Answer:
Dimensions of 1st rectangle,
length = 39 cm, width = 21 cm.
Dimensions of the 2nd rectangle,
length = 78 cm, width = 7 cm.
Step-by-step explanation:
Let the dimensions of the 1st rectangle be,
Length = x, width = y
so the dimensions of the 2nd rectangle becomes,
Length = 2x, width = y/3
perimeter of the first rectangle,
2(x+y)=120 --------- (i)
perimeter of the 2nd rectangle,
2(2x+y/3)=170 ---------(ii)
if we solve equation (i) and (ii), we'll get,
x = 39
y = 21
for the other rectangle, 2x = 78, y/3 = 7.
Answered by GAUTHMATH
Answer pleaseeeeeee !!!!
Answer:
Option C.
Step-by-step explanation:
Ok, first we know that:
Tan(0) = 0
While in the graph, we can see that:
f(0) = -2
Then our function will be something like:
f(x) = tan( k*x) - 2
We also can see that the graph has asymptotes at x = π/2 and at x = -π/2
While the normal tangent equation has the asymptotes at x = pi
So here we have that:
k*(pi/2) = pi
k = pi*(2/pi) = 2
k = 2
then the function is something like:
f(x) = tan(2*x) - 2
If we look at the options, we can see one that is:
tan( 2*(x + π)) - 2
we can rewrite this as:
tan(2*x + 2π) - 2
And remember that the period of a trigonometric function is 2π
This means that:
tan(a + 2π) = tan(a)
Then:
tan(2*x + 2π) - 2 = tan(2*x) - 2
Which is the function that we found.
Then the correct option is C
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You can convert or translate mathematical expressions into verbal statements and verbal statements into mathematical expressions by using the following: (Select all that apply)
question mark
periods
capital letters
commas
commas and capital letters
30 members of a local gym were randomly selected to answer a survey. The selected gym members were between the ages of 50 and 65. Does that mean that all of the gym members are between the ages of 50 and 65?
Answer:
no
Step-by-step explanation:
no, only the selected were from that ages that doesnt mean they are ALL in that age range
Not all the members who are randomly selected, are between the ages of 50 and 65.
What is the procedure of random selection?"Random Selection is a procedure of collecting a sample for a particular experiment in a truly random way."
30 members of a local gym were randomly selected to answer a survey.
The selected gym members were between the ages of 50 and 65.
Therefore, not all the members are between the ages of 50 and 65.
Only those 30 members who are selected randomly, fall in the age group of 50 and 65.
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Find the first six terms of the sequence.
a1 = -5, an = an-1 + 8
Answer:
- 5, 3, 11, 19, 27, 35
Step-by-step explanation:
Using the recursive rule and a₁ = - 5
a₂ = a₁ + 8 = - 5 + 8 = 3
a₃ = a₂ + 8 = 3 + 8 = 11
a₄ = a₃ + 8 = 11 + 8 = 19
a₅ = a₄ + 8 = 19 + 8 = 27
a₆ = a₅ + 8 = 27 + 8 = 35
The first six terms are - 5, 3, 11, 19, 27, 35
hi i need help with this 2 questions ASAP its due in 5 minutes and I'm begin from the 24 questions HELLLLLPPPPP
Answer:
6-1 7-3
Step-by-step explanation:
Sarah and her 3 friends split a bag of candy evenly. They each ate 13 pieces of candy and there were 2 pieces leftover. How many pieces of candy were originally in the bag
Una empresa fabrica dos productos, X y Y. Cada cantidad del articulo X producida requiere dos horas de trabajo en una taladradora, y cada unidad del articulo Y, cinco horas de trabajo en la taladradora. La empresa tiene un máximo de 40 horas de trabajo para la taladradora en la semana. La expresión algebraica que modela esta situación es: 2x +5y<40. a)Graficar dicha expresión b) ¿Es posible fabricar 10 unidades del producto X y 5 unidades del producto Y ?Justificar
Answer:
la respuesta esta abajo
Step-by-step explanation:
a) Sea x el número del artículo x mientras que y representa el número del artículo y.
Dado que cada cantidad de artículo x requiere 2 horas de trabajo de perforación, mientras que cada cantidad de artículo y requiere 5 horas de trabajo de perforación. Hay un máximo de 40 horas disponibles, por tanto el modelo se da como:
2x + 5y ≤ 40
b) La trama se trazó utilizando la herramienta gráfica en línea de geogebra.
c) Para 10 unidades de X y 5 unidades de y:
2 (10) + 5 (5) = 45> 40
Por lo tanto, esto no sería posible porque requerirá 45 horas de perforación, lo que es más que el máximo de 40 horas disponibles.
I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!
Answer:
1. 160 min
2. 84 min
3. 5:12 p.m.
4. 6:40 p.m.
5 a 4:44 p.m.
b 7:14 p.m.
The formula below gives the area of a semi-circle, A, with a radius of r.
Solve the formula for the radius
The area of a semicircle with respect to radius is √2A/π sq. units.
What is a semicircle?A semicircle is half of a circle. It is a 2D shape formed when a circle is cut into two equal parts. We can create two semi-circles from any circle.
The area of a semicircle = π × radius² / 2
So, the area with respect to radius will be =
A = π × radius² / 2
2A = π × radius²
2A / π = radius²
Radius = √2A/π
Hence, the area of a semicircle with respect to radius is √2A/π sq. units.
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find the perimeter of this figure to the nearest hundredth. Use 3.14 to approximate π.
Answer:
P = 40.56 ft.
Step-by-step explanation:
Answer:
40.56
Step-by-step explanation:
If you place a 20 ft ladder 4ft from the base of the wall. How high up will it reach? Round answer to the nearest tenth
Answer:
h = 19.6 ft
Step-by-step explanation:
Given that,
A 20 ft ladder 4ft from the base of the wall.
The height of the ladder, H = 20 ft
The base distance, b = 4 ft
We need to find the height of the reach. Let it is P.
Using Pythagoras theorem,
[tex]H^2=b^2+P^2\\\\P=\sqrt{H^2-b^2}\\\\P=\sqrt{20^2-4^2}\\\\=19.59\ ft[/tex]
or
P = 19.6 ft
So, the height is 19.6 ft.
Tasha is planning an expansion of a square flower garden in a city park. If both the length and the width of the original garden are each increased by *3m*, the new total area of the garden will be *49* squared meters. Find the length of each side of the original garden.
Answer:
4 m
Step-by-step explanation:
Since the flower garden is square :
Both length and width are equal :
Let :
Original side length = x
Increased length = x + 3
Area of square = s² (s = side length)
New area = 49 m²
That is ;
(x + 3)² = 49
Original length, x can be calculated thus ;
Take square root of both sides
x + 3 = √49
x + 3 = 7
x = 7 - 3
x = 4
Hence, original length of each side = 4 m
Yk help me bru In the straight edge and compass construction of the angle bisector below which of the following reasons can be used to prove that angle DGB = angle EGB
Answer:
The correct Option is B
Step-by-step explanation:
Two Angles that are equal to the same angle must themselves be equal (Transitive property of equality)
BD = BE, because they are radii of the same circle. DG = EG because they are sides f equilateral triangle DEG. Therefore, the correct option is option A.
What is angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves.
Angle can also refer to the size of such an angle or maybe a rotational angle. The length of such a circular arc divided by its radius is the traditional definition of this metric, which may also be signed. BD = BE, because they are radii of the same circle. DG = EG because they are sides f equilateral triangle DEG.
Therefore, the correct option is option A.
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What is the approximate result of converting 20 centimeters into inches? Remember that 1 inch = 2.54 centimeters.
Answer:
7.874 inches
Step-by-step explanation:
20/2.54=7.874
Answer:
7.87
Step-by-step explanation:
1/x = 2.54/20
2.54x = 20
x = 20/2.54
x = 7.87401574803
x = 7.87
Select the correct answer.
What is a similarity between life insurance and property and casualty insurance?
A.
Employers usually provide both types of insurance.
B.
Both types cover lost income if you’re unable to work.
C.
Neither type offers benefits unless you suffer a loss.
D.
Neither type charges any premium after a certain period.
Answer:
C.
Step-by-step explanation:
The similarity between these types of insurance is that neither type offers benefits unless you suffer a loss. In either type of insurance you would either need to lose your life or lose a piece of property. It is then that the insurance company will pay what the insurance contract states. Until such a time that the loss is incurred, the insurance does not provide any benefit to you or your family members.
Answer:
C. Neither type offers benefits unless you suffer a loss.
Step-by-step explanation:PLATO
.178 as a fraction on simplest form
Answer:
89/500
Step-by-step explanation: