The measure of an angle is 138°. What is the measure of its supplementary angle?​

The maximum volume of his box is approximately 15.

The maximum value of a graph that represents a function is the y-value of the vertex of the parabola, that is, the point where the graph begins to shift from increasing to decreasing.

Thus, in the graph given, the volume is plotted on the y-axis. The graph also shows a parabola that has a vertex at y = 15. This represents the maximum value.

The vertex, which is at y = 15, represents the maximum volume of the box.

Therefore, this means that the maximum volume of his box is approximately 15.

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Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

From the information provided, the warehouse space has 8000 sq ft of showroom and workshop. One hal o this would be used which translates to 4000 sq ft. The warehouse has a height of 20 ft.

The cubic vloume of the warehouse is given as follows;

The dimensions for each rim is given as

The volume of each rim therefore is;

To determine how many rims would fit into half of the warehouse,

If you must have exactly 4 cans in a rim, then

Problem

Coach Carter's budget to buy new uniforms is between $400 and $600. If a

new set of uniforms cost $40 each, how many new sets can he afford to buy?

Solution

Variable Represents:

x= represent the number of sets that he can afford to buy

Inequality:

400 < 40x< 600

Solve:

400/40< x < 600/60

10 < x < 15

Sentence:

For this case we can conclude that the number of sets that he can afford to buy are between 10 and 15

Using the definition of big o notation, t(n) = 32 * 4^n is O(f(n)) = 5^n with c = 26 and n0 = 1.

The definition of Big O notation states that a function t(n) is said to be O(f(n)) if there exist positive constants c and n0 such that |t(n)| <= c * |f(n)| for all n >= n0. In other words, t(n) grows no faster than f(n) as n becomes large.

To find the constants c and n0 that show that t(n) = 32 * 4^n is O(f(n)) = 5^n, we need to find a value of c and an n0 such that:

|32 * 4^n| <= c * |5^n|

for all n >= n0.

Let's start by finding a value for c that works for n = 1. We have:

|32 * 4^1| = 128 <= c * |5^1| = 5c

So, c >= 128 / 5 = 25.6.

Now let's try c = 26. We have:

|32 * 4^n| <= 26 * |5^n|

for all n >= 1.

Since 26 * |5^n| is an increasing function as n increases, we can conclude that:

t(n) = 32 * 4^n is O(f(n)) = 5^n

with c = 26 and n0 = 1.

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(a) In a triangle, the length of the median is equal to half the length of the side it intersects. Therefore, if the shorter segment of the median is 7, the length of the median itself is 2 times that, which is 2 * 7 = 14.

(b) Similarly, if the longer segment of the median is 20, the length of the median is 2 times that, which is 2 * 20 = 40.

(c) To find the length of the shorter segment of the median with a length of 42, we divide it by 2, giving us 42 / 2 = 21.

(d) To find the length of the longer segment of the median with a length of 39, we divide it by 2, giving us 39 / 2 = 19.5.

Therefore:

(a) Length of the median = 14

(b) Length of the median = 40

(c) Length of the shorter segment of the median = 21

(d) Length of the longer segment of the median = 19.5

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Answer: 100% increase

Step-by-step explanation:

The sample space for genders from two births would include four possible outcomes: two boys, two girls, one boy and one girl (in either order).

 The sample space for the genders from two births includes all the possible outcomes of genders for two children. In this case, there are four possible combinations:

1. Male (M) - Male (M)
2. Male (M) - Female (F)
3. Female (F) - Male (M)
4. Female (F) - Female (F)

So, the sample space for the genders from two births is {MM, MF, FM, FF}.

In probability theory, the sample space is the set of all potential outcomes or results of an experiment or random trial. It is also referred to as the sample description space, possibility space, or outcome space. The potential ordered outcomes, or sample points, are listed as elements in a set that is used to represent a sample space. A sample space is frequently referred to as S,, or U (for "universal set"). A sample space may contain symbols, words, letters, or numbers as its components. They may also be uncountably infinite, countably infinite, or finite.

