Answer:
1.) b/19
Step-by-step explanation:
a/b=12/19
you can always swap the b and the 12 (quick SAT trick)
To find the ratio that completes the equivalent proportion for a/12 using the given proportion a/b = 12/19, you will need to use cross multiplication.
Let's denote x as the unknown value that we are trying to find such that a/12 = b/x. To solve for x, we set up the proportion like this:
a/12 = b/x
Now let's cross multiply:
a * x = 12 * b
Since we know from the initial proportion that a/b = 12/19, we can substitute 12/19 for a/b in the equation:
(12/19) * b * x = 12 * b
Now we have b on both sides of the equation, and assuming b is not equal to zero, we can divide both sides of the equation by b to solve for x:
(12/19) * b * x / b = 12 * b / b
12/19 * x = 12
Now we need to isolate x:
x = 12 / (12/19)
To simplify this, you can multiply 12 by the reciprocal of 12/19, which is 19/12:
x = 12 * (19/12)
The 12s cancel each other out:
x = 19
Therefore, the ratio that completes the equivalent proportion is b/19.
The correct answer is:
1.) b/19
Please help!!!
A shooting star forms a right triangle with the Earth and the Sun, as shown below: A right triangle is shown with the vertices labeled Earth, Sun, and Shooting Star. The angle formed by the Sun is labeled x deg A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star. (10 points)
Answer:
- The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.
- The scientist can substitute these measurements into [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex] and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).
Step-by-step explanation:
You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.
Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.
This is:
[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]
In this case:
[tex]\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC[/tex]
Therefore, the scientist can substitute these measurements into [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex] , and solve for the distance between the Sun and the shooting star "AC":
[tex]cos(x\°)=\frac{y}{AC}[/tex]
[tex]AC=\frac{y}{cos(x\°)}[/tex]
The scientist can use the two measurements by applying the knowledge of trigonometry, particularly Cosine (cos).
[tex]cos x = \frac{adjacent (y)}{hypotenuse (AC)}[/tex]
AC = [tex]\frac{y}{cos x}[/tex]
where the distance between the shooting star and the sun is AC
and the distance between Earth and Sun is BC = y
the right angled triangle has three sides
Hypotenuse (hyp): longest sideOpposite (opp): the side facing the angle of interestAdjacent (adj): the remaining sidecosine (θ) = [tex]\frac{adj}{hyp}[/tex]
sine (θ) = [tex]\frac{opp}{hyp}[/tex]
tan (θ) = [tex]\frac{opp}{adj}[/tex]
where (θ) = angle of interest
What is trigonometry?This is the branch of mathematics that is concerned with angles of triangles as well as the length of it's sides.
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Camryn practices the trumpet every 11^\text{th}11
th
11, start superscript, t, h, end superscript day and the flute every 3^\text{rd}3
rd
3, start superscript, r, d, end superscript day.
Camryn practiced both the trumpet and the flute today.
How many days until Camryn practices the trumpet and flute again in the same day?
Answer:
10
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
I hope this helped it took so long to find.
Is 6.610 a rational number
Answer:
yes
Step-by-step explanation:
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex], where a, b are integers
6.610 can be expressed as
6 [tex]\frac{610}{1000}[/tex] = [tex]\frac{6610}{1000}[/tex] ← a rational number
6.610 is a rational number.
What is a rational number ?A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Or in other words, any number that can be written as a ratio (or fraction) of two integers is a rational number.
Thus 6.610 is definitely a rational number as it satisfies the definition of a rational number.
We have, 6.610 = 661/100 which is expressed as the ratio of two integers.
Therefore, 6.610 is a rational number.
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Find the value of each variable. Line / is a tangent
Answer:
a° = 118° , b° = 49° , c° = 144° , d° = 98°
Step-by-step explanation:
* Lets study the figure and take the information to solve the question
- There is a circle
- There is an inscribed triangle in the circle
- Each vertex of the triangle is an inscribed angle in the circle
- Each vertex subtended by an arc
- The measure of any inscribed angle is half the measure of its
subtended arc
* Now lets solve the question
- The sum of the measures of the interior angles of a triangle is 180°
∵ The triangle has angle of measure 59° and another angle of
measure 72°
∴ The measure of the third angle = 180° - (59° + 72°) = 49°
∵ b° is the measure of the third angle in the triangle
∴ b° = 49°
- The arc of measure a° is intercept the angle of measure 59°
∵ The measure of the angle is half the measure of the arc
∴ 1/2 a° = 59° ⇒ multiply both sides by 2
∴ a° = 118°
- The arc of measure c° is intercept the angle of measure 72°
∵ The measure of the angle is half the measure of the arc
∴ 1/2 c° = 72° ⇒ multiply both sides by 2
∴ c° = 144°
- The arc of measure d° is intercept the angle of measure 49°
∵ The measure of the angle is half the measure of the arc
∴ 1/2 d° = 49° ⇒ multiply both sides by 2
∴ d° = 98°
What is the value, after 7 years, of a 2014 Ford Mustang that originally cost $25,000.00 if the depreciate at a rate of 8% per year? Round your answer to the nearest dollar.
Answer:
$14,236
Step-by-step explanation:
25000 x 0.92 = 23000 = 1 Year
23000 x 0.92 = 21600 = 2 Years
19872
18282.24
16819.66
15474.09
14236 = 7 Years
The answer would be 14000
Nia recorded her science and math scores.The measures of center and variation for each score are shown in the table below.
1, 3, 5
You can tell by looking that her science mean is greater than her math mean.
The higher range number means that her scores in math are more varied and spread out than her science scores.
You can tell by looking that the median scores are the same.
Answer:
A, C, E
Step-by-step explanation:
A gym membership at Gym A costs $12 every month plus a one-time membership fee of $36, and a gym membership at Gym B costs $20 every month plus a one-time $20 membership fee. After about how many months will the gym memberships cost the same amount?
After 2 months, the gym memberships at Gym A and Gym B will cost the same amount, based on the membership cost equations of each gym.
Explanation:We need to determine after how many months the total costs of gym memberships at Gym A and Gym B will be the same. The cost of a gym membership at Gym A is described by the equation C = 12m + 36, where C represents the total cost and m represents the number of months. For Gym B, the cost is given by the equation C = 20m + 20.
To find the number of months where the costs are equal, we set the two equations equal to each other:
12m + 36 = 20m + 20
Subtracting 12m from both sides gives us:
36 = 8m + 20
Subtracting 20 from both sides gives us:
16 = 8m
Dividing both sides by 8 gives us:
m = 2
Therefore, after 2 months, the total costs for gym memberships at both Gym A and Gym B will be the same.
addison walked 6 miles in 4 hours what was her walking rate in hours per mile
Answer: 0.66 hours per mile
Step-by-step explanation:
You know that in 4 hours Addison walked 6 miles.
Now, you need to calculate the amount of hours she walked in 1 mile.
Let be "x" the amount of hours she walked in 1 mile.
Then, to calculate the value of "x" you need to multiply 1 mile by 4 hours and divide by 6 miles:
[tex]x=\frac{(1mile)(4hours)}{6miles}\\\\x=\frac{2}{3}\ hours[/tex]
[tex]x[/tex]≈[tex]0.66\ hours[/tex]
Therefore, her walking rate in hours per mile was:
0.66 hours per mile
The triangles are similar. What is the value of x? 48,52,20 / 12,x,5
Answer:
The value is 13
Step-by-step explanation:
You can notice that 48/12 is 4 and 20/5 is 4. Therefore, divide 52 by 4
The value of x is 13.
Similar triangle :Two triangles are said to be similar when corresponding angles of both triangles are congruent and ratio of corresponding sides are in equal proportion.
Given that, sides of one triangle are 48, 52, and 20.
Sides of other triangle are, 12, x and 5
Since, corresponding sides are in the proportion.
[tex]\frac{48}{12}=\frac{20}{5}=\frac{52}{x} \\\\x=\frac{52}{4}=13[/tex]
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is mean affected by outlier
Answer:
it measures spread around the mean. Because of its close links with the mean, standard deviation can be greatly affected if the mean gives a poor measure of central tendency. Standard deviation is also influenced by outliers one value could contribute largely to the results of the standard deviation.
Step-by-step explanation:
Answer with explanation:
Mean of a data set is defined as sum of all the observation divided by total number of observation.
For, example
Consider the Data set,the cost of five pens,={3,5,8,10,14}
Mean
[tex]=\frac{3+5+8+10+14}{5}\\\\=\frac{40}{5}\\\\=8[/tex]
Now, Two pens having cost $ 47 and $ 53 is included in the Data set
New data set of Seven pens,={3,5,8,10,14,47,53}
Mean
[tex]=\frac{3+5+8+10+14+47+53}{7}\\\\=\frac{140}{7}\\\\=20[/tex]
So, you can see there is variation or Difference between two means.
We can conclude from above two results ,that mean is affected by outlier.
student tickets for the football game cost $12 each and adult ticket cost $20 $1,720 was collected for the 100 tickets sold at the last game which system of equations can be used to solve for the numbers of each kind of ticket sold
Answer:
B) x+y=120; 12x+20y=1720
Step-by-step explanation:
If variables are defined as ...
x = number of student tickets sold
y = number of adult tickets sold
then the problem statement can be modeled by ...
x + y = 120 . . . . . . the total number of tickets sold is 120
12x + 20y = 1720 . . . . . the total collected from ticket sales was $1720
___
Total revenue is the sum of the revenues from sales of each ticket type. The revenue from a given ticket type is the product of that ticket price and the number sold.
Marcus Sells homemade pies for $10.50 a pie. it cost $1.25 for the ingredients to bake Each pie . Marcus bought a new oven for $800 how many pies must Marcus sell in order give me a profit
$10.50 a $1.25 is $9.75 then you do $800 / $9.75 which is 82.05 so we round up with any decimal and he would need to sell 83 pies to start making a profit.
which sampling method is the most popular way to sample?
A. simple random sampling
B. systematic random sampling
C. stratified random sampling
D. Cluster sampling
Answer:
simple random sampling
Step-by-step explanation:
Simple random sampling is the fundamental sampling technique in which a group of subjects is selected for a particular study from a larger group, the population. Each subject is chosen purely by chance and each individual of the larger group (population) has an equal probability of being included in our sample.
The ratio of dogs to cats at the pet stores 1:3. If there are 6 more cats than Dogs, how many dogs are the pet store?
Answer:
3
Step-by-step explanation:
The number of dogs are 3 if the ratio of dogs to cats at the pet store's 1:3. If there are 6 more cats than Dogs.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
The ratio of dogs to cats at the pet stores is:
1:3
Let's suppose there are x dogs, then cats are 3x
3x = x + 6
2x = 6
x = 3
Thus, the number of dogs are 3 if the ratio of dogs to cats at the pet store's 1:3. If there are 6 more cats than Dogs.
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what is (-5/8)×(2/3)
[tex]\frac{-5}{8} * \frac{2}{3}[/tex]
Multiply the top with the top and the bottom with the bottom:
[tex]\frac{(-5)*2}{8*3}[/tex]
[tex]\frac{-10}{24}[/tex]
Then you can simplify:
[tex]\frac{-5}{12}[/tex]
Hope this helped!
Answer:
-5/12
Step-by-step explanation:
Multiply the top of both fractions and the bottom of both fractions, -5*2=-10,8*3=24
so -10/24 can be simplified to -5/12
Write an equation of the line that is perpendicular to the line y =
1
3
x + 6 that passes through the point (2,-3).
Answer:
y = -3x + 3Step-by-step explanation:
[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================[/tex]
[tex]\text{We have the equation}\ y=\dfrac{1}{3}x+6\to m_1=\dfrac{1}{3}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{3}}=-3.\\\\\text{We have the equation}\ y=-3x+b.\\\\\text{Put the coordinates of the point}\ (2,\ -3):\\\\-3=-3(2)+b\\-3=-6+b\qquad\text{add 6 to both sides}\\3=b\to b=3\\\\\text{Finally:}\\\\y=-3x+3[/tex]
What is the solution to the linear equation? 2/3x – 1/2 = 1/3 + 5/6 x
Answer:
Simplify 23x
.
Tap for more steps...
2x3−12=13+56x
Simplify 56x
Step-by-step explanation:
For this case we must solve the following equation:
[tex]\frac {2} {3} x- \frac {1} {2} = \frac {1} {3} + \frac {5} {6} x[/tex]
Subtract [tex]\frac {5} {6} x[/tex] on both sides of the equation:
[tex]\frac {2} {3} x- \frac {5} {6} x- \frac {1} {2} = \frac {1} {3}[/tex]
We add [tex]\frac {1} {2}[/tex] to both sides of the equation:
[tex]\frac {2} {3} x- \frac {5} {6} x = \frac {1} {3} + \frac {1} {2}\\\frac {12-15} {18} x = \frac {2 + 3} {6}\\\frac {-3} {18} x = \frac {5} {6}\\- \frac {1} {6} x = \frac {5} {6}\\[/tex]
We multiply by 6 on both sides of the equation:
[tex]-x = 5[/tex]
We multiply by -1 on both sides of the equation:
[tex]x = -5[/tex]
Answer:
[tex]x = -5[/tex]
What are the solutions of the following?
2x2 + 26x + 80
Your answer:
{5,8}
{-5,-8}
{4,10}
{-4, -10}
Answer:
(-5, -8)
Step-by-step explanation:
The expression can be divided by 2 to give ...
x² +13x +40
The solutions to this will have a product of 40 and a sum of -13, the opposite of the x-coefficient. All of the offered choices have a product of 40, but only (-5, -8) has a sum of -13.
Ann took a taxi home from the airport. The taxi fare was
$
2
.
1
0
$2.10dollar sign, 2, point, 10 per mile, and she gave the driver a tip of
$
5
$5dollar sign, 5. Ann paid a total of
$
4
9
.
1
0
$49.10dollar sign, 49, point, 10.
Write an equation to determine the distance in miles
(
x
)
(x)left parenthesis, x, right parenthesis between the airport and Ann's home.
Find the distance between the airport and Ann's home.
miles
Answer:
20.9, rounded answer: 21 miles
Step-by-step explanation:
x= distance between the airport and Ann's home.
since Ann is paying $2.10 per mile let 2.10 be the coefficient
our equation:
5 is our constant since that's how much Ann trips the driver
since the total is equal to 49.10, that's what our equation will be equal to
2.10x+5=49.10
sub "5"
2.10x+5-5=49.10-5
2.10x=44
divide both sides by "2.10"
2.10/2.10x=44/2.10
x=20.9
we can round 20.9 to 21
I don’t know what the answer is I wish I could help
What is 1/8 divided by 6
Answer:
0.75 I think
Step-by-step explanation:
Two people are looking up at the Eiffel Tower. The people are 8 miles apart, and the Eiffel Tower is between them. The angle of elevation to the top of the Eiffel Tower is 12° for one person and 3° for the other. What is the approximate height of the Eiffel Tower?
the approximate height
Answer:b
Step-by-step explanation: I took the test
Input in standard form the equation of the given line.
The line through (0, -3) and (3, 0)
Answer:
x-y-3=0
Step-by-step explanation:
The slope of the line that passes through the points (0,-3) and (3,0) is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\ \\=\dfrac{0-(-3)}{3-0}\\ \\=\dfrac{3}{3}\\ \\=1[/tex]
The equation of the line is
[tex]y=m(x-x_1)+y_1\\ \\y=1\cdot (x-0)+(-3)\\ \\y=x-3\\ \\x-y-3=0[/tex]
If John Needed 1000 Muffins a week for him party and Each person Ate 100 Muffins out of it how many would be left?
Answer:
None will be left.
Step-by-step explanation:
John needed 1000 Muffins a week for his party
Each person ate 100 Muffins
So there were [tex]\frac{1000}{100}[/tex] = 10 people in the party and they ate all the Muffins.
No Muffins were left over.
identify the correct trigonometry formula do you use to solve for the given angle
The correct trigonometry formula [tex]tan^{-1}[/tex] (71°) . Therefore , [tex]tan^{-1}[/tex](71°) is correct .
The correct trigonometry formula to use to solve for the given angle is the tangent formula.
This is because you are given the side opposite to the angle (48) and the side adjacent to the angle (34), and you need to solve for the angle itself (71°).
The tangent formula is:
tan(angle) = opposite / adjacent
In this case, you would have:
[tex]tan^-1[/tex] = 48 / 34
[tex]tan^-1[/tex] = 0. 708333 degree
[tex]tan^-1[/tex] = 0.71 degree
[tex]tan^-1[/tex] (0.71)
= 35.3112 degree.
Therefore, the correct answer is tan(71°).
please help!!! ill mark you as brain!
given,
height of triangle(h)=3.5 in.
base of triangle (b)=4 in.
length of side of triangle(s)= 4 in.
length of prism(l)=9 in.
we have,
surface area of traingular prism( A)=bh+2ls+lb
=4×3.5+2×9×4+9×4
=14+72+36
=122 square inches
Answer:
They're right
Step-by-step explanation:
In Circle C below, is measured in radians
Which Expression can be used to find the area of the shaded sector
Answer:
Step-by-step explanation:
D is correct. The area of the whole circle is (360/360)πr^2. That of the unshaded sector is (theta/360)πr^2.
The expression which can be used to find the area of the shaded sector when the angle is measured in radians, is (θ/2)×r². Option A is correct.
What is the area of a circular sector?Area of the circular sector is the space occupied by it. The area of the circular sector is the half of the product of angle of the sector and the radius of the circle.
When the angle is measured in degree it be given as,
Area of sector=(θπr²)/360
Here, r is the radius of the circle and θ is the angle of the sector.
When the angle is measured in radian it be given as,
Area of sector=(θ/2)×r²
Here, r is the radius of the circle and θ is the angle of the sector.
Hence, the expression which can be used to find the area of the shaded sector when the angle is measured in radians, is (θ/2)×r². Option A is correct.
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Ginny gets out of school at
3:50 P.M. After her lunch period
ends, she spends 45 minutes
in math class, 60 minutes in
advanced creative writing, and
40 minutes in industrial arts. At
what time does her lunch period
end? Work backward to solve,
and then check your answer.
Thank you this is right
What is the standard form of this complex number (1+2i)/(1+I)
Answer: 3/2 + i/2
Step-by-step explanation: Simplify and write eht enaswer in standard form, a + bi.
Hope this helps! :) ~Zane
The Cinemania theater showed 108108108 different movies last year. Of those, 151515 movies were action movies.
Based on this data, what is a reasonable estimate of the probability that the next movie is an action movie?
Answer:
5/36 (I won't repeat it 3 times :-) )
Step-by-step explanation:
We just have to calculate the ratio of times an action movie played in the las year, that should be a good indication of the chances for an action movie to be played next, since the reference data is quite large. We're talking about a full year, no just a week or a month.
So, 15 action movies out of 108 movies...
The probability that next movie is an action movie is: 15 / 108 , or 5/36
That's roughly 1/7.
Answer:
15/108
Step-by-step explanation:
I did it and got it right.
Hope this helps:)
Given f(x)=4x^2-9 and g(x)=2x+3 find each value
Given f(x)=4x^2-9 and g(x)=2x+3 find each value
FIND EACH VALUE
1. (f+g)(x)
2. (f-g)(x)
3. (fg)(x)
4. f(g(3))
5. g(f(3))
Given,
f(x)=4x^2-9
g(x)=2x+3
1.
(f+g)(x)=f(x) + g(x)
=4x^2-9+2x+3
=4x^2+2x-6
2.
(f-g)(x)=f(x)-g(x)
4x^2-9-2x-3
=4x^2-2x-12
when x=3, then,
f(3)=4×(3)^2-9=27
g(3)=2×3+3=9
5.
f(g(3))=f(9)=4×(9)^2-9
=312
5.
g(f(3))=g(27)=2×27+3=57
Answer:
listen to romap they are correct
Step-by-step explanation: