Answer:
The angle the wire now subtends at the center of the new circle is approximately 145.7°
Step-by-step explanation:
The radius of the arc formed by the piece of wire = 15 cm
The angle subtended at the center of the circle by the arc, θ = 68°
The radius of the circle to which the piece of wire is reshaped to = 7 cm
Let 'L' represent the length of the wire
By proportionality, we have;
L = (θ/360) × 2 × π × r
L = (68/360) × 2 × π × 15 cm = π × 17/3 = (17/3)·π cm
Similarly, when the wire is reshaped to form an arc of the circle with a radius of 7 cm, we have;
L = (θ₂/360) × 2 × π × r₂
∴ θ₂ = L × 360/(2 × π × r₂)
Where;
θ₂ = The angle the wire now subtends at the center of the new circle with radius r₂ = 7 cm
π = 22/7
Which gives;
θ₂ = (17/3 cm) × (22/7) × 360/(2 × (22/7) × 7 cm) ≈ 145.7°.
An experiment consists of spinning the spinner once. a). What is the probability of landing on a 2. b). What is the probability of landing on a 1? c). Is landing in each section of the spinner equally likely to occur? Explain.
Answer:
1/4 ; 3/8
Step-by-step explanation:
Probability of landing on 2 :
Required outcome = Number of 2's on spinner = 2
Total possible outcomes = Number of congruent spaces on spinner = 8
P(landing on a 2) = 2 / 8 = 1/4
Probability of landing on 1 :
Required outcome = Number of 1's on spinner = 3
Total possible outcomes = Number of congruent spaces on spinner = 8
P(landing on a 1) = 3 / 8
Landing in each section of the spinner is equally likely to occur as the spinner are divided into congruent spaces. However, landing on the labels of the spinner isn't equally likely as each label take up uneven number of congruent spaces on the spinner.
Al padre de Juan le faltan 2 años para tener el doble de la edad de su hijo. Hace 16 años el padre tenía el triple de la edad de Juan. Calcular la edad actual del padre y del hijo.
Answer:
La edad actual de Juan es 34 años y la de su padre es 70 años.
Step-by-step explanation:
De acuerdo a la información proporcionada, puedes decir que la edad del padre de Juan más 2 años es igual a dos veces la edad de su hijo, lo que se puede escribir de la siguiente forma:
x+2=2(y+2), donde: x es la edad del padre de Juan y y es la edad de Juan
x+2=2y+4
x=2y+4-2
x=2y+2 (1)
Además, dado que se menciona que hace 16 años el padre tenía el triple de la edad de Juan, puedes decir que la edad del padre de Juan menos 16 años es igual 3 veces la edad que tenía Juan:
x-16=3(y-16) (2)
Ahora puedes reemplazar (1) en (2):
2y+2-16=3y-48
2y-14=3y-48
-14+48=3y-2y
y=34
Finalmente, puedes reemplazar el valor de y en (1)
x=2(34)+2
x=68+2
x=70
De acuerdo a esto, la respuesta es que la edad actual de Juan es 34 años y la de su padre es 70 años.
Find the total surface area of the triangular prism.
Answer:
Step-by-step explanation:
The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.
What is the value of the expression: 5(3 - 70) when b = 2? Show work.
Answer:
-335
Step-by-step explanation
5x3=15
5x70=350
15-350= -335
since there is no b in your question this is the answer but if there is I might edit this
What is the area of this parallelogram?
in or in2
Answer:
answer: 20
Step-by-step explanation:
To find the area of a parellologram you just have to do base × height are base here is 10 and our height is 2 so 10 × 2 = 20 So 20 is the area! Hope that helps/explains well!
A salesperson is paid $60 per week plus $4.50 per sale. THIS WEEK, the salesperson wants to earn more than $240. How many sales must the salesperson make inorder to meet that goal?
Translated Inequality:
Inequality Solution:
Will the salesperson meet his/her goal with 40 sales? (answer yes or no):
Answer:
42 sales plz mark as brainliest
Step-by-step explanation:
60 + 4.5(x) =250
60 + 4.5x =250
4.5x = 250-60
4.5x = 190
x = 190/4.5
x= 42 sales
How many lines of symmetry does this parallelogram have
Answer:
that would be 0 lines for symmetry
Answer:
B
Step-by-step explanation:
A parallelogram has no line of symmetry but has rotational symmetry of order 2
The corner convenience store sells candy bars at 4 for $2.91. At the price, how much would the store charge for 3 candy bars?
Answer:
$2.1825 or simplified is $2.18.
Step-by-step explanation:
0.7275 per candy bars.
0.7275 x 4 = $2.91.
So according to that logic,
0.7275 x 3 = $2.1825.
