Answer:
P.=2(2x+5)+2(x-10)=80cm
6x-10=80
x=90/6=15cm
Area= L*W= 35*5=175 squared cm= 0.0175 squared m
A Ferris wheel is boarding platform is 2 meters above the ground, has a diameter of 48 meters, and rotates once every 5 minutes. How many minutes of the ride are spent higher than 38 meters above the ground
Answer:
Step-by-step explanation:
I discounted the 2-m ramp. If we are supposed to be looking for the length of time the ride is above 38 m from the ground, that translates to 36 m from the very bottom of the circle that is the Ferris wheel (where the wheel would meet the "ground"). I first found the circumference of the circle:
C = 48(3.1415) so
C = 150.792 m
I enclosed this circle (the Ferris wheel is a circle) in a square and then split the square in 4 parts. Each square has a quarter of the circle in it. If you divide the circumference by 4, that means that the arc length of each quarter circle is a length of 37.698 m. But that doesn't put us 36 m above the ground, that only puts us 24 m above the ground (remember the diameter of the circle is 48, so half of that is 24, the side length of each of the 4 squares). What that means to us (so far, and we are not at the answer yet) is that when the height off the ground is 24 m, a car that starts at the bottom of the ride has traveled 37.698 m around the circle. Traveling in an arc around the outside of the circle is NOT the same thing as a height off the ground. Going around a circle takes longer because of the curve. In other words, if the car has traveled 37.698 m around the outside of the circle, it is NOT 37.698 m above the ground...it's only 24 m above the ground. Hence, the reason I enclosed the circle in a square so we have both the circle's curve {arc length} and height above the ground {side of the square}). As the car travels farther along the outside of the circle it gets higher off the ground. If one quarter of the circle is 24 m above the ground, we need to figure out how much farther around the circle we need to go so we are 36 m above the ground. The height difference is 36 - 24 = 12m. we need now to find how long the arc length of the circle is that translates to another 12 m (the difference between the 24 we found and the 36 total). Using right triangle trig I found that arc length to be 12.566. The total arc length on the circle that translates to 36 m above the ground is 50.26437 m.
Going back to the beginning of the problem, the circumference of the circle is 150.792, and it makes one complete revolution in 5 minutes. That means that a car will travel 30.1584 m in 1 minute. Since this is the case, we can use proportions to solve for how long it takes to get 36 m above the ground:
[tex]\frac{m}{min}:\frac{30.1584m}{1min}=\frac{50.26437m}{xmin}[/tex] and cross multiply:
30.1584x = 50.26437 so
x = 1.6667 minutes, the time it takes to reach a height of 36 m. BUT this is not what the question is asking. The question is asking how long it's HIGHER than that 36 m. Let's think.
The car starts at the bottom of the ride, gets to a height of 36 m, keeps going around the circle to its max height of 48 m, then eventually comes back down and keeps going til it's back on the ground. That means that there is a portion at the top of the wheel that is above 36 m. If it goes 50.2647 m around the circle til it's at 36 m, then when it passes the max height and drops back to 36 m, it's 50.2647 m around the other side of the circle. We just found that to travel that 50.2647 m, it took the car 1.6667 minutes. We travel this distance twice (once meeting the height going up and then again coming down) so that takes up 3.3334 minutes.
5 minutes - 3.3334 minutes leaves us off 36 m above the ground for 1.6664213 minutes.
Which equation is correct?
cos x° = adjacent ÷ opposite
tan x° = opposite ÷ adjacent
cos x° = opposite ÷ adjacent
tan x° = adjacent ÷ opposite
Answer:
B
Step-by-step explanation:
Sin x°= opposite ÷ hypotenuse
Cos x°= adjacent ÷ hypotenuse
Tan x°= opposite ÷ adjacent
Ctg x°= adjacent ÷ opposite
The correct will bet cot x = adjacent ÷ opposite
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Using trigonometric properties we have
Sin x°= opposite ÷ hypotenuseCos x°= adjacent ÷ hypotenuseTan x°= opposite ÷ adjacentCot x°= adjacent ÷ oppositeLearn more about trigonometry here:
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X^4+x^3-6x^2-14x-12=0 Make a list of possible rational roots. Test the possible roots until you find one that produces a remainder of 0 Write the resulting cubic function. Use synthetic division to find a second root that will reduce the cubic expression to a quadratic expression
Step-by-step explanation:
The Rational Roots Test states that for a polynomial with integer coefficients, the factors of the constant / the factors of the leading coefficient are the possible rational roots.
Here, the constant (the value without an x attached to it) is -12 and the leading coefficient (the value that the x to the highest degree is multiplied by) is 1 as x⁴ is multiplied by 1. The factors of -12 are
±(1, 2, 3, 4, 6, 12), so the possible rational roots are ±(1, 2, 3, 4, 6, 12)/1 (as 1 is the only factor of 1).
Trying out a few roots until we get one that works using synthetic division, we can try
x+1 (the root is x=-1)
-1 | 1 1 -6 -14 -12
| -1 0 6 8
__________________________
1 0 -6 -8 -4
the remainder is -4, so this does not work
x+2 (the root is x=-2)
-2 | 1 1 -6 -14 -12
| -2 2 8 12
__________________________
1 -1 -4 -6 0
Therefore, x=-2 is a root and x+2 is a factor of the polynomial. The quotient of the polynomial and x+2 is
-6 + (-4)x + (-1)* x² + 1 * x³ = x³-x²-4x-6
Using the rational roots theorem, the possible roots of x³-x²-4x-6 are
±(1,2,3,6)
Starting with
x-1 (root is x=1), we have
1 | 1 -1 -4 -6
| 1 0 -4
_____________________
1 0 -4 -10
there is a remainder, so this is not a root
next, x-2 (root is x=2)
2 | 1 -1 -4 -6
| 2 2 -4
_____________________
1 1 -2 -10
there is a remainder, so this is not a root
next, x-3 (root is x=3)
3| 1 -1 -4 -6
| 3 6 6
_____________________
1 2 2 0
x-3 is a factor and 3 is a root. the quotient of (x³-x²-4x-6)/(x-3) is x²+2x+2
Please hurry I will mark you brainliest
A sunflower plant is growing at a constant rate. It was 4cm tall after 1 month and 32 cm tall after
9 months.
a) Express the growth of the plant as a rate of change.
b) Write an equation to show this relationship
Answer:
a) 3.5 cm / month
b y = 3.5(x-1) + 4, x >= 1
Step-by-step explanation:
the plant grew 32-4 = 28 cm in 9-1 = 8 months.
so, the growth rate is 28 cm / 8 months = 7 cm / 2 months, or (to norm it to a typical 1 unit denominator) 3.5 cm per month.
x = months of growth
y = height of plant
so, considering the "start" of 4 cm after one month, the equation is
y = 3.5(x-1) + 4, x >= 1
since we don't know anything about anything that happened before the first month was over, we cannot validate this equation for anything x<1.
Use the circle to represent the following situation and show how you came up with the answer.
For lunch, you stop at a Pizza Express, where they sell pizza whole or by the slice. The area of one slice of a 16" pizza is 33.49in².
✏️ What angle does one slice make
Answer:
Angle of slice (θ) = 172° (Approx.)
Step-by-step explanation:
Given:
Area of pizza slice = 16 inch²
Total area of pizza = 33.49 inch²
Find:
Angle of slice (θ)
Computation:
Area of circle = [π][r²]
Area of pizza slice = [π][r²]
[π][r²] = 33.49
[3.14][r²] = 33.49
Radius = 3.26 inch (Approx.)
Area of sector = [θ/360][π][r²]
16 = [θ/360][3.14][3.26²]
16 = [θ/360][3.14][10.6276]
16 = [θ/360][33.37]
Angle of slice (θ) = 172° (Approx.)
is 9y+3=0 a nonlinear ?
Answer:
Its not nonlinear
Step-by-step explanation:
Answer:
no, it is a linear function as y has a degree of 1
2.1: Solve the one step equation
9. 70 = -5x
10. x4 = 36
11. 7x = -54
Answer:
-14, 9 and - 54/7
Step-by-step explanation:
70=-5x, x=-144x=36, x=97x=-54, x=-54/7A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of the plastic in the pipe?
Answer: [tex]V=0.0028278\ m^3[/tex]
Step-by-step explanation:
Given
Length of the pipe [tex]l=4\ m[/tex]
Inside diameter of the pipe [tex]d_i=4\ cm[/tex]
Outside diameter of the pipe [tex]d_o=5\ cm[/tex]
Volume of the pipe
[tex]\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3[/tex]
find the indicated functional value for the floor function: f(-3/2)
a. -2
b. 0
c. -1
d. 1
Answer:
find the indicated functional value for the floor function: f(-3/2)
B. 0
Step-by-step explanation:
hope it helped.
° ° °
The indicated functional value for the floor function is option (C) -1 is the correct answer.
What is floor function?The floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted floor(x) or f(x). It gives the largest nearest integer of the specified value.
For the givens situation,
The floor function is f(-3/2).
The indicated functional value for the floor function is
⇒ [tex]f(-3/2)= f(-1.5)[/tex]
Here x = -1.5, the indicated functional value should be a greatest integer less than or equal to x.
Thus the indicated functional value of [tex]f(-1.5)[/tex] is [tex]-1[/tex].
Hence we can conclude that the indicated functional value for the floor function is option (C) -1 is the correct answer.
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Tina sends 12 text messages each day in June. A mobile phone company offers two packages. Package A: The first 100 texts each month cost 3 paisa each, the second 100 texts cost 2p each and after this the cost of each text is 1paisa. Package B: All texts cost 2paisa. Which package offers her the better value for money in 30 days? Justify your answer.
Two options are given to Tina. We find how much she pays for each option, and the one in which she pays less offers the better value.
Tina sends 12 text messages each day in June
June has 30 days, so in June, Tina sent 12*30 = 360 text messages.
Package A:
First 100 messages cost 3p, the next 100 cost $2 and after that each costs $1.
She sends 360 messages, with:
The first 100 costing 3p.
The next 100 costing 2p.
The final 360 - 200 = 160 costing 1p.
She pays:
[tex]100*3 + 100*2 + 160*1 = 660[/tex]
Package B:
2p for each message, 360 messages, so:
360*2p = 720p.
Which package is better?
Package A costs less, thus, it offers her the better value for money in 30 days.
Another example of a problem in which a person has to choose between two packages is given in https://brainly.com/question/10693932
could you pls teach me this question
Answer:
if it's area the area would be the length of the diameter of the semi circle which is the height of the triangle multiplied by the base of the triangle to find the area of the triangle then to find the area of the circle would be pie multiplied by the diameter divided by two squared
[tex]\pi \ \times 7 {}^{2} [/tex]
then the total area would be the area of the triangle plus the area of the half circle
The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cause of the camera, exclusive of the sales tax?
Answer:
The base cost of the camera, exclusive of sales tax, is $160.
Step-by-step explanation:
Set up this equation and solve for x, which is the cost of the camera:
$3.20 = $0.02x [0.02 = 2%]
Solve the equation by dividing $3.20 by 0.02. The answer is $160.
Answer: $160 for the camera
Step-by-step explanation:
0.2x160=3.2
$160
if a = 4 b = 5 find the value of a^2+ab^2+y^2
Answer:
121
Step-by-step explanation:
Given,
a = 4
b = 5
a² + ab² + b²
= 4² + 5 x 4² + 5²
= 16 + 80 + 25
= 121
En una granja hay un gallo, un canario y un
azulejo. Supón que el gallo canta cada
7 minutos, que el canario lo hace cada 14
minutos y el azulejo, cada 22 minutos. Si
en este momento cantaran al mismo tiempo las
tres aves, ¿en cuántos minutos volverán a
coincidir los tres cantos?
Los tres cantos volverán a coincidir en 154 minutos.
Dado que en una granja hay un gallo, un canario y un azulejo, suponiendo que el gallo canta cada 7 minutos, que el canario lo hace cada 14 minutos y el azulejo, cada 22 minutos, si en este momento cantaran al mismo tiempo las tres aves, para determinar en cuántos minutos volverán a coincidir los tres cantos se debe realizar el siguiente cálculo:
Debe obtenerse el múltiplo común menor entre 7, 14 y 22. Dado que todo múltiplo de 14 será también múltiplo de 7 (pues 14 no es otra cosa que dos veces 7), debe obtenerse el múltiplo común menor entre 14 y 22. Entonces, debe descomponerse ambos números en factores primos:
14/27/7X = 2 x 722/211/11X = 2 x 11Posteriormente, deben multiplicarse los factores no comunes por el factor común, es decir, 7 x 11 x 2, cuyo resultado es igual a 154. Así, los tres cantos volverán a coincidir en 154 minutos.
