Answers
Answer:
35 degrees
Step-by-step explanation:
180-55-55=70
180-70=110
180-110=70
70/2=35
Property: All straight lines from the centre of a circle are the same length, hence the triangles are isoceles.
======================================================
Explanation:
Inscribed angle ABC = 55 subtends the minor arc AC which is 110 degrees (use the inscribed angle theorem).
The inscribed angle BDC subtends the minor arc CB, which we'll call x for now.
The two minor arcs (AC and CB) combine to form the arc ACB. Note how this is a semicircle since AB is a diameter. For any semicircle, the arc measure is 180 degrees.
So,
(arc AC) + (arc CB) = arc ACB
110 + x = 180
x = 180-110
x = 70
This cuts in half to 35 which is the inscribed angle BDC, again we're using the inscribed angle theorem here.
Related Questions
A school principal wants to know more about the number of students absent each day. He counts the number of students absent each day for one week: {24, 18, 31,
Answers
Answer:
6.27
Step-by-step explanation:
We are to obtain the standard deviation of the given values :
{24, 18, 31,25, 34}
The standard deviation = √(Σ(x - mean)²/ n)
The mean = (ΣX) /n
Using calculator to save computation time :
The standard deviation, s = 6.27 (2 decimal places)
Here are the first three terms of a different sequence.
1
3
9
Write down two numbers that could be the 4th term and the 5th term of this sequence.
Give the rule you have used to get your numbers.
please helpp
Answers
Step-by-step explanation:
everything can be found in the picture
Distribution of Sample Proportions
Susan really loves the lemon-flavored Fruity Tooty candies, but there always seems to be a lot of grape-flavored candies in each bag. To determine whether this is because grape candies are so popular or because each bag contains fewer lemon candies, Susan randomly picks a Fruity Tooty candy from her bag, records its flavor, and places it back in the bag. Each bag contains a mixture of cherry, grape, apple, lemon, and orange flavors. Which statement about Susan's distribution of sample proportions is true?
a) The distribution of the count of picking a cherry candy cannot be modeled as approximately normal if Susan picks candies over 200 times.
b) The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times.
c) The sample proportion of drawing an orange candy is not a binomial distribution.
d) The distribution of lemon candy can be modeled as normal if Susan picks candies 10 times.
Answers
Answer:
Option B, The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times
Step-by-step explanation:
The distribution of apple candies can be represented as normal curve and hence the sample proportion for this is true and can be drawn.
The rest other cases do not represent a normal distribution and hence it will not be easy to plot curve for these samples.
hence, option B is correct
Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph. The sample standard deviation is 7.309.Select the 98% confidence interval for Adam’s set of data.a. 46.94 to 71.33b. 46.94 to 79.46c. 55.45 to 79.46d. 55.45 to 70.95
Answers
Answer:
Option D, 55.45 to 70.95
Step-by-step explanation:
Alpha = 1 – confidence interval
Alpha = 1 – 0.98 = 0.02
Sample size = n = 8
t (alpha/2) ; (n-1) = t (0.02/2) ; (8-1) = t 0.01, 7 = 2.998
Mean = sum of all frequencies /total number of frequency = 505.6/8 = 63.2
s = 7.309
E = t (0.01;7) * s/sqrt n
Substituting the given values, we get –
E = 2.998 * 7.309 /sqrt (8)
E = 7.75
98% confidence interval
Mean – E and Mean + E
63.2 – 7.75 and 63.2 + 7.75
(55.45, 70.95)
Answer: 55.45 to 70.95
Step-by-step explanation:
Time (hours) 3.2, 4.8, 7.2, t, 12.4
Distance (miles) 80, 120, 180, 245, t
Answers
Answer:
t=2 plz mark me as brainliest
Step-by-step explanation:
please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answers
Answer:
10π in.
Step-by-step explanation:
circumference of a circle = 2πr
=2*π*5
=10π in.
A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 25 minutes without stopping.
Calculate the cyclist's average speed in mph.
Answers
Answer:
v = 15 mph
Step-by-step explanation:
Given that,
A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 25 minutes without stopping.
Total distance, d = 3 + 7 = 10 miles
Total time, t = 15 + 25 = 40 minutes = 0.6667 hours
Average speed,
[tex]v=\dfrac{d}{t}[/tex]
Put all the value,
[tex]v=\dfrac{10}{0.6667}\\\\= $$14.99\ mph[/tex]
or
v = 15 mph
So, the required average speed is equal to 15 mph.
Pleaseeee help is for today
Answers
Answer: a + ( 2a - 7 ) = 41
Explanation:
Let be "a" the Nicci's age and "s" the Nicci's sister.
You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation:
a + 8 = 41
And knowing that Nicci's sister is 7 years less than twice Nicci's age, you can write another equation to represent this:
8 = 2a - 7
Now, substitute the second equation into the first equation in order to find the equation that represents this relationship.
Then, this is:
a + ( 2a - 7 ) = 41
Hope it helps...
Help please!!!!! I don't really get this, help asap.
Answers
42/6 = 7 boxes
Answer:
7 boxes
Step-by-step explanation:
We can use ratios to solve
12 bars 42 bars
---------- = ---------------
2 boxes x boxes
Using cross products
12x = 2 *42
12x = 84
Divide by 12
12x/12 = 84/12
x = 7
3x + 1 over 4y2
What is the value of the expression above when x = 3 and y = 4? You must show all work and calculations to receive full credit.
Answers
Answer: Pretty sure its the value of the expression is 11
Step-by-step explanation:
Step 1. Add and evaluate 4x and 1/3y^2
Step 2. After evaluating, add 4(2) and 1/3 (3)^2
Step 3. 8 + 1/3(9)
Step 4. 8 + 3 = 11
Step 5. Value of Expression = 11
Answer:
13
Step-by-step explanation:
What is it quadratic, radical, rational?
Answers
Answer:
quadratic formula is ur answer for letter B
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = 3 x squared + 2 x minus 8
Answers
Answer:
Table A
Step-by-step explanation:
y = 3x^2 +2x -8
The quadratic is in the form
y = a x^2 +bx+c
a = 3 b = 2 c = -8
Since a > 0 it opens up
The y intercept is c so the y intercept is -8
m26 is (2x - 5) and m_8 is (x + 5)º
What is m 3?
12
9
3 4
56
78
Answers
Answer:
12
Step-by-step explanation:
12 is the coefficient
Phân biệt giá cấp 2 được áp dụng đối với
Answers
Second-degree price discrimination occurs when a company charges a different price for different quantities consumed, such as quantity discounts on bulk purchases.
mark me brainliestt :))
Write the expression. Then, complete the statements.
twice the difference of a number and seven
The word "twice" means multiplication by 2 v
The words "the difference of indicate
Answers
Find the Value of x
Answers
Answer:
42
Step-by-step explanation:
(adjacent straight angles sum up to 180)
3x+54=180
x=42
Ivan is saving money to buy a game. So far he has saved 8, which is one-fourth of the total cost of the game. How much does the game cost?
Answers
Answer:
[tex]\$32[/tex]
Step-by-step explanation:
Let the cost of the game be [tex]x[/tex]. Since one-fourth of the cost of the game is equal to 8 dollars, we have the following equation:
[tex]\frac{1}{4}x=8[/tex]
Multiply both sides by 4 to isolate and solve for [tex]x[/tex]:
[tex]x=8\cdot 4=\boxed{\$32}[/tex]
There is a study on exercise and health: a group of women who have been exercising regularly for 5 years are grouped and given a wellness exam and compared to a group of women who have not exercised in the past five years. What kind of data collection is this?
Experiment
Survey
Simulation
Observational Study
Answers
Answer:
Survey Data Collection.
Step-by-step explanation:
This is a survey because there are survey questionnaires (wellness exam).
Answer:
Observational Study Is the Answer
A health clinic dietician is planning a meal consisting of three foods whose ingredients are summarized as follows: One Unit ofFood I Food II Food IIIUnits of Protein 10 15 20Units of Carbohydrates 1 2 1Units of Iron 4 8 11Calories 80 120 100The dietician wishes to determine the number of units of each food to use to create a balanced meal containing at least 40 units of protein, 6 units of carbohydrates, and 12 units of iron, and with as few calories as possible. Use solver to find how many units of each food should be used in order to minimize calories.
Answers
Answer:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
Step-by-step explanation:
Protein Carbohydrates Iron calories
Food 1 (x₁) 10 1 4 80
Food 2 (x₂) 15 2 8 120
Food 3 (x₃) 20 1 11 100
Requirements 40 6 12
From the table we get
Objective Function z :
z = 80*x₁ + 120*x₂ + 100*x₃ to minimize
Subjet to:
Constraint 1. at least 40 U of protein
10*x₁ + 15*x₂ + 20*x₃ ≥ 40
Constraint 2. at least 6 U of carbohydrates
1*x₁ + 2*x₂ + 1*x₃ ≥ 6
Constraint 3. at least 12 U of Iron
4*x₁ + 8*x₂ + 11*x₃ ≥ 12
General constraints:
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers
With the help of an on-line solver after 6 iterations the optimal solution is:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
Solve for x. Round to the nearest hundredth.
A. 0.02
B. 25.17
C. 0.03
B. 12.27
Answers
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(64) = x/28
x/28 = cos(64)
x = 28*cos(64)
x = 12.2743921100941
x = 12.27
What is the formula of a palindrome?
Answers
Answer:
For example, 6(1001) + 3(110) = 6006 + 330 = 6336 is a palindrome. Since 11 is a factor of both 1001 and 110, we conclude that all four digit palindromes are divisible by 11.
Triangle LMN is reflected on y = x and then translates to the left one unit. Which of the following graphs represents the sequence of transformations that maps triangle LMN onto its image?
Answers
The attached graph represents the sequence of transformations
How to determine the sequence?The coordinates of the triangle LMN are
L = (-6, 1)
M = (-4, 3)
N = (-1, 1)
When reflected on y = x, we have:
L' = (1, -6)
M' = (3, -4)
N' = (1, -1)
When translated 1 unit left, we have:
L'' = (0, -6)
M' = (2, -4)
N' = (0, -1)
See attachment for the sequence of transformations
Read more about transformation at:
https://brainly.com/question/11709244
#SPJ1
What is the difference of the polynomials?
(5x^3 + 4x^2) - (6x^2 - 2x - 9)
Answers:
A.) -x^3 + 6x^2 + 9
B.) -x^3 + 2x^2 - 9
C.) 5x^3 - 2x^2 - 2x - 9
D.) 5x^3 - 2x^2 + 2x + 9
Answers
Answer:
D
Step-by-step explanation:
We want to find the difference between the two polynomials:
[tex](5x^3+4x^2)-(6x^2-2x-9)[/tex]
Distribute the negative:
[tex]=(5x^3+4x^2)+(-6x^2+2x+9)[/tex]
Rearrange the terms:
[tex]=(5x^3)+(4x^2-6x^2)+(2x)+(9)[/tex]
Combine like terms. Hence:
[tex]=5x^3-2x^2+2x+9[/tex]
Our answer is D.
Doris has a fish pond 15 by 18 ft. She wants to put grass in a strip of uniform with around the pond. She has enough grass seed for 234 ft squared. How wide will the strip be? Round your answer to the nearest tenth, when appropriate
Answers
Check the picture below.
so if we simply subtract the strip area with the pond and the area of the pond only, what's leftover is the area of the strip alone, so
[tex]\stackrel{\textit{area of the grass \underline{with} pond}}{(15+2x)(18+2x)}-\stackrel{\textit{area of the pond}}{(15)(18)}=\stackrel{\textit{their difference}}{232} \\\\\\ 270+30x+16x+4x^2-270=232\implies 46x+4x^2=232 \\\\\\ 23x+2x^2=116\implies 2x^2+23x-116=0[/tex]
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+23}x\stackrel{\stackrel{c}{\downarrow }}{-116}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x = \cfrac{-23\pm \sqrt{23^2-4(2)(-116)}}{2(2)}\implies x = \cfrac{-23\pm \sqrt{1457}}{4}[/tex]
now, the negative root will simply yield a negative value, which is not applicable here, so we'll only use the positive root, since it's the only feasible one for the phenomena
[tex]x = \cfrac{-23+ \sqrt{1457}}{4}\implies x \approx 3.792667341996157\implies \stackrel{\textit{rounded up}}{x = 3.8}[/tex]
Answer:
3 feet
Step-by-step explanation:
Let x be the width of the grass strip.
So the length of the grass strip=18+2x
Area of the grass strip =2(18+2x)(x)+2(15)(x)=2(18x+2x^2)+2(15x)=(36x+4x^2)+30x=4x^2+66x^2
But the available grass seed is enough for 234 ft squared
4x^2+66x=234
4x^2+66x-234=0
x={-66+-[(66)^2–4(4)(-234)]^1/2}/2(4)
x={-66+-[4356+3744]^1/2}/8={-66+-[8100]^1/2}/8
x={-66+-(90)}/8
Two values of x: x=(-66+90)/8=24/8=3 and the other value of x=(-66–90)/8=-19.5. Adopt the positive value of x=3 feet (answer)
So the width of the strip is 3 feet.
Check for the area of grass strip around the fish pond : Area=2(18+6)(3)+2(15)(3)=2(24)(3)+90=144+90=234 square feet
Other area check =4x^2+66x=4(3)^2+66(3)=36+198=234 square feet
Therefore the strip is 3 feet wide
if y equal to-1 calculate the value of the expression
Answers
Answer:
thiếu giữ liệu không thể trả lời được
Step-by-step explanation:
The square below represents one whole.
What percent is represented by the shaded area?
%
The anwser is 6%
Answers
Answer:
the answer is 6%
hdhxbxcbxbxszznzj
A positive real number is 4 less than another. if the sum of the squares of the two numbers is 72, then find the numbers
Answers
Answer:
x+4=72
x=72-4
x=68
Step-by-step explanation:
let x be one number and 4 be anothe number then sum of the two number be x and 4
What is the scale factor of this dilation?
Answers
Answer:
1.333333333333
Step-by-step explanation:
(Y = 179x
(Y = 105x + 2046
Graph pls
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does a nice job of graphing these equations.
__
The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.
Find the quotient of 4x^3-12x² + 8x/ - 4x
O x2 + 3x - 2
O x²-12x + 4
O -x2 – 3x + 2
O x² + 12x - 4
Answers
Answer:
-x^2+3x-2
Step-by-step explanation:
I think one of the signs are wrong in the equation.
