-by-step explanation:
Ok, so a die is rolled twice. The probability of rolling a number greater than three is 3/6 or 1/2 because 4, 5, and 6 are greater than three.
The probability of rolling a number greater than three the second time is also 3/6 or 1/2.
To get the answer of rolling both greater than three in a row, you simply multiply then together:
1/2 * 1/2= 1/4 So there is 1/4 chance or probability a number greater than 3 would be rolled twice in a row.
1/4 is the same as 25%
7 > 2 - 4 all possible solutions
Answer:
The inequality is true. There is only one solution: 7 > -4
Step-by-step explanation:
Subtract 2 and 4. You get -2. Then 7 > -2
89divided by 5 I NEED HELP
Answer:
17.8
Step-by-step explanation:
Examine the following typical corporate bond listing: Bonds Case Nat.Chg. 1 NYTel 7- 33 69 18 3 101 4 8 In the name column, NYTel is the abbreviated name of the company (New York Telephone) issuing the bond. What does the number 7, represent? interest or coupon rate b. maturity date of the bond C current yield of the bond d. the difference in price from the previous close
According to this typical corporate bond listing of New York Telephone, the number 7, represents A. interest or coupon rate.
What is a bond interest rate?The bond interest rate is the annual interest (coupon) rate paid on a bond.
The amount of interest is expressed as a percentage of the face value.
The bond interest (rate or amount) represents the periodic compensation that is due in exchange for the bondholder's agreement to lend their funds to the entity for some period.
Thus, the number 7, represents A. interest or coupon rate., not the maturity date, current yield, or the difference in price.
Learn more about bond interest rates at https://brainly.com/question/13990294
Answer: interest or coupon rate
Step-by-step explanation:
got 100% on the test
please help me answer this asap thank you
find the value of x
Answer:
[tex]\boxed{\tt x=20}[/tex]
Step-by-step explanation:
[tex]\tt 2x=5(8)[/tex] ← (Multiply the numbers)[tex]\tt 2x=40[/tex][tex]\tt \cfrac{2x}{2} =\cfrac{40}{2}[/tex] ← (Divide both sides by 2)[tex]\tt x=20[/tex]~
i really need help on this question
Answer:
0.0000000001
Step-by-step explanation:
A principal of $4800 is invested at 5.5% interest, compounded annually. How much will the investment be worth after 5 years?
Answer:
A = $6273.41
Step-by-step explanation:
[tex]\displaystyle A = P \big{(}1+ \frac{r}{n} \big{)} ^{nt}[/tex]
A = Amount of the investment in the futureP = Principal value (initial amount)r = Interest rate n = Number of times interest is compounded per yeart = Time (years)Substitute all of the known values into this equation.
[tex]\displaystyle A = 4800\big{(}1 + \frac{.055}{1}\big{)} ^{(1)(5)[/tex]
Solving for A in this equation gives us an answer of:
[tex]A = 6273.41[/tex]
Therefore, the investment will be worth $6273.41 after 5 years.
If y varies inversely of the square of x and y= 1/72 when x=3 find y when x =5
Answer:
[tex]y = \frac{1}{200}[/tex]
Step-by-step explanation:
[tex]y[/tex] ∝ [tex]\frac{k}{x^{2} }[/tex] (k is a constant we need)
[tex]\frac{1}{72} = \frac{k}{3^{2} }[/tex]
[tex]k = 0.125[/tex]
[tex]y = \frac{0.125}{5^{2} }[/tex]
[tex]y=\frac{1}{200}[/tex]
Write an expression for each of these situations. You can choose your own letters, but make sure you write what your letters represent.
The total cost of seven drinks and six bags of potato chips.
The total value of three rings is doubled.
Answer:
[tex]7d+6b[/tex]
[tex]6r[/tex]
Step-by-step explanation:
let [tex]d[/tex] be the cost of a drink
let [tex]b[/tex] be the cost of a bag of potato chips
and let [tex]r[/tex] be the cost of a ring
[tex]7d[/tex] is the cost of seven drinks
[tex]6b[/tex] is the cost of 6 bags of potato chips
so we add them together to get [tex]7d+6b[/tex]
[tex]3r[/tex] is the cost of three rings
[tex]2(3r)[/tex] is the cost of three rings but doubled
we can expand this to [tex]6r[/tex] which is the cost of 6 rings (or the cost of two rings but doubled)