Answers
Answer:
x = 2u -v
Step-by-step explanation:
X is the excess when we try to squeeze 2 u's on the side v,therefore
x = 2u -v
The value of x in terms of u and v is √(u²/2 + v²/2).
The parallelogram shown is a rhombus, so all four sides are congruent. This means that the sides labeled u and v are congruent. Since the opposite sides of a parallelogram are equal, the sides labeled u and v are also parallel.
The diagonals of a rhombus bisect each other at right angles. This means that the angles formed by the diagonals are 90°.
The diagonals of a rhombus also divide the rhombus into four congruent right triangles. This means that the triangles labeled 1, 2, 3, and 4 are all congruent.
We can use the Pythagorean theorem to find the length of x. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is x, so the square of the hypotenuse is x². The other two sides are u/2 and v/2. The square of each side is u²/4 and v²/4. Therefore, we can write the following equation:
x² = u²/4 + v²/4
Solve for x:
x² = u²/2 + v²/2
x = √(u²/2 + v²/2)
Therefore, x is equal to √(u²/2 + v²/2).
To learn more about value here:
https://brainly.com/question/28787935
#SPJ2
Related Questions
what is the actual standard deviation for 68,68,68,68,68 133,133,133,133,133,
Answers
Answer: 21380.573997076
Step-by-step explanation:
What is the slope of the line that passes through the points (3, 2) and (-1,-4)?
Answers
Answer:
3/2
Step-by-step explanation:
slope formula is
y2 - y1 / x2 -x1 = m
so now we just plug in our coordinates.
-4 - 2 / -1 - 3 = -6 / -4 = 3/2
how do i solve this problem
Answers
Answer:
5 sqrt(2) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin 45 = x / 10
10 sin 45 = x
10 ( sqrt(2)/2) =x
5 sqrt(2) =x
Which algebraic expression has a term with a coefficient of 9? O A. 6(x + 5) O B. 6x - 9 O C. 6+ x - 9 O D. 9x=6
Answers
Answer:
D is the answer to your question
Given: AC and DB bisect each other.
Prove: AABE ACDE. HELP WILL GIVE BRAINLEST AND 5 stars
Answers
Answer: XY ≅ WZ
Hope this helps...
Have a great day!
(b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 4 to 19. What is the probability of a successful call
Answers
Answer:
0.1739 = 17.39% probability of a successful call.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The odds of making a sale on a single call are 4 to 19.
This means that in 4 + 19 = 23 calls, 4 are successful.
What is the probability of a successful call?
[tex]p = \frac{4}{23} = 0.1739[/tex]
0.1739 = 17.39% probability of a successful call.
Identify which shapes are similar to shape A and which are not.
Answers
Answer: Shape 3 and Shape 2
Hope this helps...
Have a great day.
Can someone help me please
Answers
Answer:
C
Step-by-step explanation:
All others can be proved false.
5. The Colorado state flag consists of three horizontal stripes of equal height. The side lengths of the flag are in the ratio 2 : 3. The diameter of the gold-colored disk is equal to the height of the center stripe. What percentage of the flag is gold?
Answers
Answer:
the diameter of the circle is ⅓ of the height
so the radius is 1/6 of the height
the area of the flag is 1*1.5 of the height
(we need to consider this)
pi*(1/6)² / 1.5
= 0.058177
so the percentage is
5.82 %
So, the required percentage is [tex]5.81\%[/tex].
To understand the calculations, check below.
Area of the disk:The area of the disk is defined as the ‘ measure of surface ‘ surrounded by the round edge (circumference) of the disk. The area of a disk can be derived by breaking it into a number of identical parts of disk as units — calculating their areas and summing them up till the disk is reformed.
That is [tex]Area=\pi \frac{d^2}{4}[/tex]
Let the width and the length of the flag be [tex]2x[/tex] and [tex]3x[/tex] respectively.
So, the diameter of the gold-colored disk will be [tex]\frac{2x}{3}[/tex]
Now, by using the above formula the area of the gold disk will be,
[tex]\pi \frac{d^2}{4}=\pi\times\frac{4x^2}{4\times 9} \\ =\frac{\pi x^2}{9}[/tex]
And the area of the flag will be,
[tex]Area=l\times b\\=2x\times 3x\\=6x ^2[/tex]
So, the required percentage is,
[tex]\frac{(\frac{\pi x^2}{9} )}{6x^2} \times 100=\frac{\pi}{54}\times 100\\ =5.81\%[/tex]
Learn more about the topic Area of the disk:
https://brainly.com/question/21881629
what that two numbers when multiplied give 600 and when added give 59
Answers
Answer:
Step-by-step explanation:
Let the 2 numbers be x and y
From the problem we have that
x * y = 600 and x + y = 59
From x + y = 59 -> x = 59 - y
Plug x = 59 - y to x * y = 600 we have
(59 - y) * y = 600
-> 59y - y^2 = 600
-> -y^2 + 59y - 600 = 0
-> y = [tex](59 - \sqrt{1081})/2[/tex] or [tex](59 + \sqrt{1081})/2[/tex]
Then we could plug the answers in and find x because x = 59 - y
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answers
9514 1404 393
Answer:
(a) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
Build times are 4 hours for a child's bike and 6 hours for an adult's bike. The number of build hours cannot exceed 120. This gives the first inequality:
4c +6a ≤ 120
Test times are 4 hours each. The number of test hours cannot exceed 100. This gives the second inequality:
4c +4a ≤ 100
This pair of inequalities matches choices A and C.
When we use c=20 and a=6, these become ...
4(20) +6(6) = 116 ≤ 120 . . . true
4(20) +4(6) = 104 ≤ 100 . . . false
The order cannot be built because the test time constraint cannot be met. This matches choice A.
In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the equation F=ma.
Using this formula, what is the acceleration of an object with F=7.92 newtons and m=3.6 kilograms? Express your answer to the nearest tenth.
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.
When solved for C, the equation is
C = K – 273.15
C = 273.15 – K
C = K + 273.15
C = 273.15K
Answers
Answer to the question
Answers
Answer:
Step-by-step explanation:
In a parallelogram,
i) opposite sides are equal and parallel.
So, DC = AB
DC = 28 units
ii) Diagonals bisect each other.
AC bisects BD
DE = EB = [tex]\frac{1}{2}[/tex] BD
DE = [tex]\frac{1}{2}*91[/tex] = 45.5
DE = 45.5 units
Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.
Answers
Answer: -1
Step-by-step explanation:
Just took the test
,and the equation is y=-1x+5, so the change of x is -1
Answer:
The answer is -1
Step-by-step explanation:
What does 32.689 x 10³ =???
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{32.689\times 10^3}[/tex]
[tex]\mathsf{10^3}[/tex]
[tex]\mathsf{= 10\times10 \times10}[/tex]
[tex]\mathsf{= 100\times10}[/tex]
[tex]\boxed{\mathsf{= \bf 1,000}}[/tex]
[tex]\mathsf{32.689 \times1,000}[/tex]
[tex]\boxed{\mathsf{= \bf 32, 689}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 32, 689}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
32.689x(10)3 = 32689
Byye and don’t forget I’m proud of you!!
what is the domain of the table
Answers
Answer:
Letter A
Step-by-step explanation:
The domain is the input or the x-value
The range is the output or the y-value
Hope this helps
How many different ways may a set of 4 books be arraged side by side on a shell?
Answers
Answer:
24
Step-by-step explanation:
4 * 3 * 2 * 1 = 24
Please help me no links!!
Answers
Answer:
Step-by-step explanation:
The line is parallel to y axis so
slope : undefined
y intercept : the line doesn’t intercept y axis
Equation : x = -6
Why do we divide log2(4) by 15 and why log4(15) turned to log2(15) i need deep explanation and understand the rest but i didnt get where the first step came from
Answers
Answer:
see below
Step-by-step explanation:
log 4 (15)
We need to change the base from 4 to 2
log b (a) = log x(a) / log x(b) where x is the base that we need
log4 (15) = log 2 (15) / log 2 (4)
What is the value of xin the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
14
B
х
D
с
30
A. 6.5
B. 16
C. 14
D. 30.1
Answers
Answer:
the answer is letter A. 6.5
Step-by-step explanation:
it's correct if I'm rwong ( ╹▽╹ )
I dont know how to do this please help me
Answers
=
−
2
x
+
5
y
=
-
2
x
+
5
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
2
-
2
y-intercept:
(
0
,
5
)
(
0
,
5
)
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
Tap for more steps...
x
y
0
5
5
2
0
problem 17=A
problem 4= C
problem 9= B
problem 11= C
problem 14= D
The product of two consecutive odd integers is 399. What equation would be used to solve
this problem?
Answers
Step-by-step explanation:
the answer is in the image
In a math class with 26 students a test was given the same day that an assignment was due. There were 17 students who passed the test and 18 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student who failed the test completed the homework?
Answers
Answer:
3/26 is the answer........
In which number does the digit 5 have a value that is ten times greater than the value of the digit 5 in the number 245,093?
43,567
45,248
53,901
562,011
Answers
Answer:
53,901
Step-by-step explanation:
The value given is: 245,093.
5 is in the thousands place. Multiply the thousands place with ten:
1,000 x 10 = 10,000
This means that the number with 5 in the ten thousands place will be your answer.
53,901 is your answer.
~
Simplify Complex Numbers
Answers
3.
√250 = √(25 * 10) = √(5^2 * 10) = √(5^2) * √10
… = 5 √10
=> a = 5
4.
√(-300) = √(-1 * 3 * 100) = √(-1 * 3 * 10^2) = √(-1) * √3 * √(10^2) = i * √3 * 10
… = 10i √3
=> -a = 10 and b = 3 => a = -10 and b = 3
=> a - b = -10 - 3 = -13
Find the point on the terminal side of θ = three pi divided by four that has a y coordinate of 1. Show your work for full credit.
Answers
Answer:
Remember that tan=y/x from your notes from module 4.
Step-by-step explanation:
Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.
For all the problems in this section you can set up an equation where tan=y/x, sin = y/h, and cos=x/h. Then using your equation you can solve for whatever number is missing.
Answer:
-1/1
Step-by-step explanation:
Two of the desserts are sugar free
Three of the drinks are sugar free
Answers
Answer: 8/15
Step-by-step explanation:
You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.
Two of the desserts are sugar free (2/3).
Four of the drinks are sugar free (4/5)
Times these fractions together, 2/3x4/5= 8/15.
Hope this helps :)
The ratio of cars to people is 1 to 4 1/2
write as a reduced fraction
Answers
Answer:
[tex]1 : 4\frac{1}{2} \\ = 1 : \frac{9}{2} \\ = \frac{1}{ \frac{9}{2} } \\ = \frac{2}{9} [/tex]
Plzzz help I don’t have a lot of time
Answers
Answer:
7
Step-by-step explanation:
It’s a right angle, so you can add the two expressions togther to get 90, then isolate x.
(8r-6)+(5r+5)=90
13r-1=90 (combine like terms)
13r-1+1=90+1 (add 1, addition property of equality)
13r=91
13r/13=91/13
r=7
definition of descartes
Answers
Answer:
French philosopher and mathematician; developed dualistic theory of mind and matter; introduced the use of coordinates to locate a point in two or three dimensions (1596-1650)
