Answer:
Hello,
answer 22
Step-by-step explanation:
[tex]\dfrac{1}{j} +\dfrac{1}{k} =\dfrac{1}{3} \\\\\dfrac{k+j}{j*k} =\dfrac{1}{3} \\\\\\3k+3j=j*k\\\\k(3-j)=-3j\\\\k=\dfrac{3j}{j-3} \\\\k=\dfrac{3j-9+9}{j-3} \\\\k=3+\dfrac{9}{j-3} \\\\\\j-3\ must\ be \ a divisor\ of\ 9 ==> 1,3,9\\\\j-3=1 ==> j=4 , k=3+\dfrac{9}{1} =12\\\\j-3=3 ==> j=6 , k=3+\dfrac{9}{3} =6\\\\j-3=9 ==> j=12 , k=3+\dfrac{9}{9} =4\\\\\sum\ k=12+6+4=22\\[/tex]
The sum of all possible values for k is 22.
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/j + 1/k= 1/3
Simplifying the fraction
(k+ j)/ kj= 1/3
3k + 3j = kj
k(3- j) = -3j
k = -3j/ (3- j)
k= 3j/ (j-3)
k = 3j + 9 - 9 / (j-3)
k = 3 + 9/ (j-3)
Since (j-3) must be divisor of 9.
j- 3 = 1---> j=4, k= 3 +9 = 12
j- 3 = 3---> j=6, k= 3 +9/3 = 6
j- 3 = 9---> j=12, k= 3 +9/9 = 4
So, The sum is = 12+ 6 + 4 = 22
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Find the arc length of the partial circle.
Answer:
● 23.55 units
Step-by-step explanation:
Arc length = 5( 270 π/ 180)
= 7.5 π units
= 7.5 (3.14)
= 23.55 units
OAmalOHopeO.
============================================================
Explanation:
For now, we'll just find the perimeter of the full circle. The term "circumference" is the same as the perimeter of the circle.
Use the circumference formula to get
C = 2*pi*r
C = 2*3.14*5
C = 31.4
The distance around the full circle is approximately 31.4 units. It's approximate because pi = 3.14 is approximate.
We don't want the full distance around the circle. Instead, we want just the length of the green arc shown in the drawing. This is exactly 3/4 of the full circle, aka 3/4 = 0.75 = 75% of the full perimeter.
The length of the green arc is about 0.75*C = 0.75*31.4 = 23.55 units long. Imagine using a cloth ruler (used in tailoring clothes) as one way to confirm that this arc length is roughly 23.55 units long. Or you could imagine unwrapping this curved portion to lay it completely straight and flat against a ruler.
HELP....PLEASE,USE GEOMETRY!
Answer:
18[tex]\pi[/tex]
Step-by-step explanation:
area of the "left most" side disk would be [tex]\pi r^{2}[/tex] = 9[tex]\pi[/tex]
the height of the disk is = 2
thus the area would be 18[tex]\pi[/tex] units cubed
Answer:
56.55 units
Step-by-step explanation:
If we rotates this rectangle we will get a cylinder.
The base of this cylinder is a circle with a radius of 3 units (the high of the rectangle).
And the high of this cylinder is 2 units.
Volume of cylinder is given by the formula :
V= h.pi.r²
so V= 2×3.14×9
= 56.55 units
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART PLEASE GOVE EXPLANATION?
Answer:
0.249
Step-by-step explanation:
tan(theta) = opposite / adjacent (according to the SOH CAH TOA rule), which effectively means y/x in this case.
So -0.242 / -.970 ≈ 0.249
Other explanation:
On a unit circle,
y = sin(θ)
and
x = cos(θ).
And since, tan = sin/cos, tan(θ) = y/x. You y and x are given, so calculating tan is a matter of dividing them.
Jason counted by 6's aloud and Lawton counted by 4's aloud. What is the first number they will both say?
Answer:
12
Step-by-step explanation:
The first number they will both say = L.C.M of (6,4)
=> L.C.M of (6,4) is 12
The first number they will both say is 12
A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.
He's tied to a corner of the barn with a 12 ft rope. Find the grazing area of the goat.
Answer:
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find the area and perimeter of the figure and show work question 30
Answer:
Perimeter = 24 cm
Area = 27.6 cm²
Step-by-step explanation:
Perimeter = 8 + 8 + 8 = 24 cm
A(Triangle) = 1/2(8)(6.9) = 27.6 cm²
Correct answer gets brainliest and 5 stars
Answer:
Does the answer help you?
What set of number does the following number belongs to? (1.1A.1a) -√5
Answer:
irrational
Step-by-step explanation:
See the image for a Venn diagram illustrating relationships among the various subsets of real numbers.
You drive 132 miles in 3 hours. At
that speed, how many hours would it take you to drive 110 miles?
Answer and Step-by-step explanation:
To solve, we need to find how many miles are driven in an hour.
Divide 132 by 3.
132/3 = 44
Now, we need to find how many hours it would take to drive 110 miles.
[tex]\frac{44 miles}{1 hour} = \frac{110 miles}{? hours} \\\\[/tex]
Cross multiply.
[tex]44(?) = 110[/tex]
Divide by 44.
[tex]? hours = 2.5 hours[/tex]
So, it would take 2.5 hours to drive 110 miles.
#teamtrees #PAW (Plant And Water)
I hope this helps!
An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?
x3 feet
5 + 11x2 feet
5x2 + 11 feet
5x3 + 11x5 feet
Answer:
the answer is 5×3+11×5 feet
Answer:
4th option
Step-by-step explanation:
An equilateral triangle has 3 congruent sides
Divide the perimeter by 3 for length of side
[tex]\frac{15x^3+33x^5}{3}[/tex]
= [tex]\frac{15x^3}{3}[/tex] + [tex]\frac{33x^5}{3}[/tex]
= 5x³ + 11[tex]x^{5}[/tex] ← length of 1 side
The sum and product of two numbers x and y are 3 and 1.25 respectively. Form two
equations involving x and y and solve them to obtain the possible values of x and of y.
Please solve thissss pleaseee I have test tomorrow
Answer:
X+Y=3........(1)
X×Y=1.25........(2)
i) In (1):X+Y=3
X=3-Y.......(3)
ii)Subt (3) in (2)
XY=1.25
(3-Y)Y=1.25
3Y -Y²=1.25
0=Y²-3Y+1.25
[tex] \frac{ - ( - 3) + \sqrt{( - 3) { }^{2} - 4(1)(1.25) } }{2(1)} [/tex]
Y=2.5 OR Y=0.5(when you substitute a minus -)
iii)Substitute the Y values in (3)
What effect will replacing x with (x - 4) have on the graph of the equation y = (x - 3) ^ 2 ?
a. slides the graph 7 units down
b. slides the graph 4 units up
c. slides the graph 1 unit right
d. slides the graph 4 units right
Answer:
d. slides the graph 4 units right
Step-by-step explanation:
When you replace x with x - h, the graph shifts h units horizontally.
Here, the replacement is x - 4.
Compare x - 4 to x - h.
h = 4
The shift is 4 units right.
Answer: d. slides the graph 4 units right
Heyo random person scrolling.Please help me?
Let's do
[tex]\\ \sf\longmapsto 2sin^260cos60tan^245[/tex]
[tex]\\ \sf\longmapsto 2\left(\dfrac{\sqrt{3}}{2}\right)^2\times \dfrac{1}{2}\times (1)^2[/tex]
[tex]\\ \sf\longmapsto 2\times \dfrac{(\sqrt{3})^2}{2^2}\times \dfrac{1}{2}\times 1[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{2}\times \dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{4}[/tex]
Trigonometric values
[tex]\Large{ \begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 60^{\circ} & \sf 90^{\circ} \\ \cline{1-6} $ \sin $ & 0 & $\dfrac{1}{2 }$ & $\dfrac{1}{ \sqrt{2} }$ & $\dfrac{ \sqrt{3}}{2}$ & 1 \\ \cline{1-6} $ \cos $ & 1 & $ \dfrac{ \sqrt{ 3 }}{2} } $ & $ \dfrac{1}{ \sqrt{2} } $ & $ \dfrac{ 1 }{ 2 } $ & 0 \\ \cline{1-6} $ \tan $ & 0 & $ \dfrac{1}{ \sqrt{3} } $ & 1 & $ \sqrt{3} $ & $ \infty $ \\ \cline{1-6} \cot & $ \infty $ &$ \sqrt{3} $ & 1 & $ \dfrac{1}{ \sqrt{3} } $ &0 \\ \cline{1 - 6} \sec & 1 & $ \dfrac{2}{ \sqrt{3}} $ & $ \sqrt{2} $ & 2 & $ \infty $ \\ \cline{1-6} \csc & $ \infty $ & 2 & $ \sqrt{2 } $ & $ \dfrac{ 2 }{ \sqrt{ 3 } } $ & 1 \\ \cline{1 - 6}\end{tabular}}[/tex]
C. Write an equation for the situation.
2. The equation y = 7x gives the cost y of x pounds of chicken at the grocery store. Complete the table for the given weights of chicken
Equation representing the relation between the cost and the weight of the chicken has been given as,
y = 7xHere, y = cost of the chicken
x = weight of the chicken
By substituting the values of different weights (x) in the given equation we can find the cost of the chicken (y).
For x = 1,
y = 7×1
y = 7
For x = 2,
y = 7×2
y = 14
For x = 3,
y = 7×3
y = 21
For x = 8,
y = 7×8
y = 56
Therefore, the complete table will be,
Weight (lb),x 1 2 3 8
Cost ($),y 7 14 21 56
Learn more about the proportional relation,
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what is the equation of the graph ?
Answer:
what graph
Step-by-step explanation:
I need help finding the domain and range of y+9x=15
Answer:
domain) all real numbers
range) all real numbers
Step-by-step explanation:
y=15-9x
there are no illegal values for x that would make the equation invalid so domain is all real numbers
this line is not flat so range is also all real numbers
Calculate the mass of 245 mL of benzene if the density of benzene is 0.8765 g/mL.
Answer: 214.7425g
Step-by-step explanation:
Total benzene = 245mL
Density of benzene = 0.8765g/mL
Which means there is 0.8765g benzene per mL
Mass = 245×0.8765
= 214.7425g
Therefore there is 214.7425g of mass in 245mL benzene
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If the density of benzene is 0.8765 g/mL, the mass of benzene is 214.74 grams.
Given the following data:
Density of benzene = 0.8765 g/mL Volume of benzene = 245 mLTo find the mass of benzene:
Density is mass all over the volume of a substance or an object.
Mathematically, the density of a substance is given by the formula;
[tex]Density = \frac{Mass}{Volume}[/tex]
Making mass the subject of formula, we have;
[tex]Mass = Density[/tex] × [tex]Volume[/tex]
[tex]Mass = 0.8765[/tex] × [tex]245[/tex]
Mass = 214.74 grams.
Therefore, the mass of benzene is 214.74 grams.
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Refer to Table 20-3.A
3. Accofding to the table, what percent of families in Edgerton have income levels below $69,000?
Select one:
O a. 60 percent.
O b. 80 percent.
O C. 40 percent.
O d. 20 percent.
Answer:
A. 60 Percent
Step-by-step explanation:
Quintle means 5.
Below $69,000 covers three of the five quntiles (bottom, second, and middle).
