Answer:
The distance is 6.9115 miles.
Step-by-step explanation:
To solve this problem we can use a rule of three.
The length of a circumference is 2*pi*r, and if we have a fraction of the whole arc, we have that:
360 degrees -> arc of 2*pi*r
6 * (1/60) degrees -> arc of x
So we have that:
[tex]x * 360 = (1/10) * 2*\pi*r[/tex]
[tex]x = (1/10) * 2 * \pi * 3960 / 360[/tex]
[tex]x = (1/5) * \pi * 11[/tex]
[tex]x = (11/5)*\pi = 6.9115\ miles[/tex]
The distance is 6.9115 miles.
⚠️For ALL of y’all who said the answer was letter D, was INCORRECT!!
‼️Someone tell me what the right answer is
❤️Thanks in advance
Answer: B) 76.86
Step-by-step explanation:
Follow the steps others took to get D, then divide by 12 to get 76.86
Hope it helps <3
Help me please thanks must be accurate
Answer:
Answer B (The cost of fabric compared to its length)
Step-by-step explanation:
The cost of fabric is directly proportional to the length of fabric one is buying. That constant of proportionality is telling you that there is a constant rate of change in units of cost per length.
The other options are much more randomly varying.
Find the solutions to the equation below.
6x^2+ 5x - 4 = 0
A. x= - 4/3
B. X = -2
C. X= 4
D. x= - 1/3
E. x= 1/3
F. x = 1/3
Answer:
F x=1/2
Step-by-step explanation:
Find the amount of each payment to be made into a sinking fund which earns 5% compounded quarterly and produces S47,000 at the end of 35 years Payments are made at the end of each period The paym ent size is $ (Round to the nearest cent.)
Answer:
$8,355.555
Step-by-step explanation:
Hello,
This question relates to compound interest and to solve it, we'll need to use the right formula.
C.P = P(1 + r/n)^nt
C.P = compound interest
P = principal
R = rate
N = number of times compounded
T = time
C.P = $47,000
P = ?
R = 5% = 0.05
N = 4
T = 35 years
Substituting the variables into the equation,
47,000 = P (1 + 0.05 / 4) ^ (4 × 35)
47,000 = P (1.0125) ^ 140
47,000 = P × 5.625
Divide both sides by 5.625 and solve for P
P = 47,000 / 5.625
P = $8,355.555
The initial investment was $8,355.555
Find the product of 2x and 3.
Answer:
6x
Step-by-step explanation:
Product is multiplication.
2x × 3
Multiply.
2 × x × 3
= 6x
Convert 5.86 to a percent. A. 586% B. 58.6% C. 5.86% D. 0.0586%
Answer:
586%
Step-by-step explanation:
5.86 times 100 to change to a percent
586 %
Answer:
A. 586%
Step-by-step explanation:
Multiply 5.86 by 100.
Drop the decimal.
Add the percent symbol.
The area of a rectangle is 42 square millimeters. The length is 7 millimeters. What is the perimeter of the rectangle?
Answer:
P=26
Step-by-step explanation:
Answer:
Step-by-step explanation:
Begin with the fact that the area of a rectangle is A = L * W. We know that the area is 42 and the length is 7, therefore, we can sub those values into the area formula to solve for the width.
42 = 7 * W so
w = 6 mm.
The perimeter formula is P = 2L + 2W, and now we know L and W. So
P = 2(7) + 2(6)
P = 14 + 12
P = 26
What is the probability of choosing a card that does not have a digit 1 on it? Give the answer as a fraction numbers: 1,2,3,4,5,6,7,8,9,10
Answer:
8/10
Step-by-step explanation:
There's ten numbers altogether and there are two numbers with the digit one, 1 and 10. 10-2=8
8/10
What is the highest common factor (HCF) of 9 and 15?
Answer:
3
Step-by-step explanation:
9's factor is 1, 3, 9.
and 15's factor is 1, 3, 5, 15.
so, the answer is 3.
expanding brackets (x + 3)(x + 10)
Answer:
x² + 13x + 30
Step-by-step explanation:
(x + 3) (x + 10)
Expand the brackets.
x(x + 10) + 3(x + 10)
x² + 10x + 3x + 30
Add like terms.
x² + 13x + 30
Answer:
=x²+13x+30 is the answer
Step-by-step explanation:
=(x+3)(x+10)
opening the brackets by multiplying
=x(x+10)+3(x+10)
=x²+10x+3x+30
=x²+13x+30
i hope this will help you :)
Select three side lengths, in centimeters (cm), that can form a right triangle. Use the Pythagorean Theorem.
A. 5cm
B. 6cm
C. 8cm
D. 10cm
E. 11cm
F.12cm
The side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.
What is a right-angle triangle?It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
We know that Pythagoras theorem:
[tex]\rm Hypotenuse^2 = Perpendicular^2 + Base^2[/tex]
10² = 8² + 6² = 64+36 = 100
Thus, the side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.
Learn more about the right angle triangle here:
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5x^3 − 2x^2 + 3x − 8 - (2x^2 + 4)
Answer:
5x^3 - 2x² +3x -8 -(2x²+4)5x^3 - 2x² + 3x - 8 -2x²-45x^3 - 4x²+3x-12Please answer please correct
Answer:
[tex]\overrightarrow{VU}\text{ and }\overrightarrow{VW}[/tex]
Step-by-step explanation:
The sides of an angle are rays. A ray is named by first naming its end point, then a point on the ray.
Here, the lower side is ray VU. The vertical side is ray VW.
If you have the symbols available, you can indicate the feature is a ray by putting a single-ended arrow over the name. The arrowhead is over the point that is not the vertex of the angle. Here, the sides of angle UVW are ...
[tex]\overrightarrow{VU}\text{ and }\overrightarrow{VW}[/tex]
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is
Answer:
90 inches
Step-by-step explanation:
The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...
(3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches
Two consecutive odd whole numbers are selected. The difference between the reciprocals of the two numbers is 2/143. Determine the two numbers.
Answer:
The numbers are 11 and 13
Step-by-step explanation:
Let
the first odd whole number=x
Reciprocal=1/x
Second odd whole number=x+2
Reciprocal=1/x+2
The difference
(1/x) - 1/(x+2)=2/143
(x+2)-x / (x)(x+2)=2/143
x+2-x/x(x+2)=2/143
2/x(x+2)=2/143
2(143)=2(x^2+2x)
286=2x^2+4x
2x^2+4x-286=0
x^2+2x-143=0
Solve the quadratic Equation
x=-b +or- √b^2-4ac/2a
a=1
b=2
c=-143
x= -b +or- √b^2-4ac/2a
=-2 +or- √(2)^2-(4)(1)(-143) / 2(1)
= -2 +or- √4-(-572) / 2
= -2 +or- √4+572/2
= -2 +or- √576/2
= -2 +or- 24/2
x= -2+24/2
= 22/2
=11
Or
x= -2-24/2
= -26/2
= -13
Taking the positive value
x=11
The second odd whole number=x+2
=11+2
=13
Which of the following represents a function?
Answer:
Hey there!
Choice A represents a function, because a function only has one y value for every x value.
Hope this helps :)
Answer:
A
Step-by-step explanation:
In a function, the x value can only go to one y value
B has x=5 going to y = 13 and y = 17
C had x = -3 with y values of 1 and -1
D has x = -4 going to y = 52 and 16
A each input has only one output value
Need help please, thanks if you do :)
Answer:
Step-by-step explanation:
Orchestra Seats: Balcony seats + 7Orchestra Seats: 600Balcony Seats: 120Total Amount of Sales: 13,560A.) 600 x 20 = 12,000
120 x 27 = 3,240
12,000 + 3,240 = 15,240
B.) 600 x 13 = 7,800
120 x 20 = 2,400
7,800 + 2,400 = 10,200
C.) 600 x 18 = 10,800
120 x 25 = 3,000
10,800 + 3,000 = 13,800
D.) 600 x 11 = 6,600
120 x 18 = 2,160
6,600 + 2,160 = 8,760
Can someone please help me!!!
Answer: The next step will be 2x - 1 = 9
Step-by-step explanation:
4x -1 = 2x + 9
-2x -2x
2x -1 = 9
+1 +1
2x= 10
x= 5
Answer:
2x-1=9
Step-by-step explanation:
2x-1=9
4x-2x-1=2x-1
2x-2x+9=9
2x-1=9
PLEASE HELP ME LAST QUESTION!!!!!!
Answer:
Angle 5
Step-by-step explanation:
Answer:
Angle 5
Step-by-step explanation:
Angle 8 is across from angle 5 meaning they have the same degrees.
If my score goes up 20,000 a day how long will it take me to reach 2,000,000
Answer:
It would take 100 days
Step-by-step explanation:
2,000,000 divided by 20,000 equals 100
So it would take 100 days
The two lines graphed below are not parallel.How many solutions are there to system of equations
we need the graph/ lines,
but just remember
wherever 2 lines intersect, that is a solution
if they are paralell, no solutions
if they cross, 1 solution
if they are the same line/ the lines are on top of each other exactly, infinite solutions
How do you work out 1/5 divided by 4?
Answer:
1/20.
Step-by-step explanation:
Dividing by 4 is the same as multiplying by 1/4 so
1/5 / 4
= 1/5 * 1/4
= 1 /(5*4)
= 1/20.
Answer:
[tex] \frac{1}{20} [/tex]Step-by-step explanation:
[tex] \frac{1}{5} \div 4[/tex]
Flip the second fraction and multiply
Dividing fraction is exactly same as multiplying the reciprocal
[tex] \frac{1}{5} \times \frac{1}{4} [/tex]
Multiply the fractions
[tex] \frac{1 \times 1}{5 \times 4} [/tex]
Calculate
[tex] \frac{1}{20} [/tex]
Hope this helps...
Good luck on your assignment...
An angle whose measure is _302° is in standard position. In which quadrant does the terminal side of the angle fall?
O Quadrant 1
O Quadrant 11
O Quadrant III
O Quadrant IV
Answer:
Quadrant IV
Step-by-step explanation:
An angle whose measure is _302° is in standard position the terminal side of the angle fall in Quadrant IV
. Luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando, Alfredo gana en forma consecutiva sus 3 últimos juegos: 1/2, 1/4 y 1/6 de la cantidad que iba acumulando retirándose con s/. 70. ¿Cuánto tenía al inicio?
Answer:
Alfredo tenía 80 soles peruanos al inicio.
Step-by-step explanation:
La descripción del problema puede traducirse a las siguientes ecuaciones matemáticas:
Luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando:
[tex]y = \left(1 - \frac{1}{3}\right)\cdot x[/tex]
[tex]z = \left(1 - \frac{2}{5}\right)\cdot y[/tex]
Donde:
[tex]x[/tex] - Monto inicial, medido en soles peruanos.
[tex]y[/tex], [tex]z[/tex] - Montos remanentes después de pérdidas, medidos en soles peruanos.
Se reduce el sistema de ecuaciones:
[tex]z = \left(1-\frac{2}{5}\right)\cdot \left(1-\frac{1}{3} \right)\cdot x[/tex]
[tex]z = \frac{2}{5}\cdot x[/tex]
Gana en forma consecutiva sus 3 últimos juegos:
[tex]u = \left(1+\frac{1}{2} \right)\cdot z[/tex]
[tex]v = \left(1 + \frac{1}{4} \right)\cdot u[/tex]
[tex]w = \left(1+\frac{1}{6} \right)\cdot v[/tex]
Donde:
[tex]z[/tex] - Monto inicial, medido en soles peruanos.
[tex]u[/tex], [tex]v[/tex], [tex]w[/tex] - Montos remanentes después de ganancias, medidos en soles peruanos. (Donde w es el monto final).
Se reduce el sistema de ecuaciones:
[tex]w = \left(1+\frac{1}{2} \right)\cdot \left(1+\frac{1}{4} \right)\cdot \left(1+\frac{1}{6} \right)\cdot z[/tex]
[tex]w = \frac{35}{16}\cdot z[/tex]
Si [tex]w = 70[/tex], el monto inicial es:
[tex]z = \frac{16}{35}\cdot w[/tex]
[tex]z = \frac{16}{35} \cdot (70)[/tex]
[tex]z = 32[/tex]
Ahora,
[tex]x = \frac{5}{2} \cdot z[/tex]
[tex]x = \frac{5}{2}\cdot (32)[/tex]
[tex]x = 80[/tex]
Alfredo tenía 80 soles peruanos al inicio.
Al inicio Alfredo tenía $80.
Determinación de cantidadesDado que, luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando, Alfredo gana en forma consecutiva en sus 3 últimos juegos 1/2, 1/4 y 1/6 de la cantidad que iba acumulando retirándose con $70, para determinar cuánto tenía al inicio se debe realizar el siguiente cálculo:
((((0.66X) x 0.6) x 1.5) x 1.25) x 1.16 = 70((((0.66X) x 0.6) x 1.5) x 1.25) = 70 / 1.16(((0.66X) x 0.6) x 1.5) = 60 / 1.25(((0.66X) x 0.6) x 1.5) = 60 / 1.25((0.66X) x 0.6) = 48 / 1.50.66X = 32 / 0.6X = 53.333 / 0.66 X = 80Por lo tanto, al inicio Alfredo tenía $80.
Aprende más acerca de determinación de cantidades en https://brainly.com/question/13806160
A coordinate plane. Which expression could help you find the distance between (10, 4) and (–6, 4)?
Answer:
d=16
Step-by-step explanation:
d: distance (10,4),(-6,4)
d=√(x2-x1)^2+(y2-y1)^2
d=√(-6-10)^2+(4-4)^2
d=√16^2
d=16
Answer:
go 4 to right or where is positive then thats it
Step-by-step explanation:
lololololololololololololol
After driving half the way from the city to the Zoo, I passed a tour bus traveling at an average speed of 78 km/h in the opposite direction from the Zoo to the city. When I reached the Zoo 20 minutes after passing the bus, the bus was still 14 km from the city. How far was the Zoo from the city? Can someone please solve this for me?
Answer:
The distance from the Zoo to the city is 80 km
Step-by-step explanation:
The given information are;
The speed of the tour bus = 78 km/h
The point of passing the tour bus = Half way between the city and the Zoo
The time taken after passing the tour bus when it was still 14 km from the city = 20 minutes = 20/60 hour = 1/3 hour
Therefore, we have that the distance covered by the tour bus in 1/3 hour = Time ×Speed = 1/3×78 = 26 km
The distance remaining for the tour bus to reach the city = 14 km
The total distance from the time of observation of the tour bus = Half the distance from the city to the Zoo
Also, the total distance from the time of observation of the tour bus = 26 km + 14 km = 40 km
∴ 40 km = Half the distance from the city to the Zoo
Which gives;
The distance from the Zoo to the city = 2 × 40 km = 80 km.
What are the solutions to the equation x minus StartFraction 7 Over x EndFraction = 6
The solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
We have equation:
[tex]\rm x-\dfrac{7}{x}=6[/tex]
After simplifying:
[tex]\rm x^2 -7 = 6x\\\\x^2-6x-7=0[/tex]
[tex]\rm x^2 +x-7x-7=0[/tex]
(x + 1)(x - 7) = 0
x = -1 or x = 7
Thus, the solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7
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Answer:
C) x= -1 and x=7
Step-by-step explanation:
Together, Dante and Mia have a total of 350 pennies in their piggy banks. After Dante lost ½ of his pennies and Mia lost ⅓ of her pennies, they both had an equal number of pennies. Altogether, how many pennies did they lose?
Answer:
Altogether they lost 150 pennies.
Step-by-step explanation:
X = Dante's pennies
Y = Mia's pennies
X + Y = 350 1/2 X = 2/3 Y
X = 4/3 Y
4/3 Y + Y = 350
7/3 Y = 350
Y = 350 * 3/7
Y = 50 * 3
Y = 150
X + 150 = 350
X = 200
1/2 * 200 = 2/3 * 150
100 . = 100
1/2 * 200 = 100 -> Dante lost 100 pennies
1/3 * 150 = 50 -> Mia lost 50 pennies
Altogether they lost 150 pennies.
BRAINLIEST PLEASE HELP!!!!
Answer:
A. 2x + (-x + 2) = -1
Step-by-step explanation:
Well if we use x + y = 2 as the substitute we need to solve for y.
x + y = 2
-x to both sides
y = -x + 2
Substitute
2x + (-x + 2) = -1
Thus,
the answer is A. 2x + (-x + 2) = -1.
Hope this helps :)
I NEED HELP PLEASE, THANKS! :)
Answer: [tex]\bold{log_5\bigg(\dfrac{x^5}{(8-x)^{\frac{1}{4}}}\bigg)}[/tex]
Step-by-step explanation:
Notes: Coefficients condense to exponents.
Subtraction condenses to division
[tex]5\log_5(x)-\dfrac{1}{4}\log_5(8-x)\\\\\\=\log_5(x)^5-\log_5(8-x)^\frac{1}{4}\\\\\\=\large\boxed{\log_5\bigg(\dfrac{x^5}{(8-x)^\frac{1}{4}}\bigg)}[/tex]