Answers
The angle measure indicated is 137° from the given figure.
What is area of circle ?
area of circle can be defined as the product of pi and square of radius of a circle.
We know that the length of tangents which are drawn from an external point are equal.
PA = PB
The tangent at any point on the circle is perpendicular to the radius of the circle through the point of contact.
OB ⊥ PB and OA ⊥ PA
∠PBO = 90°, ∠PAO = 90°
The sum of all the angles in a quadrilateral is 360°.
In the quadrilateral PAOB
∠APB + ∠PAO + ∠PBO + ∠AOB = 360°
43° + 90° + 90° + ∠AOB = 360°
∠AOB = 360° - 223°
∠AOB = 137°
Therefore, the angle measure indicated is 137°.
To learn more about about Area of circle from the given link.
https://brainly.com/question/28642423
#SPJ1
Related Questions
can someone pls help me with this
Answers
Answer:
f(x) = (x + 3)(x + 1)(x - 1)x
Step-by-step explanation:
If a polynomial function has zeros at a, b, c, and d, then the polynomial is
(x - a)(x - b)(x - c)(x - d).
Here we are given that
f(-3) = 0
f(-1) = 0
f(0) = 0
f(1) = 0
That means that -3, -1, 0, and 1 are zeros of the function.
The polynomial is
(x - (-3))(x - (-1))(x - 0)(x - 1) =
= (x + 3)(x + 1)(x - 1)x
Help ASAP please show work I need this done ASAP
Answers
Answer:
Step-by-step explanation:
Graph shows the distance traveled by a biker as a function of time.
Velocity of the biker changes in the different intervals.
1). In the interval 0 < t < 2, biker is moving with a constant velocity.
Velocity = \(\frac{\text{Displacement}}{\text{Time}}\)
= \(\frac{0-4}{0-2}\)
= 2 km per hour
2). In the interval 2 < t < 5,
Velocity = \(\frac{4-4}{4-2}\)
= 0
Therefore, biker stopped between 2 to 5 hours.
3). In the interval 5 < t < 6,
Velocity = \(\frac{\triangle x}{\triangle t}\)
= \(\frac{4-3}{6-5}\)
= 1 km per hour
4). In the interval 6 < t < 7,
Velocity = \(\frac{6-3}{7-6}\)
= 3 km per hour
is the sequence "109,104,99,94", finite?
Answers
Answer:
NO.
Step-by-step explanation:
The common difference is -4 and you can continue to add -4 for ever!!
Help pleaseeee. I really need help.
Answers
Answer:
10
Step-by-step explanation:
Perform the said operations
Answer:
10
Step-by-step explanation:
16*2 = 32
32/8 = 4
4*15 = 60
60/6 = 10
10
URGENT HELP PLS I WILL MARK BRAINLIEST!!!!
Ellie is cutting out a rectangular board to construct a bookshelf.
The board is to have a perimeter of 84 inches, and its length is to be 3 inches shorter than double the width.
Answers
Answer:
The length of the board is 27 inches
in jeff’s sample, the number of siblings each person has is as follows: one, two, three, four, and ten. what is the median number of siblings in his sample?
Answers
If the number of siblings each person has is one, two, three, four and ten, then the median of number of siblings is 3
Given,
The number of siblings each person has = 1,2,3,4 and 10
Arrange them in ascending order =1,2,3,4 and 10
We know the median is the middle term of the ordered pair
The number of terms n= 5
Middle term is = \(\frac{n+1}{2}\)
=\(\frac{5+1}{2}\)
=3
The 3rd term is 3.
The median = 3
Hence, If the number of siblings each person has is one, two, three, four and ten, then the median of number of siblings is 3
Learn more about Median here
brainly.com/question/28060453
#SPJ4
-in a random physical Sciences experiment A and B are two different events it was found that
,P(A)=2/5,P(B)=3/8 and P(A or B)=5/7
-calculate the P(B).
Answers
Answer:
3/8
Step-by-step explanation:
P(B) is given to you in the question.
To finance a new business, an entrepreneur needed $470,000. She funded 40 percent of this amount from her own savings. At the end of three years of operation, the entrepreneur had received $13,500 in profits and the investor had received $80,000. What was the three-year return on investment for the entrepreneur? (Round your answer to two decimal places.)
