Give the side lengths in order from least to greatest. The side lengths are LM, MK, LK.
Answers
Answer
The order of this lengths from least to greates
MK < LM < LK
Explanation
To answer this, we need to first find the measure of the third angle to know this order.
Sum of angles in a triangle is 180°.
Third angle + 57° + 64° = 180°
Third angle + 121° = 180°
Third angle = 180° - 121°
Third angle = 59°
So, for the lengths of the sides, the length of the side is determined by the angle that is facing that side.
So, the bigger the angle, the bigger the side opposite that angle.
LM - 59°
MK - 57°
LK - 64°
We know that
57° < 59° < 64°
So,
MK < LM < LK
Hope this Helps!!!
Related Questions
Find the slope of every line that isperpendicular to the graph of the equation.y +2x = 6
Answers
1/2
Explanation:The given equation is:
y + 2x = 6
Rewrite y + 2x = 6 in the form y = mx + 6
y = -2x + 6
where m = -2
The line perpendicular to y = -2x + 6 will have a slope of:
[tex]\begin{gathered} m_2=-\frac{1}{m} \\ m_2=-\frac{1}{-2} \\ m_2=\frac{1}{2} \end{gathered}[/tex]Therefore, the slope of every line that is perpendicular to the graph of the equation y + 2x = 6 is 1/2
Identify if each relation is a function or not this is the question. help pleasequestion 1
Answers
This relation is presented as a graph. To see if a relation is or not a function graphically, we can check wether there are a vertical line that passes through the graph more than once. If there is, it is not a function, because this means that the same x value ends up in more than one y value.
In this case, we can see that this happens in every part of x greater than -1:
Thus, the relation in 1 is not a function.
Which of these groups of relative frequencies would be best represented by a pie chart?A; 20%; .19%, 21%; 20%, 20%B. 25%, 24%, 26%, 25%C.16%; 18%, 17%, 16%, 17%, 16%D. 6%, 14%, 80%
Answers
Answer:
D. 6%, 14%, 80%
Explanation:
The relative frequencies in Options A, B, and C are so close in values that each sector will be indistinguishable.
Therefore, the group of relative frequencies that would be best represented by a pie chart is Option D.
A bag of oregano weighs m grams2 bags of pepper weigh n grams if m =200 and n = 300 what's the difference in weight?
Answers
a) Difference in the weight of 3 bags of oregano and a bag of pepper.
We know that 3 bags of oregano would be: 3m
And for a bag of pepper would be n/2.
Then, the difference between them;
[tex](3m-\frac{n}{2})\text{ grams}[/tex]b) By the information given:
If m =200 and n=300.
[tex]\begin{gathered} \Delta w=3(200)-\frac{300}{2} \\ \Delta w=600-150 \\ \Delta w=450\text{ grams} \end{gathered}[/tex]A gym charges $45 per month and a $75 one-time starting fee. Which of thesewill show how much it costs to join the gym for one year?A. (45x12)+75=cB. (75-45)x12=cC.(75x12)+45=cD.(45+75)x12=c
Answers
Given
$45 per month
$75 one-time starting fee
Find cost to join the gym for one year.
In 1 year, there are 12 months, so we multiply $45 by 12.
and since $75 fee is one time, we just need to add it after the monthly fee, which means that the cost to join the gym for one year is
(45 × 12) + 75 = c
Which of the following is equivalent to the expression below?-36A. -6B. 6ОООC. 6D. -6
Answers
SOLUTION;
[tex]\sqrt[]{-36}\text{ = }\sqrt[]{(36)(-1)}\text{ = }\sqrt[]{36}\text{ x }\sqrt[]{-1\text{ }}\text{ = 6i}[/tex]Recall that the square root of the negative one is "i" meaning that it is a complex number and not a real number.
On a piece of paper, graph y< -*x+2. Then determine which answer choice matches the graph you drew.
