Answers
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
(Hypotenuse)² = (Adjacent)² + (Opposite)²(PR)² = (QR)² + (PQ)² (5x - 2)² = (QR)² + (3x - 1)² (QR)² = (5x - 2)² - (3x - 1)²After factorising both of them we get
(QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)(QR)² = 25x² - 20x + 4 - 9x² + 6x - 1(QR)² = 16x² - 14x + 3QR = √(16x² - 14x + 3)So, QR is √(16x² - 14x + 3)
Related Questions
Do the following tasks by the help of STATA software. You need to devote first 30 minutes of your time for these tasks.
a) Use auto.dta which is an example dataset for this question.
The study claims that average price of foreign cars is more than average price of domestic cars. Check validity of this claim by using dataset. Explain and mention all steps that are necessary for decision. (4 points)
b) Use nlsw88.dta. Find the standard deviation, the mean and the number of observation of age variable (age) for the people who work less than 32 hours (hours variable) or wage is greater than 10. (4 points)
c) Open example datasets that we have in the memory of STATA and choose “lifeexp.dta”. Find the standard deviation, the mean and the number of observation of safewater variable (safewater) for the countries with GNP variable (gnppc) greater than 5000 and life expectancy (lexp) is greater than 55. (4 points)
d) Open example datasets that we have in the memory of STATA and choose “lifeexp.dta”. We have 6 different variables in this dataset. Which variable has string values? Which STATA command is used in order to find the string values in dataset? What are the effects of large amount of string values in dataset?
Answers
4.
Which of the following equations describes the graph?
A. y = 1/2x^2 - x + 2
B. y = 1/3x^2 - x - 2
C. y = -1/2x^2 - x - 2
D. y = 1/3x^2 - x + 2
Answers
Answer: The answer is NOT letter B or letter C
D. y = 1/3x^2 - x + 2
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: ( 3 /2 , 5 /4 )
Focus: ( 3 /2 , 2 )
Axis of Symmetry: x = 3 /2
Directrix: y = 1 /2
x y
0 2
1 4 /3
3 /2 5 /4
3 2
4 10 /3
What is 60 percent of 92?
1.53
5.52
15.3
55.2
Answers
Answer:
[Fourth Option] 55.2
Step-by-step explanation:
60% -> 0.6
0.6 * 92 = 55.2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
(D) 55.2
Step-by-step explanation:
Identify the graph that matches the piecewise function
Answers
What is the prime factorization of 72?
A. 1 x 2 x 4 x 9
B. 2^2 x 3^2
C. 2^2 x 3^3
D. 2^3 x 3^2
Answers
Answer:
the prime factorization of 72 is : 2 × 2 × 2 × 3 × 3 =
Step-by-step explanation:
There are 350 students graduating on Sunday. 84% of the students are graduating with Bachelor’s degree in Business. How many students are getting their Bachelor's degree in Business?
Answers
Answer:
294 students
Step-by-step explanation:
To find percentage, convert the percent to a decimal and multiple the total number of students
80% --> 0.8
350*0.8 = 294 students
9514 1404 393
Answer:
294
Step-by-step explanation:
84% of 350 is ...
0.84 × 350 = 294
294 students are getting their Bachelor's degree in Business.
__
Additional comment
If your calculator does not have a % key, you can perform the multiplication by converting the percentage to a decimal or using it as a fraction. The % symbol is interchangeable with /100, so 84% = 84/100. Of course, this is eighty-four hundredths, which can also be written 0.84.
Any spreadsheet will accept direct input of numbers with an attached % symbol, so you can use one of those for this calculation, also.
i need some help here plzzzzzzzzzz
NO LINKS!!!!!!
Answers
Answer:
I'm pretty sure it's A,B, and D.
Step-by-step explanation:
Melanie read 52 pages in 1 hours. If she continues reading at the same rate, how
many pages will she read in an hour?
Answers
If she read 52 pages in one hour, then she'll continue at a rate of 52 pages per hour.
Answer:
52 pages
Step-by-step explanation:
Since she reads 52 pages in 1 hour we multiply 52 by the amount of hours she reads.
52 pages times 1 hour equals 52 pages.
52 x 1 = 52
What is the equation of the line in slop-intercept form?
Enter your answer in the blank spots
y= __x + __
Answers
Answer: i think its 4 -4 or 4 and 8
Step-by-step explanation: sorry if imma wrong
Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)
Answers
Hope this helped you!! :)
Guys I really need some help with this one!
If anybody could help me out here I would be incredibly grateful! (Simple algebra problem involving functions)
Answers
Answer:
f( 1 ) = 3
Step-by-step explanation:
Given the linear function, f(x) = -4x + 7, we could easily find f( 1 ) by substituting the value of the input, x = 1, into the function.
f(x) = -4x + 7
f( 1 ) = -4( 1 ) + 7
f( 1 ) = -4 + 7
f( 1 ) = 3
Therefore, the output value is f( 1 ) = 3.
(2/3a - 5) - (1/3a + 3) simplify
Answers
Answer:
i have no idea mate
Hey there!
(2/3a - 5) - (1/3a + 3)
= 2/3a - 5 - 1/3a + 3
COMBINE the LIKE TERMS
= (2/3a - 1/3a) - ( -5 + 3)
= 1/3a - 2
Therefore, your answer should be: 1/3a - 2
OR
According to the food label on a box cookies, each box has 16
servings and each sering contains 4 cookies. The weight of the
ba of cookies is Kilogroms. What is the weight of each
cooke?
Answers
I cant help you but I can give you the equation: 16 x 4 x weight per cookie = answer
Step-by-step explanation:
did you forget to write the whole question?
Solve x
2/x -2 = 3/2x+3
Answers
Answer:
since we don't have to go back in and you can come over you
If you mean 2/(x-2)= 3/(2x+3) then its -12
A pattern has 6 blue triangles to every 42 yellow triangles. What is the ratio in lowest form of yellow triangles to blue triangles?
Answers
Answer:
7:1
Step-by-step explanation:
The original ratio was 6:42. To simplify this, we can find the greatest common factor for 6 and 42 by listing out their factors.
6: 1, 2, 3, 6
42: 1, 2, 3, 6, 7, 14, 21, 42
6 is the greatest common factor they share. We now need to divide each side by this number. This leaves us with 1:7. Since they want us to write the ratio in yellow triangles to blue triangles instead of blue triangles to yellow, we just need to flip the ratio to 7:1.
What is the surface of this shape
Answers
Answer:
Find the area of all of the different shapes (2D)
and then add them up together to find the surface area.
3×2
6×2
6×2
5×3
6×3
1×3
1×4
1×4
4×3
Then you add them up together.
6+12+12+15+18+3+4+4+12=ANS.
What the answer is please
Answers
Answer:its the first one
Step-by-step explanation:
becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.
Two cars are driving towards an intersection from perpendicular directions. The first car's velocity is 10 meters per second and the second car's velocity is 6 meters per second. At a certain instant, the first car is 4 meters from the intersection and the second car is 3 meters from the intersection. What is the rate of change of the distance between the cars at that instant (in meters per second)?
Answers
Answer:
use: E = P x t
Step-by-step explanation:
E = energy = J
P = power = W
t = time = s
One x-intercept for a parabola is at the point (-0.4,0). Use the quadratic formula to find the other x-intercept for the parabola defined by this equation: y = 5x2 + 7x + 2 Separate the values with a comma. Round, if necessary, to the nearest hundredth.
Answers
Answer:
-1
Step-by-step explanation:
Set y=0.
[tex]5 {x}^{2} + 7x + 2 = 0 \\ x = \frac{ - 7± \sqrt{ {7}^{2} - 4(5)(2)} }{2(5)} \\ x = \frac{ - 7± \sqrt{ 9} }{10} \\ x = \frac{ - 7±3}{10} \\ x = - \frac{2}{5} \: \: \: \: or \: \: \: \: - 1[/tex]
The x-intercepts are - 0.4 and - 1.
The other x-intercept is - 1.
Answer: 1,0
Step-by-step explanation:
If Jaime wants to find 60% of 320, which table should he use?
A 2-column table with 11 rows. Column 1 has entries 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, blank, blank, blank, blank, blank, blank, Total blank.
A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, Total blank.
A 2-column table with 4 rows. Column 1 has entries 30 percent, 30 percent, 30 percent, Total 100 percent. Column 2 has entries blank, blank, blank, Total blank.
A 2-column table with 3 rows. Column 1 has entries 50 percent, 50 percent, Total 100 percent. Column 2 has entries blank, blank, Total blank.
Answers
Answer: The answer is A. Six 10% and total 100% (I hope ya'll understand what I'm saying)
Answer:
it is A
Step-by-step explanation:
just finished
what is the largest number you can make with these digits ? 2 5 9 6 answer _____________
Answers
Hello, hope you are having a splendiferous day.
Here are the numbers you can make with these 4 digits:
2596
6952
2965
5629
And so on.
However, the largest number we can make using these digits is
9652
Hope it helps. Glad to help.
Ask me if you have any queries.
Carry On Learning
~An emotional teen who helps others with joy
Good luck.
Unitary method
A car can cover a distance of 240 km in 4 hours.
i) Find the speed of the car in km per hour.
ii) How many kilometers does it cover with the same speed in 7 hours?
(Explain with process)
Answers
Answer:
60 kilometers per hour.
420 kilometers will be covered
Step-by-step explanation:
speed = distance ÷ time.
so 60kmh = 240km divided by 4 Hours
60km = 1 Hour of distance
240km = 4 Hours of distance
Therefore 60 x 3 hour is 180km added to 240 is 420km. So in 7 hours traveling 60 kilometers per hour the will cover 420kms.
Convert 95°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=- (F-32)
-F
9
F==C+32
Answers
Answer:
35 degrees celsius
Adrienne biked 24 miles in 5 1/2 hours. If she biked at a constant speed, how many miles did she ride in one hour?
1. How can you solve this?
Answers
Answer:
4.36
Step-by-step explanation:
dividing the amount of hours by how many miles Adrienne went will give you how many miles she went per hour.
Equation:
a÷b
a=24
b=5.5 (5 1/2)
24÷5.5=4.36
The value of the function f(x) = 5x +7 at 3 is
Answers
Answer:
22
Step-by-step explanation:
Substitute x = 3 into f(x) , that is
f(3) = 5(3) + 7 = 15 + 7 = 22
draw a diagram for this fraction
7/2
Answers
Answer:
You can't draw a diagram for a improper
fraction
Ali has q quarters. Tom has four more quarters than Ali.
Drag and drop the expressions into the boxes to write an expression that represents the number of quarters Ali and Tom have together.
Response area + Response area
Answers
Answer: x(.25)+(4+x(.25))=y
Step-by-step explanation:
1. set up the equation-
Ali has an unknown amount of quarters so make that x.
We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on
Tom has 4 more, since he has 4 more it is 4+x and one again times .25
2. that is it
Can someone answer this for me?
Thanks!
Answers
Hiii :))
Answer is in the attachment.
Identity used :-
1) cosec² α = 1 + cot² α
Trigonometric Ratio :-
1) cot 30° = √3
_____
Reddam is an expensive school, right?
RainbowSalt2222 ☔
Answer:
hello :-D
Step-by-step explanation:
what would be the volume of the cone that has the same measurement as the cylinder above in the pic
do the working also
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Volume of cone will be ~
[tex]\fbox \colorbox{black}{ \colorbox{white}{volume} \: \: \: \: \: \colorbox{white}{=} \: \: \: + \colorbox{white}{462 \: cm³ }}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's find the volume of cone with ~
radius (r) = 7 cmheight (h) = 9 cmAnd as we know, volume of cone is equal to ~
[tex] \dfrac{1}{3}\pi {r}^{2} h[/tex]now, let's plug in the values and find the volume ~
[tex] \dfrac{1}{ \cancel{3} }\times \dfrac{22}{\cancel{7}} \times \cancel{7 }\times 7 \times \cancel{9}[/tex][tex]1 \times 22 \times 7 \times 3[/tex][tex]462 \: \: {cm}^{3} [/tex]Volume of cone is 462 cm³ = 462 ml
Maya is helping a gardener plant 300 bulbs. They plant 20% of the bulbs on Monday and 30% of the bulbs on Tuesday. Maya says this means they have planted 50 bulbs so far. Label and shade the model. Then use your model to explain why Maya's statement is not reasonable.
Answers
Answer:
because the total is 300 not 100 so 50 is not reasonable because that is the percentage they planted and since it is more than 100 then it should be a percent of 300 not 100. Maya is wrong about placing 50 bulbs instead they placed 150.
Step-by-step explanation: