The length of the opposite side is -12, and the length of the adjacent side is 5, which gives us the coordinates (-5, -12) for the terminal point.
The statement "tan0=-12/5, csc0=-13/5, and the terminal point determined by 0 is in quadrant 3" refers to a right-angled triangle whose hypotenuse is 5.
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. Therefore, in this case, the opposite side has a length of -12 and the adjacent side has a length of 5.
This is because tangent is negative in the third quadrant, which means the opposite and adjacent sides have opposite signs. The csc of an angle is the ratio of the hypotenuse to the opposite side.
In this case, the opposite side has a length of -13 because csc is also negative in the third quadrant, which means the hypotenuse and opposite sides have opposite signs.
To determine the coordinates of the terminal point, we can use the Pythagorean theorem.
The sum of the squares of the lengths of the sides of a right-angled triangle is equal to the square of the length of the hypotenuse. We know that the hypotenuse has a length of 5.
Therefore, the square of the length of the opposite side is 144 (12 squared) and the square of the length of the adjacent side is 25. Adding these gives us 169, which is the square of the length of the hypotenuse.
To learn more about : length
https://brainly.com/question/28322552
#SPJ8
lorde help me
surface area 10 points
Answer:
1560 in^2
Step-by-step explanation:
10x22 = 220 bottom rectangle
1/2(10)(24) = 120 side triangle
22x26 = 572 front rectangle
24x22 = 528 back rectangle
220+120+120-572+528= 1560
what is ³/8 of 1 dollar
Answer:
Step-by-step explanation:
A dollar is 100 cents
3/8 = .375
0.375 * 100 = 37.5
Rounded it is 38 cents.
Solve the equation: 5.4 -7.5 -6.3 = Solve the equation:
The answer would be -8.4.
Answer:
\(5.4 - 7.5 - 6.3 = 5.4 - 13.8 \\ = - 8.4\)
PLEASE HELP! THANK YOU!!!
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(3(x - 2) = 12\)
\(x = 6\)
_________________________________
\(6(x + 5) = 54\)
\(x = 4\)
_________________________________
\(3x + 5 = 32\)
\(x = 9\)
_________________________________
\(5(x + 7) = 45\)
\(x = 2\)
_________________________________
\(7x + 6 = 41\)
\(x = 5\)
_________________________________
\(2(x + 7) = 29\)
\(x = 7.5\)
_________________________________
\(4(x + 3) = 30\)
\(x = 4.5\)
_________________________________
\(5(x - 4) = 20\)
\(x = 8\)
_________________________________
\(3x - 10 = 23\)
\(x = 11\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Card A: x = 6
Card B: x = 4
Card C: x = 9
Card D: x = 2
Card E: x = 5
Card F: x = \(\frac{15}{2}\)
Card G: x = \(\frac{9}{2}\)
Card H: x = 8
Card I: x = 11
There you go bud. :')
You owe me for this lol.
What is the length of the hypotenuse of the triangle below? It’s D bro just took it
Answer: D
Step-by-step explanation:
a^2 +b^2 = c^2
\(3\sqrt{2}^2\)= 18
3\sqrt{2}^2= 18
18 + 18 = 36
The square root of 36 is 6
Answer:
D no is correct ans
Step-by-step explanation:
using pythagoras thoerem h^2=p^2+b^2
and put the value P=3root 2 and b =3root2 and take out h
On graph paper, graph Triangle ABC if A(3,0), B(2,7), and C(6,4). Investigate the slopes and side lengths of triangle ABC and make a list of any special relationships that they have
part a. )
Side AB:
Length: dAB = √[(2 - 3)² + (7 - 0)²] = √(10) = 3.16
Slope: mAB = (7 - 0) / (2 - 3) = -7
Side AC:
Length: dAC = √[(6 - 3)² + (4 - 0)²] = √(25) = 5
Slope: mAC = (4 - 0) / (6 - 3) = 4/3
Side BC:
Length: dBC = √[(6 - 2)² + (4 - 7)²] = √(20) = 4.47
Slope: mBC = (4 - 7) / (6 - 2) = -3/4
part b.)
some special relationships between the sides of Triangle ABC:
Side AB is shorter than side BC, but has a steeper slope.Side AC is the longest side of the triangle.We will use the distance formula and slope formula.