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A garden is rectangular with a width of 8 feet and a length of 10 feet. If it is surrounded by a walkway 2 feet wide, how many square feet of area does the walkway cover?
Answer:
The rea of walk way is 32 ft^2.
Step-by-step explanation:
width, w = 8 feet
length, L = 10 feet
width of walkway, d = 2 feet
length of outer, L' = 10 + 2 + 2 = 14 feet
Area of outer, A' = L' x w = 14 x 8 = 112 ft^2
Area of inner, A = L x w = 10 x 8 = 80 ft^2
The area of walkway = A' - A = 112 - 80 = 32 ft^2
The rea of walk way is 32 ft^2.
If the children were to share the juice equally, how much would each child get? Line plot below plz show your work
Answer:
thanks for your question it is a good question but I need other part of your paper to see 3-7 questions
Step-by-step explanation:
i think there are 8 children in totally
Answer:
2 1/3 quartsStep-by-step explanation:
According to the plot we have
Number of children:
(1 + 3 + 1 + 2 + 1) = 8Total amount of juice:
1*(1 4/6) + 3*(2) + 1*(2 2/6) + 2*(2 5/6) + 1*(3) = 10/6 + 6 + 14/6 + 34/6 + 3 = 58/6 + 9 = 9 4/6 + 9 = 18 2/3 quartsIf shared equally each of the children would get:
18 2/3 : 8 = 56/3 * 1/8 = 7/3 = 2 1/3 quartsA soccer field has a perimeter of 326 metres. Its area is 6370 square metres. What are the dimensions of the field?
Answer:
Step-by-step explanation:
chiều dài:x,x>0
chiều rộ:y
[tex]\left \{ {({x+y)*2=326} \atop {xy=6370}} \right.[/tex]
[tex]\left \{ {{x+y=163} \atop {xy=6370}} \right.[/tex]
[tex]\left \{ {{y=163-x} \atop {xy=6370}} \right.[/tex]
[tex]\left \{ {{y=163-x} \atop {x*(163-x)=6370}} \right.[/tex]
[tex]\left \{ {{y=163-x} \atop {163x-x^{2} =6370}} \right. \\[/tex]
[tex]\left \{ {{y=163-x} \atop {x_{1} =98; x_{2} =65}} \right.[/tex]
[tex]\left \{ {{y=65} \atop {x=98}} \right.[/tex]
using trig to solve for missing angle
The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a formula for determining the total population after a period of t years.
Question 4 options:
A)
A = (45,000)e–0.02t
B)
A = 45,000 + e–0.02t
C)
A = (45,000)e0.02t
D)
A = 45,000 + e0.02t
Answer:
Step-by-step explanation:
The general form of this equation is
[tex]A=Pe^{rt}[/tex] where P is the initial population, e is Euler's number (a constant), r is the rate of decay, and t is the time in years.
Therefore, filling in:
[tex]A=45000e^{-.02t[/tex]
can she get some help
Answer:
-55
Step-by-step explanation:
the sqeuence seems to be subtracting by 2 everytime.
so it will be -1,-3,-5,-7,-9,-11,-13,-15,-17,-19,-21,-23,-25,-27,-29..
the answer will be 27*-2(-54) -1(because we start at -1 , not 0)
Answer:
Step-by-step explanation:
the formula for an arithmetic sequence that is explicit is
[tex]a_n=a_1+d(n-1)[/tex] where [tex]a_1[/tex] is the first term (so -1), and d is the common difference (-2). n is the number position in the sequence. As soon as we find the formula or model for this sequence we can find any number term we want. Filling in the formula:
[tex]a_n=-1-2(n-1)[/tex] and we'll clean that up just a bit:
[tex]a_n=-1-2n+2[/tex] (I just distributed through the parenthesis) and a bit more to
[tex]a_n=-2n+1[/tex] and if we want the 21st term, fill in a 21 for n:
[tex]a_{21}=-2(21)+1[/tex] and
[tex]a_{21}=-42+1[/tex] so
[tex]a_{21}=-41[/tex]
Beaker A contains 1 liter which is 15 percent oil and the rest is vinegar, thoroughly mixed up. Beaker B contains 2 liters which is 55 percent oil and the rest vinegar, completely mixed up. Half of the contents of B are poured into A, then completely mixed up. How much oil should now be added to A to produce a mixture which is 60 percent oil
Answer:
Add 1.25 litres of oil.
Step-by-step explanation:
Contents in beaker A implies;
15% of oil in 1 litre = 0.15 litres of oil
So that, there are 0.15 litres of oil and 0.85 litres of vinegar in beaker A.
Contents in beaker B implies:
55% of oil in 2 litres = 1.1 litres of oil
So that, thee are 1.1 litres of oil and 0.9 litres of vinegar in beaker B.
Half of contents of B poured into A implies that beaker A now contains:
0.15 litres + 0.55 litres = 0.7 litres of oil
0.85 litres + 0.45 litres = 1.3 litres of vinegar
The percentage of oil in A now = [tex]\frac{0.7}{2}[/tex] x 100%
= 35%
To increase the percentage of oil to 60%, then:
0.7 litres + 1.25 litres = 1.95 litres of oil
But the new total litres of the content in beaker A = 3.25 litres
So that;
[tex]\frac{1.95}{3.25}[/tex] x 100% = 60%
Therefore, to produce a mixture which is 60% oil, add 1.25 litres of oil.
What is the total surface area of a cuboid with length 16cm, width 8cm and height 6cm?
Answer:
Step-by-step explanation:
The dimensions as a pair, appear twice for each combination.
SA = 2* 16 * 8 + 2 * 16 * 6 + 2*8* 6
That's because when you look at the figure, there are 2 places each face is positioned.
SA = 256 + 192 + 96
SA = 544
Please explain how you got the answer!
Answer:
One of the scenarios:
Reflection over y-axis, then Translation 1 unit right and 9 units downWhich constants can be multiplied by the equations so one variable will be eliminated when the systems are added together?
5x + 13y = 232
12x + 7y = 218
The first equation can be multiplied by –13 and the second equation by 7 to eliminate y.
The first equation can be multiplied by 7 and the second equation by 13 to eliminate y.
The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.
Which of the following equations has roots r = -1, x = -2, and x = 3i?
A square shaped room contains 12m' of air. If the height of the room is 3m, what is the area of the floor. Also, find the length of the floor.
Answer:
A square shaped room contains 12m³of air.If the height of the room is 3m,what is the area of the floor. find the length too.also write the method ka answer
Step-by-step explanation:
CAN YOU GUYS HELP ME PLS IM FAILING GET THIS CORRECT PLS IM FAILING BADDD ITS PYTHAGOREAN THEOREM
Answer:
the answer will be 10.81
if.you round of to the nearest tenth then 10.8 feet will be the distance from slide to the monkey bar
A 16-ounce package of frozen peas costs
85¢. Give the unit price in cents per ounce. Round to the nearest tenth of a cent.
The peas cost ___ cents per ounce.
Note: Rounding to the nearest tenth of a cent is the same as rounding to the nearest thousandth of a dollar.
Answer:
5.3 cents
Step-by-step explanation:
85/16
because all 16 ounces cost 85 cents
Answer:
5.3 cents.
Step-by-step explanation:
SOMEONE HELP ME PLEASE
Answer:
so thats 2/6 or 1/3
Step-by-step explanation:
A die has 6 sides your odds of getting 2 or lesser are 1/3 or 33%
Question 7 (1 point)
Which coordinates have a slope of 3?
(4,5) (1,4)
(6, 9) (3,0)
(-3, 0) (-6, 0)
(3, 1) (0, 2)
Answer:
(6, 9) (3, 0)
Step-by-step explanation:
Solve for each option using the slope formula:
Slope formula:
m = y2 - y1 / x2 - x1
m = 4 - 5 / 1 - 4
m = -1/-3
m = 1/3
This is not 3.
m = 0 - 9 / 3 - 6
m = -9 / -3
m = 3
This has a slope of 3!
m = 0 - 0 / -6 - 3
m = 0/ -9
m = 0
This is not 3.
m = 2 - 1 / 0 - 3
m = 1/-3
m = -1/3
This is not 3.
