Answer:
<LPN= 57 degrees
Step-by-step explanation:
Inscribed Quadrilaterals opposite angles are supplementary.
find <M
102+144=246
246/2=123
<M= 123
180-123=57
BOOM!
Angle is one of the measurement of rotation. The measure of the angle LPN is 57°
What is the relation between central angle and angle on circumference?Consider an arc of a circle.
Suppose it subtends θ angle on the rest of the part of the circumference (at any point). Then it subtends 2θ angle on the center of that circle.
Consider the figure attached below.
We're given that:
Central angle made by arc LP is of measure 102 degreesCentral angle made by arc PN is of measure 144 degreesThus, we get the angle subtended on center by arc LMN on the center as:
[tex]\angle LON + \angle LOP + \angle PON = 360^\circ\\\angle LON = 360 - 102 - 144 = 114^\circ\\[/tex]
Thus, arc LMN subtends angle 114 on center. Therefore, it will subtend half of this angle on any part of the rest of the circumference of this circle.
Thus, we get:
[tex]\angle LPN = \dfrac{\angle LON}{2} = 114/2 = 57^\circ[/tex]
Thus, the measure of the angle LPN is 57°
Learn more about angle subtended by arc here:
https://brainly.com/question/12058177
A set of data with a mean of 62 and a standard deviation of 5.7 is normally distributed. Find the value that is +3 standard deviations from the mean.
Answer:
79.1
Step-by-step explanation:
Given that :
Mean, μ = 62
Standard deviation, σ = 5.7
The value, x that is +3 standard deviations from the mean :
x = μ + 3(σ)
x = 62 + 3(5.7)
x = 62 + 17.1
x = 79.1
If the bill for dinner at a restaurant is $65.00, what is the total bill with a 15% tip?
First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.
Second, you need to find out what 15% of your $65.00 meal cost is.This is always done by multiplying 0.15 by $65.00, or 0.15 x $65.00=$9.75.
So, the amount of tip you are going to leave is $9.75.
This makes the total cost of your meal: $65.00 + $9.75 = $74.75.
ANSWER: $74.75
What are the vertices of the resulting image abcse after a 90 counter clockwise rotation about the origin? Write each as an ordered pair.
Answer:
The answer is a rotation 90
Step-by-step explanation:
can u help me omggg jsjsj
I REALLY need help with this plzzz help 90 points for whoever answer + branliest
[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]
[tex]The \: \: answer \: \: is \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: B. \: \frac{1}{ {x}^{5} {y}^{9}}}}}} } [/tex]
Tom ordered a set of beads. Of the beads he received, 1,500 were orange and 500 were a different color. What percentage of the beads were orange?
Answer:
Orange beads percentage= 75%
Step-by-step explanation:
Giving the following information:
Of the beads he received, 1,500 were orange and 500 were a different color.
Total number of beads= 1,500 + 500= 2,000
To calculate the percentage of beads that were orange, we need to use the following formula:
Orange beads percentage= (number of orange beads / total number of beads)*100
Orange beads percentage= (1,500 / 2,000)*100
Orange beads percentage= 75%
What shape do the following Points make? (1,1),(5,2),(0,3).(3,4)*
Your answer
Answer:
I'm pretty sure it makes a trapezoid
What type of function should you use to model the scenario?
Sally drove
Linear
Exponential
O Quadratic
None of these
Answer:
I think non of these! Cuz we use the CHOOSE function to model the scenario.
Hope this helps ❤️
15. Which image replaces the question mark?
As
Answer:
B
Step-by-step explanation:
I dunno it seems like it's turned at the same degree
Find the value of x.
Answer: 150 degrees
Step-by-step explanation:
The line around the angles that measure 35 degrees shows that those are equal so both are 35 degrees. Then you add 35+35+140. You then subtract that value from 360 since a whole circle measures 360 degrees.
A furniture company produces three types of couches. The first type uses 1 foot of framing wood and 3 feet of cabinet wood. The second type uses 2 feet of framing wood and 2 feet of cabinet wood. The third type uses 2 feet of framing wood and 1 foot of cabinet wood. The profit of the three types of couches are $10, $8, and $5, respectively. The factory produces 500 couches each month of the first type, 300 of the second type, and 200 of the third type. However, this month there is a shortage of cabinet wood and the supply to the factory will have to be reduced by 600 feet, but the supply of framing wood is increased by 100 feet. How should the production of the three types of couches be adjusted to minimize the decrease in profit?
Answer:
z = 10x₁ + 8x₂ + 5x₃
Constraints are;
x₁ + 2x₂ + 2x₃ ≤ 1600
3x₁ + 2x₂ + x₃ ≤ 1700
x₁ ≥ 0
x₂ ≥ 0
x₃ ≥ 0
Step-by-step explanation:
There are three types of couches.
Let the first be x₁, second be x₂ and third be x₃.
We are told that the first type uses 1 foot of framing wood, The second type uses 2 feet of framing wood and the third type uses 2 feet of framing wood.
Thus, the first constraint will be;
x₁ + 2x₂ + 2x₃ ≤ A₁
Where A is the amount of framing wood that is available at hand.
Now, we are told that the factory produces 500 couches of the first type, 300 of the second type, and 200 of the third type each month.
Also that the framing wood is increased by 100.
Thus;
A₁ = (1(500) + 2(300) + 2(200)) + 100
A₁ = 1600
Thus,first constraint in full is;
x₁ + 2x₂ + 2x₃ ≤ 1600
For the cabinet wood, we are told that he uses 3 foot of cabinet wood, The second type uses 2 feet of cabinet wood and the third type uses 1 feet of cabinet wood.
Thus, the second constraint will be;
3x₁ + 2x₂ + x₃ ≤ A₂
Now, we are told that the factory produces 500 couches of the first type, 300 of the second type, and 200 of the third type each month.
Also that the cabinet wood is reduced by 600.
Thus;
A₂ = (3(500) + 2(300) + 1(200)) - 600
A₂ = 1700
Thus, full second constraint is;
3x₁ + 2x₂ + x₃ ≤ 1700
Now, for all these to work, x₁, x₂ and x₃ cannot be equal to or less than zero.
Thus, the third constraint is;
x₁ ≥ 0
x₂ ≥ 0
x₃ ≥ 0
We are told that the profit of the three couches are $10, $8, and $5 respectively.
Thus, the function to be maximized can be expressed as;
z = 10x₁ + 8x₂ + 5x₃
What number does x stand for in this equation? -7X + 6= 27
А 21
B 2
с -3
D -7
positive or negative thread?
please help ;-;
Answer:
Positive thread.
(It's making a positive slope.)
Ms. Charles asked her students how many minutes they spent studying for a test the night before the test was given. She found that the time students spent studying and their test scores had a positive correlation. Which scatterplot below shows this relationship?
Answer:
Option A
Step-by-step explanation:
C and D are scattered showing no pattern, Therefore, it is either A or B. I say it's not B due the the fact more studying minutes made even less test grades. So A is the only option left.
What is the approximate volume of the cone?
Use 3.14 for π.
A 1206 cm³
B 2170 cm³
C 3260 cm³
C 6510 cm³
Answer:
A. 1206 cm³
Step-by-step explanation:
We have a cone and are asked to find the approximate volume of it.
Keep in mind we are using π for 3.14
The forumla of a cone is V = πr²[tex]\frac{h}{3}[/tex]
We know the radius = 12
and the height = 8
Substitute :
V = π12²[tex]\frac{8}{3}[/tex]
Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:
V = [tex]\frac{2^4*3^2*8\pi }{3}[/tex]
Cancel the common factor - 3 :
V = [tex]2^4 * 8 * 3\pi[/tex]
Multiply 8 and 3π :
V = [tex]2^4 * 24\pi[/tex]
Solve the exponent :
V = [tex]16 * 24\pi[/tex]
Multiply :
V = [tex]384\pi[/tex]
Multiply for the final answer :
1205.76 cm³
which can be rounded up to
A. 1206 cm³
Students synthesize the material they have learned about using the volume
of a sphere formula by sorting different representations of the equation.
Student-Facing Task Statement
Some information is given about each sphere. Order them from least
volume to greatest volume. You may sketch a sphere to help you visualize if
you prefer
Sphere A: Has a radius of 4
Sphere B: Has a diameter of 6
Sphere C: Has a volume of 641
Sphere D: Has a radius double that of sphere B.
Answer:
the answer is sphere A: has a radius of4
Which one would result in an integer
Answer:
abcd
Step-by-step explanatio
еру щту ща срщыу шы еру 1ые
Answer:
b. (square root of)169= 13
Step-by-step explanation:
i hope this helps :)
Find 80% of 75 using a fraction Be sure to change the percent to a fraction in simplest form and show the steps to find 80% of 75.
Answer: 60
Step-by-step explanation:
80% = 8/10 = 4/5
4/5 * 75/1 = 300 / 5 = 60
Fill in the blank to complete the equation below__ + 81 = 9(7+9)
Answer:
63
Step-by-step explanation:
9(7+9) = 63 +81
Answer:
Hi your answer is 144 i don't how i got but it is 144
Max has a board that measures 6 feet high in length. How many 1/4-foot long pieces can Max cut from the board?
Answer:
24 pieces
Step-by-step explanation:
6 ÷ 1/4
find the inverse of x=8^y
Given that sin 71°=0.946, enter the cosine of a complementary angle
COS
O
Answer:
cos 19° = 0.946
Step-by-step explanation:
complementary angle to 71° = 19°
cos 19° = 0.946
A projectile is launched from a tower 64 feet above the ground into the air with an initial velocity of 48 feet per second. How many seconds is the projectile in the air before it hits the ground?
Answer:
I hope this helps you
Step-by-step explanation:
To define the time of flight equation, we should split the formulas into two cases:
Launching projectile from the ground (initial height = 0)
t = 2 * V₀ * sin(α) / g.
Launching projectile from some height (so initial height > 0)
t = [V₀ * sin(α) + √((V₀ * sin(α))² + 2 * g * h)] / g.
find the median and mean of 21, 0, 36, 30, 13, 32
Create an algebraic expression to represent the following situation:
Marta went the amusement park 6 times last summer. Each time she bought 15 tickets and spent $10 on parking.
Answer:
6 x (15 + $10)
Step-by-step explanation:
I am pretty sure.
Answer:
6x+15+10
Step-by-step explanation:
Who knows
What sides are the triangles and the last box says can be proven or cannot
Answer:
side side side
Step-by-step explanation:
because three sides of each triangle is equal another triangle's
What is the value of each expression?
7/8 + 4/8 :
17/25 - 9/25 :
63/46 - 81/46 :
Answer: 7/8 + 4/8 = Exact form- 11/8
Decimal form- 1.375
17/25 - 9/25 = Exact form- 8/25
Decimal form- 0.32
63/46 - 81/46 = Exact form- -9/23
Step-by-step explanation: Hope this helped.
Someone help The question is to find the volume of the cylinder in terms of pi. The formula for Volume is V=pi*R^2*H right? Radius is 3.4m and the height is 11m So i got 399... Around but none of those are the answer choices i know when questions ask in terms of pi, i always get confused can anyone help me please?! A.) 127.16 B.) 74.8 C.) 432.34 D.) 63.58 P.S - pi is after each answer
Answer:
A.) 127.16π
Step-by-step explanation:
Volume of a cylinder = πr²h
Radius, r = 3.4m
Height, h = 11m
Pi = π
Find the volume in terms of pi
Volume of a cylinder = πr²h
= π * (3.4)² * 11
= π * 11.56 * 11
= 127.16π³
The correct answer is
A.) 127.16π
help pls will give brainliest and 30 pts
Answer:
5=56°
Step-by-step explanation:
What are the x-intercepts of the graph of f(x) = (2x-1)(2x-5)? Show your work.
Answer:
Step-by-step explanation:
The x intercepts are obtained by equating the factors to zero.
2x - 1 = 0
2x = 1
x = 1/2
2x - 5 = 0
2x = 5
x = 5/2
x = 2 1/2 or 2.5
The graph of f(x) = (2x -1)*(2x - 5) is given below. The x intercepts are labeled.