Answers
Answer:
31.9 mi
Step-by-step explanation:
AC/sin(angleABC) = AB/sin(angleACB)
Related Questions
Lauren can spend no more then 10$ at a video game arcade. Each game in the arcade costs 0.25$
Answers
step-by-step explanation:
10/0.25
40
4. Torrie has $430 and Sonia has $760. John has the same number of dollars more than Torrie as he has less than Sonia. How much money does John have?
Answers
To solve this problem, we can set up the following equation:
Torrie + John = Sonia - John
This equation represents the fact that John has the same number of dollars more than Torrie as he has less than Sonia. We can then substitute the given values for Torrie, Sonia, and John to solve for John:
430 + John = 760 - John
Combining like terms, we get:
2 * John = 330
Dividing both sides of the equation by 2, we get:
John = 165
Thus, John has $165.
The graph of which function has an amplitude of 3 and a right phase shift of ?
y = 3+ sin 2(x - 5)
y = 3sin 2(2
y = 3+ sin 2 (2+)
y = 3sin 2(x + 5)
Answers
Answer:
Option 4
Step-by-step explanation:
Equation representing the sine function is,
y = Asin[B(x- C)] + D
Here, A = Amplitude
B = [tex]\frac{2\pi }{\text{Period}}[/tex]
C = Phase shift
D = Vertical shift
If the amplitude of the the given function = 3 and right phase shift = [tex]\frac{\pi }{4}[/tex]
Therefore, equation of the sine function will be,
[tex]y=3\text{sin}B(x-\frac{\pi }{4})+D[/tex]
By comparing this equation with the given options,
Equation representing right phase shift = [tex]\frac{\pi }{4}[/tex] and amplitude = 3,
[tex]y=3\text{sin}2(x-\frac{\pi}{4})[/tex]
This equation represents right phase shift = [tex]\frac{\pi }{4}[/tex] and amplitude = 3.
Therefore, Option 4 is the correct option.
Which of these ratios are equivalent? Choose all that apply.
1) 16:4
2) 2:1
3) 32:2
4) 480:120
5) 4:16
6) 4:1
Answers
The ratios which are equivalent are as follows:
1) 16:4
4) 480:120
6) 4:1
Step-by-step solution:
1) 16:4
[tex]=\frac{16}{4}[/tex]
[tex]=\frac{4}{1}[/tex]
4:1
2) 2:1
[tex]=\frac{2}{1}[/tex]
2:1
3) 32:2
[tex]=\frac{32}{2}[/tex]
[tex]=\frac{16}{1}[/tex]
=16:1
4) 480:120
[tex]=\frac{480}{120}[/tex]
[tex]=\frac{4}{1}[/tex]
=4:1
5) 4:16
[tex]=\frac{4}{16}[/tex]
[tex]=\frac{1}{4}[/tex]
=1:4
6) 4:1
[tex]=\frac{4}{1}[/tex]
=4:1
Therefore, the correct solution to this question is:
1) 16:4
4) 480:120
6) 4:1
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Answer:
16:4 and 480:120 and 4:1 are equivalent.
Step-by-step explanation:
S Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her money? First, determine what information you need to answer this question, then click here to display that info (along with other info). • How much water does Janine drink in a day? She normally drinks 6 bottles a day, each 16.9 ounces. How much does a bottle of water cost? She buys 24-packs of 16.9 ounce bottles for $3.99. • How much does a reusable water bottle cost? About $10. • How long does a reusable water bottle last? Basically forever (or until you lose it). . • How much does a water filter cost? How much water will they filter? o A faucet-mounted filter costs about $28 and includes one filter cartridge. Refill filters cost about $33 for a 3-pack. The box says each filter will filter up to 100 gallons (378 liters) o A water filter pitcher costs about $22 and includes one filter cartridge. Refill filters cost about $20 for a 4-pack. The box says each filter lasts for 40 gallons or 4 months • An under-sink filter costs $130 and includes one filter cartridge. Refill filters cost about $60 each. The filter lasts for 500 gallons. Which option is cheapest over one year (365 days)? faucet-mount filter The cheapest option saves her $ Give your answer to the nearest cent. Pro-rate the costs of additional filters (so if you only use part of a filter, only count the corresponding fraction of the filter cost) and pro-rate the cost of the bottled water (so if you only use part of a case, only count the cost for the portion of the case used). over a year.
Answers
Janine currently spends about $150.11 on bottled water every year.The total sum of the cost for the pitcher filter is $42. The sink filter costs $130
The first step in finding how much money Janine will save is to calculate how much water Janine drinks and how much bottled water costs her in one year.
To find how much money Janine currently spends on water, calculate the number of cases of water she buys each year (365 days / (24 bottles in a case/ 3 bottle per day) and multiply this number by the price per case ($3.29) to find that Janine currently spends about $150.11 on bottled water every year.To calculate the amount of water Janine drinks each year we multiply the amount she drinks in one day (3 bottles x 16.9oz per bottle) by 365 and then since there are 128 ounces in a gallon, we divide this number by 128 to find that she drinks 144.6 gallons of water each yearThe next step in this problem is to calculate the cost of each water filter in the first year. To find this, add the cost of the reusable water bottle, the cost of the filter, and the cost of any additional filters needed.
The faucet filter costs $28 dollars and includes a filter, plus each additional filter costs $11. Since the filter will last for 100 gallons, we can subtract that amount from the total water she drinks in a year to find the cost of filtering the remainder of the water in the year (144.6 gallons- 100gallons /$11). The total sum of the cost of the faucet filter and reusable water bottle in the first year is $42.91.The pitcher filter costs $22 and each additional filter costs $5. Since the included filter lasts 4 months, Janine will need two additional replacement filters for the other 8 months of the first year. The total sum of the cost for the pitcher filter is $42.The sink filter costs $130 and since the included filter will work for 500 gallons of water, Janine will not need to purchase additional filters in the first year. The total cost of the sink filter is $140.From these calculations, you can see that the pitcher filter is the cheapest option and will save Janine $108.11 in her first year of using this filter.Lastly the question asks you to pro-rate the cost of each filter
Since the faucet filters cost $11 each and filter 100 gallons of water, this filter costs 11 cents per gallon and $15.91 per year. She will have to begin replacing these filters approximately 8 months after the initial purchase of the filter.Filtering 40 gallons and costing $5 each the pitcher filter costs 12.5 cents per gallon and $18.08 per year. She will have to replace these filters every 4 months.The sink filter filters 500 gallons of water and costs $60, so it costs 12 cents per gallon and $17.35 per year. She will not have to replace this filter for about 3 and half years after the initial purchase.Learn more about cost at:
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Need emergency help and want correct answers with explanation
Answers
Answer:
250 degrees
Step-by-step explanation:
The arc intercepted by the angle formed by a secant and a tangent is twice the measure of the angle. See the attached image. The intercepted arc measures 110 degrees.
x is the measure of the rest of the circle, so it is 360 - 110 = 250 degrees.
what is 3 1/2 x 2 1/3
Answers
Answer:
8 1/6
Step-by-step explanation:
The product of fractions 3 1/2 × 2 1/3 = 49/6 or can also express it as a mixed fraction: 8 1/6.
To multiply mixed fractions like 3 1/2 and 2 1/3, follow these steps:
Step 1: Convert the mixed fractions into improper fractions.
3 1/2 = (3 × 2 + 1) / 2 = 7/2
2 1/3 = (2 × 3 + 1) / 3 = 7/3
Step 2: Multiply the numerators and denominators of the fractions.
(7/2) × (7/3) = (7 × 7) / (2 × 3) = 49/6
Step 3: Simplify the resulting fraction, if possible.
49/6 cannot be simplified further.
Therefore, 3 1/2 × 2 1/3 = 49/6 or can also express it as a mixed fraction: 8 1/6.
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A spinner at the fair has 5 sections. The sections are numbered 10, 20, 30, 40, and 50. During the first hour, players spun the spinner 200 times. The results are shown in the table below. Results for the First Hour Spinner Number Number of Times Spun 50 10 40 20 30 40 20 50 10 80 During the last hour of the fair, the arrow on the spinner was spun 50 times. Based on information from the table, what number is the most reasonable prediction of the number of times the arrow stopped on 30?
Answers
Answer:
im guessing 30 or 40
Step-by-step explanation:
calculate the surface area
help plsss
Answers
find the area of the two triangles and double them(or just not divide by two on both of them since they’re being doubled anyways) and then add the area of the bottom rectangle.
29. What is length of x?
Please explain this one too me since I did not understand it thanks
Answers
The length x is found to be 10 yards and is calculated using Polygon Triangulation.
What is Polygon Triangulation?
The polygonal triangulation is a method in which the area of polygon is divided into triangles to simplify calculation.
From the attached figure, we can find a using Pythagorus Theorem
a = [tex]\sqrt{6^{2} - 4.8^{2} }[/tex] = 3.6
cos θ = [tex]\frac{4.8}{6}[/tex] = 0.8
In ΔXYZ
cos θ = [tex]\frac{8 + 4.8 }{x+ 6} \\\\[/tex]
0.8 = [tex]\frac{12.8}{x + 6}[/tex]
Solving for x,
x = 10 yards
Therefore the length of x found using polygonal triangulation method is 10 yards.
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Two piggy banks have a sum of $36.50. The first piggy bank has $13.75. How much does the second piggy bank have in it?
Answers
Answer:
22.75
Step-by-step explanation:
ur welcome hOWdAy
SOMEONE PLEASE HELP!! i need it due right now!
a) 4a= 32 : (a) = ____
b) 4 = 32b : (b) = ____
c) 10c = 26 : (c) = ____
d) 26 = 100d : (d) = ____
Answers
B) b=1/8
C) c=13/5
D) d=13/50
(a)4a÷4=32÷4
a=8
(b)4/32=32b/32
1/8=b
therefore b=1/8
(c)10c/10=26/10
c=13/5
(d)26/100=100d/100
13/50=d
therefore d =13/50
75 yd
40 yd
What is the length of the hypotenuse.
Help
Answers
75^2+40^2=x^2
5625+1600=7225
Square root of 7225 is 85
So hypotenuse is 85 yd
HELPPPPPPPPPPPPPPPPPPPPPPP
Answers
30
I DONT KNOW BUT THAT'S MY ANSWER HOPE IT HELP
Step-by-step explanation:
Is it +30 or - 30
If it was -ve under root it will be complex or imaginary number but it is a easy question
THIS ONE TOO PLEASE
Answers
A line that crosses the origin is symbolized by the equation y=mx. The line going through the origin equation is also y=2x.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
The line going through the origin equation is also y=2x.
A line that crosses the origin is symbolized by the equation y=mx.
Also, y=2x satisfies the point (0,0)
A line that crosses the origin is symbolized by the equation y=mx. The line going through the origin equation is also y=2x.
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100 points please answer
Answers
The best answer is to simplifying each of the identity separately to get the same expression on both sides. Option C
What are trigonometric identities?Trigonometric identities are described mathematically as equalities consisting of trigonometric functions that proves true for all the value of occurring variables for which both sides of equality are defined.
These involve certain functions of one, two or more angles.
They also are different from triangle identities, which involves angles and side lengths of a triangle.
To verify a trigonometric identity, we take the following steps;
Convert the equalities to terms of sine and cosine.Solve the identities at possible timesThen, simplify the left-hand side of the equation, before simplifying the right-hand side.Hence, the best option is C
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The value of a brand new car is \$25,000$25,000 and the value depreciates 17% every year. Write a function to represent the value of the car after tt years, where the quarterly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per quarter, to the nearest hundredth of a percent.
Answers
Answer:
25,000 - .17t
Step-by-step explanation:
value of y please help me
Answers
Step by step
We know the triangle dum is equal to 180
One angle is 40, so 180 - 40 = 140
The two angles labeled x are congruent, so 140 / 2 = 70.
X = 70
Now the supplement angle of x and 5y = 180 degrees.
70 + 5y = 180
Subtract 70 from both sides to isolate y
70 - 70 + 5y = 180 - 70
Simplify
5y = 110
Divide both sides by 5 to solve for y
5/5 y = 110/5
y = 22
4x+5y=-7
-5x-3y=-1
I need help with this question since im not smart
Answers
Answer:
To solve this system of equations, you can use the method of elimination. To do this, you can add the two equations together:
4x + 5y - 5x - 3y = -7 - 1
-x + 2y = -8
Then, you can divide both sides of the equation by -1 to solve for y:
x - 2y = 8
y = (x - 8) / 2
Now that you have solved for y, you can substitute this expression back into either of the original equations to solve for x. For example, you can substitute y = (x - 8) / 2 into the first equation to get:
4x + 5((x - 8) / 2) = -7
4x + 5x - 40 = -7
9x = 33
x = 3.67
Now that you have solved for both x and y, you can find the solution to the system of equations:
x = 3.67
y = (3.67 - 8) / 2 = -2.17
So, the solution to the system of equations is x = 3.67 and y = -2.17.
NEED HELP!!!!!!! ASAP!!!!!!
Answers
Answer:
5
Step-by-step explanation:
base length = 2a/h -b
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
Answer:
The three statements that are always true regarding this diagram are:
m∠3 + m∠4 + m∠5 = 180°
m∠2 + m∠3 + m∠5 = 180°
m∠2 + m∠3 = m∠6
Here's why:
The sum of the measures of the interior angles of a triangle is always 180°. Therefore, m∠2 + m∠3 + m∠5 = 180°.
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. Therefore, m∠4 = m∠2 + m∠5, and m∠3 + m∠4 + m∠5 = 180°.
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. Therefore, m∠6 = m∠2 + m∠3.
The other two statements are not always true. For example, if m∠5 = 100° and m∠3 = 80°, then m∠5 + m∠3 = 180°, but m∠4 ≠ 0°. Similarly, if m∠5 = 100° and m∠6 = 80°, then m∠5 + m∠6 ≠ 180°.
Step-by-step explanation:
Exam Questions
James finds a hotel to book for 6 nights in Cape Town.
The hotel has an offer for the time they will be staying,
Special Offer
4 nights for the price of 3
Double room
2170 South African Rand per night
James books one double room for 6 nights.
At the time of booking he pays a deposit of 15% of the total cost
He will pay the rest of the total cost when they arrive at the hotel.
(a) How much will James have to pay when they arrive at the hotel?
Answers
Answer:chciken
Step-by-step explanation:
Part A
Open the angle translation application. The right angle is a translation 7 units right of the left angle. Drag the left angle and try to move it onto the right angle. Are the angles the same? What does this mean about how angles change when you translate them?
Part B
Open the angle rotation application. The right angle is a 90° clockwise rotation of the left angle. Click the 90° clockwise button. Are the angles the same? What does this mean about how angles change when you rotate them?
Part C
Open the angle reflection application. The top angle is a reflection across the x-axis of the bottom angle. Click the reflection over x-axis button. Are the angles the same? What does this mean about how angles change when you reflect them?
Part D
Open the parallel lines translation application. The right set of parallel lines is a translation right 10 units of the left set of parallel lines. Drag the left set of parallel lines and try to move them onto the right set. Are the two sets of parallel lines the same? What does this mean about how parallel lines change when you translate them?
Part E
Open the parallel lines rotation application. The right set of parallel lines is a 90° rotation counterclockwise of the left set of parallel lines. Click the 90° counterclockwise button. Are the two sets of parallel lines the same? What does this mean about how parallel lines change when you rotate them?
Answers
The following question is about the Translation of Angles and Parallel lines. See a detailed answer below.
What is Angle Translation?In geometry, when you translate an object, it means that you have turned that object in a different direction. Hence a translated angle is an angle that has been turned in a different direction.
From the first option in part A, it is clear from the image that the angle didn't change. It moves 7 units from the positive to the negative part of the x-axis. From Part B, the angles also do not change. Note that when an angle is rotated or translated, it does not modify the angles.From Part C, what we have is the reflection of the angles. This means that both angles are equal because they are a reflection of each other.From Part D, the two sets of parallel lines will remain parallel to each other also long as they are both translated as the same time.From part E, although in each set of parallel lines, the two sets of lines remain equidistant to each other, the parallel line that is at an angle to the Y-axis will not intersect that which is at an angle to the x-axis if they are extended infinitely.Learn more about Angle Translation at:
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what is the greatest common factor of 30b^2, 80b^, 20b^3?
Answers
Answer:
10b^2
Step-by-step explanation:
30b^2: 5 * 2 * 3 * b^2
80b^2: 5 * 2 * 2 * 2 *2 * b^2
20b^3: 5 * 2 * 2 * b^2 * b
The highest common factor is in bold script. It is 10b^2
FIRST PERSON TO GET CORRECT GETS BRAINLIEST!!!!!!!!1
A circle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located at (x, y), which ordered pair represents the center of the new circle after the transformation?
1. x,y
2. x, -y
3. -x,y
4. -x,-y
Answers
Answer:
Option C. (-x,y)
Step-by-step explanation:
we know that
A point reflected across the y-axis has the following rule
(a,b)------> (-a,b)
so
If the center of the original circle was located at (x, y)
then
the center of the new circle after the transformation will be (-x,y)
Answer: 3. -x, y
Step-by-step explanation: we know that
A point reflected across the y-axis has this rule
(a,b)------> (-a,b) so if the center of the original circle was located at (x, y) then the center of the new circle after the transformation will be (-x,y)
jakie pole ma prostokąt o wymiarach 50cm x 16dm?
Answers
Solution
16 dm=160 cm
50 cm* 160 cm= 8000 cm²= 0,8 m²
odp C
An English teacher reviewed 2 3 of an essay in 1 4 of an hour. At this rate, how many essays can she review in 1 hour? Simplify your answer and write it as a proper fraction, mixed number, or whole number. essays
Answers
The essays that she can review in 1 hour would be; 2 2/3.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
We are given that English teacher reviewed 2 /3 of an essay in 1/ 4 of an hour.
Thus, Fraction of the essay reviewed = 2/3
Amount of time used = 1/4
Therefore, the fraction of essay for an hour can be calculated as;
= Fraction of the essay reviewed / Amount of time used
= 2/3 ÷ 1/4
= 2/3 × 4
= 8/3
= 2 2/3
Hence, She will review 2 2/3 essay.
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Estimate 11,319+4,865 by first rounding each number to the nearest thousand.
Answers
Answer:
16,000
Step-by-step explanation:
11,319 rounded to the nearest thousand is 11,000.
4,895 rounded to the nearest thousand is 5,000.
11,000 + 5,000 is equal to 16,000.
find x
y=\frac{1}{4} x+3
Answers
Work Shown:
[tex]\text{y} = \frac{1}{4}\text{x}+3\\\\\text{y}-3 = \frac{1}{4}\text{x}\\\\\frac{1}{4}\text{x}=\text{y}-3\\\\\text{x}=4(\text{y}-3)\\\\\text{x}=4\text{y}-12\\\\[/tex]
n% of 28 is 14 `percentage`
Answers
Answer:
The Percentage is 50% because 14 is the half of 28.