Enter the value of 5/6 + (- 4/9) - (-2)

Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.

Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

\(Sin \theta = \dfrac{opposite}{hypothenuse}\)

∴

\(Sin (53^0) = \dfrac{4}{x}\)

Making x the subject of the formula:

\(x = \dfrac{4}{Sin \ 53^0}\)

\(x = \dfrac{4}{0.7986}\)

\(x \simeq 5\)

Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.

Recall that:

\(Cos \theta = \dfrac{adjacent}{hypothenuse}\)

\(Cos \ 53^0 = \dfrac{y}{x}\)

where; x = 5

\(Cos \ 53^0 = \dfrac{y}{5}\)

Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:

cos(53°) = StartFraction y Over 5 EndFraction

Answer:

simple answer B

Step-by-step explanation:

Answer:

1) This is a 30°-60°-90° right triangle.

2) Let x be the length of the shorter leg, and y be the length of the longer leg.

3) I will solve for the lengths of each leg.

4) x = 3 since the length of the shorter leg is one-half the length of the hypotenuse. y = 3√3 since the length of the longer leg is √3 times the length of the shorter leg.

The probability that a person who tested positive for HIV actually has the virus is approximately 13.2%.

To determine the likelihood that a person who tested positive for HIV actually has the virus, we can use Bayes' theorem:

P(HIV|+) = P(+|HIV) * P(HIV) / [P(+|HIV) * P(HIV) + P(+|not HIV) * P(not HIV)]

where:

P(HIV|+) is the probability of having HIV given a positive test result

P(+|HIV) is the probability of testing positive given that the person has HIV (95%)

P(HIV) is the prevalence of HIV in the population (0.008)

P(+|not HIV) is the probability of testing positive given that the person does not have HIV (5%)

P(not HIV) is the complement of the prevalence of HIV (1 - 0.008 = 0.992)

Plugging in the values, we get:

P(HIV|+) = 0.95 * 0.008 / [0.95 * 0.008 + 0.05 * 0.992] = 0.132

Therefore, the probability that a person who tested positive for HIV actually has the virus is approximately 13.2%. This means that there is an 86.8% chance that the person who tested positive does not have HIV. It is important to note that this calculation only provides an estimate of the probability and should not be used as a definitive diagnosis. Further testing and evaluation by a healthcare professional is necessary to confirm whether or not a person has HIV.

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The intervals for which Theorem 1 guarantees the existence of a solution in the given differential equations are discussed.

Theorem 1, mentioned in the problem, provides conditions for the existence of a solution to a given differential equation. The intervals for which the theorem guarantees the existence of a solution depend on the specific equation and its properties.

For equation (a), the theorem guarantees the existence of a solution for all x > 0. This means that any positive value of x will have a corresponding solution satisfying the given equation.

For equation (b), the theorem guarantees the existence of a solution for all x in the interval (-∞, ∞). This indicates that the solution exists for any real value of x.

The intervals of existence provided by Theorem 1 ensure that there is at least one solution to the given differential equations within those intervals. However, the theorem does not provide information about the uniqueness or the specific form of the solution. Further analysis and techniques may be required to determine the exact solution or additional properties of the solutions.

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Answer:

you can fit 8 blankets in the 18 by 18 by 18 box

Step-by-step explanation:

Answer: 8 blankets.

Step-by-step explanation: The total volume of the moving box is (18)³ = 5,832 cubic inches. Since each blanket takes 686 cubic inches, the box will hold \(\frac{5,832}{686}\) ≈ 8.5 or 8 blankets.

I uploaded a picture. Does it help??

Answer:

1/2 OF 14 =7

21/7 = 3

Step-by-step explanation:

8 is the value of x in parallel lines.

With an example, what is a parallel line?

Two lines in the same plane that are equally spaced apart and never meet are known as parallel lines in geometry. They can be either vertical or horizontal.

                      Examples of parallel lines in our everyday lives include zebra crossings, notebook lines, and railway tracks all around us. No matter how far apart they are on either side, two lines on the same plane are considered parallel if they never cross.

given

      m ║n

 8x - 10 + 126 = 180°

  8x + 116 = 180°

  8x  = 180° - 116

    8x = 64

      x = 64/8

       x = 8

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Answer:

you find the gcf/ greatest common factor of both numbers which is 6, so 6 plastic containers

Step-by-step explanation:

Answer: The are of square 3 is 9cm

the area of square = a^2

= 3 ^2 = 9

Step-by-step explanation:

The linear independence of vector sets forms the basis of the space of polynomials of third degree.

In vector space theory, a collection of matrices is said to be heavily dependent if there is a nontrivial concatenation of the vectors that equal the zero vector. If no such linear combination exists, the vectors are said to be linearly independent. These concepts are crucial to the concept of dimension.

The maximum number of nonzero vectors determines whether the dimensions of a vector space are finite or infinite. The capacity to recognize whether a subset of columns in a vector space is dependent, as well as the concept of linear dependence, are crucial for determining a vector space's dimensionality.

If the same vector appears twice in a vector sequence, it must be dependent. The linear dependency of a vector series is independent of the order of the terms. A restricted collection of vectors can have linear independence if the sequence obtained by sorting a finite number of lines is linearly independent. In other words, the following outcome is frequently useful.

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Answer:

3

Step-by-step explanation:

Answer:

B and C represent it.

Step-by-step explanation:

If Andre babysat 5 times and earned the same amount each time then it would be represented by the five rectangles with W on them.

If Andre got a $4 tip at the end of the month then it would be represented by the small 4 rectangle at the end.

If Andre made a total of 99 dollars then the large grouping 99 at the top would represent that.

If a family of 5 went to a concert in which all tickets costed the same then it would be represented by the five rectangles with W on them.

If they paid $4 for parking then it would be represented by the small 4 rectangle at the end.

If they spent a total of 99 dollars then the large grouping 99 at the top would represent that.

Step-by-step explanation:

75:100=x:300

x=75×300/100=225

The inequality that represents this scenario is 0.08B >= 57.

To get the promotion, Carolina needs to spend at least $75 on paintballs and the entrance fee. The entrance fee is a fixed cost of $18, so we need to find the number of paintballs that Carolina needs to buy in order to reach a total cost of $75 or more.

The cost of the paintballs is calculated using the formula 0.08B, where B is the number of paintballs that Carolina buys. We can use this formula to write an inequality that represents the scenario described in the problem.

The total cost of the paintballs and the entrance fee is calculated using the formula 0.08B + 18. This formula represents the total cost of the paintballs and the entrance fee for any number of paintballs that Carolina buys.

To find the number of paintballs that Carolina needs to buy in order to reach a total cost of $75 or more, we can set the total cost equal to $75 and solve for B:

0.08B + 18 >= 75

0.08B >= 57

B >= 712.5

The inequality 0.08B >= 57 represents the scenario described in the problem. It states that the number of paintballs that Carolina needs to buy in order to reach a total cost of $75 or more is greater than or equal to 712.5.

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The question is -

Carolina goes to a paintball field that charges an entrance fee of $18 and $0.08 per ball. The field has a promotion that says, "Get $10 off if you spend $75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion, Let B represent the number of paintballs that Carolina buys. What inequality describes this scenario?​

If the angles are ∠1 = 2x + 4 and ∠2 = 3x - 3, then m∠TRS =  36°.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The measure of ∠1 = 2x + 4

The measure of ∠2 = 3x - 3

The measure of ∠TRS is -

∠TRS = ∠1 + ∠2

Since, PR is a bisector then ∠1 = ∠2.

The equation is -

2x + 4 = 3x - 3

2x - 3x = - 3 - 4

-x = -7

x = 7

Substitute the value of x in the angles -

∠1 = 2(7) + 4

∠1 = 14 + 4

∠1 = 18°

∠2 = 3(7) - 3

∠2 = 21 - 3

∠2 = 18°

So, the value of ∠TRS is -

∠1 + ∠2

18° + 18°

36°

Therefore, the measure of ∠TRS is 36°.

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Angle L can be calculated as follows:

angle L = angle - 180 LMO stands for angle. MNO \sangle L = 180 - 150 - 30 degree angle L = 0

As a result, angle L is 0 degrees.

1. We know that sides AB and CD of trapezoid ABCD are parallel. We can use the tangent function to find the length of side AD because angle B is a right angle and angle ABD is 45 degrees:

AD/AB = tan(45)

AD=AB * tan(45) AD=AB

As a result, AD = 10.

2. We know that the sides PQ and RS of the trapezoid PQRS are parallel. We can use the sine function to find the length of side PS because angle Q is a right angle and angle PSQ is 60 degrees:

PS/QS sin(60) =

PS = sin * QS (60)

5 * sqrt = PS (3)

As a result, PS = 5*sqrt (3).

3. We know that the sides UV and WX of a trapezoid UVWX are parallel. We can use the cosine function to find the length of side WU because angle V is a right angle and angle WVU is 30 degrees:

WU/UV cos(30) =

UV * cos WU (30)

5 * sqrt(3) / 2 = WU

As a result, WU = (5/2)*sqrt (3).

4. We know that the sides LM and NO of the trapezoid LMNO are parallel. We can use the sine function to find the length of side MO because angle L is a right angle and angle MNO is 30 degrees:

MO/NO sin(30) =

MO = 4 / 2 MO = NO * sin(30)

As a result, MO = 2.

Because angles MNO and LMO add up to 180 degrees, we can calculate angle LMO as follows:

LMO angle = 180 - angle LMO MNO angle = 150 degrees

Finally, because angle N is a right angle, we can calculate angle L as follows:

angle L = angle - 180 LMO stands for angle. MNO\sangle L = 180 - 150 - 30 degree angle L = 0

As a result, angle L is 0 degrees.

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Answer:

Do it your self

Step-by-step explanation:

Answer:

use theorem of Pythagoras

Answer:

I'm pretty sure that it's (1,11).

Step-by-step:

First I converted 2x-y=-6 to y=mx+b.

y=2x+6

Then I looked at the other equation, y=3x+8. If you rise three, you get 11 on the y axis. Then you run (move right) one. I got the point (1,11). I don't believe that's a solution to the second problem. I'm really sorry if I'm wrong, I might've mis-interrupted what the question wanted me to do.

Answer:

144

Step-by-step explanation:

The simplified equation would be 4x2x3x3x2 and that put into a calculator is 144

1. The value of (-g)(x) is \(-x^2 + 3x - 3\).

Thus, option (d) is correct.

2. The domain is all real numbers or in interval notation: (-∞, ∞).

Given Function: f(x) = 2x -1 and g(x) = \(x^2 + x - 2\)

Now, simplify the expression by distributing the negative sign:

(-g)(x) = \(-x^2 - x + 2\)

Therefore, the simplified expression is \(-x^2 + 3x - 3\).

Thus, option (d) is correct.

2. Given function: f(x) = 3 (x-4)

The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a real output.

In this case, consider any restrictions on x that would make the expression 3(x - 4) undefined.

The function f(x) = 3(x - 4) is defined for all real numbers because there are no restrictions or divisions by zero involved.

Therefore, the domain is all real numbers.

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The question attached here is in incorrect form, the correct form is:

1. Let f(x) = 2x -1 and g(x) = \(x^2 + x - 2\). What is ( - g)(x) equal to?

Select one: a. \(-x^2 + x +1\)

b. \(x^2 + 3x - 3\)

c. \(2x - 1 - x^2 + x - 2\)

d. \(-x^2 + 3x - 3\)

2. Find the domain of f(x) = 3(x - 4).

Answer:

78.55 Square yards

Step-by-step explanation:

Given data

Diameter= 10 yards

Radius= 5 yards

Area of the Banner

Area= πr^2

Area= 3.142*5^2

Area= 78.55 Square yards

Perimeter

C=  2πr

C= 2*3.142*5

C= 31.42 yards

In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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Answer:

\(x > -5\)

Step-by-step explanation:

Flip the equation over- \(10x+16 > 9x+11\)

Now do \(10x-9x=x\)

So the equation now looks like this \(x+16 > 11\)

Now subtract 16 from both sides to give you the answer \(x > -5\)

Answer: \(x > \Large\boxed{-5}\)

Step-by-step explanation:

Given inequality

\(9x+11 < 10x+16\)

Subtract 9x on both sides

\(9x+11-9x < 10x+16-9x\)

\(11 < x+16\)

Subtract 16 on both sides

\(11 -16 < x+16-16\)

\(-5 < x\)

\(x > \Large\boxed{-5}\)

Answer:b

Step-by-step explanation:

14

Here is your Answer !!!

HOPE IT HELPS :)

Answer:

1  37/120

Step-by-step explanation:

a. The linear equation is -75x+700 which represents the situation.

b. The slope represents the rate of change in the amount owed.

c. The y-intercept represents the amount that Jeremy borrowed from his dad.

What is a linear equation?

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. The general form is y=ax+b, where a is the slope and b is the y-intercept.

a. We know that general form of an equation is y=ax+b.

So, after substituting (0,700) and (8, 100) into y=ax+b, we get,

700= 0+b

b=700

100=8a+700

a=-75

Hence, the linear equation is -75x+700 which represents the situation.

b. The slope represents the rate of change in the amount owed.

c. The y-intercept represents the amount that Jeremy borrowed from his dad.

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Answer:

c

Step-by-step explanation:

The A 5 gallons of water will pour through the hose in 8 minutes.

The formula to be used for calculation of amount of water pouring through hose :

Total amount of water = amount of water pouring per minute × amount of time (in minutes)

Keep the values in formula to find the total amount of water

Total amount of water = 2.5 × 8

Performing multiplication on Right Hand Side of the equation

Total amount of water = 20 quarts

Now performing unit conversion

Amount of water in gallon = amount of water in quarts × 0.25

Amount of water in gallon = 20 × 0.25

Amount of water = 5 gallon

Hence, the correct answer is A 5.

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