Someone please answer Tysm

Answer:

line X

Step-by-step explanation:

The area of the right triangle is 18.02 cm².

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sum of angles in a triangle is 180 degrees.

Therefore, let's find the area of the right angle triangle as follows;

let's find the height and base of the triangle.

using trigonometric ratios,

cos 75 = adjacent / hypotenuse

cos 75 = base / 12

base = 3.10582854123

Therefore,

sin 75 = opposite / hypotenuse

sin 75 = h / 12

height = 11.5911099155

height = 11.59

Therefore,

area of the triangle = 1 / 2 × 3.11 × 11.59

area of the triangle = 36.0483518371 / 2

area of the triangle = 18.0241759186

area of the triangle = 18.02 cm²

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The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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The total distance traveled by the particle from T=1 to t=5 is approximately 57.8 meter

What is velocity ?

Velocity is a vector quantity that describes the rate of change of an object's displacement with respect to time. It tells us how fast an object is moving and in what direction. The velocity of an object can be positive, negative, or zero, depending on the direction of its motion. The standard unit of velocity is meters per second (m/s) in the International System of Units (SI).

To find the total distance traveled by the particle from T=1 to t=5, we need to integrate the absolute value of the velocity function over this time interval.

First, we need to find the position function of the particle. We integrate the velocity function to get:

s(t) = ln|t| - (3/10)t^¹⁰/³+ 2t + C

To find the constant C, we use the fact that the position of the particle at T=1 is 8 m:

8 = ln|1| - (3/10)¹⁰/³ + 2(1) + C

C = 8 + (3/10) - ln(1) = 8.3

So the position function of the particle is:

s(t) = ln|t| - (3/10)t¹⁰/³ + 2t + 8.3

To find the total distance traveled by the particle from T=1 to t=5, we need to integrate the absolute value of the velocity function over this time interval:

distance = ∫|v(t)| dt from 1 to 5

Substituting the given velocity function v(t) = 1/t - t⅓ + 2, we get:

distance = ∫|1/t - t⅓ + 2| dt from 1 to 5

We can split the integral into two parts based on the sign of the integrand:

distance = ∫(2 - 1/t + t⅓) dt from 1 to 5 - ∫(-2 + 1/t - t⅓) dt from 1 to 5

Simplifying and integrating, we get:

distance = [2t - ln|t| + (3/4)t⁴/³] from 1 to 5 + [2t + ln|t| - (3/4)t⁴/³] from 1 to 5

distance = (10 - ln(5) + (3/4)(5⁴/³)) - (2 - ln(1) + (3/4)(1⁴/³)) + (10 + ln(5) - (3/4)(5⁴/³)) - (2 + ln(1) - (3/4)(1⁴/³))

distance = 2(ln(5) + 8/3) + 3/2(5⁴/³- 1)

Therefore, the total distance traveled by the particle from T=1 to t=5 is approximately 57.8 meter

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According to the figure the required lengths are

BD = 7 units

BC = 9.9 units

The required lengths is solved knowing that in a right triangle having angle 45 degrees, the lengths of the legs of the right triangle are equal.

Also,  the perpendicular bisector creates another angle 45 degrees at angle B.

hence we another right triangle with a leg as 7 units hence BD is 7 units

solving for BC

BC = BA

BC² + BA² = CA²

BC² + BC² = 14²

2 x BC² = 196

BC² = 98

BC = √(98)

BC = 9.9 units

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Answer:

The first one is right

Step-by-step explanation:

Answer:

A

p-by-step explanation:

Answer:

i believe number 4 is the answer

Answer:

3.90

Step-by-step explanation:

5.25-1.35

=3.90

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Answer:

4b mod 12 = 4

Step-by-step explanation:

Since b mod 12 = 7, it implies that there is an integer, m such that

b = 12m + 7.

We desire to find 4b mod 12

So, multiplying b by 4, we have

4b = 4(12m + 7)

4b = 4 × 12 m + 4 × 7

4b = 4 × 12 m + 28

4b = 4 × 12 m + 24 + 4

4b = 4 × 12 m + 12 × 2 + 4

Factorizing 12 out, we have

4b = 12(4m + 2) + 4

Since m is an integer 4m + 2 is an integer since the operation of adding and multiplication is closed for the set of integers.

comparing 4b = 12q + r with 4b = 12(4m + 2) + 4,

q = 4m + 2 and r = 4

So 4b mod 12 = 4, that is the remainder when 4b is divided by 12 is 4.

In this exercise we have to calculate the value of the unknown, so we have:

the value is 4

we know that the equation will be given as:

\(b = 12m + 7\\\)

we need to multiply both sides by 4 to become another known equation, like this:

\(4b = 4(12m + 7)\\4b = 4 * 12 m + 4 * 7\\4b = 4 * 12 m + 28\\4b = 4 * 12 m + 24 + 4\\4b = 4 * 12 m + 12 * 2 + 4\)

So factoring this equation we will find that:

\(4b = 12(4m + 2) + 4\)

Thus, when making a comparison between the two equations, we have that:

\(4b = 12q + r \\4b = 12(4m + 2) + 4\\q = 4m + 2\\r = 4\)

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Consider the given inequality,

Add -4 on both sides,

Multiply both sides by -8, (the inequality sign will get changed),

Take reciprocals of both the sides,

Thus, the solution region contains all the points strictly less than negative 1/96.

The corresponding number line representation is given below,

Answer:

Step-by-step explanation:

area = 29 ft²

area = 1/2 × h × h

29 ft² = 1/2 × h × h

29 × 2 = h²

58 = h²

√58 = h

7.61 ft = h

Answer: 6

Step-by-step explanation:

\(A=\frac{1}{2}bh\\A=\frac{1}{2}(4)(3)=\boxed{6}\)

Answer:

The exponential model for the population is \(P(t) = 19000e^{0.048t}\)

Step-by-step explanation:

The exponential model for the population has the following format:

\(P(t) = P(0)e^{rt}\)

In which P(0) is the initial population and r is the growth rate, as a decimal.

A population numbers 19,000 organisms initially and grows by 4.8% each year.

This means that \(P(0) = 19000, r = 0.048\)

So

\(P(t) = P(0)e^{rt}\)

\(P(t) = 19000e^{0.048t}\)

The exponential model for the population is \(P(t) = 19000e^{0.048t}\)

Answer: 30%

Step-by-step explanation:
12/40 = 3/10 = 0.30

0.30*100 = 30%

Answer:

The answer to your problem is, A. 900

Step-by-step explanation:

How we would need to find it:

To determine the number of people who would prefer mustard on a hot dog, we need to use the proportion of people in the sample who prefer mustard and apply it to the total number of people in attendance.

27/150 = 0.18

Next, estimate the number of people who prefer mustard in the entire population of 5,000 attendees we can multiply/x this proportion by the total number of attendees:

0.18 x 5,000 = 900

Thus the answer to your problem is, A. 900

Answer:

to solve the equation you first need to bring it to factors and by doing that you first need to let the equation equal 0 hence you need to minus 2 on both sides of the equation therefore

x^2 + 10x + 25 - 2 =2 - 2

therefore

x^2 + 10x +23 = 0

now since the equation cannot be factored, we use the formula.

x= \(\frac{-b +- \sqrt{b^{2}-4ac } }{2a}\)

where

a=1

b=10

c=23

note we use the coefficients only.

therefore x = \(\frac{-10 -+ \sqrt{10^{2}-4(1)(23) } }{2(1)}\)

=\(\frac{-10-+\sqrt{100-92} }{2}\)

=\(\frac{-10-+\sqrt{8} }{2}\)

then we form two equations according to negative and positive symbols

x=\(\frac{-10+\sqrt{8} }{2} or x =\frac{-10-\sqrt{8} }{2}\)

therefore x = \(-5+\sqrt{2}\)   or x=\(-5-\sqrt{2}\)

Answer:

0.73

Step-by-step explanation:

To find the percent of games the Royals softball team won, we need to divide the number of games they won by the total number of games played, and multiply the result by 100%.

The number of games the Royals won is 55, and the total number of games played is 75, so the percentage of games won is (55 / 75) * 100% = 73.333...%.

You can round this answer to the nearest percent, or express it as a fraction. Rounded to the nearest percent, the answer is 73%. Expressed as a fraction, the answer is approximately 0.73.

Answer:

73%

Step-by-step explanation:

55/75= 0.73 (.03 repeating) multiple 0.73 by 100 to get the percentage

Answer:

A consistent of equations has at least one solution,and an inconsistent system has no solution, watch an example of analyzing a system to see if its consistent or inconsistent.

Answer:  see below

Step-by-step explanation:

Consider the standard form of a linear equation in Slope-Intercept form:

        y = mx + b    where

A CONSISTENT system of equations is where the equations have different slopes OR the same slope and y-intercept.

This results in the lines crossing so they have at least one solution.

An INCONSISTENT system of equations is where the equations have the same slope but different y-intercepts.

This results in parallel lines so they have no solutions.

Answer:

Already rounded to the nearest thousandth.

7433654.000

Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

Single alternative decision structure provides one alternative path of execution. A single- alternative structure is also known as a If-Then structure. A dual-alternative structure is also known as a If-Then-Else structure.

A decision structure is a construct in a computer program that enables the program to make a decision and then change its behavior based on the decision made.

These structures are the most important aspects of computer programming. There are various types of decision structures used in the Python programming language.

Single alternative decision structure provides one alternative path of execution. A single- alternative structure is also known as a If-Then structure. A dual-alternative structure is also known as a If-Then-Else structure.

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Answer:

2

Step-by-step explanation:

1+1=2

Option (b) is the correct answer: Perpendicular segments.

Perpendicular rays, perpendicular segments, perpendicular lines, and parallel lines are important concepts in geometry that describe the relationship between lines and line segments.

1. Perpendicular Rays: Perpendicular rays are two rays that intersect at point and form a right angle (90 degrees) at the point of intersection. The rays extend indefinitely in opposite directions from the point of intersection.

2. Perpendicular Segments: Perpendicular segments are line segments that intersect at a right angle. They share a common endpoint but do not extend indefinitely like rays. The right angle is formed at the point of intersection.

3. Perpendicular Lines: Perpendicular lines are lines that intersect at a right angle. They continue indefinitely in opposite directions and form four right angles at the point of intersection. Perpendicular lines are often denoted by a symbol ⊥.

4. Parallel Lines: Parallel lines are lines that never intersect. They remain equidistant from each other at all points. Parallel lines have the same slope and do not converge or diverge. In Euclidean geometry, parallel lines are denoted by a double vertical line symbol (||).

Understanding these concepts is fundamental in geometry as they help define angles, shapes, and spatial relationships. The properties of perpendicular and parallel lines play a crucial role in various geometric theorems and applications.

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The measure of AM is 12

Here, we are to find the measure of AM

Mathematically, the centroid divides the median on which it lies into 2 parts

These parts are usually in the ratio 1 to 2

What this mean is that if we multiply the smaller side by 2, we get the larger side

That would proceed as follows;

Now, the length of the median is the sum of the two parts

Mathematically, that would be;

Answer:

Step-by-step explanation:

You want the solution to the system of equation using the addition method:

We can multiply the first equation by 0.02 and add it to the second:

  0.02(x) +(0.08x +0.02y) = 0.02(y +600) +(470)

  0.10x +0.02y = 0.02y +482 . . . . . . . . . simplify

  0.10x = 482 . . . . . . . . . . . . . . . . . . . . subtract 0.02y

  x = 4820 . . . . . . . . . . . . . . . . . . . . multiply by 10

  y = x -600 = 4820 -600 = 4220

The amount invested at 8% is $4820; the amount invested at 2% is $4220.

__

Additional comment

You will notice that we solved the equations using "addition" by adjusting coefficients so one variable (y) had the same coefficient on each side of the equal sign. That term was then subtracted from both sides, eliminating the variable. The point of the "method of addition" is to eliminate one variable, which is what we did.

More conventionally, we might rearrange the first equation to x - y = 600 before multiplying by 0.02 and doing the addition. That also eliminates the y-variable.

The calculator result shown in the attachment is also a form of elimination by the addition method.

Answer:

its B

Step-by-step explanation:

Answer:

m<H = 62.7°

Step-by-step explanation:

If we use an inverse sin, then that would be sin^-1(8/9) Because Sin equals opposite over adjacent.

Answer:

H = 62.7 degrees

Step-by-step explanation:

Because this is a right triangle, we can use one of the trigonometric functions to find angle H:

Notice that sides HJ and IJ are given. If we are trying to find angle H, then HJ is the hypotenuse (longest side) and IJ is the opposite (side opposite to the angle we are trying to find). Since the opposite and hypotenuse are both given, we can use a sine function to find the angle of H (keep in mind that sin(<) = opp/hyp):

sin(H) = 8/9

We have to use the inverse of sine (sin^-1 or arcsin) to find angle H and use a calculator to solve:

arcsin(8/9) = H = 62.7 degrees

Answer:

a

Step-by-step explanation:

i hope it is b if its not im sorry

9514 1404 393

Answer:

  20√2

Step-by-step explanation:

It is helpful to know your multiplication facts. For simplifying the radicals, you remove the perfect squares:

  \(\sqrt{a^2\cdot b}=a\sqrt{b}\)

__

  \(-3\sqrt{18}+5\sqrt{72}-\sqrt{2}=-3\sqrt{3^2\cdot2}+5\sqrt{6^2\cdot2}-\sqrt{2}\\\\=-3\cdot3\sqrt{2}+5\cdot6\sqrt{2}-\sqrt{2}=(-9+30-1)\sqrt{2}\\\\=\boxed{20\sqrt{2}}\)