Answers
D. graph D
Explanation
Step 1
graph the function as a line
convert
[tex]\begin{gathered} y<-\frac{3}{4}x+2\rightarrow y=-\frac{3}{4}x+2 \\ \end{gathered}[/tex]
to graph, find 2 coordianates
a) when x=0
[tex]\begin{gathered} y=-\frac{3}{4}x+2 \\ y=-\frac{3}{4}\cdot0+2 \\ y=0+2,\text{ y=2} \\ so,\text{ we have P1(0,2)} \end{gathered}[/tex]b) when
x=-4
[tex]\begin{gathered} y=-\frac{3}{4}x+2 \\ y=-\frac{3}{4}\cdot-4+2 \\ y=3+2 \\ y=5 \\ P2(-4,5) \end{gathered}[/tex]now, using two points draw a line
Step 2
we are looking fro values under this line, so the answer is
D. graph D
Graph the image of the given triangle under a dilation with a scale factor of 1/4 and center of dilation (0,0)
Answers
Answer
Explanation
When figures drawn on the coordinates system are dilated (enlarged or reduced), wg
Solve the following equation. -13 + 8 = ?-5210 -21
Answers
1. In order to solve the equation we need to apply the correct order of operations. In this case we have a sum of two numbers with different signs. In this cases we subtract the values of the numbers and preserve the signal of the greatest value. With this in mind:
[tex]-13\text{ + 8 = -5}[/tex]The correct answer is -5.
2. Solve the following equation, 6 -11 =?
We need to apply the same property on this question. We have a sum of numbers with different signs, therefore we need to subtract their values and mantain the signal of the greatest one.
[tex]6\text{ - 11 = -5}[/tex]What is the equation in slope-intercept form for the line that passes through the point (8,-3) and has a nice of -2?
Answers
To find the slope of the line you can replace the information given in the general equation of the line in its slope-intercept form and solve for m, that is,
[tex]\begin{gathered} y=mx+b \\ \text{ Where m is the slope of the line and} \\ b\text{ is the y-intercept} \end{gathered}[/tex]So, you have
[tex]\begin{gathered} (x,y)=(8,-3) \\ b=-2 \\ y=mx+b \\ \text{ Replacing} \\ -3=m\cdot8-2 \\ \text{ Solving for m} \\ -3=8m-2 \\ \text{ Add 2 from both sides of the equation} \\ -3+2=8m-2+2 \\ -1=8m \\ \text{ Divide by 8 into both sides of the equation} \\ \frac{-1}{8}=\frac{8m}{8} \\ \frac{-1}{8}=m \end{gathered}[/tex]Then the slope of the line is
[tex]m=-\frac{1}{8}[/tex]Now, since you already have the slope and the y-intercept, you can know what the equation of the line is in its slope-intercept form
[tex]\begin{gathered} y=mx+b \\ y=-\frac{1}{8}x-2 \end{gathered}[/tex]Therefore, the equation in slope-intercept form for the line that passes through the point (8,-3) and has a y-intercept of -2 is
[tex]y=-\frac{1}{8}x-2[/tex]And the correct answer is A.
Make l an organized list showing the sample space of possible designs using the table below.
Answers
SOLUTION
Step 1 :
We need to arrange the plate choices base on Shape, Design, Color.
The different arrangements are as follows:
R B RE R B BL
R F RE R F BL
S B RE S B BL
S F RE S F BL
Using the equation from Part E (V=1/2πr↑2↓h), what is the approximate volume of one refraction cup? What is the relationship between this value and the value from Part D (V=50.24cm↑3)? Use 3.14 for pi.
Answers
Given:
The figure with diameter 8 cm and height 2 cm.
Required:
Find the volume.
Explanation:
We know the volume
[tex]\begin{gathered} \text{ Volume = Area of semi-circular base}\times\text{ height} \\ \text{ Volume = }\frac{\pi r^2}{2}\times h \end{gathered}[/tex]We have diameter 8 cm. So radius will be half that is 4 cm and height is 2 cm.
So,
[tex]\begin{gathered} V=\frac{3.14\times4^2}{2}\times2 \\ V=50.24\text{ }cm^3 \end{gathered}[/tex]Answer:
Hence, volume is 50.24 cm cube.
The graph of the relation G is shown belowGive the domain and range of G.Write your answers using set notation. Domain=Range=
Answers
Answer:
• Domain = {-3, -1}
,• Range = {-3, -1, 2}
Explanation:
The points on the given graph of G are:
[tex](-3,-1),(-3,2)\text{ and }(-1,-3)[/tex]Domain
The domain of a relation is the set of the values of x for which the relation is defined.
• The domain of G = {-3, -1}
Range
The range of a relation is the set of the values of y for which the relation is defined.
• The range of G = {-3,-1,2}
Find the area of each sector. round to the hundredths place
Answers
Given data:
The given radius is PQ=r=2.8 in.
The expression for the area of the shaded region is,
[tex]\begin{gathered} A=\frac{(360^{\circ}-311^{\circ})}{360^{\circ}}\pi(r)^2 \\ =\frac{(360^{\circ}-311^{\circ})}{360^{\circ}}\pi(2.8)^2 \\ =3.35in^2 \end{gathered}[/tex]Thus, the area of the shaded region is 3.35 sq-inches.
Use pythagorean trigonometric identities to evaluate and simplify the following expression;
Answers
Answer:
[tex]sin^2\theta\text{ + cos}^2\theta\text{ = 1}[/tex]Explanation:
Here, we want to use trigonometric identities to solve the given question
To answer this, let us have a right triangle with the sides labeled as follows:
From what we have here, a represents the hypotenuse of the right triangle which is the longest side. b faces the angle given which means it is the opposite side. c is the adjacent side
Mathematically, the sine of an angle is the ratio of the length of the opposite side to that of the hypotenuse
We have that as:
[tex]sin\text{ }\theta\text{ = }\frac{b}{a}[/tex]the cosine is the ratio of the length of the adjacent side to that of the hypotenuse
We have that as:
[tex]cos\text{ }\theta\text{ = }\frac{c}{a}[/tex]Lastly, from Pythagoras' theorem, we have it that the square of the length of the hypotenuse equals the sum of the squares of the length of the opposite and the adjacent sides
Mathematically, we have that as:
[tex]a^2\text{ = b}^2+c^2[/tex]Now, let us square the sine and cosine values:
[tex]\begin{gathered} sin^2\theta\text{ + cos}^2\theta\text{ = \lparen}\frac{b}{a})\placeholder{⬚}^2+(\frac{c}{a})\placeholder{⬚}^2 \\ \\ =\text{ }\frac{b^2+c^2}{a^2} \end{gathered}[/tex]From above:
[tex]\begin{gathered} Recall\text{ : b}^2+c^2\text{ = a}^2 \\ Thus: \\ \frac{b^2+c^2}{a^2}\text{ = }\frac{a^2}{a^2}\text{ =1} \end{gathered}[/tex]Thus, we can conclude that:
[tex]sin^2\theta\text{ + cos}^2\theta\text{ = 1}[/tex]10. If the cost per person to rent a van varies inversely with the number of people sharing thecost, which table could represent this situation?
Answers
SOLUTION
Since the cost per peson varies inversely with number of people, this means that as the number of persons increases progressively, the cost per person should decrease progressively and vice versa.
Looking at the options, it is only in option D where, as the number of persons increases, the cost per person decreases progressively.
Therefore, the correct answer is option D.
Evaluate f(2) for the function f(0) = 3a² + 2x - 5 -11 11 43 -43
Answers
Given the function ;
[tex]f(x)=3x^2+2x-5-11[/tex]A 50-foot flagpole casts a shadow that is 30 feet long. A nearby building casts a shadow 130 feet long. What is the height, to the nearest foot, of the building?
Answers
the key to solve this problem is to find the angle. The angle tell us the position of the sun in the sky, then using trigonometry, we can know the hieght of the building.
To find the angle, we use the flag pole. We know the two legs of the right triangle. The trigonometric function that relates us an angle and two legs is tangent
[tex]\tan (\theta)=\frac{oppossite\text{ side}}{adyacent\text{ side}}[/tex]In this case, the oposite leg to the angle is 50ft and the adyancent is 30ft
then,
[tex]\begin{gathered} \tan (\theta)=\frac{50ft}{30ft} \\ \theta=\tan ^{-1}(\frac{5}{3})\approx59º \end{gathered}[/tex]The angle is 59º. Now we can go to the building. Using tangent again, we want to know the height, wich is the lenght of the opposite leg to the angle. Let's call the height h:
[tex]\begin{gathered} \tan (59º)=\frac{h}{130ft} \\ h=\tan (59º)\cdot130ft=216ft \end{gathered}[/tex]The height of the building is 216ft
Monday1) Reduce the ratio to its lowest form.45:10 =
Answers
Answer:
Step-by-step explanation:
To reduce the ratio to it's lower form, we divide both terms by their highest common divisor.
Divisors of 10: {1, 2, 5,
Write an equation in slope intercept form for a line passing through the pair of points. Graph the line. (4, -2) and (8, -9)
Answers
The slope-intercept form of a line is:
y = mx + b
where m is the slope and b the y-intercept.
The slope is computed as follows:
[tex]m\text{ =}\frac{y_2-y_1}{x_2-x_1}[/tex]where (x1,y1) and (x2, y2) are two known points. Replacing with (4, -2) and (8, -9):
[tex]m=\frac{-9-(-2)}{8-4}=-\frac{7}{4}[/tex]Replacing with the point (4, -2) and m = -7/4 into the general equation, we get:
-2 = (-7/4)4 + b
-2 = -7 + b
-2 + 7 = b
5 = b
Then, the equation is:
y = -7/4x + 5
The graph is
Sam and Liam raced each other up and then down the hill. Sam's average speed up the hill was 1 mph, and his average speed down the hill was 9 mph. Lian ran up the hill and down the hill with the same speed, 2 mph. if the path from the bottom to the top of the hill is 1 mile long, how much time did it take each of the boys to finish?
Answers
Answer:
[tex]\begin{gathered} \text{Lian - 1 hour} \\ \text{Sam - 1}\frac{1}{9}\text{ hours} \end{gathered}[/tex]
Explanation:
Here, we want to calculate the time taken for each of the boys to finish the race
From what we have, the total distance traveled is 2 miles (1 mile up , 1 mile down)
The general formula to get time from speed and distance is:
[tex]\text{time = }\frac{dis\tan ce}{\text{speed}}[/tex]Kindly understand that the journey is in two phases, the leg up and the leg down. The time spent on each will be summed to give the total time spent on the race
Let us start with Lian. We have it as:
[tex]\frac{1}{2}\text{ + }\frac{1}{2}\text{ = 1}[/tex]Lian took one hour
For Sam, we have it that:
[tex]\frac{1}{9}+\text{ }\frac{1}{1}\text{ = }\frac{1\text{ + 9}}{9}\text{ = }\frac{10}{9}\text{ = 1}\frac{1}{9}\text{ hours}[/tex]The midpoint of AB is M(-1, 7). If the coordinates of A are (4, 8) what are the coordinates of B?
Answers
The coordinates of B are (-6,6), using the midpoint concept.
MidpointThe midpoint of two points is given by the mean of the coordinates of these two points.
This is applicable for both the x-coordinate and for the y-coordinate, that is, we have to find the mean of each of the coordinates.
In the context of this problem, we have that:
The mean of the x-coordinates is of -1.One of them is of 4, and the other is of x.Hence the x-coordinate of B is calculated as follows:
-1 = (4 + x)/2
4 + x = -2
x = -6.
For the y-coordinate, we have that:
The mean is of 7.One of them is of 8, and the other is of y.Thus the y-coordinate of B is calculated as follows:
7 = (8 + y)/2
8 + y = 14
y = 6.
Thus the coordinates are:
B(-6,6).
More can be learned about the midpoint concept at https://brainly.com/question/25886396
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The number of bees in a colony was 25 in 1996 and has increased by 24% each year. Which exponential growth model shows the number of bees in the colony in terms of t, the number of years since 1996?options:y=25(24)t y=25(1.24)t y=25(0.24)t y=25+24t
Answers
Given:
The initial number of bees in the colony = 25
There is an increase = rate = 24% = 0.24
let the t = number of years since 1999
To find:
the exponential growth model in terms of t
To determine the growth model, we will use the formula for exponential growth:
[tex]\begin{gathered} y\text{ = a\lparen1 + r\rparen}^t \\ where\text{ a = initial amount} \\ r\text{ -= rate of growth} \\ t\text{ = time} \end{gathered}[/tex]substitute the values into the formula:
[tex]\begin{gathered} y\text{ = 25\lparen1 + 0.24\rparen}^t \\ The\text{ function becomes:} \\ y\text{ = 25\lparen1.24\rparen}^t\text{ } \end{gathered}[/tex]1/5your9 av uurinnTask Card #118 + 26
Answers
18 + 26
Adding 18 and 26 will give 44
Graph the function f(x) = [tex]\cbrt{x + 4} + 5[/tex] Use the moveable point to adjust the graph.
Answers
∛(x+4) is a translation of ∛x, 4 units to the left
∛(x+4) + 5 is a translation of ∛(x+4), 5 units up
Solve for x. The triangles in each pair are similar please question number 14
Answers
Given that the triangle CDE is similar to triangle CML, it means that the ratio of their corresponding sides are equal. It means that
CD/CM = DE/ML = CE/CL
CD = 20 + 12x + 2 = 12x + 22
CE = 30 + 12 = 42
20/12x + 22 = 12/42
By cross multipying, it becomes
12(12x + 22) = 20 * 42
144x + 264 = 840
144x = 840 - 264 = 576
x = 576/144
x = 4
The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,514 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.8058 miles and the peak's angle of elevation is θ=5.5900°. (a) Approximate the height (in feet) of Mountain A.(b) In the actual measurement, Mountain A was over 100 mi away and the curvature of Earth had to be taken into account. Would the curvature of Earth make the peak appear taller or shorter than it actually is?
Answers
Answer:
a. 14,516.7086
b. shorter
[tex]\sin \theta=\frac{\text{opposite}}{\text{hypotenuse}}[/tex][tex]\sin 5.5900=\frac{\text{opposite}}{27.8059}[/tex][tex]\text{opposite}=2.7086[/tex]To get the approximate height of Mountain A, we will add the height that we got earlier to 14,514 ft.
[tex]14,514+2.7086=14516.7086ft[/tex]b.) Since the distance is over 100 miles away, this would create an effect that will make the peak appear shorter than it actually is.
Find the sine of C please help me WRITE IT AS A PROPER FRACTION
Answers
To calculate the sin of an angle we need to divide the opposite side by the hypotenuse. So we get
[tex]\sin (C)=\frac{80}{89}[/tex]and we can not simplify this fraction. So the answer is 80/89
ANSWER ASAP!! HELP!! Logan drew AABC on the coordinate plane, andthen reflected the triangle over the y-axis to formAA'B'C'. Which statement is not true about thesetwo triangles?A. AABC = AA'B'C'B. The two triangles have the same anglemeasures.C. The vertices of AABC and AA'B'C' have thesame coordinates.D. The triangles have the same side lengths.
Answers
The right option is C because the measure of the angle dont change just change the coordinates of the vertices
what is
[tex]5\times10^{-4}[/tex]there is an invisible dot in front of 5
[tex]5.0000[/tex]if the exponent of ten is negative we will move the point to the left, if it is positive to the right
on this case is negative and the number is for it means than move the dot 4 places to the left
[tex]0.0005[/tex]so, the right option is B
what is the increase of 7.2% I have to identify it as a growth or decay and then write it in decimal form
Answers
Answers:
Growth
0.072
Explanation:
Since it is an increase of 7.2%, we can identify it as a growth.
Then, the symbol % is equivalent to divide the number by 100, so 7.2% in decimal form is equal to:
[tex]7.2\text{ \% = }\frac{7.2}{100}=0.072[/tex]So, the decimal form of 7.2% is 0.072