Anotha oneee, irrelevant answers will be deleted. Thank you so much!!
Answer:
k = 5/7; y = 5vw/(7z)w = 18/5; y = 10vw/zy = 3/2; k = 96v = 5/6; k = 8y = 168/5; y = 6vw/zStep-by-step explanation:
As with other forms of direct and inverse variation, the "constant of variation" (k) is the constant multiplier in the equation. "Varies directly" means the independent variable is in the numerator. "Varies inversely" means the independent variable is in the denominator. The variation equation can be solved for missing values of constants or variables.
The equation for "varies directly with v and w, and inversely with z" means the equation is of the form ...
y = k·v·w/z
Then the values of v or w are ...
v = y·z/(k·w)
w = y·z/(k·v)
__
a)k = y·z/(v·w) = 5·24/(12·14) = 5/7; the equation is y = 5·v·w/(7·z)
b)w = y·z/(k·v) = 18·8/(10·4) = 18/5; the equation is y = 10·v·w/z
c)k = 3/2 (read from the equation); y = (3/2)v·w/z = 3·16·24/(2·6) = 96
d)k = 8 (read from the equation); v = y·z/(k·w) = 20·2/(8·6) = 5/6
e)y = k·v·w/z = 6·12·7/15 = 168/5; the equation is y = 6·v·w/z
Mand N are two points on the circumference of a circle
centre O.
The straight line AMB is the tangent to the circle at M.
Angle MON = y
Prove that angle BMN = 1/2 y
Explanation:
We can make use of the symmetry of the problem and properties of similar triangles.
Here's a "paragraph proof."
Draw line OP perpendicular to chord MN, such that P lies on line MB. Let the point of intersection of OP with chord MN be designated point Q. Line OP bisects angle MON, so has measure y/2.
Triangles OPM and MPQ are similar (by AA similarity; both right triangles contain angle OPM), so angle QMP ≅ angle MOP. As we observed above, angle MOP has measure y/2, so angle QMP has measure y/2.
Angle BMN is another name for angle QMP, so it has measure y/2.
__
Additional comments
By the HL congruence postulate, the perpendicular bisector of chord MN divides triangle MON into two congruent right triangles. (OM≅ON, MQ≅NQ). That means ∠MOQ≅∠NOQ, so OQ bisects angle MON, as we say above.
__
Another way to come to the desired conclusion is to recognize that for any point X on long arc MN, angle MXN will have measure y/2. (inscribed angle theorem) This remains true in the limit as X approaches M. As X approaches M, secant XM approaches tangent line MB. So, in the limit, angle BMN is y/2.
find the sum of the arithmetic sequence -1,2,5,8,11,14,17
So, we must find the sum of this arithmetic sequence -1,2,5,8,11,14,17
using the arithmetic sequence formula and Sum of an Arithmetic Sequence formula such that an =
a1 + d(n-1)...........where a1 = -1 and a2 = 2.
We can use this information to find the common sum ratio 'd' such that,a2 = a1 + d(2-1)2 = -1 + d(1)...........Then add 1 to both sides to get 3
= We do not need d to find the sum but i decided to show you how to find 'd' in case you needed to find the nth term.
The Sum Formula yields,Sn = n(a1 + a7) / 2,
where n is the number if terms which is 7 in this case, right ?
Then we plug in the first and seventh terms for a1 and a7 such that=
S(7)=
(7)(-1+17) / 2 = (7)(16/2) = (7)(8) = 56
I hope this helped!
Aliyyah.
What need help fast please
The question is in the picture!! Thank you in Advance
Answer: Series diverges to infinity
========================================================
Explanation:
The leading terms of the numerator and denominator are 5n^5 and 4n^5 respectively. They divide to 5/4. The n^5 portions cancel.
As n approaches infinity, the nth term of the sequence is going to approach 5/4 = 1.25 which is larger than 1.
Adding stuff to a series that's larger than 1, and doing so infinitely many times, means that the partial sums explode to infinity. The partial sums do not approach a finite value. Therefore, this series diverges to infinity.
A statistician takes several random surveys, each of 50 middle school students, to determine the favorite pizza topping of middle school students. The table
shows the mean results from all the surveys.
Pizza Topping Average of Surveys
extra cheese
pepperoni
pineapple
13
17
8
5
sausage
vegetables
7
Which we statements are valid inferences that can be made based on the data collected?
On average, of students prefer pineapple.
On average, tv of students prefer either pineapple or vegetables,
On average, of students prefer either pepperoni or pineapple.
On average, about 10% of students prefer sausage.
On average, about 50% of students prefer elther extra cheese or pepperoni
Answer:
I'd say On average, about 50% of students prefer elther extra cheese or pepperoni and On average, 1/4 of students prefer pineapple.
Also i tried my hardest to read the picture you took, so im assuming that the pineapple statement is 1/4 correct me if i'm wrong
HELP ASAP!!!
Find the value of X. Leave your answer in simplest radical form.
Answer:
x=3
Step-by-step explanation:
Check the picture
Nahid is payed 200$ a week + 5% of her sales during the week. The equation p=0.05s represents nahids pay for the week. P represents the total pay for week and s represents her total sales. If nahid was payed 290 at the end of the week, use the equation to determine how much did she sold.
Answer:
She sold $1800 worth.
Step-by-step explanation:
290-200=90
90 x 20 because 100÷5=20
90 x 20 = 1800
$1800
The side length of a square ABCD is 18 inches. What is the side length of the square formed by joining the midpoints of the sides of ABCD
=[tex]9\sqrt{2}[/tex]
which is likely to have a mass close to 3 kilograms
Answer:
Step-by-step explanation:
which is likely to have a mass close to 3 kilograms?
a. a 5- year old child
b. a bowling ball
c. a lemon
d. an adult lion
A kilogram weighs just over 2 pounds. It weighs 2.2 pounds. That's 2 point 2 pounds.
Multiply 3 times 2 point 2.
bowling ball is right. Some weigh 6 or 7 pounds.
What is the positive solution to the equation:
x^2=64
WILL RECEIVE BRANLIEST IF YOU EXPLAIN YOUR ANSWER
Answer:
8
I really hope this helped! :D
Step-by-step explanation:
X squared is equal to 64.
That also means X is the square root of 64.
8*8=64
8 Is the square root of 64, meaning it's also X.
Remember, when you square a number, you multiply it to itself.
8^2= 8*8
4^2=4*4
2^2= 2*2
So on, so forth.
What is the GCF of the numerator and denominator in the following fraction?
Answer:
What's the fraction
Step-by-step explanation:
I need to know the fraction in order to solve
The graph of a function f is shown below find f(-2).
Answer:
-3
Step-by-step explanation:
when you look at it go to where x is -2 then go down to where the blue line goes on the point
A number increased by 15 equals70. Wath is the number
Answer:
55
Step-by-step explanation:
55+15=70 and u could also say 15 from 70 =55
Does anyone know the answer
Answer:
B
Step-by-step explanation:
3x + 7y = - 49 → (1)
10x - 7y = - 42 → (2)
adding (1) and (2) term by term will eliminate y
13x + 0 = - 91
13x = - 91 ( divide both sides by 13 )
x = - 7
substitute x = - 7 into either of the 2 equations and solve for y
substituting into (1)
3(- 7) + 7y = - 49
- 21 + 7y = - 49 ( add 21 to both sides )
7y = - 28 ( divide both sides by 7 )
y = - 4
solution is (- 7, - 4 ) → B
A square and a rectangle have the same area. The square has side length 8 in. The length of the
rectangle is four times its width. What is the length of the rectangle?
The first step we take is to find the area of the square since the area of the square is equal to the area of the rectangle
[tex]area-of-rectangle = area- of-square\\area-of-rectangle = 8*8 = 64in^2[/tex]
Another fact we know is that the length of the rectangle is four times the width.
L = 4W
L: Length's lengthW: Width's lengthNow let's put the variables, found above, into the format to find the area of the rectangle
[tex]area-of-rectangle = L * W, (L = 4W)\\area-of-rectangle = 4W * W\\\\64 = 4W^2\\16 = W^2\\\\W^2 = 16\\\\W = 4[/tex]
Since the Width is 4, L = 4 * W = 4 * 4 = 16 in.
So the length is 16 inches
Hope that helps!
tan7A - tan4A - tan3A = tan7A*tan4A*tan3A
answer is tan 7 a 4 a tan4a
find value of x if x+4²
Answer:
x = - 16
Step-by-step explanation:
Value of RHS is not given. If it's 0, then,
x + 4² = 0
x = 0 - 4²
x = 0 - 16
x = - 16
_______
Hope it helps ⚜
Answer:
x = -16
Step-by-step explanation:
=> x = ?
=> x + 4² = ?
=> x + 16 = ?
=> x = -16
I HOPE IT HELPS YOU PLEASE MARK ME BRAINLIEST:)What is the perimeter and area of the figure shown?
14 m
Answer:
the answer is 120
Step-by-step explanation:
you just have to add them all together
7.5% of $12.58
ANSWER PLS
Answer:
0.94$
Step-by-step explanation:
Answer:
0.9435
Step-by-step explanation:
7.5/100 × 12.58 = 0.9435
Can someone help me with this one
Answer:
Step-by-step explanation:
The number of minivans is not really important for this question. You need only two numbers
Total vehicles = 545
Convertibles = 106
Equation
% convertibles = (# convertibles / Total) * 100%
Solution
% convertibles = (106 / 545) * 100%
% convertibles = 19.44%
Answer: 19 percent are convertibles.
Answer:
19%
Step-by-step explanation:
Number of convertibles = 106.
[tex]Percentage = \dfrac{number \ of \ convertible}{Total cars}*100\\\\[/tex]
[tex]= \dfrac{106}{545}*100\\\\\\= 19.44[/tex]
= 19%
Write as an equation.
Answer:
10
Step-by-step explanation:
(5+x=15)☞︎︎︎(Equation)
5-5+x=15-5
X=10
Help pls get 35pts plsss
Answer:
above is the solution to the question
<2 is a complement of <4, and m<2 = 51°. Find m<4.
39°
102°
51
129°
Answer:
39°
Step-by-step explanation:
Angles that are complement to one another add up to 90 degrees.
This means that Angle 4 + 51 = 90Now, to find the measure of Angle 4, we subtract 51 from 90.
[tex]90-51[/tex] [tex]39[/tex]Therefore, the answer is 39°.
are these similar
(the second one)
Problem 2
Answer: Not similarWhy not? Well it's because the angles do not match up perfectly.
The triangle on the left is a 30-60-90 triangle; while the triangle on the right is a 40-50-90 triangle. The numbers mentioned are the angle values.
Only the "90"s match up, but everything else does not. We need to have three pairs of congruent angles to be able to use the angle angle (AA) similarity theorem.
can you please help me?
Today only, a suit is being sold at a 67% discount. The sale price is $270.60.
What was the price yesterday?
Answer:
$820.00
Step-by-step explanation:
x = price yesterday (initital price)
If it is 67% off, then the price is 33% of the initial.
x(.33) = 270.60
divide .37 on both sides
x = 820.00
The price of the suit yesterday is $820.00.
Math Question, help please
Answer: 254.34 yd
Step-by-step explanation:
If the diameter is 18 yd then the radius:
radius = diameter/2
r = 18/2
r = 9 yd
So the area is:
[tex]A = \pi r^2\\= \pi (9)^2\\= (3.14)(81)\\ =254.34 \hspace2yd[/tex]
Therefore, the area of the circle is 254.34 yd
Find the remainder when p(x) = x4 - 27 is divided by x - 4.
Answer:
229 is the remainder.
Explanation:
In order to find the remainder, insert the value of x in the equation.
Given equation:
[tex]\sf p(x) = x^4 - 27[/tex]Given x value:
x - 4 = 0x = 4Find remainder:
[tex]\sf p(4) = 4^4 - 27[/tex]
[tex]\sf p(4) = 256 - 27[/tex]
[tex]\sf p(4) = 229[/tex]
Answer:
229
Step-by-step explanation:
Here we are given a polynomial p(x) and we need to find the remainder when it is divided by (x-4) . As we know that if a polynomial, say [tex]g(x)[/tex] is divided by [tex]x-a[/tex] then the remainder is [tex]g(a)[/tex] .
Firstly equate [tex] x -4[/tex] with 0 , we have;
[tex]\longrightarrow x -4=0\\[/tex]
[tex]\longrightarrow x =0+4\\ [/tex]
[tex]\longrightarrow x = 4 [/tex]
Now substitute [tex] x =4[/tex] in [tex]p(x)[/tex] ,
[tex]\longrightarrow p(x)= x^4-27\\[/tex]
[tex]\longrightarrow p(4)= (4)^4-27\\[/tex]
[tex]\longrightarrow p(4) = 256 - 27 \\[/tex]
[tex]\longrightarrow \underline{\underline{\boldsymbol{ p(4) = 229}}}[/tex]
Hence the remainder is 229 .
You are laying out a new retail store and need to arrange some displays. You know that the store is 8800 square feet in size, and that it is 110 feet wide. How deep (from front to back) is the store?
Answer:
Step-by-step explanation:
square feet (8800) = length x width (110)
So, solve for L: 8800 = 110L
Divide both sides by 110 to get
length (depth) = 80 feet
Answer:
80 feet
Step-by-step explanation:
i took the quiz and got it right