what is the greatest common factor of 28 and 91

Angle L's in the triangle LMN is,

⇒ L = 72.54°

We have to given that;

A triangle LMN is shown in figure.

And, The sides are,

Since, We know that;

A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.

Since, We know that;

⇒ sin L = Opposite / Hypotenuse

And, cos L = Base / Hypotenuse

Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.

Now, We can use trigonometry formula to find the value of angle l we get;

⇒ sin L = Opposite / Hypotenuse

⇒ sin L = LM / LN

⇒ sin L = 18/60

Taking arc sin both side, we get;

⇒ L = 72.54°

Therefore, The value of measure of angle L is triangle LMN is,

⇒ L = 72.54°

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Answer:

C. 1/16

Step-by-step explanation:

\(16 * 4^{-4}\)

16 can be written as a power of 4.

\(4^2 * 4^{-4}\)

The bases are same, add exponents.

\(4^{2+-4}\)

\(4^{-2}\)

Simplify negative exponent.

\(\frac{1}{4^2 }\)

\(\frac{1}{16}\)

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

b. Normal data is never one of the inference assumptions.

Step-by-step explanation:

A categorical data specifies among two or more groups, which one each observation belongs to, and one or more explanatory variables that can be used to predict this membership.

So, there are two propositions in statistical inference for categorical data

1. That each data in a cell is independent of the others.

2. That samples are randomly drawn.

Thus, there is no room for normality.

The solutions of the equation given as (2x - 4)(x + 5) = 0 are x = 2 or x = -5

Equations are mathematical expressions that have the same value when compared

From the question, we have the following equation that can be used in our computation:

(2x - 4)(x + 5) = 0

To start with:

We start by splitting the equation

So, we have the following representation

(2x - 4) = 0 or (x + 5) = 0

Next, we remove the brackets

So, we have the following representation

2x - 4 = 0 or x + 5 = 0

Next, we isolate the variables

This is done as follows

2x = 4 or x = -5

Divide both sides by the coefficient of the variable

This gives

x = 2 or x = -5

Hence, the solutions to the equation are x = 2 or x = -5

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Answer:

\(\displaystyle \sin(\theta)= \frac{\sqrt{17}}{17}\)

\(\displaystyle \cos(\theta)= \frac{4 \sqrt {17} }{ 17 }\)

Step-by-step explanation:

We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.

First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.

Recall that tangent is the ratio of the opposite side to the adjacent side.

Therefore, the hypotenuse is:

\(h=\sqrt{4^2+1^2}=\sqrt{16+1}=\sqrt{17}\)

So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.

Then it follows that:

\(\displaystyle \sin(\theta)=\frac{1}{\sqrt{17}} = \frac{\sqrt{17}}{17}\)

And that:

\(\displaystyle \cos(\theta)= \frac{4}{\sqrt{17}} = \frac{4 \sqrt {17} }{ 17 }\)

Answer:

what trapezoid? please provide the trapezoid so I can help you

The ratio of blue paint to the total paint in the mixture is 5:8.

Given:

In the figure, there are 10 blocks of blue paint and 6 blocks of red paint.

Total paint in the mixture = 10+6 = 16

Ratio of blue paint to total paint = 10/16 = 5/8

Therefore, the required ratio is 5:8.

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Answer:

\(\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1}, \\\\GI=5.0\)

Step-by-step explanation:

In any right triangle, the following is true:

The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)

The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)

Thus,

\(\text{3. }\\\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1},\)

\(\text{4. }\tan 68^{\circ}=\frac{GI}{2},\\GI=2\tan68^{\circ}=4.95017370683\approx \boxed{5.0}\)

Answer: 3^3 Square root 3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

No. Of Batches of muffins = 5

Each batch = 2/3 Bag walnuts

Bags of Walnut he uses = 5 * 2/3

= 10/3 bags or 3 1/3 bags

P.S I wonder if he's making Milo Walnut muffins yum :')

Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.

One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.

Using a calculator, we can find the sine of 98 degrees as follows:

sin 98° ≈ 0.9848

Rounding this to four decimal places, we get:

sin 98° ≈ 0.9848

Therefore, sin 98° is approximately equal to 0.9848.

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Answer: true

Step-by-step explanation:

Answer:

2=x

Step-by-step explanation:

34 = -2 + 9x + 16 + x

+2     +2             add to both sides

36=9x+16+x

36=10x+ 16        simplify

-16        -16         subtract from both sides

20=10x      

/10  /10               divide on both sides

2=x

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Answer: 1/3, "I THINK"

Step-by-step explanation: You already had your cursor on it lol, Sorry if im wrong.

Answer:

(a) The power reaches its maximum at 14:00, or 02:00 pm

(b) The maximum power drawn by the household is 1.83 KW.

Step-by-step explanation:

Extreme points of real functions

Given a real function f(x), we can find the possible maximum or minimum points by computing the first derivative of f, f'(x), and equating it to zero.

The solutions of the resulting equation are the critical points of the function f.

The given function is

\(p(t)=-0.007t^2+0.2t+0.4\)

Where t is the number of hours after midnight and p(t) is the power in kilowatts.

Calculate the first derivative and equate to 0:

\(p'(t)=-0.014t+0.2=0\)

Solve for t:

\(-0.014t=-0.2\)

\(t = -0.2 / (-0.014) = 14.29\)

\(t\approx 14\ hours\)

(a) The power reaches its maximum at 14:00, or 02:00 pm

To find the maximum value, we use the value of t:

\(p(14)=-0.007\cdot 14^2+0.2*14+0.4\)

\(p(14)=1.828\)

(b) The maximum power drawn by the household is 1.83 KW.

Step-by-step explanation:

The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.

The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.

To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:

For y = sin(x):

x = 0, y = 0

x = π/2, y = 1

x = π, y = 0

x = 3π/2, y = -1

x = 2π, y = 0

For y = sin(2x):

x = 0, y = 0

x = π/2, y = 0

x = π, y = 0

x = 3π/2, y = 0

x = 2π, y = 0

As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).

Therefore, the correct statement is: It is compressed horizontally.

Answer:

486

Step-by-step explanation:

27x18

Answer:

the answer is 486

Step-by-step explanation:

you multiply 27×18 which when done you get 486

Answer:

0.701, 0.71, 7.0101, 7.034, 7.01, 7.34, 71.01

Answer:

To smallest:

71.01, 7.34, 7.034, 7.0101, 7.01, 0.71, 0.701

To biggest:

0.701, 0.71, 7.01, 7.0101, 7.034, 7.34, 71.01

The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.

To find the probability that a randomly selected student will like pizza but not chicken nuggets.

Let P = the number of students who like pizza but not chicken nuggets

Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets

P = 28n - 8

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students)

We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:

Total number of students = 28n + 15 - 8 = 28n + 7

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)

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The true statement is (c) that He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x^2, –x, –6x, and 6.

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The expression is given as:

\(x^{2} -7x + 6\)

Expand;

\(x^{2} -6x - x +6\)

Factorize;

x(x-1) - 6 (x- 1)

Factor out x - 6

(x - 6) (x- 1)

This means that the factors of \(x^{2} -7x + 6\) are x - 1 and x - 6

Hence, the true statement is (c) that He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x^2, –x, –6x, and 6.

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Answer: Answer is C

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer:

42 is the answer because 7*6

Answer:

We have the system of equations:

y = -2*x

y = 2*x + 4.

To solve it by graphing, you need to graph both lines and see in which point the lines intersect each other.

You can see it in the image below. (blue is y = 2*x + 4, and green is y = -2*x)

We also can calculate the solution with math, let's do that:

y = -2*x

y = 2*x + 4.

We can replace the first equation in the second one, to get:

-2*x = 2*x + 4

Now let's solve this for x

-2*x -2*x = 4

-4*x = 4

x = 4/-4 = -1

Evaluating this in one of the equations we get:

y = -2*-1 = 2

Then the solution is the point (-1, 2), exactly what we can see in the graph.

Answer:

I wish I could help but I don't know

Answer:

D is correct

Step-by-step explanation: