Answer:
Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P
Step-by-step explanation:
The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)
The radius of [tex]\bigodot[/tex]O, r₁ = 5
The given center of the circle [tex]\bigodot[/tex]P = (12, -1)
The radius of [tex]\bigodot[/tex]P, r₂ = 12
The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;
a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)
b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4
Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4
We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P
∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.
HELPPPPPPP PLEASE. IM SO CONFUSED IM WEIRD
I think that the answer is A.
what is
1/3 x (15+6)
Answer:
First, you do 15+6 (because of the parentheses)
You get 21
then you have to do 1/3 times 21 and you get 7
Answer:
7
Step-by-step explanation:
Using BODMAS which stands for:
(Bracket, of, Division, Multiplication, Addition and Subtraction)
We first treat the bracket
(15+6)=21
We then treat the division
(but it is already reduced to its lowest terms therefore no need, but if you like you can reduce it to a decimal though)
[tex]\frac{1}{3}[/tex]
Then we move onto the multiplication which is the last part
[tex]\frac{1}{3}[/tex] ×21= [tex]\frac{21}{3}[/tex] =7
A cross section is made parallel to the bases of a right triangular prism. Which of the following statements is true regarding the area of the cross section and the area of the base?
The area of the cross section is less than the area of the base.
The area of the cross section is greater than the area of the base.
There is insufficient data to determine these area relationships.
The area of the cross section is equal to the area of the base.
Answer:
The area of the cross section is equal to the area of the base.
Step-by-step explanation:
PLEASE HELP!!!!1!1!1! suppose one particular pyramid in egypt has a square base of side length 280 meters and a perpendicular height of 144 meters what is the surgace area of the pyramid?
Answer:
Pyramid Surface Area = .5 * Perim of Base * Slant Height
Slant Height^2 = 144^2 + 140^2
Slant Height^2 = 20,736 + 19,600
Slant Height^2 = 40,336
Slant Height = 200.8382433701
Surface Area = .5 * perim of base * slant height
Surface Area = .5 * 1,200 * 200.8382433701
Surface Area = 120,503 square meters
Source = www.1728.org/volpyrmd.com
Step-by-step explanation:
consider the series 10 j-2 (-2j+1)
Answer:
Option C
Step-by-step explanation:
Given expression for the series is,
[tex]\sum_{j=2}^{10}(-2j+1)[/tex]
Here, j = Numbers of terms (from 2 to 10)
By substituting j = 2 to 10 we can find the terms of the series.
2, 3, 4, 5, 6, 7, 8, 9, 10
So the number of terms in the given series = 9
Option C will be the correct option.
Which of these could be the graph of F(x) = 3 • (0.5)^x?
The graph of F(x) = 3 • (0.5)^x is represented by the third graph in the image. The correct option is C.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The graph of the function is cutting an intercept at point 3 at the y-axis and is lying about the x-axis. The graph of the function is attached with the answer below.
Therefore, the graph of F(x) = 3 • (0.5)^x is represented by the third graph in the image. The correct option is C.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ5
if sides of a triangle have lengths 8 ft and 12 ft.
Answer:
[tex]20 > c > 4[/tex]
Step-by-step explanation:
Given
[tex]Sides =8\ and\ 12[/tex]
Required
The third side
To do this, we make use of the triangle inequality theorem which implies that:
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
Where
[tex]a,b,c\to sides[/tex]
So, we have:
[tex]8 + 12 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]12 + c > 8[/tex]
Solve all inequalities
[tex]8 + 12 > c[/tex]
[tex]20 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]c > 4[/tex]
[tex]12 + c > 8[/tex]
[tex]c > -4[/tex]
Ignore negative inequalities.
So, we have:
[tex]20 > c[/tex] and [tex]c > 4[/tex]
Combine
[tex]20 > c > 4[/tex]
The above implies that the third length is between 5 and 19 (inclusive)
The school that Emily goes to is selling tickets to the annual dance competition.
On the first day of ticket sales the school sold 3 senior citizen tickets and 14 child tickets for a total of $145.
The school took in $178 on the second day by selling 6 senior citizen tickets and 14 child tickets.
Find the price of a senior citizen ticket and the price of a child ticket.
Answer:
price for senior citizen is $11
price for child ticket is $8
It took lan three years to collect 25,413 aluminum cans to recycle. In the first year he collected 8,917 cans, and in the second year he collected 7.639 cans Which equation can be used to find x, the number of cans tan collected in the third year? A X = 25,413-8,917 - 7,639 B X = 25,413 +8,917 + 7,639 CX-8,917 +7,639 D 8,917-7,639
Answers:
1. 24 cans/lb x 15,000 lb/trailer = 360,000 cans/trailer
2. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 15,000 lb = $9,000
3. 15,000 lbs/trailer / 30 lbs/collector = 500 can collectors/trailer
4. 15,000 lbs/trailer / 800 lbs/bale = 18 complete bales (and 3/4 of another bale)/trailer
5. 24 cans/lb x 800 lb/bale = 19,200 cans / bale
6. 100 bales/boxcar x 800 lbs/bale = 80,000 lb. cans / boxcar
7. 100 bales/boxcar x 19,200 cans/bale = 1,920,000 cans / boxcar
8. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 80,000 lb/boxcar = $48,000/boxcar
Pick the right one.
Enter the values for the highlighted variables to
complete the steps to find the sum:
az
b =
3x 9
+
2x - 6 6 - 2x
CE
d =
3 x
9
+
2x-6 al 2x-6)
3x b.
+
2x-6 2x - 6
3х – с
2x-6
d{x - e)
f(x-3)
= 9
e =
f=
III
g=
DONE
Answer:
a = - 1
b = - 9
c = 9
d = 3
e = 3
f = 2
g = 3/2
Step-by-step explanation:
For a;
6 - 2x = - (2x - 6)
For b;
-1 * 9 = - 9
For x ;
3x + (-9) = 3x - 9
3x - 9 = d(x - e)
Factorizing :
3(x - 3)
d = 3 ; e = 3
2x - 6 = f(x - 3)
Factorize :
2x - 6 = 2(x - 3)
3(x - 3) / 2(x - 3)
g = 3/2
A translation is applied to the triangle formed by the points A (-1,4), B(-1,10), and C(3,6). The image is the triangle that has vertices. A’(3,4), B’(3,10), and C’(7,6).
The triangle was translated…
The answers:
4 units to then left
4 units up
4 units to the right
4 units down
Consider this expression (x+9)(x-2)-9×_6
What expression is equivalent to the given expression
Answer:
x^2 -2x-24
Step-by-step explanation:
Answer: (x+4)(x-6)
Step-by-step explanation: Plato Answer
Find the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)}
Answer:
the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)} is
{(-2,1),(3,2),(-3,3),(2,4)}.
why is coal a non-renewable energy source
what is 3 /8 times 4/7 in simplest form
Answer:
3/14
Step-by-step explanation:
I need help please urgent
Answer:
its ok don't worry
Step-by-step explanation:
its a mental answer
URGENT NEED THIS DONE FAST LINKS WILL BE REPORTED
[tex]\pink{\bold{\underline{\underline{hello ♡}}}}[/tex]
Since 2x = 6, we have to divide each side by 2 to find x.
6÷2= 3
Our answer is 3.
February has 28 days. It rained on [tex]\frac{3}{4}[/tex] of the days in February. What was the total number of rainy days during this month?
Answer:
21
Step-by-step explanation:
28x3/4
Based on the definition of independence, which THREE statements are correct?
P(A) ,
A)
1
1
and B)
12
Events A and B are independent.
12
35
Events A and B are independent.
P(A) = 4, P(B) = , P(A and B) =
B)
1
1
P(A)
A B
10
Events A and B are independent.
P(A) = , P(B) = , P(A and B) =
7.
12
D)
Events A and B are dependent.
PLA) = }, PB) - to, P(A and B) - 1 2 3
E)
Events A and B are independent.
Answer: A, D, and E
Step-by-step explanation:
Which of the following is NOT a way to write a probability?
O Decimal
O Percent
O Fraction
O Mr. Eisenberg
susan has a total of 31 books. amy has four less than seven times the number of books compared to susan. write an equation for this situation.
Answer:
213
Step-by-step explanation:
(31x7)-4
Do you think this fish is a gram or kilogram ??
the product of 6 less than a number and 4 more than the
number
Answer:
(x-4)(x+8)
Step-by-step explanation:
In the image, two circles are centered at A. The circle containing was dilated to produce the circle containing B!
What is the scale factor of the
dilation?
O A. 1
OB. 2
OC. 0.5
OD.
-0.5
Suppose a call center receives 4000 calls on average during their Friday evening shift. Next Friday several people have put in for time off, so the center will be staffed by 178 call center employees. When working continuously, the average call center employee can handle 22 calls per evening shift (with a standard deviation of 5 calls). Assuming the center receives its expected 4000 calls next Friday, what is the probability that the center will have enough employees to handle this call volume
Answer:
The probability that the center will have enough employees to handle this call volume is 0.2764
Step-by-step explanation:
Probability is defined as the ratio of favorable outcomes to the total number of outcomes.
Here the total mean expected number of outcomes=u = 4000
The favorable expected outcomes are = x= 22* 178= 3916
The standard deviation= σ= 5
The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5
So z= x-u/σ
Z= (3916-4000)/22/5
z= -0.764
From the table of areas under normal curve
P ( x= 3916)= P( -0.764 ≤ Z≤ 0)
P ( x= 3916)= 0.2764
The probability that the center will have enough employees to handle this call volume is 0.2764
State if the triangles in the pair are similar. If so, complete the similarity statement
Answer:
they similar
triangle SRQ - SBC
Answer:
similarity statement =RS/BS=QS/CS=RQ/BC OR,
triangle RSQ≅triangle BSC
Step-by-step explanation:
helppppp! how do I find this?
Answer:
y=3x-6
Step-by-step explanation:
(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.
(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.
Plugging in the two points from the graph.
Hence, y=3x-6
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.4\text{ in}10.4 in and the height of the pyramid is 9.6\text{ in}9.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
21.6in^3
Step-by-step explanation:
\text{Volume of Pyramid:}
Volume of Pyramid:
V=\frac{1}{3}Bh
V=
3
1
Bh
Where B is the area of the base
\text{Perimeter of base}:
Perimeter of base:
\,\,10.4
10.4
\text{Side length of base}:
Side length of base:
\,\,\frac{10.4}{4}=2.6
4
10.4
=2.6
Divide perimeter of square by 4 to get side length
\text{Area of base}:
Area of base:
\,\,2.6^2=6.76
2.6
2
=6.76
Area of a square is s^2
B=
B=
\,\,6.76
6.76
h=
h=
\,\,9.6
9.6
given
V=
V=
\,\,\frac{1}{3}Bh
3
1
Bh
V=
V=
\,\,\frac{1}{3}(6.76)(9.6)
3
1
(6.76)(9.6)
Plug in
V=
V=
\,\,21.632
21.632
V\approx
V≈
\,\,21.6\text{ in}^3
21.6 in
3
solve the system by substitution -4x+3y=-2 y=x-1
Answer:
Substitute y=x-1 for y in the first equation to get -4x+3(x-1)=-2
-4x+3x-3=-2
-x-3=-2
-x=1
x=-1
Step-by-step explanation:
Answer:
x = -1
y = -2
Step-by-step explanation:
If you look at the second equation, y is already isolated for us:
y = x - 1
so all we need to do is plug in the value for y into the first equation:
-4x + 3(x - 1) = -2
Next all we do is algebra:
[distribute] -4x + 3x - 3 = -2
[condense] -1x - 3 = -2
[add] -1x = 1
[divide] x = -1
Now that we have the value of x, we can use it to find y by plugging it in to either equation.
y = x - 1
[plug in] y = -1 - 1
[condense] y = -2
Answers: x = -1, y = -2
Please help quickly as possible thank you! :)
Answer:
329.5ft
Step-by-step explanation:
First one: ((4+18+26)x10)/2
Second: +(18x4)
Third: (7x5)/2
=240+72+17.5
=329.5