The area of the triangle is no more than 30 square inches. Right and solve inequality that represents a.

(HELP ASAP!)

three main trigonometry ratios are sin ,cos and tan.

1- Sine or sin θ = perpendicular / Hypotenuse .

2- Cosines or cos θ = base of triangle / Hypotenuse .

3- Tangent or tan θ = perpendicular of triangle / base of triangle.

Trigonometry

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Trigonometric values are based on the angle theta and the values of the sides of triangle in which the theta angle is made.

for example - value of sin theta is equal to the side opposite to the theta angle divided by hypotenuse of the triangle and we will get the values of the sin trigonometric ratio.

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The area of the shaded region is 26.088 sq units.

A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced out from the center.

The radius of a circle is measured from the center to the edge. The line that splits a circle into two identical halves is its diameter, which is also twice as wide as its radius.

Area of a 60-degree sector of a circle with radius 12  = 60/360 pi 12^2    Since, there are two of these minus the area of equilateral triangle =                 sqrt3 /4  12^2  = 60/360 pi 12^2 * 2 -  sqrt3 /4  12^2 *2  =  26.088 sq units

Thus, the area of the shaded region is 26.088 sq units.

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Answer:

16c9

Step-by-step explanation:

First, we will add up the number of different car possibilities. This is:

6 + 7 + 3 = 16.

Then, we need to take 9 of these 16 cars, giving us 16c9.

Hope this helped!

Answer:

4,151,347,200

Step-by-step explanation:

Answer: m= 0 ; b= 16

(5,16) (-10,16)

Step-by-step explanation:

y=16 so dont need to find y cause it already there so (5,16) (-10,16)

m=y^2- y^1 / x^2-x^1

16-16 / -10-5 = 0/-15 = 0. So m= 0

b is y-intercept and we have y=16 so b=16

The process of simplify the equation is explained below.

The term equation is known as a mathematical statement that defines the equality between two expressions.

Here we have to define the process of simplifying the equation.

The first and foremost step is to remove parentheses and brackets by multiplying factors.

And then we have to use the exponent rule to remove grouping if the terms contain exponents.

Then we have to combine like terms by adding or subtracting coefficients.

Finally, we have to Combine the constants.

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B) The length of GB is 3 in the given triangle.

The centroid of a triangle is the point at which the three medians of the triangle intersect. A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. The three medians divide the triangle into six smaller triangles, each with a vertex at the centroid.

The ratio in which the centroid divides a median of a triangle is 2:1. That is, the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side.

So, if G is the centroid and B is the midpoint of the side opposite to point A, the ratio of EG: GB is 2:1.

so the length of GB = EG/2

so the length of GB = 3

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Complete question:

In ΔAEC, G is the centroid , as shown in the figure .

if EG = 6 ,find GB

A) 2

B) 3

C) 6

D) 9

This method is used when the population has distinct subgroups.

The plan to conduct a survey by randomly selecting 20 students from each of the freshman, sophomore, junior, and senior classes is an example of stratified random sampling.

In stratified random sampling, the population is first divided into subgroups or strata based on some characteristic, such as class level (freshman, sophomore, junior, senior), and a random sample is then selected from each stratum.

This method is used when the population has distinct subgroups and it is important to ensure that the sample is representative of each subgroup. In this case, by taking random samples of 20 students from each class level, the statistics class can ensure that the survey results accurately reflect the views of each class level and not just one particular group.

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Work Shown:

x = number of years

y = population

y = 4000*1.02^x

4500 = 4000*1.02^x

4500/4000 = 1.02^x

1.125 = 1.02^x

log(1.125) = log(1.02^x)

log(1.125) = x*log(1.02)

x = log(1.125)/log(1.02)

x = 5.94784893412128

Rounding to the nearest year, it takes about 6 years for the population to reach 4500 people.

---------------

Check:

Plug in x = 5

y = 4000*1.02^x

y = 4000*1.02^5

y = 4416.3232128

y = 4416

We come up a bit short. Now try x = 6

y = 4000*1.02^x

y = 4000*1.02^6

y = 4504.649677056

y = 4505

We go a bit over the target, but it's better to go over rather than come up short.

This confirms the answer is approximately 6 years.

Answer:

A right triangular prism contains rectangular faces.

Step-by-step explanation:

Answer:

(C) A right triangular prism contains rectangular faces.

Step-by-step explanation:

hope this helps <3

Answer: Perimeters Are Shown Below

Step-by-step explanation:

6. 2 Hexagons; 1+1+1+1+1+1+1+1+1+1   OR 1 x 10

6. 3 Hexagons; 1+1+1+1+1+1+1+1+1+1+1+1+1+1  OR 1 x 14

7. 2 Pentagons; 1+1+1+1+1+1+1+1  OR 1 x 8

7. 3 Pentagons; 1+1+1+1+1+1+1+1+1+1+1  OR 1 x 11

A triangle that is equilateral has three equal sides and three equal angles.

The angles are all 60 degrees each. Two 90-degree angles are formed when the height of an equilateral triangle is drawn to the base of the triangle, and the top angle is divided into two 30-degree angles. A triangle with sides of 30-60-90 always has sides that are 1:3:2.

The 30-60-90 triangle formula for sides y is also known as y3: 2y. The angles of the triangle are always 30, 60, and 90 degrees. Given that one of the angles is 90 degrees, this triangle is always a right triangle. These angles come together to form a right-angled triangle. Furthermore, the right angle is equivalent to the sum of two sharp angles, which will have the ratios of 1: 2 or 2: 1.

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The number of hours of practice is 3 x h or 3h.

In mathematics, an expression is a sentence that contains at least one number or variable. Additionally, an expression consists of at least one mathematical operation. There is no equal to sign in an expression.

Given:

Volleyball practice is h hours long. Debbie had 3 volleyball practices last week.

Multiply the number of hours for each practice by the total number of practice to get the expression for the number of practice hours.

The mathematical operation known as multiplication is used to calculate the sum of two or more numbers.

Number of hours of practice

= hours of practice x number of practice

= 3 x h

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Answer: B,D

Step-by-step explanation:

Answer:

$2581.60

Step-by-step explanation:

In order to find the amount owed after 4 years, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the amount owed after t years

P is the principal, or initial amount borrowed

r is the interest rate

n is the number of times the interest is compounded per year

t is the number of years

Plugging in the given values, we have:

A = $2000(1 + 0.07/2)^(2*4)

= $2000(1.035)^8

= $2000(1.2908)

= $2581.60

Therefore, the amount owed after 4 years would be $2581.60.

Therefore , the solution of the given problem of expression comes out to be √14q × 2√4q = 4q√14.

combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.

• 3 x/2 variable  is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.

Here,

The simplified expressions are 20 = 25, 56x2 = 2x14, [150x3k4] = 5xk26x, and 14q 24q = 4q14 given the facts from the question.

Simplifying the surd

A perfect square must be one of the components for a number to be written as just surds.

How to Make 20 Recall Simpler

20 = 4 × 5

Thus,

√20 = √(4 × 5)

√20 = 2√5

simple methods √(56x²)\s√(56x²) = √56 × √x²

Recall

√56 = √(4 × 14) = 2√14

√x² = x

Thus,

√(56x²) = 2√14 × x

√(56x²) = 2x√14

simple methods [150x3k4] = [150x3k4] = [150x3k4]

Recall

√150 = √(25 × 6) = 5√6

√x³ = √(x² × x) = x√x

√k⁴ = k²

Thus,

√[150x³k⁴] = 5√6 × x√x × k²

√[150x³k⁴] = 5k²x√6x

How to simplify 14q 2 4q: 14q 2 4q = 2

(14q × 4q)

√14q × 2√4q = 2 × 2q√14

√14q × 2√4q = 4q√14

Therefore , the solution of the given problem of eexpression comes out to be √14q × 2√4q = 4q√14.

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Answer: domain(-oo,oo). range= f(x) >-5

Step-by-step explanation:

Answer:

1st person will receive = $590

2nd person will receive = $470

3rd person will receive = $940

Step-by-step explanation:

Total divisible amount = $2000

according to the question:

let 2nd person's received amount = x

1st person's received amount = x + 120

3rd person's received amount = 2x

x + x + 120 + 2x = 2000

4x + 120 = 2000

4x = 2000 - 120

4x = 1880

x = 1880 / 4

thus,

x = 470

1st person will get = x + 120 = 470+120 = $590

2nd person will get = x = $470

3rd person will get = 2x = 2 * 470 = $940

1.75% is rate of increse does not change.

What's the math rate?

An unusual ratio in which the two parts are expressed in distinct units is called a rate. The price is 69 for 12 ounces, for instance, if a 12-ounce can of maize costs that much.

                    This is not a proportion of two comparable units, like shirts. This ratio combines the values of the two dissimilar units, cents and ounces.

1960 = 88,000,000

2010 = 242,000,000

formula: (new-old)/old* 100

(242,000,000 - 88,000,000)/88,000,000 * 100

154,000,000/88,000,000*100

1.75*100

= 1.75%

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5W = 24D is the expression that represents the change in the rate of dosage as per the weight.

A mathematical expression is a sentence that includes numbers, variables, or both. The equal symbol is never used in expressions. Here are a few phrases as examples. A mathematical statement stating the equality of two expressions is known as an equation.

Given the relation between dosage and the weight of a medicine

               Children's Fever Medicine

                (given every 4-6 hours, as needed)

Weight:     24 lbs         36+ lbs         48+lbs          60+lbs         72+ lbs

Dosage:    5 mL         7.5 mL          10 mL             12.5 mL           15 mL

ratio of weught and dose

24/5 = 36/7.5 = 48/ 10 = 60/12.5 = 75/15

=> 4.8 = 4.8 = 4.8 = 4.8 = 4.8

Since weight is directly proportional to the dosage

let W be the weight of the child and D be the Dose of the medicine

Thus, Relation between them:

=>W/D = 24/5

=> 5W = 24D

Therefore, The formula that describes the change in dosage rate in relation to weight is 5W = 24D.

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Answer:

p = -7/4 or -1 3/4

Step-by-step explanation:

-1 23/40 = 9/10p

-1 23/40 = -63/40

So, our equation is

-63/40 = 9/10p

Divided both sides by 9/10

p = -7/4

So, the answer is

p = -7/4

or

-1 3/4

The midpoint of 0 and 5 is 2.5.

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.

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The equation of the line parallel to y = 5x + 9 which intersects the point (-2, -3).

Parallel lines are coplanar, infinite straight lines in geometry that don't cross at any point. Planes in the same three-dimensional space that never cross each other are said to be parallel.

Curves that are parallel to one another and maintain a set minimum distance do not touch or intersect. A line and a plane that do not share a point are also referred to as being parallel in three-dimensional Euclidean space. But skew lines are used to describe two noncoplanar lines.

We know that slope of parallel line are same. Thus, slope is 5 in y = 5x + 9

Now we need to put the values in y intercept form to find out the equation

y - y1 = m(x - x1)

y - (-3) = m(x - (-2))

y + 3 = 5(x + 2)

y = 5x + 10 - 3

y = 5x + 7

Thus, The equation of the line parallel to y = 5x + 9 which intersects the point (-2, -3).

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Arranging cards with number -4, -2, -1, 5, 6, 8 making pair with the same total. Therefore, the pairs are (8,-4), (6,-2), (5,-1).

A pair is a hand that has two cards of same rank and three other cards that do not match any of these or each other. When comparing two similar hands, the hand with the higher pair wins – therefore 6-6-4-3-2 defeats 6-6-4-3-2. 5-5-A-K-Q.Some things, such as a pair of pants or a pair of scissors, contain two major sections that are the same size and form.

A 55-card deck with one 1, two 2s, three 3s, and so on up to ten 10s is used in the game. Shuffle the deck at the start of the game, then remove five cards from play without looking. Give each player one face-up card.

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Answer:

∠8 = 139°

Step-by-step explanation:

Before we start solving, let's identify the figure to understand the problem.

We are given two parallel lines that are cut by a transversal.

Two lines are parallel if they have the same arrow head marking.

If two parallel lines are cut by a transversal, the following angles are created:

I have attached an image of the different types of angles to this response.

Thus, we can use the types of angles to solve for ∠8.

∠3 and ∠5 are corresponding angles. Therefore, they have the same measure.

Set up the equation to solve for x:

∠3 = ∠5

9x + 14 = 14x - 1 . . . . . . substitute the values

14 = 5x - 1 . . . . . . . . subtract 9x from the LHS and RHS

15 = 5x . . . . . . . . . . add 1  to the LHS and RHS

∴ 3 = x . . . . . . . . . . . . divide the LHS and RHS by 5 to isolate x

Now that we know what x is, we can substitute it into the value of ∠3.

∠3 = 9x + 14

∠3 = 9(3) + 14 . . . . substitute the values

∠3 = 27 + 14 . . . . . compute

∴ ∠3 = 41

∠3 and ∠8 are adjacent angles. Therefore, they add up to 180°.

Set up the equation to solve for ∠8:

∠8 + ∠3 = 180

∠8 + 41 = 180 . . . . substitute the known values

∴ ∠8 = 139° . . . . . subtract 41 from the LHS and RHS to isolate ∠8

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Answer:

Step-by-step explanation:

180-54=139 so 8 equals 139

From the equation, the value of x is 13

When an integer is multiplied by the same integer, the resultant number is known as a square number. Simply put, a square number is a number that is obtained by the product of two same numbers but in this case, it is an equation, so the equation in the bracket multiplies itself.

(x – 7)² = 36

Raising both sides by 1/2

x-7 = √36

x - 7 = 6

x = 6+7

x = 13

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Answer:

142

Step-by-step explanation:

38+x = 180

x = 142

The answer is:

- 1 < x < 1

I hope this is correct

Therefore , the solution of the given problem of angles comes out to be

Each inner angle of a regular hexagon measures 120 degrees.

Two rays that converging at the vertex, or center, of an angular structure in geometry make up the structure. We refer to these rays as the faces of the angle. Two beams may well be able to create any angle within just a planar depending on their location. Additionally, an angle is created when two planes intersect. .

Given: A standard hexagon

Measure each internal angle of a standard hexagon.

Solution:

(n - 2) x 180° is the formula for the sum of lengths of a polygon's inner angles.

Every side of a regular polygon is the same length, and every angle is the same size.

A hexagon has six sides.

Find the total of the measurements of the internal angles of a hexagon by substituting n = 6 in (n - 2) x 180n latitude in step 1.

=> (n - 2) * 180°

=> (6 - 2) * 180°

=>4 * 180°

=> 720°

Step 2: Since a regular hexagon has six sides and all of its sides and angles are equal in size, divide by six to obtain the dimensions of each inner angle.

=> 720° /6

=> 120°

Each internal angle of such a regular polygon is 120 degrees in length.

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