What is the vertex and intercepts for y=(5x-2)(2x+3)
Answer:
vertex = [tex](-\frac{11}{20} ,-\frac{361}{40} )[/tex]
Intercepts for x = [tex](\frac{2}{5} ,0), (-\frac{2}{5} ,0)[/tex]
intercepts for y = (0,-6)
expand to write an equivalent expression -1/2 (-6x+8y)
(Pleasee help i need an answer rqqqq)
Answer:
[tex] - \frac{1}{2} ( - 6x + 8y) \\ = \frac{1}{2} (6x - 8y) \\ = 3x - 4y[/tex]
2k – 6 = 12
whats the answer
Answer:
k=9 is the answer
Add 6 on each side then gives you 2k=18
then 2 divided by 18 is 9
enter the value of x that makes the equation true.
6/x = 12/3
hi hi hi hi hi hi hi hi hi hi hi hi
9,3,5,2,5,3,5,2,2
Mean -
Median
Mode
If more than one Mode, use a "/" to separate them** (example: 1,2)
Range -
Answer:
Mean-4
Median-3
Mode-5, 2
Range-7
Step-by-step explanation:
WHOEVER ANSWERS ALL IF THESE GETS BRAINLEST AND 150 POINTS ADDED ON ACCOUNT PLSS
Answer:
37. 0 triangles
38. 1 triangle
39. Yes
40. 13 or greater
Step-by-step explanation:
According to the triangle inequality theorem, the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side, so since 5 + 8 = 13, the third side must not be 13 or greater.
Hey can someone help with this question
Answer:
1205 people per square milesStep-by-step explanation:
Population = 10 511 215Area = 8 723 square milesPopulation density is the number of people per unit of area:
10511215 / 8 723 = 1205 people per square milesPopulation density
Population/Area10511215/87231205people/mi²(please help me out )In a recent year, 33.1% of all registered doctors were female. If there were 46,600 female registered doctors that year, what was the total number of
registered doctors?
Round your answer to the nearest whole number
Answer:
im not gonna lie cat i have no clue.
Step-by-step explanation:
Answer:
140785
Step-by-step explanation:
can you like solve dis fo me 40x(4x6^3+4x)
Answer:
160x^64+160x^2
hope this helps
have a good day :)
Step-by-step explanation:
write the formulas for the volume of the cylinders
PLEASE PLEASE HELP!
Answer:
V=Bh or V=πr2h
Step-by-step explanation:
V=Bh or V=πr2h
Can someone help please
Answer:
sorry i dont know
Step-by-step explanation:
Answer:
Sorry for the long wait i was taking my cumulative exam for precal and it took a bit but i hope im correct. My brain is fried and dont know if i even came close.
Which list shows the fractions in order from least to greatest?
А
1 7 1 13
10' 24' 2' 20
1 13 7 1
2' 20' 24' 10
13 1 7 1
202 24 10
7
D
1 13 1
2' 20' 10
24
Answer:
a) 1/10, 7/24, 1/2, 13/20
FREE BRAINLIEST
Which statement best explains why all circles are similar?
A. All circles have exactly one center point.
B. The diameter of all circles is twice the length of the radius
C. All circles can be mapped onto any other circle using only translators
D. All circles can be mapped onto any other circle using a translation and dilation
Answer: All circles have a 360 degree so it think its A. All circles have exactly one center point.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Find the missing term of the following arithmetic sequence.
...5,_?_,29, ...
Answer:
13, 21
Step-by-step explanation:
d = (29 - 5)/3
d = 8
5 + 8 = 13
13 - 8 = 21
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
the 3rd option (36, 48, 60)
Step-by-step explanation:
i used a²+b² = c²
Help ASAP no links
Find all the missing elements:
A
A
C = 120°
b = 5
c= 11
A А
b C
A = [?]° B = [ ]º a = [ ]
Round to the nearest tenth.
the longest side of a right triangle
Please help me find the valueeee.
What is the value of x in this figure?
Enter your answer in the box.
x =
Answer:
x=48
when 2 line cros
the opposite sides of the angle always have the same value
PLEASE HELP ASAP THE IMAGE IS BELOW
Answer:
Step-by-step explanation:
x=24
KLN=30
MNL=90
x would equal 24
kln <--- equals 30
mnl <--- equals 90
1. A thick cardboard is cut into a squar
shape of side 10 cm. If thickness of th
cardboard is 2 cm, find the the volume o
the cut-out.
(Answer: 200 cm³
Answer:
the volume of the cut-out is 200 cm³
Step-by-step explanation:
Given;
length of each side of the square cardboard, L = 10 cm
the thickness of the cardboard, h = 2 cm
The volume of the cut-out = area of the square cardboard x thickness of the cardboard
The volume of the cut-out = L² x h
The volume of the cut-out = 10 cm x 10 cm x 2 cm
The volume of the cut-out = 200 cm³
Therefore, the volume of the cut-out is 200 cm³
I will give brainiest
Answer:
Step-by-step explanation: