Answers
Answer:
Step-by-step explanation:
Given: The measure of the arc QU=88°, ∠QUA=111°.
To find: The measure of the arc AU.
Construction: Join QX and UX and AX, where X is the center of the circle such that ∠UXA=x.
Solution: It is given that The measure of the arc QU=88°, ∠QUA=111°.
Now, we know that The measure of a minor arc is the same as the measure of the central angle that corresponds to it, therefore
If the minor arc QU=88°, then ∠QXU=88°.
Also, we know that the major central angle is double of the inscribed angle, thus
∠QXA=2(∠QUA)
⇒∠QXA=2(111°)
⇒∠QXA=222°
Using the angle sum property for a point X, we have
∠QXA+∠QXA=360°
⇒222°+88+x=360°
⇒310°+x=360°
⇒x=50°.
Again, The measure of a minor arc is the same as the measure of the central angle that corresponds to it, thus
The measure of the arc AU is same as ∠UXA that is 50°,therefore, the measure of AU is 50°.
Hence, option B is correct.
Related Questions
Use the complex zeros(1/2, -3+7i, -3-7i) to factor f(x)=-2x^3 - 11x^2 -110x +58
Answers
P(x)=-(2x^3+11x^2+110x-58)
P(1/2)=-(2*1/8+11*1/4+110*1/2-58)=0
P(x)=(1/2-x)(2x²+12x+116) (using synthetic division)
P(x)=(1-2x)(x²+6x+58)=(1-2x)(x+3+7i)(x+3-7i)
one may note that it could also be simplified to
[tex]\bf f(x)=(1-2x)(x+3+7i)(x+3-7i) \\\\\\ f(x)=(1-2x)[(x+3)+(7i)][(x+3)-(7i)] \\\\\\ f(x)=(1-2x)~~[\stackrel{\textit{difference of squares}}{(x+3)^2-(7i)^2}] \\\\\\ f(x)=(1-2x)[(x^2+6x+9)-(7^2i^2)] \\\\\\ f(x)=(1-2x)[(x^2+6x+9)-(49\cdot -1)] \\\\\\ f(x)=(1-2x)[(x^2+6x+9)-(-49)] \\\\\\ f(x)=(1-2x)[(x^2+6x+9)+49] \\\\\\ f(x)=(1-2x)(x^2+6x+58)[/tex]
Using the properties of equality, fill the blanks with the correct value to show the solution for y.
3(y-2)=18
3y-___=18
3y=___
Answers
3y-6=18
3y=24
y=8
Please I need help with this.
Answers
2. 2x^2-9x+10 (B)
3. -1 (D)
4. 40x^2+22x-6 (B)
5.x^2-2x+4-(14/x+2) (A)
A gift box is 12 inches long, 8 inches wide and 2 inches high. how much wrapping paper needed to wrap the box?
A.) 272 inches
B.) 192 inches
C.) 384 inches
D.) 184 inches
Answers
A _____________ is a three-dimensional form that has length and width but minimum thickness.
Answers
A student received a 75% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answered correctly to the total number of questions? A. 20:5 B. 5:20 C. 15:20 D. 20:15
Answers
The student missed 5 questions.
Hope this helped!
100% ---> 20
75% -----> x
Clearing the value of x we have:
x = (75/100) * (20)
x = 15
This number represents the number of correct answers.
We have then that the ratio is:
15:20
Answer:
A ratio that would show the number of questions answered correctly to the total number of questions is:
C. 15:20
PLEASE ANSWER ASAP.
Find the area of the triangle QRS.
Area = square units
Answers
Answer:area is 140
Step-by-step explanation:
Answer:
Area= 140 square units
Step-by-step explanation:
q(-9, 5). r(6,10). s(2,-10).
find the area of the triangle QRS.
Area=140 square units
please help me with algebra 2?! i am so lost on how to do this!
