Answers
Answer: B. [tex]150^{\circ}[/tex]
Step-by-step explanation:
From the given picture, we can see a circle with two perpendicularly intersecting chords .
The measure internal angle made by intersecting of chords : [tex]90^{\circ}[/tex]
The measure of minor arc : [tex]30^{\circ}[/tex]
The formula to find the internal angle is given by :-
[tex]\theta=\dfrac{\text{Minor arc + major arc}}{2}[/tex]
Let x be the Major arc AC, the we have the following equation:-
[tex]90^{\circ}=\dfrac{30^{\circ}\text{ + x}}{2}\\\\\Rightarrow\ 30^{\circ}+x=180^{\circ}\\\\\Rightarrow\ x=180^{\circ}-30^{\circ}\\\\\Rightarrow\ x=150^{\circ}[/tex]
Hence, the measure of [tex]\overarc{AC}=150^{\circ}[/tex]
The measure of the major arc AC is 150°.
In the given picture, a circle with two perpendicularly intersecting chords is shown. The angle formed by the intersection of the chords is labeled as 90°. Additionally, the minor arc formed by these chords has a measure of 30°.
To find the measure of the major arc, we use the formula: θ = (minor arc + major arc) / 2.
Let x represent the measure of the major arc AC.
The formula can be set up as follows: 90° = (30° + x) / 2.
Solving for x, we first multiply both sides by 2 to eliminate the fraction: 180° = 30° + x.
Next, we isolate x by subtracting 30° from both sides:
x = 180° - 30°.
Simplifying further, we get x = 150°.
Therefore, the measure of the major arc AC is 150°. This calculation ensures that the angle formed by the intersecting chords is indeed 90°, and the given information about the minor arc aligns with the solution.
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Related Questions
the regular price of a item is $150 the item was on sale at a discount rate of 30% what is the sales price of the item
Answers
Please answer this correctly
Answers
Answer:
$13.66
Step-by-step explanation:
Multiply the amount of Dijon mustard and mustard by its price, then add them together.
3 * 3.69 = 11.07
.5 * 5.18 = 2.59
Add these sums together.
11.07 + 2.59 = 13.66
What is the quotient of 22,389 ÷ 13?
1,029 R12
1,706 R11
1,722 R3
1,645 R4
Answers
Answer:
1,722
Step-by-step explanation:
Answer:
1,722 remainder 3 is the correct answer. I didn't do the problem by hand, but for multiple choice answers, you can always just use a calculator to find the answer and the remainder will be given
x times x^n
Simplify it please and thank you!
Answers
Answer:
[tex]x^{n+1}[/tex]
Step-by-step explanation:
using the rule of exponents
• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
note that x = [tex]x^{1}[/tex], hence
x × [tex]x^{n}[/tex] = [tex]x^{n+1}[/tex]
If we consider that any number is actually itself to the first power so (x is the same as x^1) then if we multiply x^1 * x^n we get x^(n+1).
I have the data in that picture , I need help answering these questions that continue with that
F: how much money will Jason have in the bank after 9 weeks
G: if Jason has $80 left, how many weeks have passed
This is for question 2 in the picture
Answers
Answer:
F $185
G 12 weeks
Step-by-step explanation:
Assuming your equation is correct
y = -35x +500
We want to let x=9
y = -35(9) +500
y = -315+500
y =185
Jason will have $185 after 9 weeks
If he has 80 dollars left we put that in for y and solve for x
80 = -35x +500
Subtract 500 from each side
80-500 = -35x +500-500
-420 = -35x
Divide each side by -35
-420/-35 = -35x/-35
12 = x
After 12 weeks he will have 80 dollars left
X+3y=5
-X+6y=3
solve the system of equation
A.X=1,Y=2
B.X=2,Y=1
C.X=1, Y=1
D.X=0, Y=2
Answers
Answer:
That all the answer hope i helped
Answer:
The answer will be B
Step-by-step explanation:
Please help me out and answer!!!!!
Really struggling
Answers
Answer:
D
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y) → (- y, x)
A translation of 3 units up → + 3 in the y- direction, that is add 3 to the y- coordinate, hence
(x, y) → (- y, x) → (- y, x+ 3) → D
what is the inverse of the function x + 2y + 3 = 0
Answers
The inverse of the function x + 2y + 3 = 0 is found by first expressing the function explicitly as y = -½x - 1½ and then swapping x and y to solve for the new y, yielding the inverse function y = -2x - 3.
Explanation:To find the inverse of a function, we typically swap the roles of x and y, and then solve for y. Given the function x + 2y + 3 = 0, we first write the function explicitly as y in terms of x:
y = -½x - ³2
Now let's find the inverse:
Swap x and y to get x = -½y - ³2.Solve for y. Multiply every term by 2 to get rid of the fraction: 2x = -y - 3.Rearrange the equation to solve for y: y = -2x - 3.This new function y = -2x - 3 is the inverse of the original function.
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2x-y=3
SHOW WORKKKKKK
Answers
Answer:
Well, y = 2x - 3.
Step 1:
Subtract 2x from both sides.
-y = -2x + 3.
Step 2:
Divide it all by negative 1.
y = 2x - 3.
IF YOU WANT TO SOLVE FOR X:
Well, x = .5y + 3/2
Which equals to:
(y + 3)/2.
Step 1:
Add y to both sides.
2x = y + 3.
Step 2:
Divide it all by 2:
x = .5y + 3/2
Which equals to:
(y + 3)/2.
They are the same.
Explain how to determine if the two expressions are equivalent using x = 6 and x = 10.
8x + 40 8(x + 5)
Answers
The expressions 8x + 40 and 8(x + 5) are equivalent because both expressions have the same value at x = 6 and x = 10
How to determine the two equivalent expressions?The expressions are given as:
8x + 40 and 8(x + 5)
When x = 6, we have:
8x + 40 = 8 * 6 + 40
8x + 40 = 88
8(x + 5) = 8(6 + 5)
8(x + 5) = 88
When x = 10, we have:
8x + 40 = 8 * 10 + 40
8x + 40 = 120
8(x + 5) = 8(10 + 5)
8(x + 5) = 120
Notice that both expressions have the same value at x = 6 and x = 10
Hence, the expressions 8x + 40 and 8(x + 5) are equivalent
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Answer:
Sample Response: If both expressions have the same value after substituting and simplifying for x = 6 and x = 10, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 88. Now, substitute 10 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 120. Therefore, the expressions are equivalent.
Step-by-step explanation: trust
simplify (-6a5b4c3)(5a3b2c)
Answers
[tex]\text{Use:}\\\\a^n\cdot a^m=a^{n+m}\\\\(-6a^5b^4c^3)(5a^3b^2c)\\\\=(-6\cdot5)(a^5a^3)(b^4b^2)(c^3c^1)\\\\=-30a^{5+3}b^{4+2}c^{3+1}\\\\=\boxed{-30a^8b^6c^4}[/tex]
an ordinary Fair die is a cube with the number 1 through 6 on the sides (represented by painted spots). imagine that such a die is rolled twice in succession and the face values of the two dice rolls are added together. this sum is recorded as the outcome of a single trial of random experiment.
compute the probability of each of the following events. event A: the sum is greater than 7. B: the sum is an even number
Answers
Event A Answer: [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
sum greater than 7 leaves are the following combinations for 8, 9, 10, 11, and 12:
8 = 26, 35, 44, 51, 62 (5 possibilities)
9 = 36, 45, 54, 63 (4 possibilities)
10 = 46, 55, 64 (3 possibilities)
11 = 56, 65 (2 possibilities)
12 = 66 (1 possibility)
This is a total of 15 possibilities out of 36 total: [tex]\frac{15}{36}[/tex] = [tex]\frac{5}{12}[/tex]
***********************************************************************************
Event B Answer: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
sum is an even number means both dice are odd or both dice are even. That results in the following combinations:
11 13 15
22 24 26
31 33 35
42 44 46
51 53 55
62 64 66
This is a total of 18 possibilities out of 36 total: [tex]\frac{18}{36}[/tex] = [tex]\frac{1}{2}[/tex]
a) 2/3 divided by 1/4 b) 7/5 multiply by 8 c) 2/5-1/3 d)3/10+2 7/12
Answers
[tex]a)\\\dfrac{2}{3}\div\dfrac{1}{4}=\dfrac{2}{3}\cdot\dfrac{4}{1}=\dfrac{8}{3}=2\dfrac{2}{3}\\\\b)\\\dfrac{7}{5}\cdot8=\dfrac{56}{5}=11\dfrac{1}{5}\\\\c)\\\dfrac{2}{5}-\dfrac{1}{3}\\\text{common denominator is (5)(3) = 15}\\\\\dfrac{2\cdot3}{5\cdot3}-\dfrac{1\cdot5}{3\cdot5}=\dfrac{6}{15}-\dfrac{5}{15}=\dfrac{1}{15}\\\\d)\\\dfrac{3}{10}+2\dfrac{7}{12}\\\text{common denominator is 60}\\\\\dfrac{3\cdot6}{10\cdot6}+2\dfrac{7\cdot5}{12\cdot5}=\dfrac{18}{60}+2\dfrac{35}{60}=2\dfrac{53}{60}[/tex]
Seclet the locations on the number line to plot the points -5 2/3 and 5 1/3
Answers
Step-by-step explanation:
5 1/3 means 5 and 1/3 more.
So first we count 5 unit on right side of 0. Then for 1/3 we will divide the length between 5 and 6 into three equal parts and select only 1 part
That location will be exact location of the point 5 1/3.
Repeat same process for -5 2/3 on left side of 0 because -5 2/3 is a negative number.
Check the attached graph for correct locations.
Answer:
nagetive-number
negative 3
Step-by-step explanation:
does 1/6, -3, √7, -6/5, or 4.5 comes first when the numbers are listed from least to greatest
Answers
The arrangement is as follows:
-3<-1.2<1/6<√7<4.5
What is ascending and descending order?Ascending means smallest to largest, 0 to 9, and/or A to Z and Descending means largest to smallest, 9 to 0, and/or Z to A.
Given:
1/6= 0.16667
√7= 2.645
-6/5= -1.2
So, the least number is -3 and greatest number is 4.5.
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A kite is stuck in a 36-ft tree. If the angle of elevation from the kite and the ground is 12, find the length of the kite.
Answers
Answer:
173.15 ft.
Step-by-step explanation:
Please find the attachment.
Let L be the length of kite.
We have been given that a kite is stuck in 36-ft tree. The angle of elevation from the kite and the ground is 12.
We can see from our attachment that kite and tree form a right triangle. height of tree is opposite of angle of elevation and length of kite is hypotenuse.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use sine to find the length of kite.
[tex]sin(12)=\frac{36}{L}[/tex]
[tex]L=\frac{36}{sin(12)}[/tex]
[tex]L=\frac{36}{0.207911690818}[/tex]
[tex]L=173.1504364105882792\approx 173.15[/tex]
Therefore, the length of kite is 173.15 ft.
What is the equation of the line with a slope of -2 that passes through the
point (4, -3)?
y + 3 = 4(x - (-2))
y + 4 = -2(x - 3)
y + 3 = -2(x - 4)
y + 4 = 3(x - (-2))
Answers
The point-slope form of the line:
[tex]y-y_1=m(x-x_1)[/tex]
We have the slope m = -2 and the point (4, -3). Substitute:
[tex]y-(-3)=-2(x-4)\\\\\boxed{y+3=-2(x-4)}[/tex]
Subtract t2 + 5t - 6 from t2 - 8t - 7.
A)
13t - 1
B)
13t + 13
C)
−13t - 1
D)
−13t + 13
Answers
Answer:
C
Step-by-step explanation:
t² - 8t - 7 - (t² + 5t - 6)
= t² - 8t - 7 - t² - 5t + 6 ( collect like terms )
= - 13t - 1 → C
Answer: C) −13t - 1
Step-by-step explanation: usatestprep approved
Regal Cinemas is selling tickets for the movie “Ghostbusters”. Tomorrow night , there are 73 tickets left to sell. If all the tickets are sold for the same price , the movie theater will make $438. Which of the following students have enough money to buy a ticket?
a. Amanda has $4.50.
b. Bernie has $7.00.
c. Chrissy has $6.50.
d. Dina has $6.00.
e. Evan has $5.00.
f. Frank has $14.00.
Who has enough money to go to the movie? ( write names below )
Answers
Answer:
Bernie, Chrissy, Dina and Frank
Step-by-step explanation:
if all 73 tickers are sold, the theatre makes $438 so each ticket is worth $438/73
this equals to $6.00 for one ticket
this means that Bernie, Chrissy, Dina and Frank have enough money to see the movie
Answer:
Bernie, Chrissy, Dina, and Frank are able to go.
Step-by-step explanation:
The question is not entirely clear. I take it that 73 tickets will bring in 438 dollars. If that is so, each ticket is selling for the solution of this proportion.
x / 1 = 438/73 Just do the division on the right
x = 6.00 dollars.
So Amanda will not be able to go.
Even will not be able to go.
Everyone else can.
The rule at Anna's house is that if she eats all of her vegetables and does all of her does each day, she earns 2 hours of Internet time which she can save. Anna started her week with 3 hours saved. If she eats all of her vegetables and does all of her chores each day for 4 days straight how many hours does she have after the four days she uses 6 hours of her internet time
Answers
Answer:
5 Hours
Step-by-step explanation:
Given :- 2 hours can be earned each day if she eats all of her vegetables and does all of her chores.
Saved hours at the start of the week = 3 hours
Hours earned in 4 days = 2 hours × 4
= 8 hours
Hours used in 4 days = 6 hours
Hours left after 4 days = Saved hours at the start of the week + Hours earned in 4 days - Hours used in 4 days
Hours left after 4 days = 3 + 8 - 6
= 5 hours
On order for two triangles to be similar, all corresponding pairs of angles be
Answers
Answer: similar
Step-by-step explanation:
Answer:
Answer is similar
Step-by-step explanation:
help please having trouble SUPER EASY!
Answers
Answer:
48
because 4 * 12 is 48
Answer:
48
Step-by-step explanation:
12 x 0.25 = 48
Which of the following choices is the correct translation of the statement: “the length of a rectangle if the length is twice the size of the width increased by one”?
Answers
The statement 'the length of a rectangle if the length is twice the size of the width increased by one' translates into the equation l = 2w + 1 in mathematical terms. This equation represents a relationship between the rectangle's length (l) and width (w), with the length being twice the width, increased by one.
Explanation:The correct translation of the statement 'the length of a rectangle if the length is twice the size of the width increased by one' is mathematical in nature. This sentence is describing a relationship between the length and width of a rectangle.
To put it into an equation, start by denoting the width of the rectangle as 'w'. The statement says that the length is twice this width (2w) plus one. So, the length 'l' can be represented as:
l = 2w + 1
This equation shows the relationship between the length and width of a rectangle according to given statement. For practical purposes, you can insert a numerical value for width 'w' and perform the calculation on the right side to find the length 'l'.
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The mathematical expression translating the phrase is 'L = 2W + 1', where 'L' represents length of the rectangle and 'W' represents the width. It indicates that the length is twice the width, and further increased by one.
Explanation:The correct translation of the statement 'the length of a rectangle if the length is twice the size of the width increased by one' would result in a mathematical expression for the length of the rectangle (L). If we denote the width of the rectangle as W, then we could represent the length of the rectangle as follows:
L = 2W + 1
This expression indicates that the length is twice the size of the width, and then increased by one. Depending on the value of W, we plug it into the equation to determine the length of the rectangle.
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Amanda is riding her bicycle. She takes 5 hours to ride 62.5 kilometers. What is her speed?
Answers
Answer:
12.5 per kilometers
Step-by-step explanation:
to find speed is going to be distance divided by time so 62.5/5
so her speed is going to be 12.5
Amanda's average speed while riding her bicycle is found by dividing the total distance of 62.5 kilometers by the total time of 5 hours, resulting in an average speed of 12.5 kilometers per hour.
To calculate her speed, we use the formula for speed, which is speed = distance ÷ time. Applying the given values, we have speed = 62.5 kilometers ÷ 5 hours.
Therefore, Amanda's average speed is 12.5 kilometers per hour. This calculation involves dividing the total distance traveled by the total time taken, resulting in the average speed over the journey.
Make (X-12)/(x-8) equal to zero
A)-2
B)-8
C)2
D)8
Answers
Answer:
x=12 makes (X-12)/(x-8) equal to zero
x=8 makes (X-12)/(x-8) undefined
Step-by-step explanation:
(x-12)/(x-8) = 0
The first step is to multiply each side by x-8
(x-8) *(x-12)/(x-8) = 0 * (x-8)
This cancels the denominator. x≠ 8 because the denominator would equal 0 and then it becomes undefined.
x-12 = 0
Add 12 to each side
x-12+12 = 0+12
x = 12
I
15. You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, how much would you pay at the physical store after all discounts, taxes, and shipping fees have been applied?
Answers
The total amount you would pay at the physical store after all discounts, taxes, and fees have been applied is [tex]{128.36} \)[/tex].
Let's go through the calculations again to find the final cost at the physical store after all discounts, taxes, and fees.
Physical Store Pricing:
- Batteries: 2 packs at $5.99/pack
- Stereo: 1 system at $100.00
- CDs: 3 CDs at $7.95 each
Discounts and Taxes in the Physical Store:
1. 10% Off Coupon: This coupon applies to the total purchase amount before tax.
2. Sales Tax: 5% sales tax applies to the total purchase amount after applying discounts.
Calculation Steps:
Step 1: Calculate the total cost of items before discounts and tax:
- Batteries: 2 packs × $5.99/pack = $11.98
- Stereo: $100.00
- CDs: 3 CDs × $7.95/CD = $23.85
Total before discounts: $11.98 + $100.00 + $23.85 = $135.83
Step 2: Apply the 10% off coupon:
- 10% of $135.83 = $13.583
- Total after 10% off: $135.83 - $13.583 = $122.247
Rounded to two decimal places: $122.25
Step 3: Apply the 5% sales tax:
- 5% sales tax on $122.25:
[tex]\[0.05 \times 122.25 = 6.1125\][/tex]
Rounded to two decimal places: $6.11
Step 4: Calculate the final cost at the physical store:
- Total cost after tax: $122.25 + $6.11 = $128.36
The complete question is
You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, how much would you pay at the physical store after all discounts, taxes, and shipping fees have been applied?
Item Quantity Physical Store Online Store
Batteries 2 packs $5.99/pack $4.99/pack
Stereo 1 system $100.00/system $90.00/system
CDs 3 CDs $7.95/CD $8.95/CD
Please help me answer both questions if they are correct I’ll give brainliest
Answers
Answer:
see explanation
Step-by-step explanation:
(4)
Under a counterclockwise rotation about the origin of 90°
a point (x, y) → (- y, x), hence
C(- 3, 4) → C'(- 4, - 3)
(5)
Under a clockwise rotation about the origin of 180°
a point (x , y) → (-x, - y), hence
A(- 3, 2) → A'(3, - 2)
the total cost of four boxes of pasta is $14 There are 16 oz of pasta in each box of the same amount what is the maximum number of boxes that can be purchased with $65
Answers
Answer:
18.5 but rounded to 19 because you cant have half of a box
Step-by-step explanation:
because each box costs 3.5 dollars because i did 1 4 divided by 4.then you want to get to 65 so i did 3.5 divided by 65 then got 18.5 which was rounded because the decimal was big This was the real decimal 18.5714286. THIS MIGHT BE WRONG
At a restaurant, four people ordered fried crab cakes and four people ordered a cup of gumbo, with a total of $31. If only two people had ordered the crab cakes and one person ordered the gumbo, the bill would have been $12.25. How much are each order of fried crab cakes and each cup of gumbo? (Can you please show the steps?) Thank you.
Answers
Answer:
Fried crab cakes = $4.50
Cup of gumbo = $3.25
Step-by-step explanation:
Let's make the price of fried crab cakes = x and the price of a cup of gumbo = y. Set up two equations for x and y and solve for each variable.
Setting up the equations:4 people ordered x and 4 people ordered y for a total of 31 dollars, so this equation would look like: 4x + 4y = 31
2 people ordered x and 1 person ordered y for a total of $12.25, so this equation would look like: 2x + y = 12.25
Substitution method:Now you have your two equations-- solve for a variable in one of the equations and substitute that value into the other equation.
The easiest way to start would be to solve for y in the second equation by subtracting 2x from both sides.
y = 12.25 - 2x
Substitute this value into the first equation.
4x + 4(12.25 - 2x) = 31
Now solve for x-- start by distributing 4 inside the parentheses.
4x + (49 - 8x) = 31
Combine like terms.
-4x + 49 = 31
Subtract 49 from both sides.
-4x = -18
Divide both sides by -4.
x = 4.5
Substitute this value of x into our starting equation for which we solved for y.
2(4.5) + y = 12.25
Multiply 2 and 4.5 together.
9 + y = 12.25
Subtract 9 from both sides.
y = 3.25
Each order of fried crab cakes is worth the x-value [$4.50] and each cup of gumbo is worth the y-value [$3.25].
In this system of linear equations, by denoting the cost of the fried crab cakes as x dollars, and the cost of a cup of gumbo as y dollars, we find that each order of fried crab cakes is $4.50 and each cup of gumbo is $3.25.
Explanation:The subject of this problem is linear algebra, and it can be solved using a system of linear equations. Let's denote the cost of the fried crab cakes as x dollars, and the cost of a cup of gumbo as y dollars.
From the information given in the problem, we can create the following two equations:
4x + 4y = 31 (This is from the information that four people ordered fried crab cakes and four people ordered a cup of gumbo, with a total of $31.)2x + y = 12.25 (This is from the information that if only two people had ordered the crab cakes and one person ordered the gumbo, the bill would have been $12.25.)Now, we can solve this system of equations. Divide the first equation by 2, which will give us:
2x + 2y = 15.5
Then subtract the second equation from the result, which will give us:
y = 3.25
Substitute y = 3.25 into the second equation:
2x + 3.25 = 12.25
Finally, solve for x:
x = 4.5
So, each order of fried crab cakes is $4.50 and each cup of gumbo is $3.25.
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HELP NOW PLLLLLZZZZZ!
A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? [1 mile = 1.6 km]
A. 0.3
B. 0.8
C. 2.5
D. 3.2
Answers
Answer: The car would need 0.3 gallons of fuel to travel 20km.
Step-by-step explanation: 40mile x 1.6km = 64km
1 gallon 1 mile 1 gallon
20km ÷ 64km = 0.3125
Answer:
In 0.3 gallon of fuel, the car will travel 20 km.
A is the correct option.
Step-by-step explanation:
We have been given that in 1 gallon of fuel the car can travel 40 miles.
Now, 1 mile = 1.6 km.
Hence, in 1 gallon the car travel 40×1.6 = 64 km
Let the car will consume x gallons of fuel to travel 20 km.
Thus, we have the equation
[tex]\frac{1}{64}=\frac{x}{20}[/tex]
ON solving for x
[tex]x=\frac{20}{64}\\\\x=0.3[/tex]
Therefore, in 0.3 gallon of fuel, the car will travel 20 km.
A is the correct option.