Answers
Apply Thales theorem
[tex]\\ \rm\rightarrowtail \dfrac{MR}{RN}=\dfrac{MQ}{QP}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{10}{RN}=\dfrac{8}{5}[/tex]
[tex]\\ \rm\rightarrowtail 8RN=50[/tex]
[tex]\\ \rm\rightarrowtail RN=50/8[/tex]
[tex]\\ \rm\rightarrowtail RN=6.25[/tex]
Answer:
RN = 6.25
Step-by-step explanation:
Triangle Proportionality Theorem: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
Therefore,
MQ : MP = MR : MN
⇒ 8 : (8 + 5) = 10 : (10 + RN)
⇒ 8 : 13 = 10 : (10 + RN)
⇒ [tex]\sf\dfrac{8}{13}=\dfrac{10}{10+RN}[/tex]
Cross multiply and solve:
⇒ 8(10 + RN) = 10 × 13
⇒ 80 + 8RN = 130
⇒ 8RN = 130 - 80
⇒ 8RN = 50
⇒ RN = 50 ÷ 8
⇒ RN = 6.25
Related Questions
The fuel tank of chris new lawn mower holds 1/2 gallon of gasoline chris poured 0.4 gallons into the tank did chris fill the tank explain?
Answers
draw a diagram and explain how you can use it to find 3 ÷ 1/5
Answers
Answer:
3/1/5
3×5/1
15/1
15 you don't need diagram
7. Frank wants to paint his room in the school colors of maroon and white. The floor and
ceiling will be white, and all the walls will be maroon. The door will also be white. If one
gallon of paint covers 400 sq ft, how many gallons of each color will he need?
A. 1 gallon white, 1 gallon maroon
B. 1gallon white, 2 gallons maroon
C. 2 gallons white, 2 gallons maroon
D. 2 gallons white, 3 gallons maroon
10 ft
3 ft
7 ftlo
12 ft
12 ft
Answers
Frank would need two gallons of maroon painting and one gallon of white painting to paint all his room.
How much white painting is required?Area of the ceiling:
12 feet x 12 feet = 144 squared feetAssuming the floor has the same area, the total area for the floor and ceiling is 288 square feet.
Area of the door:
3 feet x 7 feet = 21 feetTotal area in white 144 feet + 21 feet = 165 square feet
Total of gallons
1 gallon equals 400 square feet, which means only one gallon of white painting is required.
How much maroon painting is required?Area of one wall:
12 feet x 10 feet = 120 feet120 feet x 4 walls = 480 square feet480 square feet - 21 feet (door) = 459 square feetConsidering 1 gallon equals 400 square feet, a total of 2 gallons would be required.
Note: This question is incomplete because the image of the room is missing; below I attach the missing section.
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List and describe the characteristics of a perfectly competitive market.
Answers
A market system with perfect competition is one in which there are several buyers and sellers interacting with the same goods.
A perfectly competitive market structure is widely found a market in the Indian economy. This market often accepts prices as a single seller cannot change the market price in the economy. Together with other characteristics, this trait sets this market apart from other types of markets.
Let's discuss the characteristics of the perfectly competitive market in detail which are as follows:
1. Large number of buyers and sellers- A commodity has a high number of buyers and sellers when there is ideal competition. Because there are so many customers, each one only purchases a very little portion of the available supply.
2. Homogeneous Products- Products in this market are homogenous in nature which means the products are identical in nature. This suggests that each company's output, in terms of quantity, quality, colour, size, features, etc., is a perfect substitute for the work of the others. This suggests that consumers don't care about what different companies produce.
3. Free entry and exit of firms- In the economy, there are 2 periods: long run and short run. In the long run, there is completely free entry and exit of firms while in the short run, some factors may contribute to the obstruction of entry and exit of firms. This guarantees that all businesses will ultimately make a regular profit or no economic profit, which evaluates the opportunity cost of the business to either continue operating or close.
4. Perfect Knowledge- In this market structure both the sellers and buyers have perfect knowledge of the market factors like price prevailing in the market because of this feature no seller can charge a higher price in the market to any customer.
5. No transportation cost- The products sold in this market structure are generally sold locally so there incur no transportation cost. Also because the same price is prevailing in the market sellers not require to transport anything.
6. No promotion cost- Homogeneous product is sold and uniform prices prevail so the sellers do not need to incur any selling cost like advterisemt for such a product. So the promotional cost incurred by firms is zero.
7. Price Taker- Firms are generally price takers in this structure of the market as sellers cannot influence the price of the goods so they need to accept the price that is prevailing in the market.
8. Perfect mobility of factors of production- Factors of production like Land, Labour and Capital are perfectly mobile in this market structure. These factors can freely move in and out of industry making demand and supply equal to each other.
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Given the function
[tex]f(x) = (x + 4){(x - 2)}^{2} [/tex]
Determine the end behavior of the graph of the function. Show all/any work
Answers
[tex]lim \: f(x) = ( \infty + 4)( \infty - 2) {}^{2} \\ x - > \infty [/tex]
[tex]lim \: f(x) = \infty \times \infty \\ x - > \infty [/tex]
[tex]lim \: f(x)= \infty \\ x - > \infty [/tex]
[tex]lim \: \frac{f(x)}{x} = \frac{x(1 - \frac{4}{x})(x - 2) {}^{2} }{x} \\ x - > \infty [/tex]
[tex]lim \: \frac{f(x)}{x} = (1)( \infty - 2) {}^{2} \\ x - > \infty [/tex]
[tex]lim \: \frac{f(x)}{x} = \infty \\ x - > \infty [/tex]
We can then say that the function f(x)=(x-4)(x-2)² admits an asymptotic direction parallel to the y-axis at +∞ and -∞ as well since we have to follow the same steps.
There are caterpillars in two greenhouses. Greenhouse A has 4 times the number of caterpillars Greenhouse B has. A bird came into the two greenhouses and devoured many caterpillars. After the bird ate 41 caterpillars in Greenhouse A and 5 caterpillars in Greenhouse B, both greenhouses have the same number of caterpillars. How many caterpillars did Greenhouse A have in the first place?
Answers
there will be your 1000 caterpillars
Answer:
12
Step-by-step explanation:
4a = b and A-41=b-5
a-41+5=b
a-36 =b
which means a+36 =4a
so 3a=36 and a=12
What is the value of x?
13 m
15 m
Answers
Answer:
which one?
Step-by-step explanation:
If 24% of the Skittles in the bag are red, what percentage of the Skittles are not red?
Answers
Answer:
76%
Step-by-step explanation:
Given:
If 24% of the Skittles in the bag are red, what percentage of the Skittles are not red?
Solve:
Percent - Out of 100
100 - 24 = 76
Hence, 76% of the skittles are not red.
~~Lenvy~~
Answer:
76% are not red
Formula:
(Total Skittle %)-(Red Skittle %)=(Non-Red Skittle %)
Work:
100%-24%=76%
Working alone, Mr. Tough can grade the final exams in 12 hours. His assistant, Mrs. Nice, cam grade the same exams in 15 hours. What fraction of the exams can Mr.Tough and Mrs.Nice grade in 1 hour if they work together?
Answers
Answer:
9n/60
Step-by-step explanation:
add 1/12 + 1/15 which = 5/60 + 4/60.
= 9/60
YAY!!!!!!!
The fraction of the exams that Mr Tough and Mrs Nice grade in 1 hour if they work together is 3/20
What are fractions?In Maths, a fraction is used to represent the portion/part of the whole thing. A fraction has two parts, namely numerator and denominator. There are proper fractions, improper fractions and mixed fractions.
Example: 2/5, 1/4 etc.
How to solve Work and Time problems:We will this equation,
rate × time = work done
For this problem:
Mr Tough's rate:
Mr Tough's rate × 12 hours = final exam
Mr Tough's rate = 1/12
Mrs.Nice's' rate:
Mrs .Nice's' rate × 15 hours = final exam
Mrs .Nice's' rate = 1/15
To make this into a solvable equation, find the total time (T) needed for Mr Tough and Mrs.Nice to grade the final exam. This time is the sum of the rates of Mr Tough and Mrs.Nicea, or:
Total time:
T(1/12 hours + 1/15 hours) = final exam
T = final exam / (1/12 + 1/15)
Simplifying we get,
T = final exam / (0.15)
Now, to finish in 1 hour we will find what fraction of the final exam they can grade, so taking T = 1 hour,
1 hour = final exam / (0.15)
By further simplifying,
final exam = 1 × 0.15
= 0.15
= 15/ 100
= 3/20
Therefore, 3/20 fraction of the final exam they can grade if they work together for 1 hour.
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Need help with this geometric question ASAP, Thank you
Answers
Select the correct answer from each drop-down menu.
On the day the link was emailed, trailer
Two days after the link was emailed, trailer
Four days after the link was emailed, trailer
had the most views.
had the most views.
had the most views.
Answers
Answer:
k
[tex]2xyy15 { { \div - \\ \sqrt[ {x. - - {?}^{?} }^{2} ]{?} }^{2} }^{2} [/tex]
Answer:
On the day the link was emailed, trailer
A
had the most views.
Two days after the link was emailed, trailer
A
had the most views.
Four days after the link was emailed, trailer
B
had the most views.
Step-by-step explanation:
The total number of views on the day the email was sent, two days later, and four days later are represented by the values of the functions when x = 0, 2, and 4.
Substitute these values into the equation:
Find these values in the table:
Apply the described rule:
So, on the day the link was emailed, trailer A had the most views.
Two days after the link was emailed, trailer A had the most views.
Four days after the link was emailed, trailer B had the most views.
HELLPPPP REALLLLYYY NEEDDD
THISS ANSWER
Answers
Answer:
we need a picture to help
Step-by-step explanation:
Answer:
what is the question man stop messing around
Answer the questions below about the quadratic function. g(x)=-2x^2+16x-31
Answers
Answer:
Hope it helps!!!Brainliest pls!!!
Show how you got the answer, giving brainliest :)
Answers
Answer:
Step-by-step explanation:
Volume of a rectangular prism: l*w*hVolume of a triangular prism: 1/2*b*h*lFor the rectangular prism:
L (length) = 5 cmW (width) = 8 cmH (height) = 3 cmV = l*w*h <== substitute the values (from above) for the variables
V = 5*8*3
V = 40*3
V = 120 cm^3 (cubed)
For the triangular prism:
B (base) = 6 cmH (height) = 3 cmL (length) = 2 cmV = 1/2*b*h*l <== substitute the values (from above) for the variables
V = 1/2*6*3*2
V = 3*3*2
V = 9*2
V = 18 cm^3 (cubed)
Hope helps!
Find the question. 1/3 +(5/7)=
Answers
Answer:
22/21
Step-by-step explanation:
1/3 + 5/7
LCM of 3,7 = 3 x 7 = 21
1/3
= 1/3 x 7/7
= ( 1 x 7 )/( 3 x 7 )
= 7/21
5/7
= 5/7 x 3/3
= ( 5 x 3 )/( 7 x 3 )
= 15/21
1/3 + 5/7
= 7/21 + 15/21
= ( 7 + 15 )/21
= 22/21
Mrs. Lennon has 100/275/50 liability insurance and $50,000 PIP (Personal Injury Protection) insurance. During an ice storm, she hits a fence and bounces into a store front with 11 people inside. Some are hurt and sue her. A passenger in Mrs. Lennon’s car is also hurt. A) The store front will cost $24,000 to replace. There was $1,450 worth of damage to the fence. What insurance will cover this, and how much will the company pay? B) The passenger in the car had medical bills totaling $20,000. What type of insurance covers this, and how much will the insurance company pay?
Answers
The property damage will convert the insurance regarding the damage and the insurance company will pay $25450.
How to compute the insurance?From the question, the store front will cost $24,000 to replace and there was $1,450 worth of damage to the fence.
The amount paid by the insurance company will be:
= $24000 + $1450
= $25450
When the passenger in the car had medical bills totaling $20,000, the PIP insurance will cover this and the company will pay $20000.
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If z varies directly with the square of x and inversely with the cube of y, when x = 8, y = 2, and z = 12, what is x when y = 1 and z = 24?
PLEASE HELP!!! :))))
Answers
Step-by-step explanation:
it just means
z = k×x²/y³
12 = k×8²/2³ = k×64/8 = k×8
k = 12/8 = 3/2
24 = k×x²/1³ = 3/2 × x²/1 = 3/2 × x²
24/(3/2) = x²
48/3 = x²
16 = x²
x = 4 or
x = -4
Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. How many slices of pears does she have to share with her teammates? Which equations can you use to solve the problem? Select two equations.
A. 5 × 3 = 15
B. 1/5 × 1/3= 1 /15
C. 1/5 × 3 = 3/5
D. 5 ÷ 1/3 =15
E. 1/3 ÷ 5 = 1/15
Answers
Answer :D
A (or) 5 * 3= 15
Question explanation:
5 pears.
3 pieces
[tex](1 * 3) + (1 * 3) + (1 * 3) + (1 * 3) + (1 * 3)[/tex]
Which is:
[tex](3) * (3) * (3) * (3) * (3)[/tex]
Which, simplified:
[tex]3 * 5[/tex]
Which equals:
[tex]3 * 5 = 15[/tex]
Hope this helps :) - Answered by Lilo
which one is greater 7 pounds or 70 ounces
Answers
Answer:
7 pounds is greater
Step-by-step explanation:
1 lb = 16 oz
7 lb = 112 oz
70 oz is 70 oz
Answer:
7 pounds is greater
Step-by-step explanation:
1 lb = 16 oz
7 lb = 112 oz
70 oz is 70 oz
You should be able to figure out the answer
You randomly choose one of the morales.Without replacing the first marble, you choose a second marble. What is the probability of choosing red and then green?
P(Red and green)=1/4*1/4=1/16
(I really need help)
Answers
P(A and B) = P(A) x P(B after A)
Choose the first marble
The total number of hypothetical marbles are, hypothetically speaking, 4 on a hypothetical basis, and there is one red marble.
P(red)=1/4
Choose the second marble
Without hypothetically replacing the hypothetical first marble, you choose the hypothetical marble, hypothetically speaking. So, the total hypothetical number of marbles are, hypothetically, 3, and there is, hypothetically, one green marble.
P(green) = 1/3
The probability of choosing red and then, hypothetically, green is:
P(red and green) = P(red) x P(green)
=1/4 x 1/3
= 1/12
P(red and green) is hypothetically equal to 1/12 on a hypothetical account.
Final hypothetical answer: 1/12
A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If
x machines are made, then the unit cost is given by the function C(x) = 0.5x^2- 150x +20,960. How many machines must be made to minimize the unit cost?
Do not round your answer.
Answers
The supply equation of the company is an illustration of a quadratic function
The number of machines that must be made to minimize the unit cost is 150
How to determine the number of units?The equation of the function is given as:
[tex]C(x) = 0.5x^2- 150x +20960[/tex]
Differentiate the function
[tex]C'(x) = x - 150[/tex]
Set to 0
[tex]x - 150 = 0[/tex]
Add 150 to both sides of the equation
[tex]x = 150[/tex]
Hence, the number of machines that must be made to minimize the unit cost is 150
Read more about quadratic functions at:
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Find the length of the diagonal.
Answers
Answer:
D. 34 in
Step-by-step explanation:
You are given the formula for the diagonal in terms of the edge lengths of the cuboid. To find the diagonal, use the given numbers in the given formula.
Diagonal = √((24 in)² +(18 in)² +(16 in)²) = √(576 +324 +256) in = √1156 in
Diagonal = 34 in
Jason drew a square with a side length of 8 cm. and Bella drew a rhombus with a side length of 8 cm. Jason says the perimeter of the square is smaller than the perimeter of the rhombus. Bella says they have the same perimeter. Which of them is correct and why? A. Jason is correct because a square is always smaller than a rhombus. B. Bella is correct because the rhombus and square have equal side lengths. C. Jason is correct because a square has fewer sides than a rhombus. D. Bella is correct because a square is half the perimeter of the rhombus. 5 / 18 4 of 18 Answered
Answers
Answer:
B
Step-by-step explanation:
to find the perimeter of a square its side*number of sides
which would be 8*4
to find the perimeter of a rhombus its 4*side length
which would be 4*8
therefore, its b they both have the same perimeter
Write the equation in standard form for the circle with center (0, -3) passing through (15/2 , 1)
Answers
Check the picture below, so the green line is really the radius of the circle, and we know its center.
[tex]~~~~~~~~~~~~\textit{distance between 2 points}\\\\(\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad(\stackrel{x_2}{\frac{15}{2}}~,~\stackrel{y_2}{1})\qquad \qquadd = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\\stackrel{radius}{r}=\sqrt{[\frac{15}{2} - 0]^2 + [1 - (-3)]^2}\implies r=\sqrt{\left( \frac{15}{2} \right)^2 + (1+3)^2}\\\\\\r=\sqrt{\left( \frac{15}{2} \right)^2 +4^2}\implies r=\sqrt{\frac{225}{4} + 16}\implies r=\sqrt{\cfrac{289}{4}}\implies r=\cfrac{17}{2}\\\\[-0.35em]\rule{34em}{0.25pt}[/tex]
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{0}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{\frac{17}{2}}{ r} \\\\\\\ [x-0]^2~~ + ~~[y-(-3)]^2~~ = ~~\left( \cfrac{17}{2} \right)^2\implies x^2+(y+3)^2 = \cfrac{289}{4}[/tex]
Towns Kand L are shown on a map.
N
a) Work out the actual distance
between towns Kand L.
b) A third town, M, is 150 km due
South of town K.
Mark M on the map with X.
c) Measure the bearing of town L
from town K.
Scale: 1 cm represents 50 km
Answers
Woody has a lasso is 11ft long. No peep has a lasso that is 23ft longer than wordy how long is no peep lasso
Answers
Answer:
Bo Peep's lasso is 34ft long.
Step-by-step explanation:
Simply add 11 to 23.
Hope that helps!
Answer:
no peep lasso: 34ft
Step-by-step explanation:
11 + 23 = 34
the box plot shoes the lengths of the songs on two digital music players
Answers
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Put the following investment options in order of least to greatest risk:
starting a business
B-rated bond
speculative stock
property
Answers
The order of investment options from least to greatest risk is:
B rated bond.Property.Speculative stock. Starting a business. How risky are some investment options?A B rated bond is considered safer than the rest because there is a high chance that the owners of the bond will redeem it. Property is not very risky but can be susceptible to market shocks.
Speculative stock is the third riskiest because its prices are prone to fluctuation. Starting a business is by far the riskiest because a lot of new businesses fail.
Find out more on risky investments at https://brainly.com/question/25219850.
Answer:
B-rated bond
property
starting a business
speculative stock
Step-by-step explanation:
WILL MARK BRAINLIEST
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y-6= -5(x-3)
Answers
y - 6 = - 5 * x - 5 * (-3)
y - 6 = -5x + 15
y + 5x = 15 + 6
5x + y = 21
Answer:
5x + y = 21.
Step-by-step explanation:
y - 6 = -5(x - 3)
y - 6 = -5x + 15
5x + y - 6 = 15
5x + y = 15 + 6
5x + y = 21.
Solve the equation, 3x – 6 = 12, for x. Which of the following properties did you apply? Question 2 options: A) Addition property of equality and multiplication property of equality B) Addition property of equality and division property of equality C) Distributive property, subtraction property of equality, and multiplication property of equality D) Distributive property, addition property of equality, and division property of equality