1.Multiply and simplify if possible.
four square root of eleven•four square root of ten
(1 point)
11four square root of ten
11
10
four square root of one hundred ten
2.What is the simplest form of the expression?
cubed root of twenty four times a to the tenth times b to the sixth
(1 point)
3a3b2cubed root of two a
2a3bcubed root of a
2a3b2cubed root of three a
none of these
Answers
- both squared roots are multiplied by 4, therefore you can regroup: 4·(√11·√10)
- since they are both squared roots, you can multiply the two numbers: 4·√(11·10)
- therefore the answer is: 4·√110
Question 2:
- first thing, you need to factorize the number: 24=2³·3
- then, highlight the exponents multipes of 3: ∛(2³·3·a^9·a·b^6)
- now you can take outside the cubic root everything that has an exponent multiple of 3, dividing the exponents by 3: 2·a³b²·∛3·a
A cylindrical water tank has a diameter of 6 meters and a height of 9 meters. What is the maximum volume of water the tank can hold? (to nearest whole number) A) 254 m3 B) 509 m3 C) 1018 m3 D) 2290 m3
Answers
Answer:
The answer is A) 254 m3
I don't know: Person 1, person 2, and person 3 made $660, if the ratio is 3:4:5, how much did person 1 person 2, and person 3 get?
Answers
660/12 = 55
55*3 = 165
55*4 = 220
55*5 = 275
person 1 = 165
Person 2 = 220
person 3 = 275
Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day. If each sundae is served with
1/8
cup of sprinkles, how many sundaes can they serve?
Answers
Final answer:
Matt's Ice Cream Shoppe can serve 56 sundaes with 7 cups of sprinkles, assuming each sundae uses 1/8 cup of sprinkles.
Explanation:
The question asks: How many sundaes can Matt's Ice Cream Shoppe serve with 7 cups of sprinkles if each sundae is served with 1/8 cup of sprinkles?
To find the answer, we divide the total amount of sprinkles by the amount used per sundae. Here's the calculation:
Total amount of sprinkles = 7 cups.Amount of sprinkles per sundae = 1/8 cup.Number of sundaes that can be served = Total amount of sprinkles ÷ Amount of sprinkles per sundae = 7 cups ÷ 1/8 cup = 56 sundaes.Therefore, Matt's Ice Cream Shoppe can serve a total of 56 sundaes with their current stock of sprinkles.
Matt's Ice Cream Shoppe can serve 56 sundaes with the 7 cups of sprinkles they have.
To find out how many sundaes Matt's Ice Cream Shoppe can serve with 7 cups of sprinkles, we need to divide the total amount of sprinkles by the amount of sprinkles used per sundae.
Given:
- Total amount of sprinkles: 7 cups
- Amount of sprinkles per sundae: [tex]\( \frac{1}{8} \)[/tex] cup
Let ( x ) be the number of sundaes that can be served.
We can set up the equation:
[tex]\[ \text{Total amount of sprinkles} = \text{Amount of sprinkles per sundae} \times \text{Number of sundaes} \][/tex]
[tex]\[ 7 = \frac{1}{8} \times x \][/tex]
Now, to solve for ( x ), we can multiply both sides of the equation by 8:
[tex]\[ 7 \times 8 = x \][/tex]
[tex]\[ x = 56 \][/tex]
Therefore, Matt's Ice Cream Shoppe can serve 56 sundaes with the 7 cups of sprinkles they have.
At a sporting event the price for 3 cheeseburgers and 2 cups of lemonade is $14 and the price for 2 cheeseburgers and 4 cups of lemonade is $12. how much does it cost for 1 cheeseburger and 2 cups of lemonade
Answers
The Lemonades are $1 each
The answer is $6 for 2 lemonades and 1 cheesburger
Please help, I’m so confused :/
Answers
[tex] \tan x = \dfrac{\frac{5}{13}}{\frac{12}{13}} [/tex]
[tex] \tan x = \dfrac{5}{13} \times \dfrac{13}{12} [/tex]
[tex] \tan x = \dfrac{5}{12} [/tex]
[tex]sinx= \frac{o}{h} [/tex], so o = 5, h = 13
[tex]tanx = \frac{o}{a} [/tex]
[tex]tanx = \frac{5}{12} [/tex]
Or
[tex]tanx = \frac{sinx}{cosx} [/tex]
[tex]tanx = \frac{ \frac{5}{13}}{ \frac{12}{13} } [/tex]
[tex]tanx = \frac{5}{12} [/tex]
When a number is subtracted from x the result is 6. What is that number
Answers
I'm pretty sure the number is 9 and x is 3 so it equals 6.
hope this helps!!
Good luck:)
.. x - n = 6
.. x - 6 = n . . . . . add n-6
The number is x-6.
What is the perimeter of triangle ABC with the vertices A(-2,9), B(7,-3),C(-2,-3) in the coordinate plan
A)21 units
B) 15 units
C)34 units
D)36 units
PLZZZZZZZZZZ HELPPPPPPP MEDALS AND FAN
Answers
Final answer:
The perimeter of triangle ABC with the given vertices can be found by calculating the distances between the points. The lengths are 15 units for AB, 9 units for BC, and 12 units for AC, and their sum is 36 units. The correct option is D.
Explanation:
To determine the perimeter of triangle ABC with the given vertices A(-2,9), B(7,-3), C(-2,-3), we first need to calculate the lengths of the sides of the triangle using the distance formula, which is d = √((x₂ - x₁)² + (y₂ - y₁)²).
Length of AB: √((7 - (-2))² + ((-3) - 9)²) = √(81 + 144) = √225 = 15 unitsLength of BC: √((-2 - 7)² + ((-3) - (-3))²) = √(81 + 0) = √81 = 9 unitsLength of AC: √((-2 - (-2))² + (9 - (-3))²) = √(0 + 144) = √144 = 12 unitsThe perimeter is the sum of the lengths of the sides, so P = AB + BC + AC = 15 + 9 + 12 = 36 units.
The correct answer is 36 units which corresponds to option D.
Anna took a job that paid $200 the first week. She was guaranteed a raise of 5% each week.
How much money will she make in all over 8 weeks?
Round the answer to the nearest cent.
Answers
10*8= 80
total after 8 weeks= $280
The answer is 1909.82 (rounded to the cent).
I just took this test.
The area of a rectangle is 28^2 , and the length of the rectangle is 1ft more than double the width. find the dimensions of the rectangle.
Answers
Austin rented a truck for one day. there was a base fee of $15.99 , and there was an additional charge of 82 cents for each mile driven. austin had to pay $123.41 when he returned the truck. for how many miles did he drive the truck?
Answers
131 Miles
please help algebra 2!!
Answers
u^2 + 12u - 64
(u - 4)(u + 16)
Back-substitute for u.
(x^2 - 4)(x^2 + 16)
(x + 2)(x - 2)(x + 4i)(x - 4i)
Answer: Choice a.
What does it mean to say that a polynomial equation is solvable by radicals?
Answers
Find the average rate of change of
f(x) = -2x² - x from x=1 to x=6
Simplify your answer as much as possible
Answers
How can i find one side of a triangle with another side and an angle?
Answers
You can always use the Law of Cosines (if you have sufficient information), or the Law of Sines (if you have sufficient information).
A negative correlation means that ________. select one:
a. high values of one variable are associated with low values of the other
b. high values of one variable are associated with high values of the other
c. low values of one variable are associated with low values of the other
d. there is no relationship between the two variables
Answers
Negative correlation is a relationship between two variables wherein if the value of one variable increases, the value of the other variable decreases, and vice versa.
A negative correlation means that high values of one variable are associated with low values of the other. This suggests that as one variable increases, the other decreases respectively and vice versa, which can be seen in various real-world scenarios such as the relationship between time spent studying and number of mistakes made on a test.
Explanation:In the context of statistics and data analysis, a negative correlation means that high values of one variable are associated with low values of the other. This implies that as one variable increases, the other decreases correspondingly and vice versa. For instance, if we were examining the relationship between time spent studying and number of mistakes made on a test, a negative correlation might indicate that the more time a student spends studying, the fewer mistakes they make on the test. This is indicative of a negative correlation because as the value of one variable (study time) increases, the value of the other variable (mistakes) decreases.
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Aldo drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Aldo drove home, there was no traffic and the trip only took 5 hours. If his average rate was 21 miles per hour faster on the trip home, how far away does Aldo live from the mountains? Do not do any rounding.
Answers
8x = 5x +105
3x = 105
x = 105 /3
x = 35
8 x 35 = 280 miles away
The distance of Aldo's house from the mountains when calculated using the parameters is; 280 miles
How to Solve Algebra Word Problems?We know that distance is given by;
Distance = speed * time
Distance with traffic = 8x
Distance without Traffic plus average rate = 5(x + 21)
Thus;
8x = 5(x + 21)
8x = 5x + 105
3x = 105
x = 105/3
x = 35
Thus;
Distance from his house = 5(35 + 21) = 280 miles
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What is the graph of the equation 4x – 5y = 15?
Answers
have a good day
The triangle and the rectangle have the same perimeter.
Answers
Given the lease terms below, find the total lease cost, assuming that the deposit is nonrefundable.
Terms:
Length of lease: 36 months
MSRP of the car: $21,400
Purchase value of the car after lease: $17,100
Down payment: $1500
Monthly payment: $272
Security deposit: $350
Acquisition fee: $700
Answers
To find the total cost of the lease, we have to add up all the costs that you will be responsible for.
You will have to pay the down payment, the monthly payment, security deposit and the acquisition fee.
However, don't forget that you have to multiply the monthly payment by 36 months.
1500 + 36(272) + 350 + 700 =12342
The total lease cost is the sum of the down payment, nonrefundable security deposit, acquisition fee, and the total payments over the lease term which amounts to $12,342.
Explanation:The total lease cost can be calculated by adding all fees, the nonrefundable deposit, monthly payments, and any other additional costs. We start by adding the down payment, security deposit, and acquisition fee:
Down payment: $1500Security deposit (nonrefundable): $350Acquisition fee: $700The monthly payment over the term of the lease is calculated by multiplying the monthly payment amount by the number of months in the lease term:
Monthly payment: $272Length of lease: 36 monthsMultiplying the monthly payment by the lease term gives us the total amount paid over the course of the lease:
272 * 36 = $9792Adding all the costs together gives us the total lease cost:
Total lease cost = Down payment + Security deposit + Acquisition fee + Total monthly paymentsTotal lease cost = $1500 + $350 + $700 + $9792Total lease cost = $12342Note that this calculation assumes that the security deposit is nonrefundable, which is often the case in a car lease. It's also important to note that additional costs may apply, such as excess mileage fees or wear and tear.
HELP PLEASE CAN SOMEONE TAKE A LOOK?
1. The investment you make into a start=up company is also known as ____ (1point)
A. Venture Capital
B. first-time investment
C. entrepreneurial capital
D. beginning capital
Answers
Venture capital-capital invested in a project in which there is a substantial element of risk, typically a NEW or expanding business
Kendall says the sum of (6x^2+4xy+2y^2) and (4x^2-2xy-3y^2) is (10x^2+2xy-5y^2) what error did Kendall make
Answers
=
(10x^2 + 4xy - y^2)
Kendall assumed the 2y^2 was negative and not positive leading her to create the error of -5y^2
Hope this helps :)
The error made was in the summation of the y^2 terms in each expression, leading to an incorrect final sum of the two expressions.
Explanation:Kendall's error lies in incorrectly adding the terms that contain y^2. Specifically, Kendall summed 2y^2 from the first expression and -3y^2 from the second expression, but mistakenly calculated the result as -5y^2 instead of the correct -y^2. Remember, when performing operations with similar terms, you must carry the correct sign along with each term.
So, the correct sum of (6x^2+4xy+2y^2) and (4x^2-2xy-3y^2) is (10x^2+2xy-y^2).
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A certain species of fish require 1.5 1.5 cubic feet of water per fish to maintain a healthy environment. find the maximum number of fish you could put in a tank measuring 6 6 feet by 3 3 feet by 4 4 feet.