Answer:
Katie will catch up to Susan after running 33.4 h.
Step-by-step explanation:
We can find the time that takes Katie to catch up to Susan by using the following equation:
[tex] x_{f_{k}} = x_{0_{k}} + v_{0_{k}}t + \frac{1}{2}at^{2} [/tex]
Where:
[tex] x_{f_{k}} [/tex]: is the final position of Katie
[tex] x_{0_{k}} [/tex]: is the initial position of Katie = 0
[tex] v_{0_{k}}[/tex]: is the initial speed of Katie = 5.2 mi/h
a: is the acceleration = 0 (she is moving at constant speed)
t: is the time
Since Katie will catch up to Susan, the final distance traveled by Katie will be equal to the final distance traveled by Susan.
[tex] x_{f_{s}} = x_{0_{s}} + v_{0_{s}}t + \frac{1}{2}at^{2} [/tex]
[tex] x_{0_{k}} + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]
Since Susan gets a 45 minutes head start, in that time she traveled the following distance:
[tex] d = \frac{v}{t} = \frac{5 mi/h}{45 min*\frac{1 h}{60 min}} = 6.67 mi [/tex]
So, this will be the initial position of Susan.
[tex] 0 + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]
Hence, the time will be:
[tex] 5.2t = 6.67 + 5t [/tex]
[tex] t = 33.4 h [/tex]
Therefore, Katie will catch up to Susan after running 33.4 h.
I hope it helps you!
Find the equation of the line with a slope of 2 and a point of (5,11)
PLEASE HELP !!!! THANKS !!!
Answer:
y=2x+1
Step-by-step explanation:
Hi there!
We are given the slope (m), which is 2, as well as the point (5,11).
We need to find the equation of the line.
There are 3 ways to write the equation of the line, but the most common type is slope-intercept form, or y=mx+b, where m is the slope and b is the y intercept
We're already given the slope (2), so we can substitute it into the equation right away
here's the equation so far:
y=2x+b
now we need to find b.
We can do this by plugging (5,11) into the equation, as the line passes through that point.
Substitute x as 5 and 11 as y
11=2(5)+b
multiply
11=10+b
subtract 10 from both sides
1=b
substitute 1 as b into the equation
y=2x+1
Hope this helps! :)
can someone pls help me with this one !
Answer:
√26
Step-by-step explanation:
Screenshot of the solution: https : // snipboard. io / D53Cno . jpg (erase the spaces)
what is the a value of the vertex form...
y = (x - 3 )^2 - 36
Answer: I'm not smart or nun but u tryna find the graph? It's (3, -36)
Step-by-step explanation:
Kinda did it-
share 747 in the ratio 2:7 between Tom and Ben
Answer:
tom = 166, ben = 581
Step-by-step explanation:
2 + 7 = 9
747 ÷ 9 = 83
therefore 1 part = 83
83 x 2 = 166
83 x 7 = 581
tom has 2 parts so he has 166
ben has 7 parts so he has 581
Answer:
Tom has 166.
Ben has 581.
Step-by-step explanation:
2 + 7 = 9
747 ÷ 9 = 83
83 × 2 = 166
83 × 7 = 581
PLEASE HELP HURYYYYYYYYY
Answer:
273 - 153.94 = 119.1 [tex]in^{2}[/tex]
Step-by-step explanation:
area of a trapezoid - area of a circle = shaded area
[tex]-a-\frac{7}{8} a[/tex]
paso a paso
Step-by-step explanation:
-a-7a/8
-8a-7a/8
-15a/8
Hope it helps you
Answer:
Step-by-step explanation:
WE have to find the least common denominator and it is 8
[tex]-a =\frac{-a*8}{1*8}=\frac{-8a}{8}\\\\-a -\frac{7}{8}a=-\frac{8}{8}a-\frac{7}{8}a\\\\=\frac{-8a-7a}{8}\\\\=\frac{-15a}{8}\\\\[/tex]
Which terms are like terms in the following expression?
Answer:
9x and -4x
This is the answer
Solve the equation 12x + 6y = 24 for x.
Answer:
The answer is x=2-(y/2)
Step-by-step explanation:
Answer:
2 - y/2
Step-by-step explanation:
12x + 6y = 24
=> 12x = 24 - 6y
=> x = (24 - 6y)/12
=> x = 24/12 - 6y/12
=> x = 2 - y/2
Find the measure of C to the nearest degree.
Let the ∠C be : θ
From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units
Also, We can notice that Hypotenuse is 11 units
As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ
We know that :
[tex]\bigstar \ \ \boxed{\sf{Sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}[/tex]
[tex]\implies \sf{Sin\theta = \dfrac{7}{11}}[/tex]
[tex]\implies \sf{\theta = Sin^{-1}\bigg(\dfrac{7}{11}\bigg)}[/tex]
[tex]\implies \sf{\theta = 39.52^{\circ}}[/tex]
Answer : The measure of ∠C to the nearest degree is 38°
5 to the power -2 * 5x is equal to 1 solve for x
5^-2 * 5x = 1
Simplify:
5^-2 = 1/25
Now you have 1/25 * 5x = 1
1/25 x 5 = 1/5
1/5x = 1
Divide both sides by 1/5 ( when dividing by a fraction, flip the fraction over an multiply)
x - 1 x 5/1 = 5
X = 5
Answer:
x = 5
Step-by-step explanation:
This statement translates into 5^(-2)*5x = 1, which by rules of exponents simplifies to:
5x x
--------- = 1, or ----- = 1
5^2 5
Cross-multiplying, we get x = 5
Se compró un artículo en S/. 219. ¿Qué precio debe fijarse para su venta al público?, para que haciendo un descuento del 25% todavía se esté ganando el 25% del costo?
Answer:
342,1875
Step-by-step explanation:
Dado
Precio de compra del artículo = 219
Precio de venta cuando el descuento dado es 25% = 219 + 0,25 * 219 = 273,75
Para otorgar un descuento del 25%, este producto debe estar marcado a un precio un 25% más alto que los precios de venta = 273,75 + 0,25 * 273,75 = 342,1875
Queremos saber a que precio debe fijarse un articulo para que cuando le hagamos un descuento del 25%, aun tengamos una ganancia del 25% del costo del articulo. Veremos que el precio que cumple los requerimentos es $365.
Veamos como resolver el problema:
Sabemos que el costo del articulo es $219. Queremos vender este articulo a precio P.
Cuando vendamos este articulo con un descuento del 25%, queremos obtener una ganancia del 25%, entonces debemos resolver:
P*(1 - 0.25) = $219*(1 + 0.25)
P*0.75 = $219*1.25
P = ($219*1.25)/0.75 = $365
Así, podemos concluir que el precio que debe fijarse para cumplir los requisitos es $365.
Sí quieres aprender más, puedes leer:
https://brainly.com/question/8742631
Helpppppppppppppppppppppppppppppppppppppppp
Answer:
5^18
Step-by-step explanation:
since its a power to a power, you multiply so -6 x -3 = 18 so Answer = 5^18
Which parallelograms have perpendicular diagonals
Answer: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus. To prove a square, you must prove it is both a rectangle and a rhombus.
8. A warehouse 25 feet tall casts a shadow that is 15 feet long. At the same time of day, how
long is the shadow cast by an apartment building that is 90 feet?
Answer:
D
Step-by-step explanation:
Take away the volume of 480 from the volume of 3240 What is the answer? [PLEASE I NEEEEEEDDDDD IT NOWWWWWWWW PLEASEEEEEE
Answer: 2760
Step-by-step explanation:
What is the length of the side opposite D?
units=
sin(D) =
Applying the Sine Ratio Warm up
Edge 2021
Answer:
5 units
sin(D)= 5/13
Step-by-step explanation:
i just did the question
Can you do it thank for answer
Answer:
Step-by-step explanation:
a) 5 > 4 +x
4 + x < 5
Subtract 4 from both sides
x < 5 - 4
x < 1
b) 2 ≤ 6c + 14
6c + 14 ≥ 2
Subtract 14 from both sides
6x ≥ 2 - 14
6x ≥ - 12
Divide both sides by 6
x ≥ -12/6
x ≥ -2
c) -4 > 2b
2b < - 4
Divide both sides by 2
b < -4/2
b < -2
d)
[tex]7 \leq \frac{a}{3}[/tex]
[tex]\frac{a}{3} \geq 7\\\\a \geq 7*3\\\\a \geq 21[/tex]
Answer:
Below.
Step-by-step explanation:
(a). 5 > 4 + x
4 + x < 5 (Note that the sign is flipped)
x < 5 - 4
x < 1.
(b) and (c) are solved in the same way.
(d) 7 <= a/3
a/3 >= 7
Multiply both sides by 3
a >= 21.
(e) - as above.
(f) 6 >= 3(p + 2) - 11
3(p+2) - 11 <= 6
3p + 6 - 11 <= 6
3p - 5 <= 6
3p <= 6 + 5
3p <= 11
p <= 11/3.
4 out of every 12 children in a school are girls. What is the ratio of boys to girls in the school?
Answer:
1:3. That's the answer to this question.
OD
2. Given that x + 3 = -2. Find the value of x. (Diberi x + 3 = -2. Cari nilai x.) *
A. 1
B. - 1
C. 5
D. -5
Answer:
D
Step-by-step explanation:
Given
x + 3 = - 2 ( subtract 3 from both sides )
x = - 5
A small plastic ball has a diameter of 8 centimeters. What is the volume of the ball
Given:
Diameter of ball = 8 cm
To find:
The volume of the ball.
Solution:
We know that the radius of sphere is half of is diameter.
It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:
[tex]r=\dfrac{8}{2}[/tex]
[tex]r=4[/tex]
The radius of the ball is 4 cm.
The volume of a sphere is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere.
Putting [tex]\pi = 3.14, r=4[/tex] in the above formula, we get
[tex]V=\dfrac{4}{3}(3.14)(4)^3[/tex]
[tex]V=\dfrac{4}{3}(3.14)(64)[/tex]
[tex]V=267.946667[/tex]
[tex]V\approx 267.95[/tex]
Therefore, the volume of the ball is about 267.95.
what is the angle of ABF?
========================================
Explanation:
Ignore lines BC and FE. It might help to redraw the figure without those lines present. Refer to the diagram below. Doing this is optional if you can spot what's going on without having to erase those lines.
Notice how angles 1 and 3 are congruent corresponding angles, due to lines FJ and DC being parallel.
Since angle 3 is 55 degrees, angle 1 is also 55 degrees.
--------------
Once we determine angle 1, we subtract from 180 because angle ABF is supplementary to angle 1 (aka angle ABJ)
In other words,
(angle ABJ) + (angle ABF) = 180
angle ABF = 180 - (angle ABJ)
angle ABF = 180 - (angle 1)
angle ABF = 180 - (55)
angle ABF = 125 degrees
19. Which of the following are examples of segments
from the figure?
BCD
D
CA
BAD
DA
AB
BD
Answer:
BCD
Step-by-step explanation:
You can easily find out by the points at the end of line. These points indicate that this is line segment.
Help,anyone can help me do quetion.
Answer:
Step-by-step explanation:
angle y +60 = 180 degree (being adjacent angles of a trapezium )
angle y =180 - 60
angle y =120 degree
angle x+30 degree = 180 degree (being opposite angles of a trapezium)
angle x =180 - 30
angle x=150 degree
75 + 145 + 90 + y = 360 degree (sum of angles of a quadilateral is 360 degree)
310 + y = 360
y = 360 - 310
y = 50 degree
Which is a quadratic function?
A y = X-9
B y = x² +9
C y = x + 2x -9
Answer:
B y = x² +9
Step-by-step explanation:
A quadratic function must have the highest power of x being x^2 and must have an x^2 term
A y = X-9 - linear
B y = x² +9 quadratic
C y = x + 2x -9 - linear
8⁵×8×8²
hejshsksjkshakshasjskw
Step-by-step explanation:
=8^5×8×8^2
=32768×8×64
=16777216
hope it helps
stay safe healthy and happy....Answer:
[tex] {8}^{5} \times 8 \times {8}^{2} = 16777216[/tex]
Step-by-step explanation:
[tex] {8}^{5} = 32768[/tex]
[tex]8 = 8[/tex]
h
that is all
Triangle X W Y is shown. The length of side X W is 5. The length of side W Y is 11. The length of Y X is 7. What is the order of the angles from largest to smallest? Angle W, Angle X, Angle Y Angle X, Angle W, Angle Y Angle X, Angle Y, Angle W Angle Y, Angle W, Angle X
Answer:
Step-by-step explanation:
The angle opposite to longest side is the largest angle.
WY is the longest side. ∠x is the greatest
Arrange sides from largest to smallest
WY > YX > XW
∠X > ∠W > ∠Y
Answer:
angle X, angle W, and angle Y
Step-by-step explanation:
got it right on edge
help, with this question please. i’m not sure if anyone’s asked it yet.
are u taking a test Sir??
find the value of x in |2x_5|+7=20
Answer:
can you plz rewrite the question I want to help but I can't see it. you can even take a picture of the question.
Fill in the blank: 9(4x + 5) = 36x +
Answer:
45
Step-by-step explanation:
9(4x + 5)
9*4x + 9*5
36x + 45
Answer:
45Step-by-step explanation:
9*4x +9*5
= 36x + 45
Bye
:-)
Dos personas A y B , se encuentran en la orilla de un río, separadas entre sí 200 m y en la orilla opuesta en el punto C, se encuentra otra persona. Los ángulos CAB= 65° y CBA = 57° .¿A que distancia de A se encuentra la persona C?. ayudaaaa porfaaaa):
Answer:
La distancia de C con respecto a A es de 197.788 metros.
Step-by-step explanation:
A manera de imagen adjunta construimos una representación del enunciado del problema, la cual representa a un triángulo cuyos tres ángulos son conocidos y la longitud del segmento AB, medida en metros, son conocidos. Por medio de la Ley del Seno podemos calcular la longitud del segmento AC (distancia de C con respecto a A), medida en metros:
[tex]\frac{AB}{\sin C} = \frac{AC}{\sin B}[/tex] (1)
Si sabemos que [tex]B = 57^{\circ}[/tex], [tex]C = 58^{\circ}[/tex] y [tex]AB = 200\,m[/tex], entonces la longitud del segmento AC es:
[tex]AC = AB\cdot \left(\frac{\sin B}{\sin C} \right)[/tex]
[tex]AC = (200\,m)\cdot \left(\frac{\sin 57^{\circ}}{\sin 58^{\circ}} \right)[/tex]
[tex]AC = 197.788\,m[/tex]
La distancia de C con respecto a A es de 197.788 metros.