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Answer:

2/9

Step-by-step explanation:

hope this helps. have a good day.

Answer:

46

Step-by-step explanation:

46

Answer:

A-3x3 bc the parentheses are multiplying

Answer:

y = 40

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 12 when x = 3 , then

12 = 3k ( divide both sides by 3 )

4 = k

y = 4x ← equation of variation

When x = 10 , then

y = 4 × 10 = 40

The correct option is none of the given choices (E. $3,600). No money will go uncollected based on the provided information.

To calculate the amount of money per year that will go uncollected, we need to determine the annual amount based on the monthly average sales.

Annual uncollected amount = Monthly average sales * 12 - Annual sales

Given that the firm's sales average $100,000 per month, the annual sales would be:

Annual sales = Monthly average sales * 12 = $100,000 * 12 = $1,200,000

Substituting this value into the equation:

Annual uncollected amount = $100,000 * 12 - $1,200,000 = $1,200,000 - $1,200,000 = $0

Therefore, the correct option is none of the given choices (E. $3,600). No money will go uncollected based on the provided information.

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Therefore, the triangle A'B'C' has vertices A'(-4,-1), B'(3,0), and C'(-7,2), which is the reflection of triangle ABC in the y-axis and it is congruent to ABC.

A triangle is a polygon that has three sides and three angles. It is the simplest polygon that can be formed with more than two straight lines in a two-dimensional plane. The three angles in a triangle always add up to 180 degrees. Triangles are classified based on their side lengths and angles, and can be acute, right, or obtuse. Some common types of triangles include equilateral, isosceles, and scalene triangles.

Here,

To find the reflection of the triangle ABC in the y-axis, we need to reflect each point of the triangle across the y-axis. The y-axis is the vertical line passing through the origin.

For a point (x,y), its reflection across the y-axis is the point (-x,y). Therefore, we can find the reflection of each vertex of triangle ABC in the y-axis as follows:

The reflection of A(4,-1) is A'(-4,-1).

The reflection of B(-3,0) is B'(3,0).

The reflection of C(7,2) is C'(-7,2).

To determine if the two triangles are congruent, we can check if they have the same side lengths and angles. Since the y-axis is a vertical line, it does not affect the length of the sides or the measure of the angles. Therefore, the two triangles are congruent.

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Answer:

124250cm, 1242.5m or 1.2425km

Step-by-step explanation:

0.6% = 6/100

6/100 = 0.006

0.006*1.25 = 0.0075

1.25km = 1250m = 125000cm

0.0075km = 7.5m = 750cm

125000 - 750 = 124250

Therefore:

The answer is 124250cm, 1242.5m or 1.2425km

Sub to oTechz :)

Answer:

17 is the answer.

Step-by-step explanation:

There are two ways to do this problem:

a. plug in each value and multiply it by 3. 3x15 is 45, 3x16 is 48, and 3x17 is 51, which is your answer.

b. divide both sides by three and you would get g=17.

Answer:

Answer=56 minutes

Step-by-step explanation:

I am not sure i have the same problem but since the first class starts at 8:26 am and the fourth class ends at 11:26 am if there are no breaks in between it would be 60 minutes like this:8:26-9:26-10:26-11:26 but it has 4 minutes between so 60-4=56 minutes

Step-by-step explanation:

The series of transformations that shows that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other is a combination of translation and rotation that involves 150 degrees. A transformation refers to the process of changing an object's position, size, or shape.

Translation, reflection, rotation, dilation, and skew are the five basic transformation types that modify an object.In geometry, congruent shapes have the same shape and size. To superimpose one shape onto another means to make them coincide with each other.

The following series of transformations would show that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other: Step 1: Translation. Translate the parallelogram ABCD by 5 units to the right and 6 units down to obtain parallelogram A1B1C1D1.Step 2: Rotation. Rotate parallelogram A1B1C1D1 by 150 degrees counterclockwise around point A1 to obtain parallelogram A2B2C2D2.Step 3: Translation. Translate parallelogram A2B2C2D2 by 8 units to the right and 3 units up to obtain parallelogram A'B'C'D'.Thus, the series of transformations that shows that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other involves translation and rotation, with a rotation of 150 degrees.

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Answer:

B

Step-by-step explanation:

In 45 45 90 triangles the ratio is a:a:a root 2 so the answer would be 3root 2/2 or c because when multiplied again by root 2 it will get you 3.

The tax rate is 8% if the person pay $120 in taxes.

A tax rate is a percentage at which an individual or corporation is taxed. The U.S. imposes a progressive tax in which the higher the individual's income, the higher the tax.

To get tax rate, we will divide the amount of taxes paid ($120) by the income ($1,500) and then multiply by 100.

Tax rate = (Taxes paid / Income) * 100

Tax rate = ($120 / $1,500) * 100

Tax rate ≈ 8%.

Translated question:

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Answer :

(i) 33.422

(ii) 42.742

(iii) 25.360

Step - by - Step Explanation :

(i) 0.002 + 8.34 + 25.08

   = 33.422

(ii) 32 + 0.542 + 10.2

    = 42.742

(iii) 25.032 + 0.32 + 0.008

    = 25.360

Hope it's Helpful For All

Mark Me Brainlist

Answer:  

x=5  

Step-by-step explanation:

x is the length of the line segment from the center to the boderline of circle. So x=5

The input value that produces the same output value for f(x) and g(x) on the graph is x = 1.To find the input value that produces the same output value for both functions, we need to determine the x-coordinate of the point(s) where the two lines intersect.

These points represent the values of x where f(x) and g(x) are equal.

The line labeled f(x) passes through the points (-2, 4), (0, 2), and (1, 1). Using these points, we can determine the equation of the line using the slope-intercept form (y = mx + b). Calculating the slope, we get:

m = (2 - 4) / (0 - (-2)) = -2 / 2 = -1

Substituting the point (0, 2) into the equation, we can find the y-intercept (b):

2 = -1(0) + b

b = 2

Therefore, the equation for f(x) is y = -x + 2.

Similarly, for the line labeled g(x), we can use the points (-3, -3), (0, 0), and (1, 1) to determine the equation. The slope is:

m = (0 - (-3)) / (0 - (-3)) = 3 / 3 = 1

Substituting (0, 0) into the equation, we can find the y-intercept:

0 = 1(0) + b

b = 0

Thus, the equation for g(x) is y = x.

To find the input value that produces the same output for both functions, we can set the two equations equal to each other and solve for x:

-x + 2 = x

Simplifying the equation:

2x = 2

x = 1.

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Answer:

scout is a group of noble youth

Answer:

DE=3.75

DF=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

To convert the value 1,000,000 to an exponential form means we are to write the value in multiples of 10.  Breaking down the values in multiples of 10 will give;

1,000,000 = 10 * 10 * 10 * 10 * 10 * 10 (it is broken down into 6 places because the value contains 6 zeros)

Express in exponential form

1,000,000 = (10 * 10 * 10) * (10 * 10 * 10)

1,000,000 = (10³) * (10³)

1,000,000 = 10³⁺³

1,000,000 = 10⁶

Hence the value 1,000,000 in exponential form is expressed as 1 * 10⁶

For 10 * 10:

10 * 10 = 10¹ * 10¹

10 * 10 = 10¹⁺¹

10 * 10 = 10²

10 * 10 = 1 * 10²

The value of the expression 10*10 in exponential form is 1 * 10²

For 10,000 * 10:

10,000 * 10 = (10*10*10*10) * 10

10,000 * 10 = (10⁴) * 10¹

10,000 * 10 = 10⁴⁺¹

10,000 * 10 = 1 * 10⁵

Hence, The value of the expression 10000*10 in exponential form is 1 * 10⁵

Answer:

28 Centimeters

Step-by-step explanation:

Have a good day :)