The distance formula is:
d = √[(x2 - x1)² + (y2 - y1)²]
And the slope formula is:
m = (y2 - y1) / (x2 - x1)
Side AB:
Length: dAB = √[(2 - 3)² + (7 - 0)²] = √(10) ≈ 3.16
Slope: mAB = (7 - 0) / (2 - 3) = -7
Side AC:
Length: dAC = √[(6 - 3)² + (4 - 0)²] = √(25) = 5
Slope: mAC = (4 - 0) / (6 - 3) = 4/3
Side BC:
Length: dBC = √[(6 - 2)² + (4 - 7)²] = √(20) = 4.47
Slope: mBC = (4 - 7) / (6 - 2) = -3/4
The slopes of sides AB and BC are negative, which indicates that these sides slope downwards from left to right on the coordinate plane.
Learn more about slope formula at: https://brainly.com/question/3493733
#SPJ1
gem has x toys. max has 5 more toys than gem. jamie’s has three times as many toys as max. how many toys does gem have?
Jamie's has 3(x+5) toys.
From the question, we have
gem = x toys
max = (x+5) toys
jamie’s = 3(x+5) toys.
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
Complete question: Gem has x toys. max has 5 more toys than gem. jamie’s has three times as many toys as max. how many toys does jamie’s have?
To learn more about multiplication visit: https://brainly.com/question/5992872
#SPJ9
The steady state flow in a five-spot waterflooding (i.e. injecting water into the reservoir to displace oil towards production well(s)) is given by the following equation.
q=7.081*10-3 kh/Bμ Pw-Ppw /[In(d/rw)-0.619
What is the dimensionless productivity index for this well? In this equation Rix is the injection well pressure and Ppw is the production well pressure and d is the distance between the injection and production well. (Please see the five spot figure in your notes.) In order to be able to increase the injection rate q. how would you change the three controllable variables piw, ppw and d? Discuss with your friends and other experts if there are any restrictions on varying these variables freely.
To increase the injection rate q, we can increase the injection well pressure (piw), decrease the production well pressure (ppw), or decrease the distance between the injection and production well (d) any changes in these variables should be carefully evaluated and monitored to avoid any adverse effects on the reservoir performance.
How injection rate varies with different scenario?
The dimensionless productivity index for the well in the given equation can be calculated by dividing the flow rate (q) by the pressure difference (Pw-Ppw) and the distance between the wells (d).
The dimensionless productivity index = q / (Pw-Ppw)d
In order to increase the injection rate q, we can change the three controllable variables piw, ppw and d.
To increase the injection rate q, we can increase the injection well pressure (piw), decrease the production well pressure (ppw), or decrease the distance between the injection and production well (d).
However, there may be some restrictions on varying these variables freely. For example, increasing the injection well pressure beyond a certain limit may cause formation damage or fracture the reservoir rock. Similarly, decreasing the production well pressure too much may result in water coning or gas breakthrough.
Moreover, decreasing the distance between the wells may not be feasible due to the geological or physical constraints of the reservoir.
Therefore, any changes in these variables should be carefully evaluated and monitored to avoid any adverse effects on the reservoir performance.
Learn more about injection rate
brainly.com/question/30720907
#SPJ11
Which sets of ordered pairs designate a function?
A) (2,3), (3,4), (4,5), (5,6).
B) (1,1), (-1,1), (2,4), (-2,4).
C) (0,0), (4,2), (4,-2), (5,5).
D) (0,4), (1,4), (2,4), (3,4)
The expression (a + 1)x^3 + (2 – 3a)x^2 – (3a – 1)x +
2a – 13 has a factor x – 3. Find the value of a and
hence find the other two factors of the expression.
Answer:
the other two factors, (2x+1)(3x+1)
Step-by-step explanation:
(a + 1)x³ + (2 – 3a)x² – (3a – 1)x + 2a – 13 = 0 ...(1)
x-3 = 0 x = 3
(a + 1)*3³ + (2 – 3a)*3² – (3a – 1)*3 + 2a – 13 = 0
-7a + 35 = 0
a = 5 .. substitute to (1)
6x³ -13x² – 14x -3 = 0
(x-3)(6x²+px+1) = 0 ..... 1*x * 6x² = 6x³, -3 * 1 = -3
6x³ +(p-18)x² +(1-3p)x -3 = 0
p-18 = -13
p = 5
6x²+5x+1 = (2x+1)(3x+1)
Solve the literal equation for y.
3y + 6x - 2y = 2
Answer:
Step-by-step explanation:
3y+6x-2y=2
then group like terms 3y-2y+6x=2
then{Add similar elements)
y+6x=2
then sub from both sides
y+6x-y=2-y
{Simplify}
6x=2-y
divided both sides by 6
\frac{6x}{6}=\frac{2}{6}-\frac{y}{6}
x=\frac{2-y}{6}
If a flexible air-filled container has a volume of 40 cu ft on the surface, what would the volume be at 99 feet in sea water
Answer:
50 cu ft
Step-by-step explanation:
The volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.
What is Boyle's law?Boyle's Law states that If the temperature is constant, the volume of a gas is inversely proportional to the absolute pressure.
V 1/V2 =P2/P1
V2 = P1 x V1 /P2
Substitute 60 psi for P2, 14.7 psi for P1 and 40cu.ft for V1, we get the volume V2
V2 = 40 x 14.7 / 60
V2 = 9.8 cu.ft
Volume is approximately 10 cu.ft.
Thus, the volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.
Learn more about Boyles law.
https://brainly.com/question/1437490
#SPJ2
what is the slope of the line through (2,-1) and (-2,-3)
Answer:
y=1/2x-2
Step-by-step explanation:
1. Find slop by subtracting y values over subtracting x values, which will get you the m value
-1+3 / 2+2 = 1/2
Solve the inequality. Show your work.
-5/2(3x+4)<6-3x
Answer: x>−32/9
Step-by-step explanation: -5/2(3x+4)<6-3x −15/2x−10+3x<−3x+6+3x −9/2x−10+10<6+10 (−9/2x)(2/-9)>16(2/-9) -18/-18>32/-9 1x/1>32/-9/1 x>−32/9
How do solve for M if I don’t know the answer to the problem 1/2m+40
Answer:
m=80
Step-by-step explanation:
1/2 times 80 =40
Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
To more on Progression:
https://brainly.com/question/30442577
#SPJ8
Identify the initial conditions y(0) and y'(0) for the vertical motion of an object, if the object is thrown downward at a velocity of 6 m/s from a height of 30m. (take the origin to be on the ground)
Answer:
The right solution is "y(0) = 30 m" and "y'(0) = -6 m/s²".
Step-by-step explanation:
Given,
Velocity,
u = -6 m/s
Height,
h = 30 m
Now,
By using shifting of origin, we get
⇒ \((y-30)=-6t+\frac{1}{2}(-9.8)t^2\)
\(y-30=-6t-4.9t^2\)
\(y=30-6t-4.9t^2\)
hence,
The value of y(0) is:
y(0) = \(30-0-0\)
= \(30 \ m\)
The value of y'(0) is:
y'(t) = \(-6-9.8t\)
y'(0) = \(-6 \ m/s^2\)
what’s the answer ????
Answer:
Lani saved during 12 months
Rosie is x years old
Eva is 2 years older
Jack is twice Rosie’s age
A) write an expression for the mean of their ages.
B) the total of their ages is 42
How old is Rosie?
Answer:
Rosie is 10 years old
Step-by-step explanation:
A)
Rosie is x years old
Rosie's age (R) = x
R = x
Eva is 2 years older
Eva's age (E) = x + 2
E = x + 2
Jack is twice Rosie’s age
Jack's age (J) = 2x
J = 2x
B)
R + E + J = 42
x + (x + 2) + (2x) = 42
x + x + 2 + 2x = 42
4x + 2 = 42
4x = 42 - 2
4x = 40
\(x = \frac{40}{4} \\\\x = 10\)
Rosie is 10 years old
Please help me with this
which of the following equations represent a line that is parallel y=5x-4 ad passes through the point (3,4)
The equation that represents a line that is parallel to y = 5x - 4 and passes through the point (3, 4) is y = 5x - 11.
How to write the point-slope form equation?We are given that
The slope of given line = 5And passed through point (3, 4)Slope of parallel lines is the same, so slope of the line parallel to the given line will be m = 5
We have the slope and a point, using the point-slope form we can write the equation of the line:
\(\rightarrow\text{y} - 4 =5 \ (\text{x} - 3)\)
\(\rightarrow\text{y} = 5\text{x} - 15 + 4\)
\(\rightarrow\bold{y = 5x - 11}\)
Hence, the equation that represents a line that is parallel to y = 5x - 4 and passes through the point (3, 4) is y = 5x - 11.
To know more about point-slope form, visit:
https://brainly.com/question/28895991
Your question is incomplete. The complete question is-
Which of the following equations represents a line that is parallel to y = 5x - 4 and passes through the point (3, 4)?
