Can someone help me with the answer?

The value of trig in ratios as fraction are, sin X = 45/24 , cos W = 17/8

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now, we can find all the values as;

⇒ sin X = Perpendicular / Hypotenuse

⇒ sin X = 45 / 24

And, we get;

⇒ cos W = Base / Hypotenuse

⇒ cos W = 51 / 24

⇒ cos W = 17 / 8

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Answer:

6

Step-by-step explanation:

85 +12.5*x visits =155

12.5x≥70

x must be greater than 5.6 so she need to go 6 times & then she'll get her free ticket

Answer : 165/2

To do this, we just have to add 82 and 1/2. However, the question asks for an improper fraction, so we turn 82 into 164/2. Now, we add 1/2 to 165/2 which equals 164+1/2 = 165/2.

Answer:

[tex]\huge\boxed{18 + 0i}[/tex]

Step-by-step explanation:

= (3 + 3i)(3 - 3i)

= 3(3 - 3i) + 3i(3 - 3i)

= 9 - 9i + 9i - 9i²

= 9 - 9(-1)

= 9 + 9

In the form a + bi:

[tex]\rule[225]{225}{2}[/tex]

Answer:

100,000,000,000cm

Step-by-step explanation:

there are one hundred billion cm in one billion meters.

Answer:

B)  x + y ≤ 30,000

     x ≥ 8,000

     x ≥ 3y

Step-by-step explanation:

Definition of the variables:

If Tamara has $30,000 and part or all of which she wants to invest into a combination of corporate bonds and municipal bonds, then the sum of the investments in the two bonds will be less than or equal to $30,000:

If Tamara wants to invest no less than $8,000 into corporate bonds, then the amount invested in corporate bonds (x) will be greater than or equal to $8,000:

If Tamara wants to invest at least three times as much into corporate bonds than into municipal bonds, then the amount invested in corporate bonds (x) will be greater than or equal to 3 times the amount invested in municipal bonds (y):

Answer: [tex]5 \text{ cm}^2[/tex]

Step-by-step explanation:

[tex]4 \times 1 \frac{1}{4}=4 \times \frac{5}{4}=5[/tex]

Therefore, the answer is [tex]5 \text{ cm}^2[/tex].

The ordered pairs that satisfies the linear inequality x < - 3 are (-4, -3) and (-3, -3)

A linear inequality is a mathematical statement that describes a relationship between two or more variables that are not necessarily equal. It is similar to a linear equation, but instead of an equal sign, it uses one of the inequality signs: <, >, ≤, or ≥.

A linear inequality can also be represented graphically on a coordinate plane, by shading the region of the plane that satisfies the inequality. The solution set of a linear inequality is the set of all points that make the inequality true.

A linear inequality can also have infinitely many solutions, no solution or a unique solution. The solution set will be a region in a coordinate plane which is a half-plane, a line or a point depending on the inequality.

In the problem, the inequality x < -3 will have an ordered pair of solution of

(-∞, -3).

This implies that all values of x must lies from negative till infinity while y lies up to - 3.

In the options given, only (-4, -3) and (-3, -3) satisfies this criteria.

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Answer:

First choice

y = 3ˣ

Step-by-step explanation:

It is easier if you examine the obviously wrong choices

Choice 2, y = 9x is incorrect because at x = 0, y = 9x should be 0, instead it is 1

Choice 3 , y = 3x is incorrect for the same reason

Choice 4 y = x³ is incorrect because at x = 0, x³ should be 0, instead it is 1

Correct choice is the first one: y = 3ˣ

Let's check:

x = 0,  y = 3⁰  = 1 because any number raised to the power 0 is 1

x = 1, y = 3¹ = 3; because any number raised to the power 1 is 1itself

x = 2; y = 3² = 9 ; so fts

You can test out the rest of the entries yourself

Part (a)

Reason:

There are 7 items inside set A. The notation n(A) counts the number of elements in a set.

==========================================

Part (b)

It's not clear what your teacher is asking. It seems this part is incomplete. Please revise.

Answer:

The appropriate notation to represent the inequality x < 4 is O (-∞, 4)

Step-by-step explanation:

This notation states that x can be any value less than 4.

The other options are:

(-∞0, 4]: This notation states that x can be any value between negative infinity and 4, including 4.

[-∞, 4]: This notation states that x can be any value between negative infinity and 4, including negative infinity and 4.

(-00, 4): This notation is not a valid notation.

(4,00): This notation states that x can be any value greater than 4.

Answer:

Here are the true statements:

The false statement is:

The G-intercept of G(t) represents the total distance the vehicle traveled. The t-intercept of G(t) represents the time it takes the vehicle to run out of gas. (This is not the case, the y-intercept represents the initial amount of gas and the x-intercept represents the time it takes the vehicle to run out of gas)

The graph shows that the x-values increase as the y-values increase, which is consistent with the inequality x+4y ≤ 15. The y-values are all greater than or equal to 0, which is consistent with the inequality y ≥ 0.

Inequality is the unequal distribution of resources or opportunities among different individuals, groups, or social classes. It is a situation in which some individuals or groups have significantly more resources or opportunities than other individuals or groups. Inequality can be seen in terms of income, wealth, social class, access to education and health care, political power, or other factors. Inequality can be caused by systemic oppression and discrimination, or by the unequal distribution of resources within a society. It can have a negative impact on the ability of individuals and groups to meet their basic needs and achieve their full potential.

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The percentage of  mass of Cs in the sample is 25%

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. A percentage, indicates hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

To calculate the percentage of  Cs in the sample

100/400 x 100

=25%

To calculate the percentage of cesium (Cs) in the sample

300/400 x 100

=75%

Hence, 25% is the percentage of  Cs in the sample

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Answer:

There should be 8 of them

- 2 - 3i

- 2 + 3i

2 - 3i

2 + 3i

- 3 - 2i

- 3 + 2i

3 - 2i

3 + 2i

Thanks

absolute value is the real part squared + the complex part squared and the root of the things you get.

|a + ib|

= √(a²+b²)

so the sign doesn't matter

The amount that would be covered by the Insurance Plan would be and the amount that is billed to the patient is  $ 9. 75

The amount that would be covered by the insurance plan in a 85 / 15 coinsurance plan is 85 % of the bill. The amount to be covered by the insurance plan is:

= 85% x 65

= $ 55. 25

The amount billed to the patient is:

= Total bill - covered by insurance plan

= 65 - 55 .25

= $ 9. 75

In conclusion, the amount that would be covered by the insurance plan is $ 55. 25 and the amount to be billed to the patient to be paid by them is $ 9. 75.

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Sara's average speed for the entire race is

3.6 meters per second

The first 50 meters of the race is ran at a constant speed of 4.6 m/s.

Let's compute the time taken for this portion

distance = rate*time

time = distance/rate

time = 50/(4.6)

time = 10.869

It takes approximately 10.869 seconds to run the first 50 meters (at a constant speed of 4.6 m/s).

Add on the other time values from the other sections (10 and 23) to get 10.869+10+23 = 43.869

The entire 200 m race takes about 43.869 seconds.

So Sara's average speed over the entire race is about 200/43.869 = 4.559 which rounds to 4.6 m/s when rounding to one decimal place.

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The vertex form of the equation of the parabola is the quadratic equation y - 3 = - 3 · (x + 4)².

Parabolae are represented by quadratic equations, there are two forms for such equations: (i) standard form, (ii) vertex form. The vertex form of the equation of the parabola is shown below (please notice that parabola is parallel to y-axis when axis of symmetry is a vertical line):

y - k = C · (x - h)²

Where:

If we know that h = - 4, k = 3 and (x, y) = (- 3, 0), then the equation of the parabola in vertex form is:

C = (y - k) / (x - h)²

C = (0 - 3) / [(- 3) + 4]²

C = - 3 / 1²

C = - 3

The equation of the parabola in vertex form is the quadratic equation y - 3 = - 3 · (x + 4)².

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The term that represents the cost of the shoes after the discount is (1 - 0. 025)s. Option D

Algebraic expressions are described as mathematical expressions that consist of factors, constants, variables, terms and coefficients.

They are also made up of arithmetic operations, which includes;

From the information given, we have that there was a 25% discount on all the shoes Declan bought

Given the expression;

c + ( 1 - 0.25)s + 0. 08[c + (1 -0.25)s ]

expand the bracket

c + s - 0. 25s + 0. 08( c - s - 0. 25s)

expand the parentheses

c + s - 0. 25s + 0. 08c - 0. 08s - 0.02

But for the cost of the shoes after the 25% discount, we have;

(1 - 0. 025)s

Hence, the expression is (1 - 0. 025)s

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The solution to the expression 5 2 (3x4) divided by 3-5 is -312

Fractions are simply described as part of a whole number or variable.

There are different types of fraction which includes;

PEMDAS is a mathematical acronym used to give the order of operations to be followed in solving expressions.

It stands for;

Given the expression;

52(3×4)/3 - 5

expand the parentheses

52(12)/-2

624/-2

Divide the values

-312

Hence, the values is -312

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Using the given information, the measure of angle AEB is 62

From the question, we are to determine the measure of angle AEB

From the given information, we have that

Angle A = 86°

Angle C = 110°

Angle D = 40°

First, we will calculate the measure of angle B

A + B + C + D = 360°

86 + B + 110 + 40 = 360 (Sum of angles in a quadrilateral)

B + 236 = 360

B = 360 - 236

B = 124

∴ Angle ABC = 124

Then,

Angle ABC is bisected

Therefore,

Angle AEB = 1/2 × 124

Angle AEB = 62

Hence, angle AEB is 62

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Answer:

Step-by-step explanation:

It has to be option D by looking at the question.

It says, that it is $5.50 per hour for kids.

If x is the hours, then total cost spent just for the kid will be $5.50x

It also says there is a flat $3 admission. So just add that to the equation.

$5.50x + 3 ≤ 20.

20 ( given)

Thanks

The side length of the triangle AC and BC will be 72 and 31. Then the correct option is A.

The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.

The sine law in the triangle ΔABC is given as,

AB / sin C = BC / sin A = AC / sin B

In triangle ABC, ∠A = 25°, ∠C = 55° and AB = 60. Then the third angle is given as,

∠A + ∠B + ∠C = 180°

25° + ∠B + 55° = 180°

∠B = 100°

Then the length of BC is given as,

60 / sin 55° = BC / sin 25°

BC = 30.955

BC ≈ 31

Then the length of AC is given as,

60 / sin 55° = AC / sin 100°

AC = 72.134

AC ≈ 72

The side length of the triangle AC and BC will be 72 and 31. Then the correct option is A.

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Answer:

Pythagorean theorem:

[tex]a ^{2} + b ^{2} = c^{2} [/tex]

[tex]2 ^{2} + 11 ^{2} = c^{2} [/tex]

2×2=4 11×11=121

4+121=125

[tex]c = \sqrt{125} [/tex]

Answer:

m∠10 = 41°

Step-by-step explanation:

If ∠9 and ∠10 are complementary. Then ∠7 and ∠8 are complementary as well. Complementary angles meameansns they sum up to 90 degrees.

m∠7 + m∠8 = 90

m∠7 + 41 = 90

m∠7 = 90 - 41 = 49°

Given that m∠7 ≅ m∠9. So m∠9 = 49° and m∠10 = 41°.

The given angle 2.59 radian into degree is 148.40°.

What is radian and degree?

While a radian is another unit of measurement that is used to measure angles, a degree is a unit of measurement that is used to measure circles, spheres, and angles. The radian, or one pi radian, is only half the diameter of a circle, which has 360 degrees, or its entire area.

Given:

The angle in radian is 2.59.

We have to convert this angle into degree.

Since, the formula to convert angle θ from radian to degree is,

Radian = [tex]\frac{180}{\pi }[/tex] degree

= 2.59 x (180/π)

= 148.40°

Hence, the given angle 2.59 radian into degree is 148.40°.

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a) The increasing line y = 2x is plotted on the graph given at the end of the answer.

b) The horizontal line y = 3 is plotted on the graph given at the end of the answer.

c) The point of intersection of the two graphs is given as follows: (1.5, 3).

The increasing line is given as follows:

y = 2x.

Hence we plot a few points of coordinate (x,y), from the numeric values of the function, and connect them through a line.

The numeric values of the function are given as follows:

The horizontal line is given as follows:

y = 3.

Meaning that a single horizontal line through y = 3 is traced, for which we are going to use the same domain as the increasing line.

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The equation perpendicular to the line is y= −1/2 x. Therefore, option B is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

In the given graph, the coordinates are (2, 3) and (0, -1)

Slope m=(-1-3)/(0-2)

= -4/(-2)

m=2

Substitute m=2 and (x, y)=(2, 3) in y=mx+c, we get

3=2(2)+c

c=-1

Substitute m=2 and c=-1 in y=mx+c, we get

y=2x-1

Find any equation perpendicular to the line.

y= −1/2 x

Therefore, option B is the correct answer.

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Answer: the probability that a student chosen at random plays the bass is 1/3 in simplest form.

Step-by-step explanation:

The probability of an event can be found by taking the number of favorable outcomes and dividing it by the total number of outcomes. In this case, we are looking for the probability that a student chosen at random plays the bass.

We know that there are a total of 6 + 4 + 7 + 2 = 19 seventh grade students and 4 + 15 + 13 + 6 = 38 eighth grade students. So there are a total of 19 + 38 = 57 students.

We also know that there are 4 seventh grade bass players and 15 eighth grade bass players, for a total of 4 + 15 = 19 bass players.

So, the probability that a student chosen at random plays the bass is 19/57. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor which is 19/57 = 1/3.

So, the probability that a student chosen at random plays the bass is 1/3 in simplest form.