Assume that y varies inversely with x. If y = 4 when x = 6, find y when x = 2
Answer:
y = 12
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 4 when x = 6, then
4 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )
24 = k
y = [tex]\frac{24}{x}[/tex] ← equation of variation
When x = 2 , then
y = [tex]\frac{24}{2}[/tex] = 12
A ladder leans against the wall of a building. The ladder measures 66 inches and forms an angle of 45 degrees with the ground. How far from the ground, in inches, is the top of the ladder? How far from the wall, in inches, is the base of the ladder?
Answer:
46.67 in
46.67 in
Step-by-step explanation:
the value of the hypotenuse (length of the ladder ) is given. We are to determine the value of the opposite side (distance from the ground) and adjacent side ( distance from the wall)
(distance from the ground = sin 45 = opposite / hypotenuse
0.7071 = x/66
x = 66 x 0.7071 = 46.67
distance from the wall = cos 45 = adjacent / hypotenuse
0.7071 = x/66
x = 66 x 0.7071 = 46.67
HELP HELPMARKING THE PERSON WHO ANSWERS THIS FIRST AS BRAINLIEST ;
1) simplify -4/5 x 3/7 x 15/16 x (-14/9)
2) value of (2/5)x(-3/7) - (-3/7)x(3/5) = ?
Answer:
5/8
that's mah answer tht is correct
Determine the equation of the circle graphed below.
We need to determine the equation of the circle graphed in the attachment. Firstly we know the Standard equation of a Circle as ,
[tex]\sf\implies (x-h)^2+(y-k)^2 = r^2[/tex]
Where ( h , k ) is centre and r is radius.Let's find out the radius . As ,
[tex]\sf\implies r = \sqrt{ ( 6-4)^2+(2+2)^2} \\\\ \sf\implies r =\sqrt{ 2^2 + 4^2}\\\\\sf\implies r = \sqrt{ 4 + 16 }\\\\\sf\implies \red{r =\sqrt{20}}[/tex]
Substituting the respective values :-
[tex]\implies ( x - 4 )^2 + \{y - (-2)\}^2 = (\sqrt{20})^2 \\\\\sf\implies ( x - 4 )^2 + \{y + 2 \}^2 = 20 \\\\\sf\implies x^2+16-8x + y^2+4+4y = 20 \\\\\sf\implies \red{x^2+ y^2 - 8x + 4y = 0 }[/tex]
Answer :-[tex]\boxed{\pink{\tt Equation \to x^2+ y^2 - 8x + 4y = 0 }}[/tex]
a pyramid has a height of 18 cm and base 12cm by 7cm find the length of the slant side
Answer:
18.57 centimeters
hey guys i have everything caught up but in science i have a 96 but a missing project. projects a worth 80 percent of your grade will i still pass? today’s the last day
Answer:
No
Step-by-step explanation:
Technically, if you didn't turn anything in then no. If it is truly 80% of your final grade then not turning anything in would drop your grade to an F immediately. Although for a single project to be worth 80% of the entire year's grade seems off. Usually, finals and projects are a large percentage, but are more around the 25% range and not 80%. Otherwise, a student could not do anything the entire year and simply do the project and still pass with a B. That is why the grading system is not usually designed like this.
please help it’s my final
Answer:
-1/2
Step-by-step explanation:
y2-y1/x2-x1 is the formula
-2-(-1)/-6-(-8) = -1/2
Hope this helps.
The area of a circle is 161 in. What is the radius?
Answer:
Approximately 7.16 in
Step-by-step explanation:
Hi there!
Area of a circle equation: [tex]A=\pi r^2[/tex] where r is the radius
Plug in the given area 161 in.²
[tex]161=\pi r^2[/tex]
Divide both sides by π to isolate r²
[tex]\frac{161}{\pi} =\frac{\pi r^2}{\pi} \\\frac{161}{\pi} =r^2[/tex]
Take the square root of both sides to isolate r
[tex]=r^2\\\sqrt{\frac{161}{\pi}} =r\\7.16=r[/tex]
Therefore, the radius of the circle is approximately 7.16 in.
I hope this helps!
409. Свеже печурке садрже 81% воде, а
суве печурке 5% воде. Колико свежих
печурака је потребно да би се добило
5 kg сувих?
409. Fresh mushrooms contain 81% water, a
dried mushrooms 5% water. How fresh
mushrooms are needed to get
5 kg dry?
Solve for X, -33= -5x+17
Answer:
5x=17+33
5x=50
x=10
Have a great day!
Answer:
182
Step-by-step explanation:
-5(-33)+17
165+17
=182
What equation is equivalent to 2 - 3 (5x+2) = 6?
A) -15x - 4 = 6
B) -15x + 4 = 6
C) -5x - 2 = 6
D) -5x + 2 = 6
I need help with this problem
may answer this pls whats 298+738
Answer:
1036
Step-by-step explanation:
Answer:
1036
Step-by-step explanation:
298 + 738 = ?
→ 298 + 738
→ 1036
If a function is defined by the formula y = 2x +1 and the domain is given by the set {3, 5, 7,9}
then which set below represents the range of the function?
(Please help)
Answer:
The range is {7, 11, 15, 19}
Step-by-step explanation:
Substitute the domain values in the formula
2x + 1
2(3) + 1 = 7
2(5) + 1 = 11
2(7) + 1 = 15
2(9) + 1 = 19
ayuda resta de fracciones
(+4/7) - (3/7)
Answer:
Step-by-step explanation:
=4/7-3/7
=4-3/7
=1/7
Answer:
Step-by-step explanation:
así que lo primero que harías es ... alinearlos así ...(el primer archivo)
Entonces para solucionarlo ...(El segundo archivo).
¡Espero que esto sea correcto y ayude!
In the figure above, lines x and y are
parallel and intersected by line p. What is
the value of a? ( please answer quickly )
Answer:
Step-by-step explanation:
a=180 -75
a=105 degree
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
5, 11, 17,...
Find the 35th term.
Answer:
35th term = 209
Step-by-step explanation:
The sequence is 5+6...+6
So since 5 is the first term, we add 34 times 6 in order to find the 35th term
5 + 34*6 = 209
In the design shown below, four semicircles are attached to a square whose area is 36 square centimeters. Which of the following is closest to the total area of the shaded semicircles, measured in square centimeters?
Answer:
56.549 cm (choice 1)
Step-by-step explanation:
If the area of the square if 36 cm, then each side is 6 cm.
That means the diameter for each semi circle is also 6 cm.
Formula for a semi circle is 1/2(πr²)
We need the radius, which is half the diameter. So the radius is 6÷2= 3
Now plug in to the formula.
A= 1/2(π3²)
A= 14.137 (nearest hundredths)
Now multiply that by 4, because there are 4 semi circles
4(14.137)= 56.549 cm (nearest hundredths)
Tina has ½ of a pan of cornbread leftover from a dinner party. She eats ½ of the leftover part the next night. How much of the whole pan does she eat? *
1/2
1/8
1/4
QUICK HELPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
First box-time
Second box-distance
Third box-correlation
Step-by-step explanation:
Horizontal is along the bottom.
Vertical in going up.
Correlation shows the relation between the horizontal and vertical axis.
Use elimination to find the solution to the system of equations. 9r + 2y = 59
2r + 5y = 4
A. I = I = 7, y = -2
В. 1 41 I = 2 , Y = 9
C. I = 5, y 14 5 55
D. 1 = 9, y = 2
Answer:
r = 7
y = -2
Step-by-step explanation:
9r + 2y = 59 (Multiply this by 5)
2r + 5y = 4 (Multiply this by -2)
45r + 10y = 295
-4r - 10y = -8
41r = 287
r = 7
2r + 5y = 4
2(7) + 5y = 4
14 + 5y = 4
5y = 4 - 14
5y = -10
y = -2
Which statement is true? 1. Parallelism are frameworks 2. A square is always a rhombus 3.A rhombus is always a square 4. A rectangle is a trapezoid
Answer:
2
Step-by-step explanation:
A square is a quadrilateral with four equal sides.
Characteristics of a square includes:
• The diagonals bisect each other at 90°.
• Opposite sides parallel and of equal length
• The four angles of a square are equal.
A rhombus is a four sides quadrilateral with the four sides equal in length
The area of a rhombus =
where p and q are the two diagonals
Volume of a pyramid = 1/3 x ( length base x height)
Please help this due today
Answer:
A
Step-by-step explanation:
just add all of them and divide it by six.
The Rosarios are taking a trip midville is 248 miles from their home border city is 6 times as for how far is border city from their home
Answer:
Border City is 1488 Miles
Step-by-step explanation:
Do 248*6
PLEASE PLEASE HELP I NEED TO ACE THIS
angle c = ___ degrees
Angle D = ABC arc / 2
x + 100 = ABC arc / 2
ABC arc = 2 × ( x + 100 )
ABC arc = 2x + 200 ( ♡ )
_________________________________
Angle B = ADC arc / 2
3x = ADC arc / 2
ADC arc = 2 × 3x
ADC arc = 6x ( ☆ )
_________________________________
ABC arc + ADC arc = 360
( ♡ ) , ( ☆ ) :
( 2x + 200 ) + ( 6x ) = 360
8x + 200 = 360
8x = 360 - 200
8x = 160
x = 160/8
x = 20
____________________________
Thus :
Angle A = 5(20) - 3 = 97 degrees
Angle B = 3(20) = 60 degrees
Angle D = 20 + 100 = 120 degrees
____________________________
Sum of the interior angles of any four-sides figures are equal 360 degrees ,
Thus :
Angle A+Angle B+Angle C+Angle D = 360
97 + 60 + Angle C + 120 = 360
Angle C + 120 + 157 = 360
Angle C + 277 = 360
Angle C = 360 - 270 - 7
Angle C = 90 - 7
Angle C = 83 degrees
An umbrella manufacturer has 1584 umbrellas to pack for shipment one case will hold 38 umbrellas how many cases will the company need to ship all of their umbrellas
Answer: 42
Step-by-step explanation:
Given
An Umbrella manufacturer has [tex]1584\ \text{Umbrellas}[/tex]
One case will hold [tex]38[/tex] Umbrellas
Number of cases required to hold all the Umbrellas are
[tex]\Rightarrow n=\dfrac{1584}{38}\\\\\Rightarrow n=41.68\approx 42[/tex]
Thus, 42 packs are required to hold all the Umbrellas
what is formula of the volume of cylinder
Answer:
v = pi r² h
Step-by-step explanation:
thats the answer
1, 9x=90
2,3x=36
find the value of x
Answer:
1. x = 10
2. x = 9
Step-by-step explanation:
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What is 150 mm in metres (m)?
A.0.015
B.0.15
C.1.5
D.15
Answer:
.15 meters
Step-by-step explanation:
answer is B
Step-by-step explanation:
150 mm is 0.15 metres
what is the y-intercept for 3x^2 + 2x - 1
Answer:
y- intercept = - 1
Step-by-step explanation:
To find the y- intercept , let x = 0 in the equation and evaluate for y
y = 3(0)² + 2(0) - 1 = 0 + 0 - 1 = - 1
y- intercept = - 1 or (0, - 1) in coordinate form
Answer:
Plug x=0 into the equation and solve the resulting equation
The y-intercept:
3x^2 + 2x - 1
3(0)^2 + 2x(0)- 1
0+0-1
-1
y=−1 is intercept for y
(0,−1)
Step-by-step explanation: