Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?
Answers
Answer:
4
Step-by-step explanation:
By the triangle midsegment theorem, 2(WY)=VZ.
So, 2(7s)=s+52, meaning s=4.
Related Questions
can you help me with this
Answers
Answer:
the anwer is b
I did the math
Maryan harvested a total of 22.69 t of rice and sold it in 100 kg bags. how many full bags did she sell
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Answer:
1t = 1000kg
22.69 x 1000= 22690 kg
22690 kg ÷ 100 = 226.9
I would usually round it to 227 but I would say 226, since they are asking how many full bags she sold.
The value of stock changes from $22 on Monday to $30 on Tuesday. Calculate the percent increase.
Answers
22 + 22 x r = 30
22 x r = 30 - 22
r = 8 : 22
r = +36,36%
r = increase rate
Solve for b
SOLVE ASAP!!
Answers
Answer:
Step-by-step explanation:
<A and <B are alternate interior angles. That means they are in the interior of the parallel lines and they are on opposite sides of the transversal.
When that happens <A = <B
8x + 78 = 2x + 114 Subtract 2x from both sides.
8x - 2x + 78 = 2x - 2x + 114 Combine
6x + 78 = 114 Subtract 78 from both sides
6x + 78 - 78 = 114 - 78
6x = 36 Divide by 6
6x/6 = 36/6
x = 6
I think you are asked for B
<B = 2x + 114
<B = 2*6 + 114
<B = 12 + 114
<B = 126
What is the diameter of a hemisphere with the volume of 74466
Answers
[tex]\textit{volume of a hemisphere}\\\\ V=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=74466 \end{cases}\implies 74466=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3} \\\\\\ 74466=\cfrac{2\pi r^3}{3}\implies 223398=2\pi r^3\implies \cfrac{22398}{2\pi }=r^3\implies \cfrac{111699}{\pi }=r^3 \\\\\\ \sqrt[3]{\cfrac{111699}{\pi }}=r~\hfill \stackrel{\textit{diameter = 2r}}{2\sqrt[3]{\cfrac{111699}{\pi }}\implies \sqrt[3]{\cfrac{893592}{\pi }}}~~ \boxed{\approx~~65.77}[/tex]
[tex] \sf \large \: find \: \frac{dy}{dx} \: if \: x=a ( \Theta + sin \Theta ) , y= a (1- Cos \Theta ) \: at \: \Theta = \frac{π}{2} \\ \\ \\ \\ \\ [/tex]
Kindly Don't Spàm!
Thanks!!!!
Answers
Given :
[tex] \: \: \: [/tex]
[tex] \rm \large \: x = a ( \Theta + Sin \Theta )[/tex][tex] \: \: \: [/tex]
[tex] \rm \large y = a ( 1 - cos \: \Theta )[/tex][tex] \: \: [/tex]
Now , x = a ( θ + sin θ )
[tex] \: \: [/tex]
Diff w.r.t " θ "
[tex] \: \: \: [/tex]
[tex] \rm \large\frac{dx}{dθ } = a \: \frac{d}{dθ} (θ + \sin\theta )[/tex][tex] \: \: [/tex]
[tex] \boxed{ \rm \large\underline{ \frac{dx}{d \theta} = a(1 + \cos \theta ) }}[/tex][tex] \: \: [/tex]
Now y = a ( 1-cosθ)
[tex] \: \: [/tex]
Diff w.r.t " θ " we get .
[tex] \: \: [/tex]
[tex] \rm \large \frac{dy}{d \theta} = a \frac{d}{d \theta} (1 - cos \theta) [/tex][tex] \: \: \: [/tex]
[tex] \boxed{ \rm \large \underline{ \frac{dy}{d \theta} = a \sin \theta}}[/tex][tex] \: \: \: [/tex]
From eqn ( 1 ) & ( 2 )
[tex] \: \: [/tex]
[tex] \rm \large \frac{dy}{dx} = \frac{ \frac{dy}{d \theta} }{\frac{dx}{d \theta}} [/tex][tex] \: \: \: [/tex]
[tex] \: \: \: \rm \large = \frac{ \cancel{a} \: sin \theta}{ \cancel a \: (1 + cos \theta)} [/tex][tex] \: \: [/tex]
[tex] \rm \large \: = \frac{sin \theta}{1 + \cos \theta } [/tex][tex] \: \: \: [/tex]
[tex] \rm \large \: \frac{2 \sin( \frac{\theta }{2} ) cos\frac{\theta }{2} }{2 \: cos ^{2} \frac{\theta }{2}} \: \: ......(sin \: a \: = 2 \: sin \frac{a}{2} \: cos \frac{a}{2} 1 + \: cos \: a \: = 2cos ^{2} \frac{a}{2} )[/tex][tex] \: \: [/tex]
[tex] \rm \large \: \frac{dy}{dx} = \frac{sin \frac{ \theta}{2} }{cos \frac{ \theta}{2} } [/tex][tex] \: \: [/tex]
[tex] \rm \large \: \frac{dy}{dx} = tan \frac{ \theta}{2} [/tex][tex] \: \: [/tex]
[tex] \rm \large \: ( \frac{dy}{dx} ) = tan \frac{ \frac{ \theta}{2} }{2} [/tex][tex] \: \: [/tex]
[tex] \rm \large \: = tan( \frac{ \theta}{4} )[/tex][tex] \: \: [/tex]
[tex] \boxed{ \rm \large \underline{ ( \frac{dy}{dx} ) = \frac{\pi}{2} = 1}}[/tex][tex] \: \: [/tex]
Hope Helps!:)
I hate these types of problems
I was never taught this stuff
Answers
The trapezoid below is made up of a square and a triangle. The total area of the trapezoid is 57.5 square meters. The area of the triangle is 32.5 square meters. What is the length of a side of the square?
Answers
Answer:
5 m
Step-by-step explanation:
The length of the side of a square is the root of the area of the square. The area of this square is the difference between the trapezoid area and the triangle area.
__
square area = trapezoid area - triangle area
square area = 57.5 m² -32.5 m² = 25 m²
Then the side length is ...
side length = √(square area) = √(25 m²)
side length = 5 m
The length of a side of the square is 5 m.
NO LINKS PLEASE
I NEED THEM TODAY
NO LINKS!!!
Answers
Answer:
13. True, False, True
14. False, True, True
15. All true
4x+y=2 solve for y algebra 2
Answers
-4x. -4x
y=2-4x
Answer:
Step-by-step explanation:
4x + y = 2
y = -4x + 2
A cyclist travels a distance of 837 1/2 feet in 25 seconds. The cyclist travels at a constant rate. What is the unit rate, in feet per second, at which the cyclist travels?
PLEASE
Answers
Answer:
[tex]\boxed{33.5 \ \text{feet/second}}[/tex]
Step-by-step explanation:
To find the unit rate, we need to find out how much distance does the cyclist travel in 1 second. For that, we need to use the unitary method. A unitary method is a method that determines the unit rate of an object.
Note: Since the cyclist travels at a constant rate, unitary method can be used.
[tex]\rightarrow 837 \dfrac{1}{2} \ \text{feet in 25 seconds}[/tex]
[tex]\rightarrow 837.5 \ \text{feet} = 25 \ \text{seconds}[/tex]
Divide both sides by 25:
[tex]\rightarrow \dfrac{837.5}{25} \ \text{feet} = \dfrac{25}{25} \ \text{seconds}[/tex]
[tex]\rightarrow 33.5 \ \text{feet} = 1 \ \text{seconds}[/tex]
[tex]\rightarrow \boxed{33.5 \ \text{feet/second}}[/tex]
Learn more about unitary method: https://brainly.com/question/19423643
Donald said that the median is 2. What did he do wrong?
8,13,2,4,48
Answers
Answer:
He did not put the numbers in order.
Explanation:
The numbers need to be in order from smallest to largest before you find the median.
If 12 workers can dig a tunnel in 100 days, how long will it take 20 workers to dig the tunnel
Answers
Answer:
60 days.
Step-by-step explanation:
This is a proportion question. You compare two ratios. Unfortunately it is an inverse ratio.
12 = k/100 Multiply both sides by 100
1200 = k
20 = k/x Multiply both sides by x
20x = k
20x = 1200 Divide by 20
20x/20 = 1200/20
x = 60 days.
An inverse proportion works by making a constant k. The constant k makes the days shorter when the number of people increases. You should expect that. More people , less time.
Please help! I don't know what answer b is, but i know a, thank you.
Answers
They are corresponding angles
Step-by-step explanation:
We know that x=75⁰ because
[tex]180 - 105 = 75[/tex]
75⁰ is angle EFB
Since we know this, and because we know that AD//EH,
We can conclude that x=75⁰(AD is parallel to EH and angle CBA or x and angle EFB are corresponding angles)
Given the function h of x equals 2 times the cube root of x minus 10 end root plus 4, what is the x-intercept of the function?
–10
–4
2
8
Answers
Step-by-step explanation:
if I understand correctly, then we have
h(x) = 2 × cubic root(x - 10) + 4
the x-intercept is the x value where y or h(x) = 0.
0 = 2 × cubic root(x - 10) + 4
0 = cubic root(x - 10) + 2
-2 = cubic root(x - 10)
-8 = x - 10
x = 2
The intercept is the point where a line or curve crosses the axis. The x-intercept of the function is (2,0)
Intercept of a functionThe intercept is the point where a line or curve crosses the axis. Given the function below:
h(x) = 2(∛x-10) + 4
For the x-intercept, it is the point where h(x) = 0.
Substitute
2(∛x-10) + 4 = 0
2(∛x-10) = -4
(∛x-10) = -2
Take the cube of both sides
x-10 = (-2)^3
x -10 = -8
x = -8 + 10
x = 2
Hence the x-intercept of the function is (2,0)
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Evaluate the triple integral. X dv, where e is bounded by the paraboloid x = 4y2 4z2 and the plane x = 4. E
Answers
The triple integral that is bounded by a paraboloid x = 4y2 4z2 given as 16.762
Parabloid, x = 4y² + 4z²
plane x = 4
x = 4y² + 4z²
x = 4
4 = 4y² + 4z²
4 = 4 (y² + z² )
1 = y² + z²
from polar coordinates
y = r cos θ
z = r sin θ
r² = y² + z²
The limits of the integral0 ≤ θ ≤ 2π
4r² ≤ x ≤ 4
0 ≤ r ≤ 1
[tex]\int\limits\int\limits\int\limits {x} \, dV = \int\limits^1_0\int\limits^a_b\int\limits^c_d {x} \, dx ( rdrdz)[/tex]
where
a = 4
b = 4r²
c = 2r
d = 0
The first integral using limits c and d gives:
[tex]2pi\int\limits^1_0\int\limits^a_b {xr} \, dx[/tex]
The second integral using limits a and b
[tex]pi\int\limits^1_0 {16 } } \, rdr - pi\int\limits^1_0 {16r^{5} \, dx[/tex]
[tex]16pi\int\limits^1_0 { } } \, rdr - 16pi\int\limits^1_0 {r^{5} \, dx[/tex]
[tex]16pi\int\limits^1_0 { } } \, [r-r^{5}]dr[/tex]
The third integral using limits 1 and 0 gives: 16.762
Read more on Triple integral here: https://brainly.com/question/27171802
The triple integral that is bounded by a paraboloid x = 4y2 4z2 given as 16.762
What is integration?Integration is defined as adding small parts to form a new significant part.
Parabloid, x = 4y² + 4z²
plane x = 4
x = 4y² + 4z²
x = 4
4 = 4y² + 4z²
4 = 4 (y² + z² )
1 = y² + z²
from polar coordinates
y = r cos θ
z = r sin θ
r² = y² + z²
The limits of the integral
0 ≤ θ ≤ 2π
4r² ≤ x ≤ 4
0 ≤ r ≤ 1
[tex]\int\int\intxdV = \int_0_1\int_b_a\int_d_cxdx(rdrdz)[/tex]
where
a = 4
b = 4r²
c = 2r
d = 0
The first integral using limits c and d gives:
[tex]2\pi\int_0^1\int_b^axydx[/tex]
The second integral using limits a and b
[tex]\pi \int_0^116rdr-\pi\int_0^116r^5dx[/tex]
[tex]16\pi \int_0^1rdr-16\pi\int_0^1 r^5dx[/tex]
[tex]16\pi\int_0^1[r-r^5]dr[/tex]
The third integral using limits 1 and 0 gives: 16.762
Read more on Triple integral here:
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please help asap
For each relation, decide whether or not it is a function.
Answers
Answer:
Step-by-step explanation:
Refer to the definition of a function. I'll just give you a layman's definition to be concise.
For something to be a function, there needs to be exactly 1 output for every input. You cannot have a case where you input 1 value, and get 2 or more values as an output.
In math we call all the possible input values the domain, and we call all the possible output values the range.
Let's take a look at each situation on your worksheet.
1. Is a function. This is because only one arrow stems from each input value. There are cases where the different input values give the same output, sure, but each input returns 1 discrete thing, not an array of things.
(Think of it this way, if i had a machine that could answer any question I had with yes, no or maybe. I wouldn't want the machine to give me "yes and maybe" or "yes and no" as the result when I ask it a question. That doesn't make sense and I would think the machine is broken. What could happen, is that I ask the machine different questions, and for those different questions, it gave me the same answer, like "yes" and "yes" respectively. in that case, it would be acceptable, because it isn't contradicting itself for any individual question.)
2. Not a function. There are 2 different output values for b.
(Refer back to my machine analogy. The "machine" in this question is contradicting itself. I gave the machine one input, and the machine is telling me, "it's this and actually it's this other thing too")
3. Is a function for the same reasons as 1.
4. Isn't a function.
(It's basically telling you, the machine reads -6 as -4, but it also reads -6 as 0, and also 2. And it also tells you the machine reads -4 as -3, but it also reads it as 8. Again, the machine should only read 1 input in 1 way and not contradict itself. )
What operation can you use on both sides of the equation 100=100 +y to solve the equation for y? Solve the equation for y.
Answers
The equation 100 = 100 + y is an algebraic equation
The operation is subtraction property of equality, and the value of y is 0
How to solve the equation?The equation is given as:
100 = 100 + y
To solve for y, we apply the following operation
Operation: subtraction property of equality
So, we have:
100 - 100 = 100 - 100 + y
Evaluate the differences
0 = y
Rewrite as:
y = 0
Hence, the operation is subtraction property of equality, and the value of y is 0
Read more about algebraic equations at:
https://brainly.com/question/723406