Taryn is making a quilt using fabric in the shape of parallelograms that have side lengths of 12 cm and 4.5 cm as shown. She sews two right
triangles to either end of the parallelogram to make a rectangle. The length of OP is 2.5 cm.
What is the length of MN?
O A V2.5 cm
OB. 14 cm
OC 4.5 cm
OD 26.5 cm
OE 7 cm
Answers
Answer:
[tex]MN = \sqrt{14[/tex]
Step-by-step explanation:
Given
[tex]NO = 12[/tex]
[tex]OP = 2.5[/tex]
[tex]OQ = 4.5[/tex]
Required
Find MN
First, we calculate QP using Pythagoras theorem
[tex]OQ^2 = OP^2 + QP^2[/tex]
[tex]4.5^2 = 2.5^2 + QP^2[/tex]
[tex]20.25 = 6.25 + QP^2[/tex]
Collect like terms
[tex]QP^2 = 20.25 - 6.25[/tex]
[tex]QP^2 = 14[/tex]
Take square roots
[tex]QP = \sqrt{14[/tex]
To solve MN, we have:
[tex]MN = OP[/tex]
So:
[tex]MN = \sqrt{14[/tex]
Related Questions
A field in the shape of a quadrilateral has a perimeter of 166 m. A fence is being built along the field's perimeter. Determine the length of fencing needed for each side of the field.
Answers
Answer:
3x - 4 = 32
2x = 24
5x + 10 = 70
4x - 8 = 40
Step-by-step explanation:
Please find the complete question in the attached image
Perimeter = sum of sides of the quadrilateral
166 = 4x - 8 + 5x + 10 + 2x + 3x - 4
166 = 14x - 2
combine like terms
166 + 2 = 14x
168 = 14x
x = 12
substitute for x in each of the sides
3x - 4 = 3(12) - 4 = 32
2x = 2 x 12 = 24
5x + 10 = 5(12) + 10 = 70
4x - 8 = 4(12) - 8 = 40
Does anyone know the answer for this problem??
Answers
u^2-2uv+v^2
Find the lengths of a square having area 676cm2
Answers
Area = ( lengths )^2
676 = ( lengths )^2
lengths = √676
lengths = 26 cm
PLEASE HELP pls I know it’s the easiest thing I just could never understand this
Answers
Answer:
I think its 10 pls dont get mad at me if its wrong.
Step-by-step explanation:
if you see x and then 10 you can see they line up
Will give brainliest!
Answers
1- If Antonio did ten laps in the pool , how many minutes will it take him?
2-Antonia and Maria each swam laps in a pool. Who has the best time per lap.
Answers
2- Maria 1 lap take 2 min
Maria has the best time per lap
Select the reason that the best supports statement 6 in the given proof
Answers
Answer: Substitution
I hope this helps!:)
Substitution is the reason that the best supports statement 6 in the given proof
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that ∠A=∠B, ∠A= 55 and ∠B=5x+10
We need to prove x=9
The given statements and reasons are given as below
∠A≅∠B (By given)
∠A=∠B (Congruency)
m∠A=55 (By given)
55=m∠B (Substitution)
m∠B=5x+10 (Given)
55=5x+10(Substitution)
45=5x
x=9 (Division property of equality)
Hence, substitution is the reason that the best supports statement 6 in the given proof
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
sECOND LAST QUESTION PLS HELP DHGIFSTSTSHVJD
Answers
Answer:
96
sdfdsfsdfsf
Answer:
It A. 96 inches
Hope it helps!
Step-by-step explanation:
A ladder is placed 10 feet away from a tree. The length of the ladder is 25 feet. Find the height of the tree?
STEP BY STEP PLS
Answers
Answer:
23ft approx
Step-by-step explanation:
Given data
Distance from tree= 10ft
Length of ladder= 25ft
We can find the height of the tree by applying the Pythagoras theorem
z^2= x^2+y^2
z= The height of the ladder
x= The distance from the tree
y= The height of the tree
25^2= 10^2+ y^2
625=100+y^2
625-100=y^2
525=y^2
y= √525
y= 22.91
Hence the height of the tree is 23ft approx
In circle N with m \angle MNP= 48m∠MNP=48 and MN=16MN=16 units find area of sector MNP. Round to the nearest hundredth.
Answers
Answer:
[tex]A=107 square\ unit[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]\angle MNP= 48m[/tex]
[tex]\angle MN=16 unit[/tex]
Generally the equation for Area of a sector A is mathematically given by
[tex]A=\frac{\theta}{360}*\pi*r^2[/tex]
[tex]A=\frac{48}{360}*3.14*16^2[/tex]
[tex]A=107.18 square\ unit[/tex]
[tex]A=107 square\ unit[/tex]
Answer:
10.4
Step-by-step explanation:
Area of sector=central angle/360(area)
=46/360(π5^2)
=10.04
To find an estimate for π I could...
Answers
Answer:
You could use 3.14 or 22/7
Step-by-step explanation:
It should be what you're asking, if not, tell me and I'll give you another answer.
:)
Answer:
use 22/7 or 355/133, but 355/133 is not very commonly used and is unwieldy.
Step-by-step explanation:
Find the amplitude and period FAST
Answers
Answer:
Period is pi and the amplitude is 4
Step-by-step explanation:
Hope this helps!
A sports team is building a new stadium on a rectangular lot of land. If the lot measures 7x by 7x and the sports field will be 5y by 5y, how much of the lot will be left over to build bleachers on?
Answers
Answer:
Area of rectangular lot= l * f
Step-by-step explanation:
Area of rectangular lot= l * f=7x*7x = 49x^2
Area of stadium= 5y*5y = 25y^2
Area left of build bleachers = 49x^2 - 25y^2
Greggory is trying to raise money for his school's football team by selling T-shirts and sweatshirts. The football team will get $3 for each sweatshirt sold and $4 for each T-shirt sold. The rest of the money goes to paying for the items to be sold. Greggory manages to sell a total of 121 items and the team ends up getting $406.
Answers
# of t-shirts sold = y = 43
We know:
x + y = 121
3x + 4y = 406
Solve the first equation for x in terms of y, then substitute that into the second equation.
x = 121 - y
3(121 - y) + 4y = 406
363 - 3y + 4y = 406
y + 363 = 406
y = 43
Then solve for x
x = 121 - y
x = 121 - 43
x = 78
Check the math:
3(78) + 4(43) = 234 + 172 = 406
solue for X
will give brainliest
don't put links or will be reported
Answers
Answer:
x = 9.85 units
Step-by-step explanation:
sin 38° = x/16
cross-multiply to get:
x = 16·sin 38° which equals 9.85
If you add the two equations 6x + 4y 46 and — 6x + 9y = 6 what do you get?
Answers
Answer:
13y = 52
Step-by-step explanation:
6x - 6x + 4y + 9y = (46 + 6)
6x - 6x + 4y + 9y = 52
0 + 4y + 9y = 52
0 + 13y = 52
13y = 52
(p.s. y = 4)
1-Mrs. Thomas wrote the expression below on the board.
What is the value of the expression?
11 - (2 x 4) + 2 =
Answers
Answer:
I believe the answer is 10
Answer:
i believe the answer is 6
Step-by-step explanation:
(2×4) = 8 / 11 - 8 = 4+ 2= 6
Which expression is equivalent to the expression 512^1/4÷4^1/8−(10−32^1/5)?
ANSWERS:
A: 2^5/2-8
B:-6
C: -4
D: 2^9/4
---------
2^1/4-8
Answers
Answer:
2^5/2-8 may equivalent
What is the mode of the following numbers?
10, 6, 4, 4, 6, 4,1
Answers
Answer:
10 repeats 1 time
6 repeats 2 times
4 repeats 3 times
1 repeats 1 time
so 4 is the mod
hope this helps
have a good day :)
Step-by-step explanation:
Answer: 4
Step-by-step explanation: The number 4 is being repeated the most out of the other numbers.
which inequality is graphed in green
Answers
Answer:
The one on the right. y< -x/2 - 1
someone pls help!! NO LINKS AND ONLY ANSWER IF U KNOW!! i’ll report u if u do either. pls explain well too
Answers
Answer:
can u please send the question again with clear picture of diagram?
X * Y = -4
X + Y = 3
Answers
A loading tempo can carry 482 boxes of biscuits weighing 15kg each, whereas a van can carry 518 boxes each of the same weight. Find the total weight (in kg) that can be carried by both the vehicles.
Answers
Answer:
Tempo = 7,230kg
Van = 7,770kg
Step-by-step explanation:
FOR THE TEMPO
boxes of biscuits = 482
Each weight = 15kg each
= 482 x 15kg
= 7,230kg
FOR THE VAN
boxes of biscuits = 518
as written in the question that Each box have the same weight as in the tempo so it is = 15kg Each
= 518 x 15kg
= 7,770kg
A normal distribution has a mean of 75 and a standard deviation of 10 use the standard normal table to find the probability that a randomly selected X value from the distribution is less than or equal to 50
A. -2.5
B. 0.0062
C. 0.9938
D. 2.5
Answers
Answer:
0.006
Step-by-step explanation:
We are actually looking for the area under the standard normal curve to the left of 50. The proper distribution function on my old TI calculator is normalcdf(:
normalcdf(-1000,50,75, 10),
which returns 0.006 (Answer B)
What is the first step you will use to solve this equation:
4x +2 = 7x - 13
Answers
1. Subtract 2 from both sides of the equation
4x + 2 = 7x - 13
4x + 2 - 2 = 7x - 13 - 2
2. Simplify
4x + 2 - 2 = 7x - 13 - 2 -----> 4x = 7x - 13 - 2 -----> 4x = 7x - 15
3. Subtract 7x from both sides of the equation
4x = 7x - 15
4x - 7x = 7x - 15 - 7x
4. Simplify
4x - 7x = 7x - 15 - 7x -----> -3x = 7x - 15 - 7x -----> -3x = -15
5. Divide both sides of the equation by the same term
-3x = -15
-3x/-3 = -15/-3
6. Simplify
-3x/-3 = -15/-3
x = -15/-3
x = 5
7. Solution
x = 5
Hope that helps! :D
I need help understanding this and some answers quick
Answers
Answer:
(x - 8)² = 14
Step-by-step explanation:
Given
x² - 16x + 26 = - 24 ( subtract 26 from both sides )
x² - 16x = - 50
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 50 + 64
(x - 8)² = 14
Mateo compró un artefacto gastando los 3/7 de su dinero, quedándole 360 soles, ¿Cuál era el dinero que tenía Mateo al inicio?
Answers
Answer:
840 soles
Step-by-step explanation:
Sea la cantidad de dinero que Mateo tenía al principio = x
Mateo compró un artefacto gastando 3/7 de su dinero, dejándole 360 soles,
Por eso,
3/7 × x = 360 soles
3x / 7 = 360 soles
Multiplicar cruzada
3x = 7 × 360 soles
x = 7 × 360 soles / 3
x = 840 soles
Por tanto, el dinero que tenía Mateo al principio es de 840 soles
Calculate the marked price (original price) if
a. After 25% discount, the price of an article is Rs 7500,
Answers
Answer:
Step-by-step explanation:
let original price of an article be x
marked price(price after discount )=Rs 7500
discount%=25%
discount =discount % of cost price
=25/100*x
=25x/100
=x/4
Mark price=original price-discount amount
Rs 7500=x-x/4
Rs 7500=4*x-x/4
Rs 7500*4=4x-x
Rs 30000=3x
Rs 30000/3=x
Rs10000=x
therefore original price of an article is Rs 10000.
can someone help me solve this question
Answers
Answer:
D
Step-by-step explanation:
y=mx+b
m = slope
b = y intercept
m = 5
b = -8
y=5x-8
Answer: y = 5x - 8
Step-by-step explanation:
y = mx + b
m is the slope
b is the y-intercept
M is 5 and B is -8
So, y = 5x - 8
I need help solve for x
Answers
Answer:
Step-by-step explanation:
15+6=9+x
21=9+x
21-9=x
12=x
Answer:
x = 10
Step-by-step explanation:
Chord Chord Theorem
9x = 90