Answer:
the answer will be b that should be the answer
Of 56 people watching a soccer game, 21 are rooting for the away team. Which of the following is the fraction of people rooting for the away team?
Answer: 3/8
Step-by-step explanation: 21/56 reduced to 3/8
For each menu item at a fast food restaurant, the fat content (in grams) and the
number of calories were recorded. A scatterplot of these data is given:
Sparta
The restaurant decides to add six new high-calorie, low-fat pasta dishes to its menu.
What is a plausible value for the new correlation coefficient describing the
relationship between fat and calories?
Oa) 0.7
Ob) 10.7
C) 0.2
d) 0.2
Answer:
The answer is "Option a".
Step-by-step explanation:
please find the attached file.
In the given question, the positive correlation shows the scatterplot and, by adding six now higher calories, low-fat pasta, is the positive value for the new correlation of the coefficient will be decreasing.
In this question, the points are more close to the line and increasing from left to right, which can be mostly like, that's why the choice "a" is correct.
7\18% of a quantity is equal to __ of the quantity
Answer: 38.888888888889%
Step-by-step explanation:
I converted into a decimal after converting the fraction to a percentage
Which resources provides an opportunity to evaluate your readiness for a major assessment?
A. Reflection
B. Teacher tutorial
C. Illustrated glossary
D. Virtual Geoboard
The radius of the circle has a length of units.
Answer: 10 units
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
Edg 2021
Which of the following is equal to tan(A)?
Answer: cot B
Step-by-step explanation: if i am right mark me as brainliest
Flora drew the following graph to answer the question. What was her mistake when she drew her graph? (NO LINKS)
Answer:
Her elevation went down too quickly, if she is going down 300 ft per hour at a constant rate, at 1 hour, she should be at 2700 feet. It should take her about 10 hours to get down the mountain.
Consider the following series. [infinity] Σn = 1 4^(n + 1) 5^−n. Determine whether the geometric series is convergent or divergent. Justify your answer. O Converges; the series is a constant multiple of a geometric series. O Converges; the limit of the terms, an, is 0 as n goes to infinity. O Diverges; the limit of the terms, an, is not o as n goes to infinity. O Diverges; the series is a constant multiple of the harmonic series.
Converges; the series is a constant multiple of a geometric series. Option A
The given series can be written as:
\(\sum n=1 to \infty 4^{(n+1)} * 5^{(-n)\)
= \(4 * \sum n=1 to \infty (4/5)^n\)
This is a geometric series with first term a=4 and common ratio r=4/5. The series converges if and only if |r| < 1. Here, |r| = 4/5 < 1, so the series converges.
The sum of a convergent geometric series with first term a and common ratio r is given by:
sum = a / (1 - r)
Applying this formula, we get:
sum = 4 / (1 - 4/5) = 4 * 5 = 20
Therefore, the given series converges to 20.
The correct answer is option (a) Converges; the series is a constant multiple of a geometric series.
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GEOMETRY:
Find an equation for the perpendicular bisector of the line segment whose endpoints are (9,-8) and (−1,−4).
Answer:
The equation is;
2y = 5x-32
Step-by-step explanation:
Firstly, we find the mid-point segment
we can use the midpoint segment formula for this
Mathematically, we have this as:
(x,y) = (x1 + x2)/2, (y1 + y2)/2
(x,y) = (9-1)/2, (-8-4)/2
= (4,-6)
Let us find the slope of the given line segment
Mathematically, that will be;
m = (y2-y1)/(x2-x1) = (-4 + 8)/(-1-9) = 4/-10 = -2/5
Now, if two lines are perpendicular, the products of their slopes is equal to -1
so;
m1 * m2 = -1
-2/5 * m2 = -1
m2 = (-1 * 5)/-2
m2 = -5/-2 = 5/2
Since the perpendicular bisector is expected to pass through the midpoint,
we have the equation as slope 5/2 and point (4,-6)
so we use the point-slope equation form
That will be;
y-y1 = m(x-x1)
y+ 6 = 5/2(x-4)
2y + 12 = 5x - 20
2y = 5x -20-12
2y = 5x - 32
y=-2 what is the slope
Answer:
Slope = 0
Step-by-step explanation:
This is a HORIZONTAL line ....horizontal lines have slope = 0
VERTICAL lines like x =2 have UNDEFINED slope.
Answer:
m = 0
Step-by-step explanation:
This type of linear equation would be a horizontal line when graphed meaning that the slope would equal zero.
So in the equation y = -2, the slope is missing as the ' mx ' because it is horizontal.
will the sampling distribution of x always be approximately normally distributed? Explain. Choose the correct answer below 0 ?. Yes, because the Central Limit Theorem states that the sampling distribution of x is always approximately normally distributed O B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough O C. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the population being sampled is normally distributed O D No, because the Central Limit Theorem states that the sampling d bution of x is approximately no aly distribui d only i the sa le sae is mere than 5% of the population.
B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.
The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.
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assume the point (10,20) belongs to the graph of f of x what point belongs to the graph of y equals f (x )minus 5
assume the point (10,20) belongs to the graph of f of x what point belongs to the graph of y equals f (x )minus 5
In this problem we have a transformation with the dollowing rule
(x,y) ------> (x,y-5)
so
(10,20) --------> (10, 20-5)
(10,20) --------> (10, 15)
therefore
The answer is
(10, 15)
What is the perimeter for the top part of the juice box?
A. 16.4cm
B. 16cm
C. 17cm
D. 16.65cm
Answer: A [16.4 cm]
Step-by-step explanation:
add 4.5 times 2 + 3.7 times 2
Use matrices (A, B, C), and D. .Perform each operation.
C(DB)
A = [3 1 5 7]
B = [4 6 1 0]
C = [-5 3 1 9 ] D = [1.5 2 9 -6]
The result of the operation C(DB) is 333.5.
To perform the operation C(DB), we first need to multiply matrix D by matrix B, and then multiply the result by matrix C.
Given the matrices:
A = [3 1 5 7]
B = [4 6 1 0]
C = [-5 3 1 9]
D = [1.5 2 9 -6]
First, we multiply D by B:
DB = [1.5 2 9 -6] * [4 6 1 0]
Multiplying the corresponding elements and summing the products, we get:
DB = [1.5*4 + 2*1 + 9*1 + (-6)*0, 1.5*6 + 2*0 + 9*3 + (-6)*1, 1.5*1 + 2*1 + 9*1 + (-6)*9, 1.5*0 + 2*0 + 9*0 + (-6)*(-6)]
Simplifying the above expression, we get:
DB = [6 + 2 + 9*1, 9*6 - 1*6, 1.5 + 2 - 6*9, 0 + 0 + 0 + 36]
DB = [17, 48, -49.5, 36]
Now, we multiply the result DB by matrix C:
C(DB) = [-5 3 1 9] * [17, 48, -49.5, 36]
Multiplying the corresponding elements and summing the products, we get:
C(DB) = [-5*17 + 3*48 + 1*(-49.5) + 9*36]
Simplifying the above expression, we get:
C(DB) = [-85 + 144 + (-49.5) + 324]
C(DB) = 333.5
Thus, the result of the operation C(DB) is 333.5.
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Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
xy = 6
(a) Find dy/dt, given x = 4 and dx/dt = 11.
dy/dt =
(b) Find dx/dt, given x = 1 and dy/dt = –9.
dx/dt =
Answer:
A)
\(\displaystyle \frac{dy}{dt}=-\frac{33}{8}\)
B)
\(\displaystyle \frac{dx}{dt}=\frac{3}{2}\)
Step-by-step explanation:
x and y are differentiable functions of t, and we are given the equation:
\(xy=6\)
First, let's differentiate both sides of the equation with respect to t. So:
\(\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6]\)
By the Product Rule and rewriting:
\(\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0\)
Therefore:
\(\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0\)
A)
We want to find dy/dt when x = 4 and dx/dt = 11.
Using our original equation, find y when x = 4:
\(\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}\)
Therefore:
\(\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0\)
Solve for dy/dt:
\(\displaystyle \frac{dy}{dt}=-\frac{33}{8}\)
B)
We want to find dx/dt when x = 1 and dy/dt = -9.
Again, using our original equation, find y when x = 1:
\((1)y=6\Rightarrow y=6\)
Therefore:
\(\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0\)
Solve for dx/dt:
\(\displaystyle \frac{dx}{dt}=\frac{3}{2}\)
Which of the following is most likely the next step in the series?
Answer:
D
Step-by-step explanation:
cus if you count the sides its 6 to 5 to 4 next is 3
Answer:
D
Step-by-step explanation:
6 sides -> 5 sides -> 4 sides -> 3 sides
Triangle has three sides so D.
a four pack of 42 ounce ink cartridges sells for $85.99. The expression 42c represents the amount of ink in a number of cartridges. What does the variable c represent?
Simplify this expression 4x^2y^3 x 2x^3y^4
Answer:
8 x^5 y^7
Step-by-step explanation:
Simplify the following:
4×2 x^2 y^3 x^3 y^4
Hint: | Combine products of like terms.
4 x^2 y^3×2 x^3 y^4 = 4 x^(2 + 3) y^(3 + 4)×2:
4×2 x^(2 + 3) y^(3 + 4)
Hint: | Evaluate 3 + 4.
3 + 4 = 7:
4×2 x^(2 + 3) y^7
Hint: | Evaluate 2 + 3.
2 + 3 = 5:
4×2 x^5 y^7
Hint: | Multiply 4 and 2 together.
4×2 = 8:
Answer: 8 x^5 y^7
canbon-14 is used to determite the age of artificats in carbon sating. it has a half-life of 5730 years. write the exponential decay function for a 24-mg sample. find the amount of carbon-14 remaining after 20 millennia
The amount of carbon-14 remaining after 20 millennia is 0.912 mg.
The exponential decay function for a 24-mg sample of carbon-14 can be represented by the equation:
y = 24e^(-kt)
where:
y is the amount of carbon-14 remaining
e is the base of the natural logarithm
k is the decay constant, calculated by dividing the natural logarithm of 2 by the half-life of carbon-14 (5730 years)
t is the time elapsed
So, k = ln(2)/5730
To find the amount of carbon-14 remaining after 20 millennia (20,000 years), we can plug in the values:
t = 20,000 years
y = 24e^(-k * 20,000)
Substituting the value of k:
y = 24e^(-ln(2)/5730 * 20,000)
y = 24 * e^(-0.000011 * 20,000)
y = 24 * 0.038
y = 0.912 mg
So, the amount of carbon-14 remaining after 20 millennia is 0.912 mg.
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45h + 1895 = 5000
What is the value of H
Answer:
69
Step-by-step explanation:
45*69+1895=5000
Answer:
h = 69
Step-by-step explanation:
45h + 1895 = 5000 ( subtract 1895 from both sides )
45h = 3105 ( divide both sides by 45 )
h = 69
What is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base
diameter of 18 feet? Round to the nearest tenths place
Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 18 so the radius is 1/2 d = 1/2(18) = 9
V = pi (9)^2 (8)
V =648 pi
Letting pi = 3.14
V = 648(3.14)
V =2034.72
Rounding to the tenths place
V =2034.7 ft^3
If you use the pi button
V = 2035.75204
Rounding to the tenths place
V =2035.8
Given that x^2 - y^2 = 45 and x + y = 9, find the values of x and y.
Answer:
x = 7
y = 2
Step-by-step explanation:
x² - y² = 45
(x+y) (x-y) = 45
x + y = 9 (known)
9 x (x-y) = 45
x - y = 5
y = x-5
x + (x - 5) = 9 (substitute)
2x = 14
x = 7
y = 2
Will give brainliest What goes on the blank?
A ?
B?
C?
D?
E?
F?
can somebody help me please?
Answer:
A figure with 4 congruent sides is a quadrilateral.A linear pair has two right angles.A single line can have conplanar points on it.please help with all of 1
1.) A.) f(x) = cos(x) = sin (x) C.)f(x) = e*- ex E.) f(x) = sin²(x) + 3cos² (x) Find the following derivatives [8K] B.) f(x) = -cos(x² + x) D.)f(x) = √x F.) f(x) = cos(x)2x
A.) The derivative of f(x) = cos(x) - sin(x) is f'(x) = -sin(x) - cos(x).
B.) The derivative of f(x) = -cos(x^2 + x) is f'(x) = 2xsin(x^2 + x) + sin(x^2 + x).
C.) The derivative of f(x) = e^(-ex) is f'(x) = -e^(-ex)(1 + ex).
D.) The derivative of f(x) = sqrt(x) is f'(x) = 1 / (2sqrt(x)).
E.) The derivative of f(x) = sin^2(x) + 3cos^2(x) is f'(x) = 2sin(x)cos(x) - 6cos(x)sin(x) = -4sin(x)cos(x).
F.) The derivative of f(x) = cos(x)^(2x) involves more complex calculus techniques and cannot be expressed with a simple formula.
A.) For the function f(x) = cos(x) - sin(x), we use the derivatives of basic trigonometric functions. The derivative of cos(x) is -sin(x), and the derivative of sin(x) is cos(x). So, the derivative of f(x) is obtained by subtracting the derivative of sin(x) from the derivative of cos(x).
B.) To find the derivative of f(x) = -cos(x^2 + x), we apply the chain rule. The derivative of -cos(u) is sin(u) times the derivative of the inner function. In this case, the inner function is x^2 + x. So, we differentiate the inner function, which gives us 2x + 1, and multiply it by sin(x^2 + x).
C.) For the function f(x) = e^(-ex), we use the chain rule. The derivative of e^u is e^u times the derivative of the inner function. In this case, the inner function is -ex. So, we differentiate the inner function, which gives us -e^x, and multiply it by e^(-ex).
D.) The derivative of f(x) = sqrt(x) can be found using the power rule for differentiation. The power rule states that if f(x) = x^n, then f'(x) = nx^(n-1). Applying this rule, we have f(x) = x^(1/2), so f'(x) = (1/2)x^(-1/2) = 1 / (2sqrt(x)).
E.) To find the derivative of f(x) = sin^2(x) + 3cos^2(x), we apply the chain rule and the derivative rules for trigonometric functions. The derivative of sin^2(x) is 2sin(x)cos(x), and the derivative of cos^2(x) is -2sin(x)cos(x). Thus, the derivative of f(x) is obtained by subtracting 2sin(x)cos(x) from 3*(-2sin(x)cos(x)), resulting in -4sin(x)cos(x).
F.) The derivative of f(x) = cos(x)^(2x) involves more complex calculus techniques, specifically logarithmic differentiation or implicit differentiation. It cannot be expressed with a simple formula due to the combination of exponential and trigonometric functions raised to a variable exponent.
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A.) The derivative of f(x) = cos(x) - sin(x) is f'(x) = -sin(x) - cos(x).
B.) The derivative of f(x) = -cos(x^2 + x) is f'(x) = 2xsin(x^2 + x) + sin(x^2 + x).
C.) The derivative of f(x) = e^(-ex) is f'(x) = -e^(-ex)(1 + ex).
D.) The derivative of f(x) = sqrt(x) is f'(x) = 1 / (2sqrt(x)).
E.) The derivative of f(x) = sin^2(x) + 3cos^2(x) is f'(x) = 2sin(x)cos(x) - 6cos(x)sin(x) = -4sin(x)cos(x).
F.) The derivative of f(x) = cos(x)^(2x) involves more complex calculus techniques and cannot be expressed with a simple formula.
A.) For the function f(x) = cos(x) - sin(x), we use the derivatives of basic trigonometric functions. The derivative of cos(x) is -sin(x), and the derivative of sin(x) is cos(x). So, the derivative of f(x) is obtained by subtracting the derivative of sin(x) from the derivative of cos(x).
B.) To find the derivative of f(x) = -cos(x^2 + x), we apply the chain rule. The derivative of -cos(u) is sin(u) times the derivative of the inner function. In this case, the inner function is x^2 + x. So, we differentiate the inner function, which gives us 2x + 1, and multiply it by sin(x^2 + x).
C.) For the function f(x) = e^(-ex), we use the chain rule. The derivative of e^u is e^u times the derivative of the inner function. In this case, the inner function is -ex. So, we differentiate the inner function, which gives us -e^x, and multiply it by e^(-ex).
D.) The derivative of f(x) = sqrt(x) can be found using the power rule for differentiation. The power rule states that if f(x) = x^n, then f'(x) = nx^(n-1). Applying this rule, we have f(x) = x^(1/2), so f'(x) = (1/2)x^(-1/2) = 1 / (2sqrt(x)).
E.) To find the derivative of f(x) = sin^2(x) + 3cos^2(x), we apply the chain rule and the derivative rules for trigonometric functions. The derivative of sin^2(x) is 2sin(x)cos(x), and the derivative of cos^2(x) is -2sin(x)cos(x). Thus, the derivative of f(x) is obtained by subtracting 2sin(x)cos(x) from 3*(-2sin(x)cos(x)), resulting in -4sin(x)cos(x).
F.) The derivative of f(x) = cos(x)^(2x) involves more complex calculus techniques, specifically logarithmic differentiation or implicit differentiation. It cannot be expressed with a simple formula due to the combination of exponential and trigonometric functions raised to a variable exponent.
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△ABC is similar to both △ACD and △CBD.∙∣∣AC∣∣2+∣∣BC∣∣2=∣∣A B∣∣2
Explain why these claims are correct or incorrect. Provide valid mathematical reasoning to support your responses.
△ABC is cοngruent tο bοth △ACD and △CBD.
What is triangle?Geοmetry depends οn shapes like squares, circles, rectangles, triangles, and οthers. Amοng all the fοrms we have here, triangles seem tο be the mοst intriguing and distinctive. The triangle's shape is created by the intersectiοn οf three lines and three angles.
△ABC is a right triangle, right angled at C.
CD is altitude drawn tο hypοthesis AB.
Tο prοve, △ACD ~ △CBD
In △ACD and △CBD.
∠ACB= ∠ADC=90°
∠CAB=∠DAC (Cοmmοn angle)
By AA similarity we can say that, △ACD and △CBD.
Anοther side,
Need tο prοοf ∣AC∣²+∣BC∣²=∣A B∣²
If is a right triangle at C with a prοjectiοn tο as shοwn, then
BC²=BD*AB
AC²= AD*AB
A further beneficial cοnclusiοn can be demοnstrated by cοmbining the Pythagοrean and Euclidean theοrems. The Pythagοrean Theοrem prοvides us with
CD²= BC²-BD²
By putting the value οf BC²,
CD²= BD*AB-BD²
OR, CD²= BD*(AB-BD)
OR, CD²= BD*AD
AB²= (AD*AB)+(BD*AB)
Or, AB(AD+BD)=AB²
Or, AB²=AB²
Or, ∣AC∣²+∣BC∣²=∣A B∣² (prοved)
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A student weighs out 0. 0422 g of magnesium metal. The magnesium metal is reacted with excess hydrochloric acid to produce hydrogen gas. A sample of hydrogen gas is collected over water in a eudiometer at 32. 0°c. The volume of collected gas is 43. 9 ml and the atmospheric pressure is 832 mmhg. Using the experimentally collected data, calculate r and the percent error.
The value of r = 9.078.
What is ideal gas law?pv = nrt. The factor “r” in the ideal gas law equation is known as the “gas constant”. r = \(\frac{pv}{nt}\). The pressure times the volume of a gas divided by the number of moles and temperature of the gas is always equal to a constant number.
so the student weights out .0422 grams of the magnesium metal so from here we can calculate that more's, the magnesium that he used, that is the mass of the magnesium over the more mass, which is .024422 over 24 point. That's equal to about .001758. More so also, it says the magnesium metal is react with excessive hydrochloric acid and produce hydrogen gas. A sample of the hydrogen gas is collected over water in a meter at 22 cecr, the volume of clictic gas is 43.9 and mastic pressure. Is that so using the experimental and collected data calculated are in the percent error? So we know the magnesium react with hydrochloride. The reaction ratio is 1 to 2 and we produce 1. More is the hydrogen and 1. More is magnesium chloride. So from this equatium we know that more of the hydrogen that would be produced in this case is equal to the mass of the magnesium here, that's his .001758 more and set way. There's among hydrogen. The temperature is 32 (degree celcius) which we need to convert the unit into kelvin, so it's actually about field 5.15 kelvin and tells you. The volume of the gas is 43.9 in ml, which is .0439 liter and tells you the pressure of the gas is about 832 millimeter. Mercury, which is a 2 times 13332 plus ca, that's equal to about 110922.24 par. So in this case we know p v = n r t.
r = \(\frac{pv}{nt}\)
So p = 110922.24. V = 0.0439 , n = 0.001758 t = 305.15. So let's just do the calculations here.
In this case you will find r=?
Here it's about 9.078.
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a library has 2500 books.40% of the books are fiction.How many books are not fiction books
A library has 2500 books.40% of the books are fiction, number of not fiction books are 1500.
A percentage is a relative figure that represents one tenth of a quantity. Since one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.
Total amount of book in library are 2500 ,
Out of that 40% are fiction so the number of the non fiction books are 60%
so 60% of 2500 will give us the value of non fiction books,
Number of non fiction = 2500 x 60%
= 2500 x 60/100
= 25 x 60
= 1500
Therefore, Number of non fiction books are 1500.
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If TGS = KEL, which angle in KEL corresponds to T?
Hello.
If ΔTGS ≅ ΔKEL, then angle ∠T ≅ ∠K because:
∠T ≅ ∠K
∠G ≅ ∠E
∠S ≅ ∠L
Answer:
Then it is K
But you aren't giving me a lot of information
to work with here, so I answered it the best I know-how.
Step-by-step explanation:
:) Hope you enjoy it :)
Page No.
Date :
One of the pair of complementary
angle is 30°. find the next angle and
find the ratio of these pair of complemtary
angles as well
Answer:
The other angle is 60°
Their ratio is 1 : 2
Step-by-step explanation:
Let us revise some special angles
A pair of complementary angles is two angles their sum is 90°
A pair of supplementary angles is two angles their sum is 180°
In the question
∵ One angle of the pair of complementary angle = 30°
∵ The sum of the two complementary angles = 90°
→ Subtract 30° from 90° to find the other angle
∴ The other angle = 90° - 30° = 60°
∴ The other angle is 60°
To find the ratio of them put them in the form of the ratio, then simplify the ratio to its simplest form
∵ Their ratio = 30 : 60
→ Divide both sides by 10
∴ Their ratio = 3 : 6
→ Divide both sides by 3
∴ Their ratio = 1 : 2
∴ Their ratio is 1 : 2