Answers
Given:
[tex]m\angle ABC=60[/tex]
To find:
The [tex]m\angle ADC[/tex].
Solution:
In circle B, [tex]\angle ABC[/tex] is central angle and [tex]\angle ADC[/tex] is inscribed angle from two points A and C.
According to central angle theorem, central angle is always twice of inscribed angle.
[tex]m\angle ABC=2(m\angle ADC)[/tex] [Central angle theorem]
[tex]60=2(m\angle ADC)[/tex]
Divide both sides by 2.
[tex]\dfrac{60}{2}=m\angle ADC[/tex]
[tex]30=m\angle ADC[/tex]
Therefore, [tex]m\angle ADC=30[/tex].
Related Questions
The rate of change in sales S is inversely proportional to time t(t > 1) measured in weeks. Find S as a function of t if sates after 2 and 4 weeks are 200 units and 350 units respectively.
A. S(t) = 50 [3 ln t/ln2 +1]
B. S(t) = 550 [3 ln t/ln3 +150]
C. S(t) = 50 [3 ln t/ln2 +11]
D. S(t) = 50 [11 ln t/ln2 +1]
E. S(t) = 550 [ln t/ln3 +1]
Answers
Answer:
A. S(t) = 50 [3 ln t/ln2 +1]
Step-by-step explanation:
We are told that the rate of change in sales S is inversely proportional to time.
Thus;
dS/dt = k/t
Where k is the constant of proportionality.
So,
dS = (k/t)dt
Integrating both sides gives us;
S = (kIn t) + C
We are given that after 2 and 4 weeks are 200 units and 350 units respectively.
Thus;
S(2);
(k In 2) + C = 200 - - - (eq 1)
(k In 4) + C = 350 - - - -(eq 2)
To find k, let's subtract eq 1 from eq 2 to get;
(k In 4) - (k In 2) = 350 - 200
(k In 4) - (k In 2) = 150
k(In 4 - In 2) = 150
0.6931k = 150
k = 150/0.6931
k = 216.42
Plugging this for k in eq 1 gives;
(216.42 In 2) + C = 200
C = 200 - 150
C = 50
Thus;
S(t) = (216.42In t) + 50
Now 216.42 can also be expressed as;
150/In 2
Thus;
S(t) = ((150/In 2)In t) + 50
Factorizing out gives;
S(t) = 50 [(3 ln t/ln2) + 1]
Option A is the correct answer
Which point on the number line could represent-25? А вс D 54 -3 -2 -1 0 1 2 3 4 5 А OB ОС OD. I will mark 1 answer brainlist
Answers
Answer:
B
Step-by-step explanation:
The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.
Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.
What are the coordinates of the image after point (4,-5) is reflected across the x-axis
Answers
Answer and Step-by-step explanation:
The x-axis is a horizontal line
^
|
|
(<-------------------------|-----------------------------> x
| ^ This line is the x-axis
|
V
^
|
|
(<---------------|--|--|--|--|--|--|--|--|--|--|---------> x
|
|
|
|
| A ● (4, -5)
V
The point is listed, labeled as A. To reflect, all we have to do is go up twice the absolute amount of the y value, so the absolute value of 5 times 2.
^
| A' ● (4, 5)
|
|
|
|
(<---------------|--|--|--|--|--|--|--|--|--|--|---------> x
|
|
|
|
| A ● (4, -5)
V
This new point is labelled as A'.
(4, 5) is the new coordinate.
#teamtrees #WAP (Water And Plant)
Which describes the graph of y=(x+3)^2-4?
Answers
Answer:
(D). Opens up with vertex at (- 3, - 4)
Step-by-step explanation:
Vertex form of quadratic equation is f(x) = a(x - h)² + k
If a > 0 the parabola is facing up , or down if a < 0 .
(D). Opens up with vertex at (- 3, - 4)
A popular restaurant chain advertises that it delivers orders within 30 minutes. Suppose the average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes. One particular order delivery took 35 minutes. What is the z-score for this delivery time?
–2.67
–1.67
1.67
2.67
Answers
Answer:2.66
Step-by-step explanation:
The z-score for this delivery time is 2.67
What is z-score?A z-score is defined as the fractional representation of data point to the mean using standard deviations.
Given,
Restaurant delivers orders within 30 minutes
The average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes(ц) = 27
One particular order delivery took 35 minutes(X)= 35
ц = 27
σ = 3
X = 35
z-score = (X-ц )/σ
Substitute the values,
z-score = (35-27 )/3
z-score = 8/3
z-score = 2.67
Hence, the z-score for this delivery time is 2.67.
Learn more about z-score
https://brainly.com/question/13793746
#SPJ2
1,1,2,3,5,8, ______, ______, _______, _________, _______.
What is the filling blanks and Conjecture?
Answers
12 20 32 52 84 hope I helped
slope-intercept passes through (-2,1) and (2,-5)
Answers
With a coupon, a pair of shoes that normally costs $90 is only $72. Find the COP between $90 and $72.
Answers
Answer:
The discount rate operated by the coupon is 20%.
Step-by-step explanation:
Since the pair of shoes normally sells for $ 90, but through the application of a discount coupon it sells for $ 72, to determine the discount percentage made by this coupon it is necessary to perform the following calculation:
90 = 100
72 = X
(72 x 100) / 90 = X
7,200 = 90 = X
80 = X
100 - 80 = 20
Thus, the discount operated by the coupon is 20%.
neeed hellpp Asap i have 15min left
Answers
Answer:
a
Step-by-step explanation:
Answer:
A I believe
Step-by-step explanation:
A I believe.
Find the area of the circle use 3.14 for pi with a radius of 6ft
Answers
The formula for the area of a circle (A) is A =Πr2.
r = 6 ft Π = 3.14,
A = 3.14 x 62
A = 113.04 (which is an estimated answer because Π is estimated in this case).
Therefore, the answer would be D. If you can use a calculator, then your answer will be more exact. Just realize that the estimate will put you close enough to your answer in a multiple choice setting if a calculator is not available.
A = 3.14 x 36
Step-by-step explanation:
Natalia wants to put a decorative edge around her flower bed. She already has 4 feet of edging, but she needs enough to edge 95 feet. The edging material comes in rolls 7 feet long.
Write and solve an inequality to find the number of rolls Natalia needs?
Answers
Answer:
91 ft ≤ (7 ft)n or n ≤ 13
Step-by-step explanation:
total amount of edging is
e(n) ≤ 4 ft + (7 ft)n
This inequality relates the total length of edging to the number of 7 ft rolls needed.
If Natalia needs 95 ft of edging, we write e(n) ≤ 4 ft + (7 ft)n as
95 ft ≤ 4 ft + (7 ft)n
which simplifies to
91 ft ≤ (7 ft)n or n ≤ 13
Natalia must purchase 13 rolls. This, combined with the initial 4 ft of edging, will be just the right amount of edging to complete the job.
Need a bit of help with this:(
Answers
Answer:
Step-by-step explanation:
statement/reason
1) X midpoint for WZ / given
2) WX≅XZ / definition of midpoint (divides a line segment in two congruent parts) (S)
3) X midpoint for VY/ given
4) VX≅XY / definition of midpoint (S)
5) ∠WXV≅∠YXZ / vertical angles are congruent (A)
6) ΔVXW≅ΔYXZ / SideAngleSide Theorem of Congruency
find the value of x so that the function has the given value. n(x) = 2x + 7 ; n(x)= 17
Answers
Answer:
n(x)= 5
Step-by-step explanation:
2x+7 = 17
2x = 17-7
2x = 10
x = 5
Help Pls! It's for my Math 4! Scalar Multiplication!
Answers
Answer:
Concept: Physics Qualitative Analysis.
Scalar values are constant and compared to vector values they do not have a direction or magnitude or a gradient representation.Lets get started by setting up the equation They want us to find 3U-2VGiven U= <6,6> V=<6,-6>Now we plug in and solve!3<6,6>- 2<6,-6><18,18>-<12,-12> Subtract <18-12,18-(-12)>Hence that gives us a result of <6,30>Now with the skills you gained solve the rest!!!Answer:
hi im back
Step-by-step explanation:
A baker orders 162 eggs. Each carton contains 18 eggs. Determine the number c of cartons.
Answers
b) The marks obtained by 40 students in mathematics in examination are given below. Group the data into the class intervals of length 10 and construct a cumulative frequency distribution table.
42, 68, 80, 45, 92, 36, 8, 17, 49, 30
5, 26, 98, 74, 53, 65, 72, 28, 55, 46
86, 70, 62, 27, 16, 44, 85, 59, 51, 73
66, 78, 38, 81, 97, 77, 69, 45, 33, 67
Answers
Which expression is half as large as the expression 345+23?
Answers
Answer:
368:2= 184
................
Final Answer: [tex]184[/tex]
Steps/Reasons/Explanation:
We will need to divide [tex]345 + 23[/tex] by [tex]2[/tex] to get the expression that is half as large of the sum of [tex]345 + 23[/tex].
Question: Which expression is half as large as the expression [tex]345 + 23[/tex]?
[tex]\frac{345+23}{2}[/tex] = [tex]\frac{368}{2}[/tex] = [tex]184[/tex]
~I hope I helped you :)~
Reading and Writing Decimal Numbers through Ten Thousandths
A. Write each decimal in words.
1. 0.016
2. 0.0024
3. 0.0084
4. 26.0037
5. 9.368
Answers
Answer:
1. Sixteen thousandths 2.Twenty-four Ten-thousandths 3.Eighty-four Ten-thousandths 4. Twenty-six And Thirty-seven Ten-thousandths 5.Nine And Three hundred Sixty-eight Thousandths
Evaluate p + 2 for p = -8.
Answers
Answer:
-6
Step-by-step explanation:
what type of transformation maps abc onto def
Answers
Answer:
The answer is translation :)
Write the opposite of each number. -25 _______ 0 _______
Answers
Answer:
25
0
Step-by-step explanation:
Work out m and c for the line: y − 2 x = − 3
Answers
Answer:
m=2, b=-3
Step-by-step explanation:
y=2x-3
m = 2
b = -3
what is the correct factorization of x^2 - 2x - 15?
Answers
Answer:
Step-by-step explanation:
x2 - 2x - 15
x2 - 5x + 3x - 15
x(x - 5) + 3(x - 5)
(x - 5) and (x + 3) are the factors
if this needs to be solved further, you will need to set both of these equations equal to 0.
x-5=0 and x+3=0
this will give you x=5 and x=-3
i hope this helped :)
gyiftuerdtgyuhijovhfghdfgchbnm,
Answers
i’m pretty sure the answer is A:
A. 5/16
because 1/4 of 1 1/4 is 0.3125 which is 5/16 as a fraction.
0.3125 = 5/16
order the numbers from least to greatest
Answers
Answer:
What numbers?
Step-by-step explanation:
Answer:
if you comment them Ill out them in least to greatest :)
Step-by-step explanation:
they are 1, 2, 3, 4, 5 if those are the numbers :)
Greg walks at a speed of 3 miles per hour. What is his speed in feet per second?
Answers
Answer: 1/20 miles per second
Step-by-step explanation:
I feel like this is the right answer but I don’t know how to explain it..
Answer:
4.4 feet
Step-by-step explanation:
Round 33,500 to the nearest 1000.
Answers
Answer: 34,000 (Since it's 500, it rounds up)
I hope this helps, and Happy Holidays! :)
Suppose a classmate is having difficulty solving 4(x - 7) > 6x + 2 + 8x.
Explain how to solve the inequality, showing all the necessary steps and
identifying the properties you would use.
Answers
Answer:
X < -3
Step-by-step explanation:
First, you would want to distribute the 4 to the x and the -7. Distribution is just multiplying. So it would be 4x - 28. Then youd combine the like terms which would be 6x and 8x. Add them. You’re inequality should look like this.
4x - 28 > 14x + 2
you need to get the x’s all on one side. I suggest subtraction -4x from both sides to not only cancel out the 4x but it also keeps both sides equal
-28 > 10x + 2
you need to get 10x by itself on the right side so you must subtract 2 from both sides to equal and remove 2
-30 > 10x
divide both sides by 10 to get x by itself
-3 > x
which is the same as x < -3
Mrs. Matthews wrote three math expressions on the board.
She asked her students which expression would result in a product greater than 7.
Enter the number of the expression that Mrs. Matthews's students should have chosen.
Expression
will result in a product greater than 7.
Answers
Answer:
expression 3
because expression 1 = 1
and expression 2 = 7
Which expression is equivalent to one over three p + 15?
one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)
Answers
Answer:
1/3p + 5
Step-by-step explanation:
1/3 of 15 is 5
If you think in terms of multiplication: 3 groups of 5 is 15 so 1 group of 15 would be 5
Answer:
a) 1/3 (p+45)
Step-by-step explanation:
that's the answer