Answers
The three-year return on investment for the entrepreneur is 7.10%.
How to calculate return over investment?
Investment refers to the allocation of money or resources to purchase assets or securities that have the potential to generate income or appreciate in value over time. The goal of investment is to achieve a positive return on investment, which means that the investment generates more income or profit than the initial amount invested.
Investments can take various forms, such as stocks, bonds, mutual funds, real estate, commodities, and cryptocurrencies. Each type of investment carries its own risks and potential rewards. Some investments may provide higher returns but come with greater risks, while others may provide lower returns but come with more stability and security.
Investing requires careful analysis and assessment of the potential risks and rewards of each investment opportunity, as well as consideration of individual financial goals, time horizons, and risk tolerance. It is important to diversify investments across different asset classes and to monitor and adjust investment strategies over time to maximize returns and minimize risks.
The amount of money the entrepreneur funded from her own savings is:
$470,000 x 0.4 = $188,000
The remaining amount funded by the investor is:
$470,000 - $188,000 = $282,000
After three years of operation, the entrepreneur had received $13,500 in profits. Therefore, the total amount of money the entrepreneur had at the end of the three years is:
$188,000 + $13,500 = $201,500
The investor had received $80,000 in profits over the three years. Therefore, the total amount of money the investor had at the end of the three years is:
$282,000 + $80,000 = $362,000
The total return on investment for the entrepreneur is the amount of profit divided by the initial investment:
($201,500 - $188,000) / $188,000 = 0.071
The return on investment expressed as a percentage is:
0.071 x 100% = 7.10%
Therefore, the three-year return on investment for the entrepreneur is 7.10%.
To know more about Finance visit :-
https://brainly.com/question/989344
#SPJ1
which function is continuous at x=18?
Answers
The function that is continuous at x=18 is the one that does not have a "jump" or "hole" in the graph at x=18.
o determine which function is continuous at x=18, we need to look at the graph of the functions. A function is continuous at a point if the limit of the function as x approaches that point exists and is equal to the value of the function at that point. We can also look for any "jumps" or "holes" in the graph at that point.
For example, if we have two functions f(x) and g(x), and we want to know which one is continuous at x=18, we can graph both functions and look for any "jumps" or "holes" in the graphs at x=18. If both functions have no "jumps" or "holes" in the graph at x=18, then both functions are continuous at x=18. However, if one function has a "jump" or "hole" in the graph at x=18, then that function is not continuous at x=18.
Therefore, "which function is continuous at x=18?" is the function that does not have a "jump" or "hole" in the graph at x=18. We need to look at the graph of the function to determine whether it is continuous at x=18 by checking for any "jumps" or "holes" in the graph at that point.
Learn more about the graph: https://brainly.com/question/17267403
#SPJ11
(2,-4), (x,\ y), A, and B all lie on the line. Find an equation relating x and y.
Answers
Answer:
I can't see the picture, sorry. :(
Step-by-step explanation:
Answer:
y=3/4x-5.5
Step-by-step explanation:
y=mx+b
B=starting point 5.5
x= variable
M=slope 3/4
A circle has a circumference of 452.16 units. What is the radius of the circle?
Answers
Answer:
r =71.96 or 72
Step-by-step explanation:
C=2\(\pi\)r
452.16=2\(\pi\)r
divide by 2\(\pi\)
71.96 =r
What is the algebraic expression of the function F? a. \( F=(X+\gamma+Z)(X+Y+Z)(X+\gamma+Z)(X+Y+Z)(X+Y+Z) \) b. \( F=(X+Y+Z) \cdot(X+Y+Z)(X+Y+Z) \cdot(X+Y+Z) \cdot(X+\gamma+Z) \) C \( F=(X+Y+Z)(X+Y+Z)
Answers
Option-C is correct that is the algebraic expression of the function F = (x +y +z').(x +y' +z').(x' +y +z) from the circuit in the picture.
Given that,
We have to find what is the algebraic expression of the function F.
In the picture we can see the diagram by using the circuit we solve the function F.
We know that,
From the circuit for 3 - to - 8 decoder,
D₀ = \(\bar{x}\bar{y}\bar{z}\)
D₁ = \(\bar{x}\bar{y}{z}\)
D₂ = \(\bar{x}{y}\bar{z}\)
D₃ = \(\bar{x}{y}{z}\)
D₄ = \({x}\bar{y}\bar{z}\)
D₅ = \({x}\bar{y}{z}\)
D₆ = \({x}{y}\bar{z}\)
D₇ = xyz
We can see bubble after D₀ to D₇ in the circuit,
So, Let A = \(\bar{D_1}\) = \(\overline{ \bar{x}\bar{y}{z} }\) = x + y + \(\bar{z}\)
Now, Let B = \(\bar{D_3}\) = \(\overline{ \bar{x}{y}{z} }\) = x + \(\bar{y}\) + \(\bar{z}\)
Let C = \(\bar{D_4}\) = \(\overline{ {x}\bar{y}\bar{z} }\) = \(\bar{x}\) + y + z
Now, Output F = A.B.C
F = (x + y + \(\bar{z}\)).(x + \(\bar{y}\) + \(\bar{z}\)).(\(\bar{x}\) + y + z)
F = (x +y +z').(x +y' +z').(x' +y +z)
Therefore, The algebraic expression of the function F = (x +y +z').(x +y' +z').(x' +y +z).
To know more about function visit:
https://brainly.com/question/30880785
#SPJ4
The question is incomplete the complete question is -
What is the algebraic expression of the function F.
Option-
a. F = (x+y+z)(x+y'+z)(x'+y+z')(x'+y'+z)(x'+y'+z')
b. F = (x'+y'+z')(x'+y+z)(x+y+z')(x'+y+z)(x+y+z)
c. F = (x +y +z').(x +y' +z').(x' +y +z)
d. F = (x' +y' +z').(x +y +z').(x +y +z)
22 ft
30 ft
Find the area of each triangle
Answers
A=1/2bh
So, in this case, the equation would be:
A=1/2(22)(30)
This would equal 330ft squared
Consider two mugs. The first contains two white and seven black balls, and the second contains five white and six black balls. We flip a fair coin and then draw a ball from the first mug or the second mug depending on whether the outcome was heads or tails, respectively. What is the conditional probability that the outcome of the toss was heads given that a white ball was selected
Answers
The conditional probability that the outcome of the coin toss was heads can be calculated using Bayes' theorem. The conditional probability that the outcome of the toss was heads given that a white ball was selected is 26/63.
Let's denote H as the event that the outcome of the coin toss was heads, and W as the event that a white ball was selected. We want to find P(H|W), the probability of the coin toss being heads given that a white ball was selected.
According to Bayes' theorem, we have:
P(H|W) = P(W|H) * P(H) / P(W)
P(W|H) is the probability of selecting a white ball given that the outcome of the coin toss was headed. Since the first mug is chosen in this case, which contains two white balls out of a total of nine balls, P(W|H) = 2/9.
P(H) is the probability of the coin toss being heads, which is 1/2 since the coin is fair.
P(W) is the probability of selecting a white ball, regardless of the outcome of the coin toss. There are a total of seven white balls out of thirteen balls (two from the first mug and five from the second mug), so P(W) = 7/13.
Therefore, substituting these values into Bayes' theorem:
P(H|W) = (2/9) * (1/2) / (7/13)
Simplifying this expression:
P(H|W) = 26/63
Therefore, the conditional probability that the outcome of the toss was heads given that a white ball was selected is 26/63.
Learn more about Bayes' theorem here:
https://brainly.com/question/32765058
#SPJ11
Nathan is building a toolshed with a rectangular floor. The area of a rectangle is given by the formula / - w, where I represents the length,
and w represents the width. The floor of the shed will have measurements of either / = 9 and w = 5 or 1 = 7 and w=7. What is the area
of the larger floor?
49
O
35
63
45
Answers
Answer:
45
Step-by-step explanation:
if l=9 , w is 5
then area is 9*5=45
if l=7 , w is 7
then area is 7*7=49
49 is greater than 45
but it is not a rectangle. It is a square.
Therefore the correct answer is 45.
In a certain chemical, the ratio of zinc to copper is 4 to 15. A jar of the chemical contains 750 of copper. How many grams of zinc does it contain?
Answers
Answer: it contains 200 grams of zinc.
Step-by-step explanation:
Ratio of zinc to copper is 4 to 15 = 4;15
Total ratio = 4+15= 19
We first find amount of both zinc and copper( the whole chemical) which is equal to
ratio of copper / total ratio x (the entire chemical--total grams of zinc and copper) =amount of copper
15/19 x X = 750
X= 750 X 19 / 15= 950 grams
To find amount of zinc in the chemical = ratio of zinc / total ratio x total amount of chemical
=4/19 x 950
=200 grams
The height above the ground of a calculator dropped off a desk can be represented as a quadratic function. The calculator reached 2.84 feet after 0.1 seconds, 2.36 feet after 0.2 seconds, and 1.56 feet after 0.3 seconds. Use quadratic regression to write a model representing the height of the calculator above the ground during its fall.
Answers
Answer:
The answer is B
Step-by-step explanation:
answer.
.
2.
(2x-y=4
3x + y = 6
3
Answers
Answer:
(2,0)
Step-by-step explanation:
Solve your system by substitution.
x=2 and y=0
consider the function given by f(x)=x^2+3. find its average rate of change from x=-1 to x=3
Answers
Answer:
2
Step-by-step explanation:
f(-1) = (-1)² + 3 = 1 + 3 = 4
f(3) = 3² + 3 = 9 + 3 = 12
average rate of change= [ f(3) - f(-1) ] ÷ [ 3-(-1) ] =
(12-4)÷(4) = 8÷4 = 2
the average rate of change is the slope of the drawn green line .
12 < k + 11
The solution of the inequality is
(pls answer fast)
Answers
Answer:
Solve for K by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
k > 1
Interval Notation:
(1, ∞)
Step-by-step explanation:
A within conditions pattern meaning the range of values; the opposite of stability
variability
trend
level
Answers
A within conditions pattern means the range of values is b. variability
The data or observations gathered inside a certain condition or context are included in the pattern of the condition. This could be done in accordance with a specific time period, group, experiment, or other set conditions. If the pattern seen under these circumstances displays a range of values, variability is present. In other words, the observations or data points are not constant or reliable. Instead, they show peaks and valleys or variations over the range of values.
This diversity may show up in several ways. For example, it might be seen, as a collection of unrelated data points lacking a discernible trend or pattern. It might also be seen as a large range of values, which would suggest that the data has a lot of dispersion or variance. However, it would not be seen as a within-conditions pattern indicating variability if data points or observations within the condition were reasonably stable, that is, they were closely grouped around a certain value or followed a steady trend.
Read more about variability on:
https://brainly.com/question/31302775
#SPJ4
Complete Question:
A within conditions pattern meaning the range of values is -
a. the opposite of stability
b. variability
c. trend
d. level
What is the discount on a 1,725 couch marked 15% off?
Answers
We can find the discount by taking the product between the price of the couch and the decimal form of the percentage, the discount on the couch is equal to $258.75
What is the discount on the couch?We know that for a couch whose price is $1,725, we apply a discount of the 15%.
Then we just need to find the 15% of $1,725, to do so, we need tu multiply the number by the decimal form of that percentage.
To get the decimal form, you need to take the quotient between the percentage and 100%, you will get:
15%/100% = 0.15
Then the discount is:
0.15*$1,725 = $258.75
Learn more about discounts by reading:
https://brainly.com/question/7459025
#SPJ1
70% off
original price!
Abdul wants to buy a cat calendar. The original price is $5.30. What is the sale price?
I need this worked out please
Answers
Answer:
the price with the offer is going to be 1.59$
Step-by-step explanation:
\( \frac{x}{5.30} = \frac{70}{100} \)
\(100(x) = 70(5.30)\)
\(100(x) = 371\)
\( \frac{100(x)}{100} = \frac{371}{100} \)
\(x = 3.71\)
\(70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71\)
\(5.30 - 3.71 = 1.59\)
which is bigger 3.14 or 3.2
Answers
Answer:
3.2
Step-by-step explanation:
On a number line, 3.2 is greater than 3.14.
3.2 is greater than 3.14
f(x) = 382 – 3x + 1 1
Find f(-2)
Answers
Answer:
f(x)=382-3x+11
f(-2)=382-3(-2)+11
f(-2)=382+6+11
f(-2)=399
Answer:
399
Step-by-step explanation:
f(-2) = 382 - 3x + 11
382 - 3(-2) + 11 : plug it in
382 + 6 + 11
388 + 11
399
This assignment was due on friday and I need help with it.
