−300 + 174.83 = -125.17. A is the answer!
⊙O and ⊙P are given with centers (−2, 7) and (12, −1) and radii of lengths 5 and 12, respectively. Using similarity transformations on ⊙O, prove that ⊙O and ⊙P are similar.
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.
How many times greater is the value of 5 in 532,874 than the value of 451,073?
Answer:
10 times greater is the value of 5 in 3,590 than the value of 5 in 359.
Step-by-step explanation:
Kayla was cutting right triangles from wood to use for an art project. Two of the right triangles she cut are shown below
Answer:
The answer is "[tex]28^{\circ}[/tex]"
Step-by-step explanation:
Please find the complete question in the file.
The angle F measure is identical to the angle C measure.
The adjacent BC and the hypotenuse AC have been developed. That would be used cosine.
[tex]\cos C = \frac{15}{17}\\\\C =\ cos^{-1}\frac{15}{17} = 28.07\approx 28^{\circ}[/tex]
(no links please and than you! :))
Answer:
Line D represents a proportional relationship.
Step-by-step explanation:
In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.
Other graphs do not intersect the origin points so they are not proportional.
Answer:
Line D represents a proportional relationship.
Step-by-step explanation:
In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.
Other graphs do not intersect the origin points so they are not proportional.
Select the correct answer.
What is the value of this expression if h = 8, j = -1, and k
= -12?
А. 3
B
12
C.
36
D
-12
PLEASE HELP ME
Answer:
the answer is B so it's 12
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How many feet are in 5 yards
Answer:
15 feet
Step-by-step explanation:
Forumula: Multiply the length value by 3.
5*3= 15 feet
Hope this helped! :)
Answer:
15 feet
Step-by-step explanation:
okay so in 1 yard is 3 feet
is it is 5 yards so there is 15 feet
Find the circumference of a circle with diameter 2 cm. Use 3.14 for
Answer:
6.28 cm
Step-by-step explanation:
Given,
Diameter = 2 cm
pi = 3.14
To find : Circumference ( circle ) = ?
Radius ( r )
= Diameter / 2
= 2 / 2
= 1 cm
Formula : -
Circumference ( circle ) = 2 pi r
2 pi 4
= 2 × 3.14 × 1
= 6.28 cm
Answer:
6.28
Step-by-step explanation:
radius= diameter/2
r=2/2=1
circumference formula=2[tex]\pi[/tex]r
[tex]\pi[/tex]=22/7 or 3.14
So,
2[tex]\pi[/tex]r= 2*3.14*1= 6.28
Please help look at picture and solve for x I’ll mark u as brainliest and no links
Answer:
A x=18
Step-by-step explanation:
What is the volume, in cubic cm, of a rectangular prism with a height of 10cm, a width of 20cm, and a length of 11cm?
Answer:
2200 cubic cm
Step-by-step explanation:
The volume of a rectangular prism is found using the formula:
V = l*w*h
V = 10 cm * 20 cm * 11 cm
V = 2200 cubic cm
Answer: 2200
Step-by-step explanation:
[2x(3+5)+6]x4 what is the value of this expression
Answer:
16x5+6x4
Step-by-step explanation:
(2x(3+5)+6)(x4)
=(2x(3+5)+6)(x4)
=(2x(3+5))(x4)+(6)(x4)
=16x5+6x4
Answer:
88
Step-by-step explanation:
to solve these kind of questions use BODMAS
In which quadrant would you find the point 4 and 8
Answer:
Quadrant 1
Step-by-step explanation:
Verify: 4tan(θ)sec(θ) = (1+sin(θ)/1−sin(θ)) − (1−sin(θ)/1+sin(θ))
Working with the right side,
(1 + sin(θ))/(1 - sin(θ)) - (1 - sin(θ))/(1 + sin(θ))
multiply the first term by (1 + sin(θ))/(1 + sin(θ)) and the second one by (1 - sin(θ))/(1 - sin(θ)). This gives
(1 + sin(θ))/(1 - sin(θ)) • (1 + sin(θ))/(1 + sin(θ)) = (1 + sin(θ))^2 / (1 - sin^2(θ))
… = (1 + sin(θ))^2 / cos^2(θ)
and
(1 - sin(θ))/(1 + sin(θ)) • (1 - sin(θ))/(1 - sin(θ)) = (1 - sin(θ))^2 / (1 - sin^2(θ))
… = (1 - sin(θ))^2 / cos^2(θ)
Now combine the fractions, expand the numerator, and simplify:
(1 + sin(θ))^2 / cos^2(θ) - (1 - sin(θ))^2 / cos^2(θ) = ((1 + sin(θ))^2 - (1 - sin(θ))^2) / cos^2(θ)
… = ((1 + 2 sin(θ) + sin^2(θ)) - (1 - 2 sin(θ) + sin^2(θ))) / cos^2(θ)
… = 4 sin(θ) / cos^2(θ)
… = 4 • sin(θ)/cos(θ) • 1/cos(θ)
… = 4 tan(θ) sec(θ)
classify the triangle by its sides and by measuring of its angles
. Find the volume of a sphere with a radius of 23 feet. Round your answer to 2 decimal places. [Use pi = 3.14] *
Answer:
50.965.01
Step-by-step explanation:
No file, guessing, or random answers
a population has a standard deviation of 20.2. what is the standard error of the sampling distribution if the sample size is 121? round your answer to two decimal places.
A) 1.84
B) 1.44
C) 1.55
D) 1.68
Answer:
A) 1.84
Step-by-step explanation:
I just took the quiz
The standard error of the sampling size is 121 is 1.84
What is standard error?"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."
"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:
σx = σ / sqrt(n)."
Given,
Standard deviation of the sample is 20.2
and sample size is = 121
Standard error is = [tex]\sigma/\sqrt(n)[/tex]
i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84
Hence, option A is true.
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11/15 = w — 8/15 help me
Answer:
w=19/15
Step-by-step explanation:
11/15 = w - 8/15 |*15
11 = 15w-8 => 15w=8+11 => 15w=19 => w=19/15
The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)
Answer:
[tex]y - y_1 = m(x - x_1)[/tex]
Step-by-step explanation:
Given
A to D
Required
Which is the point slope equation
The point slope form of a coordinate pair is:
[tex]y - y_1 = m(x - x_1)[/tex]
Hence, (d) is correct
the value, of a 7 in the millions place, is how many times greater than the value of a 7 in the ten thousands place?
Answer:
Your answer would be 100! :)
Diana can decorate 15 cookies in an hor; Jamie can decorate 15 cookies in two hours. How many hours would it take to decorate 60 cookies if they worked together?
Answer:
2.67 hours
Step-by-step explanation:
Diana: 15 cookies per hour
Jamie: 7.5 cookies per hour
15 + 7.5 = 22.5
22.5 cookies per hour
[tex]\frac{60}{22.5} =\frac{y}{1}[/tex]
22.5 · y = 60 · 1
22.5y = 60
22.5y ÷ 22.5 = 60 ÷ 22.5
[tex]y=2\frac{2}{3}[/tex]
[tex]2\frac{2}{3}[/tex] rounded to the nearest hundredth is 2.67
can someone please answer this I need extreme help.
Answer:
hope this will help you more
What is the expected value for the binomial
distribution below?
1/3125
4/625
32/625
128/625
256/625
1024/3125
999.224
Step-by-step explanation:
Expected value = Summation of (x•px)
px is addressed as pdf (probability distribution function)
x px. x•px
1. 1/3125. 1/3125
20. 4/625. 16/125
160. 32/625. 1024/125
640. 128/625. 16384/125
1280. 256/625 65536/125
1024. 1024/3125. 335.544
total:. 1. 999.224
taking my pdf as x/3125
The expected value of the binomial distribution is 4
How to determine the expected value?The expected value of a binomial distribution is calculated using:
[tex]E(x) = \sum x * P(x)[/tex]
Using the table of values, we have:
[tex]E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125[/tex]
Evaluate the expression
E(x) = 4
Hence, the expected value of the binomial distribution is 4
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HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
52
Step-by-step explanation:
break down the shapes into simpler ones
do base X height for both
add both
Answer:
52cm^2
Step-by-step explanation:
Split the figure into 3 rectangles or squares and find the area of the individual shapes, add all the areas together and you should get 52cm^2
Here’s the next problem:)
Answer:
disagree
Step-by-step explanation:
toa=opposit over adjacent= 12/9
tan(x)=12/9
tan^-1=12/9
x= 53.1
Answer:
Disagree
Step-by-step explanation:
x actually equals 53.13
what is 6 divided by 10 to the second power
Answer:
j
Step-by-step explanation:
h
There are 44 rabbits. What is 44 rounded to the nearest 10?
Answer:
4
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
44 is closer to 40 than 50 because 44-40 = 4, 50-44=6 and 4<6
I need help please this isath i need my grade thx alot
Answer:
A, -475ft
Step-by-step explanation:
Answer: -475 ft
Step-by-step explanation: -95 x 5= -475
A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times as many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?
Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
Answer:
12 $5 bills
Step-by-step explanation:
Represent the number of each kind of bill by x, y and z: there are x $1 bills, y $5 bills and z $10 bills.
According to the problem statement,
x + y + z = 25 and y = 4z (or z = y/4). Also, the values of the bills add up to $100:
($1)x + ($5)y + ($10)z = $100. Eliminate z by typing y/4 in its place:
x + y + (y/4) = 25 and
x + 5y + 10(y/4) = 100
Doing this has reduced the number of variables to two: x and y. Combining like terms in both equations, we get:
1x + (5/4)y = 25 and
1x + (30/4)y =100
Subtracting the 1st equation from the 2nd, we get:
(25/4)y = 75, or
(4/25)(25/4)y = (4/25)(75) , or y = 12.
If y = 12, z = 12/4, or 3.
Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10
There are 10-$1 bills, 12-$5 bills and 3-$10 bills.
A square with a side length of 30 cm is divided into 4 triangles which expression CANNOT be used to find the area of one of the four small triangles
A. 302 divided by 4
B. 1/2(30 x 15)
C. (30 x 30) divided by 2
D. 450/2
Answer: A
Step-by-step explanation:
of you would Write a decimal that represents the value of one $1 bill and 5 quarters how would you write that?