A. y = 5x - 7
B. y = 5x + 19
C. y = -1/5x -4
D. y = 5x - 11
Given the vector V has an initial point at (7, -1) and a terminal point at (7,−2), find the exact value of V
If vector V has an initial point at (7, -1) and a terminal point at (7,−2), then the exact value of V is (0, -1).
What is vector ?In mathematics, a vector is a mathematical object that has both magnitude and direction. It is represented by a directed line segment, where the length of the segment represents the magnitude and the direction of the segment represents the direction of the vector.
According to given information :In the given problem, we are given the initial point and terminal point of the vector V, and we need to find its exact value. To do this, we subtract the coordinates of the initial point from the coordinates of the terminal point to get the coordinates of the vector. This gives us a vector with magnitude 1 (since the difference in the y-coordinates is 1) and direction pointing downwards in the y-axis.
The vector V can be found by subtracting the initial point from the terminal point:
V = (7, -2) - (7, -1) = (7 - 7, -2 - (-1)) = (0, -1)
So the exact value of V is (0, -1).
To know more about vector visit :
https://brainly.com/question/25705666
#SPJ1
Gloria’s hotel bill came to $296 plus an 11% tax, which means that she will pay 111% of her bill.
Which is the best estimate of the total amount Gloria will pay?
$319
$330
$348
$360
Answer:
B. $330
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Lydia ran a 5-kilometer race in 22 minutes Janet ran a 2 km race in 8.5 minutes which Runner run the faster rate
Answer:
You need to figure out how many minutes per kilometer.
Lynda ran 22 divided by 5 = 4.4 minutes per kilometer
Janet ran 8.5 divided by 2 = 4.25 minutes per kilometer
Therefor, Janet ran the faster race.
Step-by-step explanation:
Connor has made deposits of $125.00 into his savings account at the end of every three months for 15 years. If interest is 10% per annum compounded monthly and he leaves the accumulated balance for another 5 years, what would be the balance in his account then?
You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.
To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:
Calculate the accumulated balance after 15 years of regular deposits:
We can use the formula for the future value of a regular deposit:
FV = P * ((1 + r/n)^(nt) - 1) / (r/n)
where:
FV is the future value (accumulated balance)
P is the regular deposit amount
r is the interest rate per period (10% per annum in this case)
n is the number of compounding periods per year (12 for monthly compounding)
t is the number of years
P = $125.00 (regular deposit amount)
r = 10% = 0.10 (interest rate per period)
n = 12 (number of compounding periods per year)
t = 15 (number of years)
Plugging the values into the formula:
FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)
Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.
Calculate the balance after an additional 5 years of accumulation:
To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:
FV = P * (1 + r/n)^(nt)
where:
FV is the future value (balance after accumulation)
P is the initial principal (accumulated balance after 15 years)
r is the interest rate per period (10% per annum in this case)
n is the number of compounding periods per year (12 for monthly compounding)
t is the number of years
Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:
P = (accumulated balance after 15 years)
r = 10% = 0.10 (interest rate per period)
n = 12 (number of compounding periods per year)
t = 5 (number of years)
Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.
By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.
Learn more about balance from
https://brainly.com/question/28767731
#SPJ11
factor 18s-63
A 9(2s+7)
B 6(3s-11)
C 18(s-3)
D 9(2s-7)
Answer:
it's D
Step-by-step explanation:
pls give me da crown
What is the distance between the points (13 , -18) and (-10 , -18) in the coordinate plane?
what is the answer
Answer:
23
Step-by-step explanation:
there you go now may I ask you when you are curious about a certain happening like what breakfast that's give you more energy or what is the fastest route from your house to school what will you do?
Answer:
Idk. I will probably find a faster route to school and research abt which foods give u more energy...... IDK
Step-by-step explanation:
Solve for x and y 60° 15°
Answer:
y = 4x hope this Helps!
Step-by-step explanation:
y = kx
k = y/x = 60/15 = 4
y = 4x
what is the percent of 11/20
Answer: 55%
Step-by-step explanation:
To find the percentage of 11/20, we can use the following formula:
Percentage = (Numerator ÷ Denominator) × 100
Substituting the values from 11/20 into the formula, we get:
Percentage = (11 ÷ 20) × 100
Percentage = 0.55 × 100
Percentage = 55%
Therefore, the percentage of 11/20 is 55%.
Answer:
Solution: 11/20 as a percent is 55%
Step-by-step explanation:
First, convert the fraction into a decimal by dividing the numerator by the denominator:
11/20 = 0.55
If we multiply the decimal by 100, we will get the percentage:
00.5 * 100 = 55
We can see that 11/20 is percentage is 55.