Answers
Answer:
1 : 2
Step-by-step explanation:
Scale factor = 4 : 8 = 1 : 2
Geometric figures that are
__________ are exactly the same shape and size.
Answers
Answer:
Step-by-step explanation:
A geometric figure is intuitively defined as a set of points and lines in space. In the words of Euclid: A figure is that which is contained by any boundary or boundaries
Answer:
Congruent
Step-by-step explanation:
Congruent two shapes are this if they have exactly the same shape and size.
A 5-member team is going to run a relay race on Course B. Each person has to run an equal distance in the race. Course B is 212 times as long as Course A. The length of Course A is 214 miles. How many miles should each team member run in the race
Answers
Each team member should run 9073.6 miles in the race on Course B.
Let's break down the problem step by step:
1. First, we need to find the length of Course B. We know that Course B is 212 times as long as Course A, and Course A is 214 miles. So, to find the length of Course B, we multiply:
Course B length = 212 × 214 miles
2. Calculate the length of Course B:
Course B length = 45368 miles
3. Now, we need to determine the distance each team member should run. There are 5 members on the team, and they need to run an equal distance on Course B. To find the distance for each member, we divide the total length of Course B by the number of team members:
Distance per member = Course B length / number of members
4. Calculate the distance per team member:
Distance per member = 45368 miles / 5
5. Finally, we find the distance each team member should run:
Distance per member = 9073.6 miles
So, each team member should run 9073.6 miles in the race on Course B.
to learn more about distance click here:
brainly.com/question/15256256
#SPJ11
In order to increase the amount of exercise in her daily routine, Tara decides to walk up the three flights of stairs to her car instead of taking the elevator. Each of the steps she takes are 18. 0 cm high, and there are 12 steps per flight. (a) If Tara has a mass of 58. 5 kg, what is the change in the gravitational potential energy of the Tara-Earth system (in J) when she reaches her car? ] (b) If the human body burns 1. 5 Calories (6. 28×10 3
J ) for each ten steps climbed, how much energy (in J) has Tara burned during her climb? J (c) How does the energy she burned compare to the change in the gravitational potential energy of the system?
ΔU
E
burned =
Answers
a). The equation gives us the change in gravitational potential energy of the Tara-Earth system.
b). The equation gives us the energy Tara has burned during her climb.
c). The values are equal, the energy burned is equal to the change in gravitational potential energy.
(a) To calculate the change in gravitational potential energy of the Tara-Earth system, we can use the formula:
ΔU = mgh
Where ΔU represents the change in gravitational potential energy, m is the mass of the object (in this case, Tara), g is the acceleration due to gravity (which is approximately 9.8 m/s^2 on Earth), and h is the change in height.
In this case, Tara walks up three flights of stairs, with each step being 18.0 cm high. Since there are 12 steps per flight, the total change in height can be calculated as:
h = 3 flights * 12 steps/flight * 18.0 cm/step
Now we can substitute the values into the formula:
ΔU = 58.5 kg * 9.8 m/s^2 * (3 flights * 12 steps/flight * 18.0 cm/step)
Simplifying the equation gives us the change in gravitational potential energy of the Tara-Earth system.
(b) To calculate the energy Tara has burned during her climb, we can use the given information that the human body burns 1.5 Calories (6.28×10^3 J) for each ten steps climbed. Since Tara climbed a total of 3 flights * 12 steps/flight = 36 steps, we can calculate the energy burned as:
Energy burned = (36 steps / 10 steps) * 1.5 Calories * 6.28×10^3 J/Calorie
Simplifying the equation gives us the energy Tara has burned during her climb.
(c) To compare the energy Tara burned to the change in gravitational potential energy of the system, we can simply compare the values obtained in parts (a) and (b). If the energy burned is greater than the change in gravitational potential energy, Tara has burned more energy than what was gained in potential energy. If the energy burned is less than the change in gravitational potential energy, Tara has burned less energy than what was gained in potential energy. If the values are equal, the energy burned is equal to the change in gravitational potential energy.
To know more about potential energy, visit:
https://brainly.com/question/24284560
#SPJ11
Please help urgent ~~
Answers
Answer:
False
Step-by-step explanation: