Which equation can be used to find the measure of angle LJK?
sin(x) = (10/15)
sin(x) = (15/10)
cos(x) = (10/15)
cos(x) = (15/10)
we know that
In the right triangle LJK
m∠LJK°=m∠x°
[tex]cos\ x=\frac{adjacent\ side\ angle\ x}{hypotenuse}[/tex]
in this problem
[tex]adjacent\ side\ angle\ x=JL=10\ in\\ hypotenuse=KJ=15\ in[/tex]
substitute
[tex]cos\ x=\frac{10}{15}[/tex]
therefore
the answer is the option
[tex]cos\ x=\frac{10}{15}[/tex]
The equation that can be used to find the measure of angle LJK is cos(x) = 10/15.
What is a right angle?
The image in the diagram is a right triangle. A right angle is a triangle that has an angle that measures 90 degrees. In the triangle, angle L measures 90 degrees. The hypotenuse is 15 inches.
What can be used to determine the value of xSin = opposite / adjacent
sin x = √(15² - 10²) / 15
sin x = 11.1 / 15
Tan = opposite / adjacent
tan x = 11.1 / 15
Cos = adjacent / hypotenuse
cos x = 10 / 15
To learn more about a triangle, please check: https://brainly.com/question/9329354
Write 5^2 • 5^-1 • 5^3 as a single exponent,
Why are quartiles generally more reliable for judging outliers than mean and standard deviation?
Final answer:
Quartiles are more reliable than mean and standard deviation for judging outliers because they are less affected by extreme values, making them a robust measure, especially for skewed distributions.
Explanation:
Quartiles are generally more reliable for judging outliers than mean and standard deviation because they are less sensitive to extreme values. While mean and standard deviation can be significantly affected by a single outlier, quartiles, particularly the Interquartile Range (IQR), measure the spread of the middle 50 percent of the data, thus minimizing the impact of outliers. The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3), which defines the range where the central half of the data points lie.
Outliers are typically identified using criteria based on the IQR, such as data points that fall below Q1 - 1.5*IQR or above Q3 + 1.5*IQR. Compared to standard deviation, which is affected by the skewness of the data, quartiles present a more robust measure, especially in skewed distributions. Therefore, quartiles offer a more resistant and accurate way of identifying outliers and understanding the data's spread without being unfairly influenced by extreme values.
Phineas is the lead research scientist in a lab and responsible for ordering supplies and equipment. The lab is out of petri dishes, so Phineas orders 185 of them. The lab uses 12 petri dishes each day.Explain how you would write a two-variable linear equation for this situation.
the equation for a two variable equation is ax +by = r
r would be the total number of petri dishes ordered
so you have ax + by = 185
ax would be the number of dished used times x number of days = 12x
so you now have 12x + by = 185
b is unknown so the equation becomes 12x +y = 185
Find slope through the points (3,-1) & (2,5)
Tyler solved an inequality to determine the number of songs he can buy with a $20 credit at his favorite music website. The solution is graphed below
Which phrases accurately describe all the possible quantities of songs he can buy? Check all that apply.
no more than 8 songs
at least 8 songs
a minimum of 8 songs
at most 8 songs
fewer than 8 songs
a maximum of 8 songs
no fewer than 8 songs
Answer:
no more than 8 songs
at most 8 songs
Step-by-step explanation:
Answer: A & D
Step-by-step explanation:
The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?
A. y = x + 2
B. y = 2
C. y = 2x
Answer:
Equation of the line written in slope-intercept form y = 2x .
Option C is correct .
Step-by-step explanation:
As the equation of a line is represented by .
y = mx + c
Where m is the slope and c is the y - intercept .
As given
The slope of a line is 2, and the y-intercept is 0.
m = 2
c = 0
Put all the values in the above
y = 2x + 0
y = 2x
Therefore equation of the line written in slope-intercept form y = 2x .
Option C is correct .
A rectangular dog pen which is 5 times as long as it is wide
The distributive property between 48 and 72
48 + 72 = 120= 60*2
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Find the percent of change in altitude if a weather balloon moves from 100 ft to 103 ft. describe the percent of change as an increase or decrease. Round to the nearest tenth if necessary
A. 3% decrease
B.2.6% increase
C.3.4% decrease
D.3% increase
D. 3 is 3% of 100 and it increase by 3
please help
What is the perimeter of PQR? Show your work.
The cross-section of a beehive reveals it is made of regular hexagons. What is the measure of each angle in the regular hexagon ?
Each angle in a regular hexagon measures 60 degrees.
Explanation:A regular hexagon is a polygon with six equal sides and six equal angles. Since the cross-section of a beehive is made of regular hexagons, each angle in the regular hexagon would have the same measure.
To find the measure of each angle in the regular hexagon, we can use the formula:
Measure of each angle = (360 degrees) / (number of sides)
Substituting the value for a regular hexagon, we have:
Measure of each angle = (360 degrees) / (6 sides)
Therefore, each angle in a regular hexagon measures 60 degrees.
A mail-order supplier of small electrical parts charges a shipping fee of $8, plus $5 for each pushbutton light switch ordered. If x is the number of pushbutton switches ordered, then the expression for the total cost of an order is 5x + 8 What is the total cost of six switches?
Answer:
B. Number of switches
x. 5x + 8
1. 13
2. 18
3. 23
Final answer:
The expression for the total cost of an order with x pushbutton switches is 5x + 8. For six switches, it amounts to 5(6) + 8, or $38.
Explanation:
The total cost of ordering a certain number of switches can be determined by the expression 5x + 8, where x is the number of pushbutton switches ordered. In this instance, to find the total cost for six switches, we substitute x with 6. Therefore, the calculation would be 5(6) + 8.
Calculating this, we get:
5(6) = 30Total cost = 30 + 8 = $38Thus, the total cost for ordering six switches is $38.
Solve for x. 5x = -123
Which is a secant?
CT
MH
CD
The secant in the given figure is:
CD
Step-by-step explanation:We know that in geometry a secant is a line that intersect the circle or any curve in atleast two distinct points.
Here we have a curve as a circle.
Hence, the secant is: CD
( Also MH is not a secant since it does not intersect the curve at any point.
Also CT is not a secant because it is not a line, it is a line segment although it intersect the curve at two distinct points )
The domain for f(x) and g(x) is the set of all real numbers. let f(x) = 2x-3 and g(x) = 3x +8 find f(x)g(x)
Erin and her friends are taking a road trip. She has agreed to drive between hours 3 and 6 of the trip. If h represents the hours of the trip Erin will be driving, then h ≥ 3 and h≤ 6 represents her portion of the driving. While she is driving, her distance and time are modeled by the inequality d < 70h. What are the possible hours and distances Erin could be driving? When graphing this scenario, let h be the horizontal variable and d be the vertical variable.
Answer:
to the right
to the left
below
(4.5,200)
One of two supplementary angles is five times the measure of the other. find the measure of the smaller angles.
Solve the inequality 13x - 4 < 12x - 1.
x < 3
x > 3
x < 5
x > 5
Answer:
The answer is x<3
Step-by-step explanation:
after 5 points are subtracted from every score, the sample mean is found to be m = 24. what was the mean for the original sample?
Answer:
The mean of original sample is 29.
Step-by-step explanation:
After 5 points are subtracted from every score, the sample mean is found to be m = 24
So, the mean for the original sample was = [tex]24+5=29[/tex]
Here we are talking about mean so 5 points are subtracted from every score. when we are talking in terms of mean, 5 will be added to the mean, that will give 5 added to every score.
Find equations for the lines through the point (a,
b.that are parallel to and perpendicular to the line y = mx + c, assuming m â 0.
A turtle swims at a speed of 1584 meters per hour. A girl swims at a speed of 1380 millimeters per second how much faster does the girl swim than the turtle in centimeters per minutes?
The girl swims 8280 centimeters per minute faster than the turtle.
Explanation:To calculate how much faster the girl swims than the turtle in centimeters per minute, we need to convert their speeds to a common unit of measurement.
The turtle swims at a speed of 1584 meters per hour, which is the same as 158400 centimeters per hour.
The girl swims at a speed of 1380 millimeters per second, which is the same as 138 centimeters per second.
To convert the girl's speed to centimeters per minute, we multiply her speed in centimeters per second by 60 (since there are 60 seconds in a minute). So, the girl swims at a speed of 138 * 60 = 8280 centimeters per minute.
Therefore, the girl swims 8280 centimeters per minute faster than the turtle.
Final answer:
The girl swims 150,120 centimeters per minute faster than the turtle.
Explanation:
To find out how much faster the girl swims than the turtle, we need to convert their speeds to the same units. First, we'll convert the turtle's speed from meters per hour to centimeters per minute. Since there are 60 minutes in an hour, we can multiply 1584 meters per hour by 100 to convert it to centimeters per minute. This gives us a speed of 158,400 centimeters per minute for the turtle.
Next, we'll convert the girl's speed from millimeters per second to centimeters per minute. Since there are 60 seconds in a minute, we can multiply 1380 millimeters per second by 6 to convert it to centimeters per minute. This gives us a speed of 8,280 centimeters per minute for the girl.
To find out how much faster the girl swims, we subtract the turtle's speed from the girl's speed. So the girl swims 8,280 - 158,400 = -150,120 centimeters per minute faster than the turtle. However, since we want the answer to be a positive value, we can take the absolute value of the difference, which gives us a final answer of 150,120 centimeters per minute.
Consider the function f(x)=−23x+2f(x)=−23x+2 . What is f(12)f(12) ? Enter your answer, as a simplified fraction, in the box
Answer:
If the function is [tex]f(x)=-23x+2[/tex], then the value of f(12) is -274.
Note: If the function is [tex]f(x)=-\frac{2}{3}x+2[/tex], then the value of [tex]f(\frac{1}{2})[/tex] is [tex]\frac{5}{3}[/tex].
Step-by-step explanation:
The given function is
[tex]f(x)=-23x+2[/tex]
Put x=12,
[tex]f(x)=-23(12)+2=-274[/tex]
It is not a fraction value.
Note: If the given function is
[tex]f(x)=-\frac{2}{3}x+2[/tex]
We have to find the value of [tex]f(\frac{1}{2})[/tex].
Put [tex]x=\frac{1}{2}[/tex] in the given function.
[tex]f(\frac{1}{2})=-\frac{2}{3}(\frac{1}{2})+2[/tex]
[tex]f(\frac{1}{2})=-\frac{1}{3}+2[/tex]
[tex]f(\frac{1}{2})=\frac{-1+6}{3}[/tex]
[tex]f(\frac{1}{2})=\frac{5}{3}[/tex]
Therefore the value of [tex]f(\frac{1}{2})[/tex] is [tex]\frac{5}{3}[/tex].
What is the most precise classification of the quadrilateral?
F(-13, 7), I(1, 12), N(15, 7), E(1, -5)
The most precise classification of the quadrilateral defined by the points F(-13, 7), I(1, 12), N(15, 7), and E(1, -5) is a kite.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral. That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
We are given that;
The points F(-13, 7), I(1, 12), N(15, 7), E(1, -5)
Now,
To determine the most precise classification of the quadrilateral defined by the points F(-13, 7), I(1, 12), N(15, 7), and E(1, -5), we need to use the properties of quadrilaterals and their classifications.
One way to classify a quadrilateral is by its sides and angles. Based on this classification, the quadrilateral can be classified as a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length, and the diagonals of a kite are perpendicular.
To see why the quadrilateral defined by F, I, N, and E is a kite, we can start by noting that FI and EN have equal length, as do IN and FE. Additionally, we can compute the lengths of the diagonals and check whether they are perpendicular.
The length of diagonal FN is sqrt(676+25)=sqrt(701), and
The length of diagonal IE is sqrt(256+49)=sqrt(305).
The product of the slopes of FI and EN is (12-7)/(1-(-13))*(1-(-5))/(1-15)=-5/4. This product is negative, indicating that the diagonals are perpendicular.
Therefore, the quadrilateral defined by F, I, N, and E is a kite.
Learn more about quadrilaterals here:
https://brainly.com/question/1365755
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Final answer:
The most precise classification of the given quadrilateral formed by the coordinates (-13, 7), (1, 12), (15, 7), and (1, -5) is a parallelogram.
Explanation:
The given coordinates (-13, 7), (1, 12), (15, 7), and (1, -5) form a quadrilateral. To determine the most precise classification of the quadrilateral, we need to analyze its properties.
Based on the given coordinates, we can see that opposite sides of the quadrilateral are parallel. The vectors formed by connecting the consecutive points are FI = (14, 5), IN = (14, -12), and NE = (-14, -12). These vectors have equal magnitudes, indicating that the quadrilateral is a parallelogram.
Therefore, the most precise classification of the quadrilateral is a parallelogram.
any math experts? Geometry
1.Justify each step in solving the equation 4x=7(x-3) by writing a reason for each statement.
1. 4x=7(x-3)
2. 4x=7x-21
3. -3x=-21
4. x=7
Final answer:
To solve the equation 4x=7(x-3), distribute 7, simplify, isolate the variable, and divide by -3 to find that x=7.
Explanation:
To solve the equation 4x=7(x-3) step by step:
1. First, distribute 7 to (x-3), resulting in 4x=7x-21. (Reason: applying the distributive property)
2. Next, subtract 7x from both sides of the equation, giving us 4x-7x=-21. (Reason: isolating the variable term)
3. Combine like terms on the left side to get -3x=-21. (Reason: simplifying the equation)
4. Finally, divide both sides of the equation by -3 to solve for x, resulting in x=7. (Reason: isolating the variable)
After solving the given equation, that is, 4x=7(x-3), we get the answer x=7.
In which function is x = 2 mapped to 32?
A. f(x) = -3x^2-4
B. g(x) = 4(x+3)^2-68
C. h(x) = 3x
D. j(x) = 2x-62
Answer:
Option B - [tex]g(x) = 4(x+3)^2-68[/tex]
Step-by-step explanation:
Given : Function is x = 2 mapped to 32.
To find : Which function is it ?
Solution : We put x=2 in every function and which result to 32 is the answer.
A. [tex]f(x) = -3x^2-4[/tex]
[tex]f(2) = -3(2)^2-4[/tex]
[tex]f(2) = -3(4)-4[/tex]
[tex]f(2) = -12-4[/tex]
[tex]f(2) = -16[/tex]
B. [tex]g(x) = 4(x+3)^2-68[/tex]
[tex]g(2) = 4(2+3)^2-68[/tex]
[tex]g(2) = 4(5)^2-68[/tex]
[tex]g(2) = 4(25)-68[/tex]
[tex]g(2) = 100-68[/tex]
[tex]g(2) = 32[/tex]
C. [tex]h(x) = 3x[/tex]
[tex]h(2) = 3(2)[/tex]
[tex]h(2) = 6[/tex]
D. [tex]j(x) = 2x-62[/tex]
[tex]j(2) = 2(2)-62[/tex]
[tex]j(2) = 4-62[/tex]
[tex]j(2) =-58[/tex]
Option B -[tex]g(x) = 4(x+3)^2-68[/tex] gave you the result [tex]g(2) = 32[/tex]
Therefore, Option B is correct.
A set of data that is made up of two paired variables is
Final answer:
A set of data that is made up of two paired variables is called bivariate data. These types of data reflect a one-to-one relationship between the paired variables and can be visualized using graphs with independent and dependent variables.
Explanation:
The set of data made up of two paired variables is known as bivariate data. This type of data includes pairs of related data where each data point in one set is matched with exactly one data point in the other set, establishing a one-to-one relationship between the two. Essentially, in a paired data set, both data sets are the same size, and there's an explicit connection between each point in one set to one in the other.
A common way to visualize the relationship between two properties of a system is by using a two-dimensional data plot. This graph will typically have two axes: a horizontal axis for the independent variable (often represented as 'x'), and a vertical axis for the dependent variable (often represented as 'y'). For example, if we know a relationship such as y = x² + 2, we can create a table of x and y values and then graph them to visualize the relationship.
When dealing with categorical variables, data is often represented in a two-way table, which is also based on bivariate data. In such a table, entries in the total row and total column are called marginal frequencies or marginal distributions.
Combine the like terms to make a simpler expression:
−3k−(−8)+2
What is the value of d? 0.5(6d+10)=17 Enter your answer in the box.
0.5(6d+10) = 17
3d+5 = 17
3d =12
d = 12/3
d = 4
Answer: it 5
Step-by-step explanation: 6d=6.5=10 = 16.5+0.5=17
The sum of x and 8 is less than 72 find all possible values of x