Answers
Answer:
4√2 cm
Step-by-step explanation:
ABCD is a square.
Each side measures 8 cm.
So,
AB = BC = CD = AD = 8 cm
P, Q, R, and S are mid - points of ABCD.
P is the mid - point of AB.
So,
AP = PB
AP + PB = AB
AP + AP = AB
2AP = 8
AP = 8 / 2
AP = 4 cm
S id the mid - point of AD.
So,
DS = SA
DS + SA = AD
SA + SA = AD
2SA = 8
SA = 8 / 2
SA = 4 cm
Property of a square : The angle between two sides is 90°.
So,
The angle between side SA and AP is 90°.
So,
SA, AP and SP forms a right angled triangles.
By Pythagoras theorem,
( SP)² = ( SA )² + ( AP )²
( SP )² = 4² + 4²
= 16 + 16
( SP )² = 32
SP = √32
SP = 4√2 cm
Since PQRS is also a square.
In square, all sides are equal.
So,
PQ = QR = RS = SP
Since SP = 4√2 cm
Hence,
PQ = 4√2 cm
Therefore,
the length of PQ is 4√2 cm.
Answer: 5.7
Step-by-step explanation:
Midpoint means the middle of line. So to find the middle of the line I just need to divide the line by 2.
So the midpoint of AB is:
8/2=4 = BP
Since Q is also a midpoint so BQ is equal to 4.
We know BP=BQ=4. Looking at the diagram we can tell PBQ is a triangle.
The hypotenuse of the triangle is PQ.
Pythagoras's theorem helps us to find the hypotenuse. So we just plug in the values to find PQ.
P's Theorem : a²+b²=c²
basically in the case of this question it means:
(BP)²+(BQ)²=(PQ)²
now we just subsiture the values and solve for PQ:
4²+4²=(PQ)²
16+16=(PQ)²
32=(PQ)²
PQ=5.65...
= 5.7(rounded to one decimal place)
Related Questions
4/9 7/21 change to percent
Answers
Answer:
Hi there, your answers here are 44% and 33%.
To convert 4/9 to a percent, first we can write it as a decimal - 0.44444444444. To get this decimal, we divide 4 by 9. Then, we multiply this decimal by 100 to get 44.4444444444, or roughly 44%.
To convert 7/21 to a percent, first we can write it as a decimal - 0.33333333333. To get this decimal, we divide 7 by 21. Then, we multiply this decimal by 100 to get 33.3333333333, or roughly 33%.
Darren got 42 out of 56 questions correct on a test. What percent of the questions did he get correct?
Answers
Answer:
75%
42/56 = 42/56
Convert to decimal form:
42÷56 = 0.75
= 75%
Can you mark as brainliest if its right?
Answer:
75%
Step-by-step explanation:
42/56 = 0.75 = 75%
Find the slope of the line that passes through 9,7 and 6,15
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Let's find the slope considering the points (9 , 7) and (6 , 15)
[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \sf \dfrac{15 - 7}{6 - 9} [/tex][tex] \sf \dfrac{8}{ - 3} [/tex][tex] - \dfrac{8}{3} [/tex]what is x/-4 = -20 how do i sole for x
Answers
Answer:
x = 80
Step-by-step explanation:
Reverse your division by using multiplication:
x/-4 = -20
-4 x -20 = 80
The formula to find the area of a triangle is A = { bh where b=base and h=height. Rearrange the
equation to highlight b, the base of the triangle, in terms of the area and height.
Answers
Answer:
A=B+H
Step-by-step explanation:
I rearange the letters and also I put a plus singe
just do one if u want
Answers
Answer:
whats the question i can't really see it
Step-by-step explanation:
Is 24 the correct LCD to use for subtracting 6 3/4 - 1 2/6 ? Why or why not?
In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example.
Subtract and reduce to lowest terms: 9/10 - 3/10.
PLEASE HELP ASAP
Answers
Answer:
Step-by-step explanation:
A
No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.
B
Factor each number into it's primes.
24 = 2*2*2*3
32 = 2*2*2*2*2
The highest common factor is 2*2*2 = 8
C
9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.
6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2
Un padre preocupado por motivar a su hijo en Matemáticas, se compromete a darle 1 euro por problema bien hecho, mientras que, si esta mal, el hijo le devolverá 0,5 euros. Después de realizar 60 problemas, el hijo ganó 30 euros. ¿Cuántos problemas resolvió correctamente?
Answers
Answer:
good morning I have any questions or need anything from the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer
The son solved 40 problems correctly out of the 60 problems he attempted.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's denote the number of problems the son solved correctly by "x".
According to the problem, for each correct problem, the son earns 1 euro, and for each incorrect problem, he loses 0.5 euros.
Now,
Total earnings = 1 euro (x) - 0.5 euros (60 - x)
Simplifying this expression.
Total earnings = 1.5x - 30
We are given that the son won 30 euros in total, so we can set up the equation:
30 = 1.5x - 30
Solving for x.
1.5x = 60
x = 40
Therefore,
The son solved 40 problems correctly out of the 60 problems he attempted.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
The complete question.
A father concerned about motivating his son in Mathematics agrees to give him 1 euro for a problem well done, while if it is wrong, the son will return 0.5 euros. After doing 60 problems, the son won 30 euros. How many problems did you solve correctly?
HELP PLEASE FOR BRAINLIST!!!!!!!!!!!!
Answers
Answer:
a(x) and d(x)
hope that helps, have a good day!
dont forget my brainliest.
Step-by-step explanation:
100 points!!!!!!!!!!!!
Answers
Answer:
a)
Step-by-step explanation:
Answer: pretty sure it's d but I could be wrong
Step-by-stepStep-by-step explanation:
The car travels 60 km from city A to city B passed at speed x. On the way back, the speed was increased by 12 km / h. What is the initial speed if the car has traveled for a total of 10 hours?
Answers
Answer:
54 km/h
Step-by-step explanation:
use s=½(u+v)t
600=½(x+x+12)10
600=½(2x+12)10
600=(2x+12)5
600=10x+60
540=10x
x=54 km/h
I think this is how to do it, I'm so sorry if I do it wrong!
80 people exercise in the morning at Planet Fitness. 100 people
exerflncise in the afternoon. What is the percent of increase in the
number of people exercising at Planet Fitness in the afternoon?
Answers
Answer: it has a 20% increase
An arts academy requires there to be 4 teachers for every 100 students and 5 tutors for every 60 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 144 standents?
Answers
Answer: 25 students per teacher and 12 students per tutor. They need 2.4 tutors for the school
What is the equation of the line that is parallel to the
given line and passes through the point (-3,2)
Answers
Answer:
Step-by-step explanation:
A parallel line will have the same slope as the reference line. In this case, I don't see the "given line" as promised in the question. If it does appear, and it looks like y = 5x + 3, for example, the slope is 5 and the new line will have the same slope.
If this slope is correct, we can start the equation for the parallel line that goes through point (-3,2) by starting with:y = 5x + bWe need a value of b that forces the line to go through point (-3,2). We can do that by using the given point in the equation and solving for b:y = 5x + b2 = 5(-3) + bb = 17The parallel line to y=5x+3 isy = 5x + 17See attachment.Caleb decreases a number by 6 and then multiplies it by 2. He gets the same answer as
when he subtracts 8 from the original number. What is the number?
please answer!!
Answers
Answer: 4
Step-by-step explanation: If Caleb starts with 4 and subtracts 6, he'll get -2. -2 times 2, equals -4. If he starts with 4 and subtracts 8, he'll again end up with -4, meaning the original number is 4!
4-6= (-2)
-2*2= (-4)
4-8= (-4)
What is the radical form of the expression 4 3/2
Answers
Please help!!
Select the correct answer.
Consider functions f and g.
f(x)= square root 2x+2
g(x) = x^2-2/2
Which statement is true about these functions?
See in photo
Answers
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:
[tex]h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\[/tex]
In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))
[tex]h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x[/tex]
Get the composite function g(h(x))
[tex]g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x[/tex]
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Learn more on inverse functions here; https://brainly.com/question/14391067
Question is on the picture
Answers
Answer:
B. 30/65 and experimental
Step-by-step explanation:
What happens to the value of the expression 20 + a, a as a increases?
Answers
Answer:
With the increase of the value of a ,the value of the expression 20+a will also increase.
Step-by-step explanation:
what is the expressions of ײ-3y when x = -5 and y=(2-)
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Plug the values of x and y in the given expression ~
[tex] \sf {x}^{2} - 3y[/tex][tex] \sf( - 5) {}^{2} - (3 \times 2)[/tex][tex] \sf25 - 6[/tex][tex] \sf19[/tex]The equivalent value is 19
The price,
P of tickets at a movie theater since it opened in 2001 can be modeled by the linear equation shown, where t is the number of years since 2001. P = 8.75 + 0.35t
What is the meaning of the P
-intercept in this scenario?
the price of a ticket in
2001
the price of a ticket in 2001
the increase in ticket price per year
the increase in ticket price per year
the total number of years the theater has been open
the total number of years the theater has been open
the difference in the price of a ticket in
2001
and the price in
2011
Answers
Answer:
B
Step-by-step explanation:
You have to look at the second term to be sure of the meaning of t - 15n
What the given term says is that the total number of tickets sold (p) will decrease by 15 times the number of increases that there are.
The other term says that the cost of 1 ticket will increase that each ticket will increase by 2 dollars for each change in the ticket prices providing that change is 2 dollars.
C is out of the question. The information talks about 2 dollars per increase which is the first term.
A is not quite correct. It implies there is exactly 1 ticket increase. The crorect answer is the ticket increases can be a number of times (n)
The answer is B
Anne pays cash for a Tv. The store owner gives her a 10% discount. She pays $702. How much was the price of the Tv before a discount?
Answers
Answer:
$780
Step-by-step explanation:
P = Original Price
P (100% - 10%) = $702
P (90%) = $702
(P (.9)) / .9 = $702 / .9
P = $780
Check answer:
$780 (90%) = $702
Write in point-slope form an equation of the line that passes through the point (1,9) with a slope of -2
Y-_=_(x-_)
Answers
Answer:
y - 9 = - 2(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = - 2 and (a, b ) = (1, 9 ) , then
y - 9 = - 2(x - 1) ← is the equation of the line
PLEASE HELP I"LL GIVE BRAINLEST
Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?
46 multiplication problems
92 multiplication problems
69 multiplication problems
54 multiplication problems
Answers
Answer:
92 4× 23
Step-by-step explanation:
sorry if im incorrect
Answer:
Carl solves 69 multuplication problems
Mr. Green orders some cookies from a local youth group. Using his order form shown below, complete the last column to find the total to be paid. Quantity Description Unit Price Total of Line 1 Krispy Kosmos $2.89 $ 2 Chewy Chocos $3.19 $ 1 Gooey Globs 2.99 $ Total $ 5.2% tax $ Total to be paid $ a. $9.54 b. $12.26 c. $12.90 d. $18.64 Please select the best answer from the choices provided A B C D
Answers
From the computation done, it can be denoted that the total price that will be paid will be $12.90.
1 Krispy Kosmos at $2.89 = $2.89
2 Chewy Chocos at $3.19 each = 2 × $3.19 = $6.38
1 Gooey Globs at $2.99 = $2.99
Total = $2.89 + $6.38 + $2.99 = $12.26
We'll then add the sales tax of 5.2%, therefore, the total value will be:
= $12.26 + (5.2% × $12.26)
= $12.26 + $0.638
= $12.90
In conclusion, the correct option is $12.90.
Learn more about prices on:
https://brainly.com/question/1293276
Answer:
C
Step-by-step explanation:
Edg 2022
can some one help me on this
Answers
so do 7 * 5 which is 35 so they make 35 cookies in 5 seconds
HELP PLS ! How many solutions does the following system of equations have?
Answers
Answer:
A - infinite
Step-by-step explanation:
The 2 lines are on top of each other making any point on either line a solution.
Hope that helps
Jenna works a job where her pay varies directly with the number of hours she has worked. In one week, she worked 35 hours and made $274.75. How many hours would she need to work in order to earn $337.55?
Answers
337.55/7.85= 43 hours
Rebah and her twin brother are planning a birthday party at Pizza Pete's. There is a S64.75 charge to reserve a party room plus $4.95 per person charge for lunch
Explain how to find the greatest number of people that can attend the party for $175.00. Show your work, and state the number of people.
QUICKKK PLZZ
Answers
Answer:
22 people
Step-by-step explanation:
Step 1: I first subtracted $64.75 from $175.00 so that I knew how much would be leftover after the charge of the room, because you can't count that cost. When I did this, I got $110.25. So then I knew how much was paid other then for the room.
Step 2: I then divided $110.25 by $4.95, so I would get the amount of people who went to the party, since each person costs $4.95. When I divided, I got 22.
So that would be my answer. I hope that helps. :)
[tex](-\frac{3n}{18n^{2} } )^{-18} * (-6n)^{-15}[/tex]
Answers
[tex]\left( - \dfrac{3n}{18n^2}\right)^{-18} \times(-6n)^{-15}\\\\\\= \left(-\dfrac{1}{6n} \right)^{-18} \times \dfrac{1}{(-6n)^{15}}\\\\\\=\left[(-6n)^{-1}\right]^{-18} \times \dfrac 1{(-6n)^{15}}\\\\\\=(-6n)^{18} \times \dfrac 1{(-6n)^{15}}\\\\=(-6n)^{18-15} \\\\=(-6n)^3\\\\=-216n^3[/tex]