Which action can be taken to the expression in Step 3 to give an expression for Step 4?

divide both the numerator and denominator by sin(x)sin(y)
divide both the numerator and denominator by sin(x)cos(y)
divide both the numerator and denominator by cos(x)sin(y)
divide both the numerator and denominator by cos(x)cos(y)

Answer:

both sides should be divided by 4.5

Step-by-step explanation:

the equation is 4.5x = 264.5564

divide by 4.5 and 4.5 and 4.5 cancel each other out leaving x

x will be equal to 58.7903111 or 58.8

Hope this helps ^-^

Answer:

please give complete question .

Answer:

6. y = 76

x,z = 180 - 76 = 104

7.

2x = 74

x = 74 ÷ 2 = 37

Given:

The triangle is ABC

Vertices of ABC is

Find-:

The vertex after 4 units down

Explanation-:

The triangle is down, which means changing the coordinates of the y-axis

The y axis reduce by 4 units, then coordinates is

The B' is

The C' is

So, the new coordinates are

Answer:50

Step-by-step explanation:

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

Answer:

7/8

Step-by-step explanation:

Using the binomial distribution, it is found that there is a \(\frac{7}{8}\) probability that at least one of the coins comes up heads.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that at least one of the coins comes up heads is given by:

\(P(X \geq 1) = 1 - P(X = 0)\)

In which:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{3,0}.\left(\frac{1}{2}\right)^{0}.\left(\frac{1}{2}\right)^{3} = \frac{1}{8}\)

Then:

\(P(X \geq 1) = 1 - P(X = 0) = \frac{8}{8} - \frac{1}{8} = \frac{7}{8}\)

\(\frac{7}{8}\) probability that at least one of the coins comes up heads.

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Answer:

13 cents.

Explanation:

Divide 1.30 by 10 to find your answer.

1.30/10 = 0.13.

James paid 0.13 for each pencil.

Hope this is correct, have a great day.

Answer:

Step-by-step explanation:

Comment

An x intercept occurs when y = 0. So the table shows three of them.

Answer

There are 3 x values when y = 0. They are

Answer: A. \((-1, 0)\)

Step-by-step explanation:

The x-intercept is every point where y=0. To see this, we should look at the table's f(x) section to find any zeroes.

According to the table and this knowledge, one x-intercept of this continuous function is \((-1, 0)\).

I hope this helps! Pls mark brainliest!! :)

Answer: \(5\sqrt 5\)

Step-by-step explanation:

Sol \(\sqrt 125\) = \(\sqrt{25.5}\)

= \(\sqrt{25}\)  x  \(\sqrt{5}\)

\(5 \sqrt{5}\)

Answer:

C - 3/4

Step-by-step explanation:

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Answer: 1

Step-by-step explanation:

Let's look at two points on this line (0, 1), and (1, 2)

Using the slope formula (\(\frac{(y_2-y_1)}{(x_2-x_1)}\))

\(\frac{(2-1)}{(1-0)} =\frac{1}{1}=1\)

Hope it helps :)

Answer:

bro be more specific plssssaass

The distance between the two points is

d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².

Distance between two points is the length of the line segment that connects the two points in a plane.

The distance between two points is expressed as;

d = √ (X-x )² + (Y-y)²

X = -2

x = x

Y = 3

y = y

Therefore the distance between the two points is

d = √( -2-x)² + (3 -y)²

or it can also be written in this form

d = √ x-(-2)² + (y-3)²

d = √ x+2)² + (y-3)²

therefore the model of the distance between the two points can be

d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².

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Answer:

A) The height of the trapezoid is 6.5 centimeters.

B) We used an algebraic approach to to solve the formula for \(b_{1}\).  \(b_{1} = \frac{2\cdot A}{h}-b_{2}\)

C) The length of the other base of the trapezoid is 20 centimeters.

D) We can find their lengths as both have the same length and number of variable is reduced to one, from \(b_{1}\) and \(b_{2}\) to \(b\). \(b = \frac{A}{h}\)

Step-by-step explanation:

A) The formula for the area of a trapezoid is:

\(A = \frac{1}{2}\cdot h \cdot (b_{1}+b_{2})\) (Eq. 1)

Where:

\(h\) - Height of the trapezoid, measured in centimeters.

\(b_{1}\), \(b_{2}\) - Lengths fo the bases, measured in centimeters.

\(A\) - Area of the trapezoid, measured in square centimeters.

We proceed to clear the height of the trapezoid:

1) \(A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})\) Given.

2) \(A = 2^{-1}\cdot h \cdot (b_{1}+b_{2})\) Definition of division.

3) \(2\cdot A\cdot (b_{1}+b_{2})^{-1} = (2\cdot 2^{-1})\cdot h\cdot [(b_{1}+b_{2})\cdot (b_{1}+b_{2})^{-1}]\) Compatibility with multiplication/Commutative and associative properties.

4) \(h = \frac{2\cdot A}{b_{1}+b_{2}}\) Existence of multiplicative inverse/Modulative property/Definition of division/Result

If we know that \(A = 91\,cm^{2}\), \(b_{1} = 16\,cm\) and \(b_{2} = 12\,cm\), then height of the trapezoid is:

\(h = \frac{2\cdot (91\,cm^{2})}{16\,cm+12\,cm}\)

\(h = 6.5\,cm\)

The height of the trapezoid is 6.5 centimeters.

B) We should follow this procedure to solve the formula for \(b_{1}\):

1) \(A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})\) Given.

2) \(A = 2^{-1}\cdot h \cdot (b_{1}+b_{2})\) Definition of division.

3) \(2\cdot A \cdot h^{-1} = (2\cdot 2^{-1})\cdot (h\cdot h^{-1})\cdot (b_{1}+b_{2})\) Compatibility with multiplication/Commutative and associative properties.

4) \(2\cdot A \cdot h^{-1} = b_{1}+b_{2}\) Existence of multiplicative inverse/Modulative property

5) \(\frac{2\cdot A}{h} +(-b_{2}) = [b_{2}+(-b_{2})] +b_{1}\) Definition of division/Compatibility with addition/Commutative and associative properties

6) \(b_{1} = \frac{2\cdot A}{h}-b_{2}\) Existence of additive inverse/Definition of subtraction/Modulative property/Result.

We used an algebraic approach to to solve the formula for \(b_{1}\).

C) We can use the result found in B) to determine the length of the remaining base of the trapezoid: (\(A= 215\,cm^{2}\), \(h = 8.6\,cm\) and \(b_{2} = 30\,cm\))

\(b_{1} = \frac{2\cdot (215\,cm^{2})}{8.6\,cm} - 30\,cm\)

\(b_{1} = 20\,cm\)

The length of the other base of the trapezoid is 20 centimeters.

D) Yes, we can find their lengths as both have the same length and number of variable is reduced to one, from \(b_{1}\) and \(b_{2}\) to \(b\). Now we present the procedure to clear \(b\) below:

1) \(A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})\) Given.

2) \(b_{1} = b_{2}\) Given.

3) \(A = \frac{1}{2}\cdot h \cdot (2\cdot b)\) 2) in 1)

4) \(A = 2^{-1}\cdot h\cdot (2\cdot b)\) Definition of division.

5) \(A\cdot h^{-1} = (2\cdot 2^{-1})\cdot (h\cdot h^{-1})\cdot b\) Commutative and associative properties/Compatibility with multiplication.

6) \(b = A \cdot h^{-1}\) Existence of multiplicative inverse/Modulative property.

7) \(b = \frac{A}{h}\) Definition of division/Result.

Answer:

0,4

Step-by-step explanation:

4/15 : 2/3 = 4/15 × 3/2 = 2/5 × 1 = 0,4

Answer:

I don't think it's 57 or right

Step-by-step explanation:

56.28 is the awnser to 10.05x5.6

Answer:

Step-by-step explanation:

3p + 2p - p

= 3p + p

= 4p

(add the co-efficients)

Answer:

True

Step-by-step explanation:

15/7 is about 2.14 which is less than 3

Answer:

=======================

Equation of circle:

The center is the radius long distance from the x- axis to left and y-axis up same distance, this makes it in the second quadrant.

So the coordinates of the center are:

The equation is:

Answer:

\((x+8)^2+(y-8)^2=64\)

Step-by-step explanation:

Required conditions:

If the circle is tangent to both axes, its center will be the same distance from both axes.  That distance is its radius.

If the center of the circle is in quadrant II, the center will have a negative x-value and a positive y-value → (-x, y).

Therefore, the coordinates of the center will be (0-r, 0+r) where r is the radius.

If the radius is 8 units, then the center is (-8, 8).

\(\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-a)^2+(y-b)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(a, b)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Substitute the found center and given radius into the formula to create an equation for the circle that satisfies the given conditions:

\(\implies (x-(-8))^2+(y-8)^2=8^2\)

\(\implies (x+8)^2+(y-8)^2=64\)

Answer:

What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.

Graph of linear function

Graph of linear function

A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.

A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.

Examples of linear functions include:

If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.

Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.

If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.

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Exponential Functions

What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.

Graphs of exponential functions

Graphs of exponential functions

An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.

An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.

Examples of exponential functions include:

Step-by-step explanation:

Answer:

30 = 6

45 = x

cross multiply

30x = 45*6

30x = 270

divide both sides by

30x/30 = 270/30

X = 9

9-6 = 3 days

Answer:

1) 3

2) 5/4

3) 5/9

Step-by-step explanation:

1) Change the sign to multiplication and change 1/4 into it's reciprocal which is 4/1. Multiply 3/4 · 4/1 to get 12/4.

Simplifies to 3

2) Change the sign to multiplication and find the reciprocal of 1/2 which is 2/1. Multiply 5/8 · 2/1 to get 10/8

Simplifies to 5/4

3) First, change the sign to multiplication then find the reciprocal of 3/4 which is 4/3. Multiply 5/12 · 4/3 to get 20/36.

Simplifies to 5/9

Answer:

18

Step-by-step explanation:

6x3=18

(hope this helps can i plz have brainlist :D hehe)

Answer:

18

Step-by-step explanation:

lol....................

Answer:

9cm

Step-by-step explanation:if im wrong sorry

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

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