Answer:
x = 80°
Explanation:
A quadrilateral has sum of total 360° interior angles.
Solve:
30° + 2x + 90° + x = 360°
120° + 3x = 360°
3x = 360° - 120°
3x = 240°
x = 240°/3
x = 80°
Answer:
x = 80°
Step-by-step explanation:
Sum of interior angles of a quadrilateral = 360°
⇒ x + 30° + 2x + 90° = 360°
Collect and combine like terms:
⇒ 3x + 120° = 360°
Subtract 120 from both sides:
⇒ 3x = 240°
Divide both sides by 3:
⇒ x = 80°
Create an equivalent expression for 13−7 • 135.
A.−13^2
B. 1/13^2
C.1/13^-2
D.13^2
Answer:
B. 1/13²
Step-by-step explanation:
oh dear me, what is the true original expression ?
13-7×135 ?
that would be 13 - 945 = -932
or
(13-7)×135 = 6×135 = 810
I guess, since this all does not fit with any of the answer options, you meant
(13^-7) × (13⁵)
in that case remember, when multiplying the same base unit, we keep the base unit and add the exponents as the new exponent.
-7 + 5 = -2
so, it is
13^-2
that "-" on the exponent means 1/...
so, it is
1/13²
Brainliest Given/Thanks/5 Star for the following;
→ No Copy
→ Explanation
a sample representative of the entire population is an
[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample
Answer:
unbiased sample
Step-by-step explanation:
The population is divided into similar, nonoverlapping groups. A simple random sample then selected from each group.
A biased sample is the opposite of unbiased sample.
Answer:
[B] unbiased
Step-by-step explanation:
Let's first define each answer choice;
Biased sample: sample not representative of the entire population.
Unbiased sample: sample where every member of the population has an equal chance of being selected.
Convenience sample: sample where representatives are easily accessible.
Free sample: Sample of small amount
Thus, base on the define of the answer choices we can know that
[B] unbiased sample is the correct answer.
~Learn with Lenvy~
In ΔVWX, x = 41 cm, v = 17 cm and ∠W=134°. Find the length of w, to the nearest centimeter.
Answer:
54
Step-by-step explanation:
deltamath gave me the answer
The length of w is 54 cm.
What is Trigonometry?One of the six mathematical functions used to express the side ratios of right triangles, the trigonometric function includes the sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). The figure shows these six trigonometric functions in respect to a right triangle. Surveying, engineering, and navigation issues where one of a right triangle's acute angles and the length of a side are known but the lengths of the other sides need to be determined can be solved with ease using trigonometry.
As per the given data:
x = 41 cm
v = 17 cm
∠W = 134°
To find the length of w:
From the cosine law: \(cos(W) = \frac{x^2 + v^2 - w^2}{2xv}\)
\(w = \sqrt{x^2 + v^2 - 2xvcos(W)}\\w = \sqrt{(41)^2 + (17)^2 - 2(41)(17)cos(W)}\\w = \sqrt{1681 + 289 + 968.35} = \sqrt{2938.35}\\w = 54 \:cm\)
Hence, the length of w is 54 cm.
To learn more about Trigonometry, click:
brainly.com/question/29002217
#SPJ3
Question:- A sector is cut from a circle of radius 21 cm . the angle of the sector is 150°. find the length of its arc and area.
Answer:- ?????
( i am so weak at math , can anybody tell me some tips to do math easily my board exams r coming )
To calculate the length of the arc and the area of the sector, we can use the formulas:
1. Length of the arc (L):
L = (θ/360°) * 2πr
2. Area of the sector (A):
A = (θ/360°) * πr^2
where:
- θ is the angle of the sector in degrees (150° in this case),- r is the radius of the circle (21 cm).Now let's calculate the length of the arc and the area of the sector :
To find the length of the arc (L), we substitute the given values into the formula:
\(\quad\quad\sf\:L = \left(\frac{150°}{360°}\right) \times 2\pi \times 21 \, \text{cm} \\\)
To find the area of the sector (A), we use the formula:
\(\quad\quad\sf\:A = \left(\frac{150°}{360°}\right) \times \pi \times (21 \, \text{cm})^2 \\\)
Simplifying the calculations, we get:
\(\quad\quad\sf\:L = \left(\frac{5}{12}\right) \times 2\pi \times 21 \, \text{cm} \\\)\(\\\)
\(\quad\quad\sf\:A = \left(\frac{5}{12}\right) \times \pi \times (21 \, \text{cm})^2 \\\)
Now you can substitute the numerical values and compute the results using a calculator.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
It took a skydiver 12 seconds to drop 450 feet. What is the rate (in feet per/second) of the skydiver's drop?
Answer:
37.5 feet per second
Step-by-step explanation:
Answer:
37.5 ft per second
Step-by-step explanation:
Which description of the excerpt is correct: Play play stop mute max volume 00:0004:27 No audio loaded. ?Select one:
a. The melodic contour only moves downward
b. The melodic contour only moves upward
c. The melodic contour moves upward and then downward
d. There is no melodic contour in this example Submit
The correct answer is d. There is no melodic contour in this example.
In the given description, there is no mention or indication of any melodic contour. The provided information does not provide any details or clues about the direction or movement of a melody. Therefore, we cannot infer or determine the melodic contour from the given description. The focus of the description seems to be on the audio playback controls, such as play, stop, mute, and volume settings, rather than the melodic aspects of the audio.
know more abvout melodic contourhere:
https://brainly.com/question/32824807
#SPJ11
Find the Surface area of the trapezoid
please help
show work
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
Eber can mow 4 lawns in one hour. The equation l = 4h can be used to determine the number of lawns, 1. Eber can mow in h hours. Create a graph to represent the number of lawns Eber can mow in 0 to 5 hours. Click on the coordinate plane to place the points in the correct locations.
Understand the relationship between the number of lawns Eber can mow and the time it takes him using the equation l = 4h.
The given equation, l = 4h, represents the number of lawns (l) that Eber can mow in a certain number of hours (h). Since Eber can mow 4 lawns in one hour, we can see that the equation is a linear relationship with a slope of 4, meaning for every hour that passes, Eber can mow 4 additional lawns.
To create a graph representing this relationship, you'll want to plot points on the coordinate plane for the number of lawns mowed in 0 to 5 hours. Here are the points you would plot:
- (0, 0) – In 0 hours, Eber mows 0 lawns.
- (1, 4) – In 1 hour, Eber mows 4 lawns.
- (2, 8) – In 2 hours, Eber mows 8 lawns.
- (3, 12) – In 3 hours, Eber mows 12 lawns.
- (4, 16) – In 4 hours, Eber mows 16 lawns.
- (5, 20) – In 5 hours, Eber mows 20 lawns.
After plotting these points on the coordinate plane, connect them with a straight line. The line represents the linear relationship between the time in hours (h) and the number of lawns Eber can mow (l). The graph helps visualize how the number of lawns Eber mows increases as the hours spent mowing increase, following the equation l = 4h.
To know more about equations, visit:
https://brainly.com/question/29657983
#SPJ11
Q3 Estimate the monthly average daily radiation on a horizontal surface \( \mathrm{H} \) in June in Amman given the following : Monthly average hours per day of sunshine in June 10 hours Climate type:
The estimated monthly average daily radiation on a horizontal surface in June in Amman is approximately 7.35 kWh/m(^2)/day.
To estimate the monthly average daily radiation on a horizontal surface H in June in Amman, we can use the following equation:
\([H = S \times H_s \times \frac{\sin(\phi)\sin(\delta)+\cos(\phi)\cos(\delta)\cos(H_a)}{\pi}]\)
where:
S is the solar constant, which is approximately equal to 1367 W/m(^2);
\(H(_s)\) is the average number of sunshine hours per day in Amman in June, which is given as 10 hours;
(\(\phi\)) is the latitude of the location, which for Amman is approximately 31.9 degrees North;
(\(\delta\)) is the solar declination angle, which is a function of the day of the year and can be calculated using various methods such as the one given in the answer to Q1;
\(H(_a)\) is the hour angle, which is the difference between the local solar time and solar noon, and can also be calculated using various methods such as the one given in the answer to Q1.
Substituting the given values, we get:
\([H = 1367 \times 10 \times \frac{\sin(31.9)\sin(\delta)+\cos(31.9)\cos(\delta)\cos(H_a)}{\pi}]\)
Since we are only interested in the monthly average daily radiation, we can assume an average value for the solar declination angle and the hour angle over the month of June. For simplicity, we can assume that the solar declination angle (\(\delta\)) is constant at the value it has on June 21, which is approximately 23.5 degrees North. We can also assume that the hour angle \(H(_a)\) varies linearly from -15 degrees at sunrise to +15 degrees at sunset, with an average value of 0 degrees over the day.
Substituting these values, we get:
\([H = 1367 \times 10 \times \frac{\sin(31.9)\sin(23.5)+\cos(31.9)\cos(23.5)\cos(0)}{\pi}]\)
Simplifying the equation, we get:
\([H \approx 7.35 \text{ kWh/m}^2\text{/day}]\)
Therefore, the estimated monthly average daily radiation on a horizontal surface in June in Amman is approximately 7.35 kWh/m(^2)/day.
Learn more about "average daily radiation " : https://brainly.com/question/32911494
#SPJ11
Which of the following transformations of f(x) = | x | has no effect on its graph?
A) Reflection over the y-axis
B) Reflection over y = x
C) Reflection over y = -x
D) Reflection over the x-axis
Answer:
A) Reflection over the y-axis
Step-by-step explanation:
The graph is given as : f(x) = | x |
As attached, the graph open upwards originating from the origin.
A reflection on the y-axis will map the points on the right to points on the left. For example, a point (4,4) will map to point (-4,4) and vice versa to maintain the same graph with no effect.
Answer choice B is incorrect in that a point (-2,2) will be mapped to (2,-2) which has an effect on the -ve sign which will shift from the x-coordinate to the y coordinate.
Answer choice C is incorrect because a point (2,2) will be mapped to a point (-2,-2) which has an effect in that the transformation has introduced a -ve sign in its object coordinates for the image coordinates.
Answer choice D is incorrect because the graph formed for the image will open downwards unlike the graph for the object.
Exit Alg1: 6-3 MathXL AP Exponential Growth & Decay (22-23)
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $6,000, annual interest: 6%, interest periods: 12, number of years: 17
After 17 years, the investment compounded periodically will be worth $
(Round to two decimal places as needed.)
more than the investment compounded annually.
The investment compounded periodically will be worth $14,054.52, which is $596.10 more than the investment compounded annually.
How to calculate the investment worthTo calculate the future value of the investment compounded periodically, we need to use the formula:
FV = P * (1 + (r / n))^(n * t)
where:
P = $6,000 (principal)
r = 6% (annual interest rate)
n = 12 (number of interest periods per year)
t = 17 (number of years)
Plugging in the values, we get:
FV = $6,000 * (1 + (0.06 / 12))^(12 * 17) = $6,000 * (1 + 0.005)^204
FV = $6,000 * (1.005)^204
FV = $14,054.52
So, the investment compounded periodically will be worth $14,054.52 after 17 years.
To calculate the future value of the investment compounded annually, we use the same formula but with n = 1 (one interest period per year):
FV = $6,000 * (1 + 0.06)^17
FV = $6,000 * (1.06)^17
FV = $13,458.42
So, the investment compounded annually will be worth $13,458.42 after 17 years.
Learn more about compounded annually at:
https://brainly.com/question/24274034
#SPJ1
What is the answer to this question because I don’t know?
Answer:
B.
Step-by-step explanation:
To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.
Yuson must complete a certain number of hours of community service. She does 2 hours of service each day. After 8 days, Yuson has completed
half of her required community service.
Write a linear equation to represent the hours that Yuson has left to do after x days.
Answer: 16
Step-by-step explanation: becuase he works 2 hours for eight days 8x2= 16+16= 32
what can you conclude about gcd(a, b) if there are integers s and t with as bt = 15?
We can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.
If there are integers s and t such that as + bt = 15, then we can conclude that gcd(a, b) divides 15. This is known as Bézout's identity, which states that for any two integers a and b, there exist integers s and t such that as + bt = gcd(a, b).
To see why this is true, consider the set of all linear combinations of a and b, that is, the set {ax + by : x, y are integers}. This set contains all multiples of gcd(a, b) since gcd(a, b) divides both a and b.
Therefore, gcd(a, b) is the smallest positive integer that can be expressed as a linear combination of a and b.
Now, if as + bt = 15, then 15 is a linear combination of a and b, which means that gcd(a, b) divides 15.
Conversely, if gcd(a, b) divides 15, then we can find integers s and t such that as + bt = gcd(a, b), and we can scale this equation to obtain as' + bt' = 15, where s' = (15/gcd(a, b))s and t' = (15/gcd(a, b))t.
Therefore, we can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.
Click the below link, to learn more about gcd:
https://brainly.com/question/2292401
#SPJ11
A loan is made for $4800 with an APR of 12% and payments made monthly for 24 months. What is the payment amount? What is the finance charge?
The monthly payment amount is $217.42 and the finance charge is $413.02.
The payment amount and finance charge can be found by using the formula below
Payment amount formula: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)
Finance charge formula: Finance charge = Total payment - Loan amount
Where P = Loan amount
R = Interest rate per period
N = Number of periods
Given that a loan is made for $4800 with an APR of 12% and payments made monthly for 24 months
Therefore,P = $4800R = 12% / 12 = 1% per month
N = 24
Using the Payment amount formula above: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)
PMT = ($4800 x 0.01 x (1 + 0.01)^24) / ((1 + 0.01)^24 - 1)
PMT = $217.42
Hence, the monthly payment amount is $217.42 (rounded to two decimal places).
Using the finance charge formula above: Finance charge = Total payment - Loan amount
Total payment = Payment amount x Number of periods
Total payment = $217.42 x 24 = $5213.02
Finance charge = $5213.02 - $4800
Finance charge = $413.02
Hence, the finance charge is $413.02 (rounded to two decimal places).
To know more about monthly payment amount, visit:
https://brainly.com/question/29569732
#SPJ11
Plz can someone help me show work for these two problems!!
3x + y = 13
2x - y = -1
Answer:
3x +y = 13
Or, x=13-y/3......eqn(i)
Now putting the value of x
2x - y = - 1
Or, 2(13-y/3) - y = - 1
Or, 26 - 2y /3 - y = -1
Or, 26 - 2y - 3y = - 3
Or, 26 - 5y = - 3
Or, - 5y = - 3 - 26
Or,y = - 39/ (- 5)
Or, y = 7.8~
A reservoir is contemplated on a stream that has an average annual runoff of 350×106 m3. Measurements indicate that the average sediment inflow is 200,000 metric tons per year. Assume that a cubic meter of settled sediment will dry out to a weight of 9,600 N/m3. If the reservoir's initlal capacity is 42×106 m3, determine the life of the reservoir if its life ends when it is 80% full of sediment and plot the reservoir capacity as a function of time. Use the median curve in Figure 7.12 of the handout and capacity intervals of 8.4×106 m3. Note that 1 metric ton equals 1,000 kg.
in which ways does a nonlinear programming model differ from a linear programming model? multiple select question. nonlinear models have nonproportional relationships between activity levels and the overall measure of performance
A nonlinear programming model differs from a linear programming model in several ways. One key difference is that nonlinear models have nonproportional relationships between activity levels and the overall measure of performance.
Additionally, nonlinear models may have multiple optimal solutions, while linear models typically only have one optimal solution. Nonlinear models may also have discontinuous objective functions or constraints, while linear models have continuous objective functions and constraints.
Nonlinear programming models are used when the relationship between variables is not linear. In a linear programming model, the objective function and constraints are linear, meaning that they have a constant rate of change.
However, in a nonlinear programming model, the objective function and constraints may have nonlinear relationships, which means that they do not have a constant rate of change. This can make it more difficult to optimize the model, as it may have multiple optimal solutions or discontinuous regions. Nonlinear programming models may use techniques such as gradient descent or Newton's method to find the optimal solution, while linear programming models typically use the simplex method. Overall, nonlinear programming models are more complex than linear programming models and require more advanced mathematical techniques to solve.
Learn more about Nonlinear programming models here: brainly.com/question/20364708
#SPJ11
Which expression can be simplified to find the solution(s) of the equation 2x²-x-15-0
The expression is option B and the solutions of the equation 2x² - x - 15 = 0 are x = 3 and x = -5/2.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
The solutions of a general quadratic equation ax² + b x + c = 0 can be found using the formula,
x = [-b ± \(\sqrt{b^2-4ac}\) ] / 2a
Given quadratic equation is 2x² - x - 15 = 0.
a = 2, b = -1 and c = -15
Solutions of the equation can be found using the formula.
x = [-(-1) ± \(\sqrt{(-1)^2-4(2)(-15)}\) ] / 2(2)
= [1 ± \(\sqrt{1-4(2)(-15)}\) ] / 2(2), which is the expression given in option B.
Solving this,
x = 1 ± \(\sqrt{1+120}\) ] / 4
x = (1 ± 11) / 4
x = 3 and x = -10/4 = -5/2
Hence the required expression is option B.
Learn more about Solving Quadratic Equations here :
https://brainly.com/question/27318739
#SPJ1
Your question is incomplete. The complete question with the missing part is given below.
Which expression can be simplified to find the solution(s) of the equation 2x²-x-15 = 0?
A. [1 ± \(\sqrt{1-4(2)(15)}\)] / 2(2)
B. [1 ± \(\sqrt{1-4(2)(-15)}\)] / 2(2)
C. [1 ± \(\sqrt{1+4(2)(15)}\)] / 2(2)
D. [1 ± \(\sqrt{-1-4(2)(-15)}\)] / 2(2)
E. [-1 ± \(\sqrt{1-4(2)(-15)}\)] / 2(2)
Solve:
(7 + 18) + (3 X 6) + (4 x 5) =
Answer:
use a algebra caculator
Step-by-step explanation:
WILL MARK BRAINLIEST!! Solve the system of equations -
System 1: 2x - 3y = -1
System 2: y = x - 1
Answer:
x=4
y=3
Step-by-step explanation:
Do you need an explanation?
If J=91 ,L=16 , and K=73 , list the sides of triangle JKL in order from smallest to largest
A. JL, KJ, LK
B. LK, JL, KJ
C. KJ, JL, LK
D. KJ, LK, JL
JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.
How are the angles arranged, from greatest to smallest?JKL, where K is the specified angle, is an example.Acute Angles are the smallest angles. An acute angle is a particular kind of angle that measures less than 90°.an acute angle. The planar surface typically produces obtuse angles.Straight angle. Right angle.Subtract the squares of the other sides, then calculate the square root to determine the shorter side.Reflex angle at its widest point.JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.To learn more about smallest angle refer to:
https://brainly.com/question/12260821
#SPJ1
Can someone help me with B?
Answer:
8
Step-by-step explanation:
12/15 = x/10
cross multiply and you get 120 = 15x
divide both sides by 15, x=8
What is the end behavior of the function h? H(x)=-4x+4
Answer:
Below
Step-by-step explanation:
The end behavior of a function is how it grows when it reaches both plus and - infinity.
To do that we will calculate:
● lim h(x) x=> +infinity = lim-4x+4 x=> +inf = lim -4x x=> +inf
-4 is negative so the limit will be -infinity
● lim (-4x+4) x=> -inf = lim (-4x) x=> -inf
-4 is negative, x is negative then -4x is positive. So the limit will be + inf
if x=2 and t=4 what is the value of 1/8 (x^3 - 4) (t^2 + 8)?
Answer:
12
Step-by-step explanation:
Finding the 'value' means we need to calculate a number answer.
1/8 (x^3 - 4) (t^2 + 8)
Fill in 2 for x and 4 for t.
=1/8(2^3 - 4)(4^2 + 8)
inside of parenthesis we'll work on exponents first.
= 1/8 (8 - 4) (16 + 8)
Still inside of parenthesis, do the subtracting or adding next.
= 1/8 (4) (24)
This is all multiplying.
= 12
Need help on this almost done
Step-by-step explanation:
As shown in the picture, 3(x + 7) = (x + 7) + (2x - 7) + x.
So 3x + 21 = 4x. This means that x = 21.
PLZZZZZ HELP ME ANYONE PLEASE HELP ME :(! Marcus has a box that is 4 1/2 feet long, 1/2 foot wide, and 2 feet high. What is the volume of the box?
Answer:
4.5
Step-by-step explanation:
show me step by step : 0.18x1.5
Answer:
0.27
Step-by-step explanation:
0.1 8
x 0.50
-----------
000
900
x 1800
-----------
2700 = 0.27
I NEED HELP IM LATE PLEASE
Answer:
9x, 8x+12
Step-by-step explanation:
x(2x+7)-2x(x-1)
=> 9x
at a large airport, data were recorded for on emonth on how mayn baggage items were unloaded on each flight upon arrival as well as the time to deliver all the baggage items on the fligh tto the baggage claim area
The correct option is (B) The actual time required to deliver all the items to the baggage claim area based on the number of items unloaded will be very close to the time predicted by a least-squares model.
What is least-square model (regression line)?In order to find the line that is most suitable for a set of data, the least squares method is a type of mathematical regression analysis. It offers a visual representation of the relationship between both the data points.
Some characteristics of least square model are-
The correlation between a recognized independent variable but also an unknowable dependent variable is represented by each data point.By reducing the total of the offsets and residuals of spots from either the plotted curve, the least squares approach is a statistical technique for identifying the best estimate for a group of data points.In order to forecast the evolution of dependent variables, least squares is employed.The location of such line of best fit amongst some of the data points under study is explained generally by the least squares method.To know more about least square model/ regression line, here
https://brainly.com/question/14563186
#SPJ4
The complete question is-
At a large airport, data were recorded for one month on how many baggage items were unloaded from each flight upon arrival as well as the time required to deliver all the baggage items on the flight to the baggage claim area scatter plot of the two variables indicated a Strong; positive linear association between the variables_ Which of the following statements is a correct interpretation of the word ~strong in the description of the association?
(A) least-squares model predicts that the more baggage items that are unloaded from a flight; the greater the time required to deliver the items to the baggage claim area
(B) The actual time required to deliver all the items to the baggage claim area based on the number of items unloaded will be very close to the time predicted by a least-squares model .
(C) The time required to deliver an item to the baggage claim area is relatively constant; regardless of the number of baggage items unloaded from a flight,
(D) The variability in the time required to deliver all items to the baggage claim area is about the same for all flights, regardless of the number of items unloaded from flight
(E) The time required to unload baggage items from a flight is related to the time required to deliver the items to the baggage claim area.