3/5 equals .6 or 60%
A 3cm x 2cm rectangle sits inside a circle with a radius of 4cm
What is the area of the shaded region
round your final answer to the nearest hundredth
The area of the shaded region is 44.24\ cm^{2}44.24 cm2
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
step 1
Find the area of circle
The area of the circle is equal to
A=\pi r^{2}A=πr2
we have
r=4\ cmr=4 cm
substitute
A=\pi (4)^{2}A=π(4)2
A=16\pi\ cm^{2}A=16π cm2
step 2
Find the area of rectangle
The area of rectangle is equal to
A=(3)(2)=6\ cm^{2}A=(3)(2)=6 cm2
step 3
Find the difference
16\pi\ cm^{2}-6\ cm^{2}16π cm2−6 cm2
assume
\pi=3.14π=3.14
16(3.14)\ cm^{2}-6\ cm^{2}=44.24\ cm^{2}16(3.14) cm2−6 cm2=44.24 cm2
If LM = x + 3, MN = 2x and LN = 24, what does x equal
Answer:
[tex]\displaystyle 7 = x[/tex]
Step-by-step explanation:
[tex]\displaystyle 24 = [3 + x] + 2x → 24 = 3 + 3x → \frac{21}{3} = \frac{3x}{3} \\ \\ 7 = x[/tex]
I am joyous to assist you at any time.
Solve for X. Geometry
Answer:
x=12
Step-by-step explanation:
QS=QR+RS
2x-11=7+x-6
x=12
Please answer this and simplify
Answer:
volume = x(x+2)(2x+1) = 2x^3+5x^2+2x
a = 2
b = 3
c = 5
d = 2
e = 2
f = 1
PLEASE PLEASE HELP I HAVE SCHOOL TMRW AND I HAVE TO FINISH THIS BY TONIGHT level two :brain teasers puzzle 15
Answer:
add each fraction together to make a whooe number
Step-by-step explanation:
for example 6/1+6/5=1 so add each fractiin together to make a whole number
Verizon charges a $40 sign up fee and $60 a month for their new hotspot. T-Mobile charges a $100 sign up fee and then $40 per month for their new hotspot. After how many months of service will the two company's fees be the same?
It will take 3 months for both company's fees be the same
Let
y = total charges
x = number of months
Verizon:
y = 40 + 60x
T-Mobile:
y = 100 + 40x
Number of months it will take both companies to charge the same fee
Equate the total charges of both companies
40 + 60x = 100 + 40x
40 - 100 = 40x - 60x
-60 = - 20x
x = -60 / -20
x = 3 months
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find the volume of each figure. Round to the nearest tenth if necessary.
Answer:
1385.4
Step-by-step explanation:
Volume=pi*r^2*h=pi*49*9=1385.4
round to the nearest place value shown
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There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?
A. 15:31
B. 46:31
C. 31:15
D. 31:46
Answer:
B. 46:31
Step-by-step explanation:
Answer:
46:31
Step-by-step explanation:
There are 46 beads in total (31 pink and 15 purple).
So, the ratio of the total number of beads to the number of pink beads is 46:31.
Hope this helps :)
can someone pls help me on number 4
Answer:
Step-by-step explanation:
Do this by converting the numbers to decimals
9 1/4 inches / 12 inches / foot = .770833 feet to 6 decimal places.
9.770833 feet is the length of the given board.
11.25 inches = 11.25 / 12 = 0.9375 feet
So the amount of board used is 9.770833/0.9375 = 10. 42222 feet used in cutting up the board.
Therefore there is 10.42222187 board cut up. The decimal is the remainder.
0.42222187 * 12 = 5.066 inches or rounded to 5 inches.
what is the equation in slope intercept form 3 y - 9= 12x
Please help I need to turn it in.
Answer:
y=4x+3
Step-by-step explanation:
3y-9=12x
+9 +9
3y=12x+9
/3 /3
y=4x+3
inverse proportion
it takes 3 hrs for two people to clean six identical rooms.
how long would it take 5 people to clean 20 of the same rooms at the same k rate
Answer:
4 hours per each room for 5 people
Step-by-step explanation:
