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In the diagram, mAngleFLI is 106°, mAngleFLG = (2x – 1)°,
mAngleGLH = (x + 17)°, and mAngleHLI = (4x – 15)°.

Four lines extend from point L. They are lines L F, L G, L H, and L I.
What is the measure of the smallest angle in the diagram?

15°
29°
32°
45°

The answer is 876. Hope this helps.

Answer:

Option 2: 876

Step-by-step explanation:

\(\frac{13,140}{15} = 876\)

Answer:

1. LHJ

2. AB

3. Acute

4. Complement 30, supplement 120

5. AOD

6. 61

7. acute

8. 36

9. Octogon

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

she will use about 28 cups of sugar

Step-by-step explanation:

14*2=28

The width of the rectangular box will be 8cm

Given that the formula for calculating the volume of a rectangular box is expressed as:

\(V=lwh\)

L is the length

w is the width

h is the height

Get the "value of "w

\(V = lwh\\w=\frac{V}{lh}\)

Given the following parameters

Length l = 3 cm

Volume V = 120cm³

Height = 5cm

Get the width of the box as shown:

\(w=\frac{V}{lh}\\w=\frac{120}{3\times 5}\\w=\frac{120}{15}\\w= 8cm\)

Hence the width of the rectangular box will be 8cm

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Answer:

hundreds = 1, for the equation to be true.

Step-by-step explanation:

Given an equation:

\(\frac{4}{hundreds}\) = 4 hundreds = 4

For this equation to be true, hundreds should be represented by a minimum value.

This implies that, hundreds can not be represented by a number which equal zero, less than or greater than 1. Therefore, hundreds = 1.

So that;

\(\frac{4}{1}\) = 4 x 1 = 4

⇒ 4 = 4 = 4

Thus, a true expression.

For the given equation to be true, hundreds must be equal to 1.

E.g: \(\frac{100}{hundreds}\) = 100 hundreds = 100

For this equation to be true, hundreds = 1.

So that;

\(\frac{100}{1}\) = 100 x 1 = 100

⇒ 100 = 100  = 100

Answer: 400

Step-by-step explanation:

40 times 10 is 400

The vertex of the graph of f(x) = |x - 5| - 6 is (5, -6). It lies in the fourth quadrant.

Therefore the answer is (5, -6).

The graph f(x) = |x - 5| - 6 is symmetrical about the axis  x = 5.

A vertex of a graph is a node of a graph. For a graph of the form f(x) = a|x - h| + k, the vertex is (h, k). So in this case where f(x) = |x - 5| - 6, a = 1, h = 5 and k = -6. Therefore the vertex of the given graph f(x) is

(5, -6)

--The question is incomplete, answering to the question --

"What is the vertex of the graph of f(x) = |x - 5| - 6?"

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Answer:

B?

Step-by-step explanation:

What is the multiple choice here? I can only assume that it meant 51 miles/ 3 gallons but I can't be certain.

Fraction form?

Answer:

86,585 \(\frac{15}{41}\)

Step-by-step explanation:

\(10^{6}\) = 1,000,000

\(10^{1}\) = 10

~~~~~~~~~~~~~~~~~~~~~~~~~

7.1 * 1,000,000 = 7,100,000

8.2 * 10 = 82

~~~~~~~~~~~~~~~~~~~~~~~~~

7,100,000/82  or   \(\frac{7,100,000}{82}\) or    86,585 \(\frac{15}{41}\)

~~~~~~~~~~~~~~~~~~~~~~~~~

P.S. I'm pretty sure this answer is late.

The percentage of tires that will have a life of 45,000 to 55,000 miles is  68.27%. So the correct option is 68.27%.

To find the percentage of tires that will have a life of 45,000 to 55,000 miles, we can use the concept of the normal distribution.

First, we calculate the z-scores for both values using the formula:
z = (x - mean) / standard deviation

For 45,000 miles:
z1 = (45,000 - 50,000) / 5,000 = -1

For 55,000 miles:
z2 = (55,000 - 50,000) / 5,000 = 1

Next, we look up the corresponding values in the standard normal distribution table. The table will provide the proportion of data within a certain range of z-scores.

The percentage of tires with a life between 45,000 and 55,000 miles is the difference between the cumulative probabilities for z2 and z1.

Looking at the standard normal distribution table, the cumulative probability for z = -1 is 0.1587, and the cumulative probability for z = 1 is 0.8413.

Therefore, the percentage of tires that will have a life of 45,000 to 55,000 miles is:
0.8413 - 0.1587 = 0.6826

Converting this to a percentage, we get:
0.6826 * 100 = 68.26%

So the correct answer is 68.27%.

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Answer:

translation  and um thats all

Answer:

4.4 otherwise that there isn't one

Answer:

4.35889894354

Answer:

51.1 ≈ r

Step-by-step explanation:

"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.

C = 2· π· r

What is the radius of the wheel ​?

321 = 2· π· r, divide both sides of the equation by 2 π

(321/2·π) = r , use calculator, solve and round the answer

51.1 ≈ r

The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours."  

What does the frequency distribution in the table reveal about the homework habits of the two samples of high school students?

The frequency distribution in the table provides insights into the distribution of homework habits among the two samples of high school students. By examining the frequency counts in each time category, we can determine the proportion of students spending different amounts of time on homework each night. This information helps identify patterns and differences in homework habits between the two samples, allowing for a comparison of their study behaviors.

Here is an example of a 4-column table with 2 rows representing the results of a random survey asking two samples of 100 high school students about the amount of time they spend on homework each night:

Sample 1:

  Sample 1                                                     Number of Students

    Time                                                                   Frequency

   <1 hour                                                                     20

  1-2 hours                                                                    40

 2-3 hours                                                                     30

    >3 hours                                                                   10

Sample 2:

 Sample 2                                                        Number of Students

Time                                                                      Frequency

<1 hour                                                                        30

1-2 hours                                                                    35

2-3 hours                                                                   20

>3 hours                                                                      15

In this table, each sample represents a different group of 100 high school students, and the frequency of students spending a particular amount of time on homework each night is recorded. The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours." The table provides an overview of the distribution of homework time among the two samples of high school students.

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Answer:

\(\frac{11\pi }{6}\)

Step-by-step explanation:

To convert an angle from degrees to radians, you need to multiply the degrees by \(\frac{\pi }{180}\).

\(\frac{330}{1}\) × \(\frac{\pi }{180}\) = \(\frac{330\pi }{180}\)

\(\frac{330\pi }{180}=\frac{11\pi }{6}\)

Answer:

Step-by-step explanation:

Let the number be x.

four times the number:

4x

If the exprression is increased by 1, it will become:

4x+1

If the value is between -7 and 13, the value of x will be within the range [-6, 12]

Equating the resulting expression to each end point.

At end point of -6

4x+1 = -6

4x = -6-1

4x = -7

x = -7/4

At the end point of 12:

4x+1 = 12

4x = 12-1

4x = 11

x = 11/4

Hence all the numbers will be within the range [-7/4, 11/4] or -7/4≤x≤11/4

Answer:

bbbbbvvvvvvvvv

Step-by-step explanation:

PLEASE HELP ME!! (I’m struggling in microeconomics) For each scenario see whether you agree. Then determine if the scenario is talking about a price for or price silly then graph the price control to show the results.

The value of u​ = 56.78 degree

Any triangle's three angles sum up to 180 degrees when added together. Therefore, the sum of angles A, B, and C is 180 degrees. Any triangle in the field of geometry has this property. This concept can be used to determine the measure of an angle or angles in which the degree measure is absent or not provided.

A, B, and C is 180 degrees

in a triangle <u- 40 degree <u+50 degree so <u is

<u- 40 degree

<u+50 degree

so

<u =

(u - 40 ) + (u+50 ) + u = 180

3u - (170.3) =180

u = 170.3/3 = 56.78.

The value of u​ = 56.78 degree

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Answer:

3/4 * 2/5

Step-by-step explanation:

Areas is L * W

(1/5 + 1/5) * (1/4 + 1/4 + 1/4) = 2/5 * 3/4

Answer:

3/10

Step-by-step explanation:

The area will be the length of the striped rectangle multiplied by the width of the striped rectangle.

The length will be 1/4 + 1/4 + 1/4 = 3/4 and the width will be 1/5 + 1/5 = 2/5.

Now just multiply 3/4 by 2/5 and you'll get 6/20 which in its simplest form is 3/10.

Answer:

y = 0.75x + 17

Step-by-step explanation:

y - 20 = 0.75(x-4)

y - 20 = 0.75(x) + 0.75(-4)

y - 20 = 0.75x -3

y = 0.75x -3 + 20

y = 0.75x + 17

y - 20 = 0.75(x - 4)    |add 20 to both sides

we can simplified equation:

use the distributive property: a(b + c) = ab + ac

y = 0.75x - 0.75 · 4 + 20

y = 0.75x - 3 + 20

The expression of sine function of sinâ1(â3/2) is undefined. The value of cosâ1(1/2) = π/3 radians.

The expression sinâ1(â3/2), since the sine function is only defined for angles between -π/2 and π/2, we cannot find an angle with a sine of -â3/2. Therefore, the expression is undefined.

The expression cosâ1(1/2), Since the cosine function is positive for angles between 0 and π, we know that the angle we are looking for is in the first or fourth quadrant.

To find the angle, we can use the inverse cosine function, which gives us the angle whose cosine is equal to the given value. Therefore, we have

cosθ = 1/2

Taking the inverse cosine of both sides, we get

θ = cos⁻¹(1/2)

Using the unit circle or trigonometric identities, we can find that cos⁻¹(1/2) = π/3 or 2π/3. Since the cosine function is positive in the first quadrant and negative in the fourth quadrant, we choose the solution in the first quadrant, which is θ = π/3.

Therefore, cosâ1(1/2) = π/3 radians.

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Answer:

n = 3/2

I hope this helps and have a great day :)

And please mark my answer brainliest if you can :)

Answer:

n=3/2

Step-by-step explanation:

Answer:

I’m pretty sure that #1 is D because their are 4 different degrees making it a quadratic

Step-by-step explanation:

Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept

We can use the data given in writing out our equation

390.6 = 14x

If 14 gallons = 390.6 miles

 1 gallon = x miles

x = 390.6 / 14

x = 27.9 miles

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The circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j is    2π ∫₀ (cos t sin t - sin t cos tj)dt = 0

Integration is described as blending matters or human beings collectively that have been formerly separated. An example of integration is while the schools have been desegregated and there have been now not separate public faculties for African individuals.

The method of finding integrals is referred to as integration. at the side of differentiation, integration is a fundamental, crucial operation of calculus, and serves as a device to solve troubles in mathematics and physics regarding the location of an arbitrary form, the length of a curve, and the extent of a solid, among others.

r (t) = cost i + sin t j = dr( sin ti + cos t)dt

F =  -xi -yj = -costi - sin tj

Flux = F .dr = \(\int\limit2n^0_b {-costi - sin tj} \, dx\)j)-( sin ti + cos t)dt

           \(\int\limit2n^0_b {-costi - sin tj} \, dx\) -( sin ti + cos t)dt

     2π ∫₀ (cos t sin t - sin t cos tj)dt = 0

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Answer:

y=2x+7

Step-by-step explanation:

Hi there!

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

we are given the slope (2), and a point (-3,1)

we can subsitute 2 as m into the equation

y=2x+b

we need to find b

Since the equation will pass through the point (-3,1), you can use it to solve for b.

substitute -3 as x and 1 as y

1=2(-3)+b

multiply

1=-6+b

7=b

therefore the equation of the line is y=2x+7

Hope this helps!

Answer: 15 years

Step-by-step explanation:

6000 x 1.05^x = 12000

1.05^x=2

log(1.05^x)=log(2)(Take log of both sides)

x*(log(1.05))=log(2)

x= log(2)

log(1.05)

x=14.206699

15 years

The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

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x = 11, TV = 10

According to the Thales theorem:

RU = 8

US = 14

TV = x - 1

VS = 17.5

Substitute these values into the equation for the thales theorem

8/14 = (x-1) / 17.5

Cross multiply

8 (17.5) = 14(x - 1)

140 = 14 (x - 1)

140/14 = x - 1

10 = x - 1

x = 10 + 1

x = 11

To get the value of TV, substitute x = 11 into TV = x - 1

TV = x - 1

TV = 11 - 1

TV = 10

Answer:

12x - 29 + 4x + 1 = 180

Step-by-step explanation:

(12x - 29) and (4x + 1) are same- side interior angles and sum to 180° , then

12x - 29 + 4x + 1 = 180 ← is the equation to solve for x

16x - 28 = 180 ( add 28 to both sides )

16x = 208 ( divide both sides by 16 )

x = 13

Step-by-step explanation:

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The radius of the cylindrical can is approximately 3 cm.

To find the radius of the cylindrical can, we can use the formula for the volume of a cylinder:

Volume of a cylinder = πr²h,

where π is a mathematical constant approximately equal to 3.14, r is the radius of the cylinder, and h is the height of the cylinder.

Given that the volume of the cylindrical can is 198 cm³ and the height is 7 cm, we can substitute these values into the formula:

198 cm³ = 3.14 × r² × 7 cm.

To find the radius, we need to isolate it on one side of the equation. Let's divide both sides of the equation by (3.14 × 7 cm):

198 cm³ / (3.14 × 7 cm) = r².

Simplifying the right side of the equation gives us:

198 cm³ / 21.98 cm = r².

Now, divide the volume by 21.98 cm:

8.999090909090909... cm = r².

To find the radius, we need to take the square root of both sides of the equation:

√(8.999090909090909... cm) = √(r²).

The square root of r² is equal to r, so we have:

r = √(8.999090909090909... cm).

Calculating the square root of 8.999090909090909... cm gives us:

r ≈ 2.9999999999999995 cm.

Therefore, the radius of the cylindrical can is approximately 3 cm.

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