Solve the triangle a=38 b=31 and c=35. find
a.
a=43, b=47,c=90

b.
a=50, b=70 c=59.9

c.
a=70, b50.1, c=59.9

d.
a=60, b=70, c=50

The possible rational roots of the equation 3x³ + 9x - 6 = 0 are given as follows:

± 1/3, ± 2/3, ± 1, ± 2, ± 3, ± 6.

To obtain the possible rational zeros of the function, we use the Rational Zero Theroem.

The rational zero theorem states that all the possible rational zeros of a function are given by plus/minus the factors of the constant by the factors of the leading coefficient.

The parameters for this function are given as follows:

The factors are given as follows:

Hence the possible roots are given as follows:

± 1/3, ± 2/3, ± 1, ± 2, ± 3, ± 6.

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The weighted-average unit contribution margin is $46.20.

The weighted-average unit contribution margin can be calculated by multiplying the unit contribution margin of each model by its respective sales mix percentage, and then summing up the results.

To find the weighted-average unit contribution margin, we first calculate the unit contribution margin for each model by subtracting the unit variable costs from the selling price:

For Model A12:

Unit contribution margin = Selling price - Unit variable cost

                     = $60 - $42

                     = $18

For Model B22:

Unit contribution margin = Selling price - Unit variable cost

                     = $120 - $84

                     = $36

For Model C124:

Unit contribution margin = Selling price - Unit variable cost

                     = $480 - $360

                     = $120

Next, we multiply each unit contribution margin by its respective sales mix percentage:

Weighted contribution margin for Model A12 = 60% * $18 = $10.80

Weighted contribution margin for Model B22 = 15% * $36 = $5.40

Weighted contribution margin for Model C124 = 25% * $120 = $30.00

Finally, we sum up the weighted contribution margins:

Weighted-average unit contribution margin = $10.80 + $5.40 + $30.00 = $46.20. Therefore, the weighted-average unit contribution margin is $46.20.

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T test is used to compute the confidence interval, when the mean and standard deviation is given.

What is Standard Deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test

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first, graph the y intercept (red). This is the value of y when x is 0.

next, see if the slope is positive or negative. Positive means it goes upwards as x gets bigger, negative means it goes down. Since the slope is -2, it goes down.

Then, because it's negative 2, go down 2 and over 1 (blue). do this as many times as you like (you need only 2 points but more is a good way to double check)

Last thing is make a line that connects your points (yellow).

Answer:

The solution is (1,4)

Step-by-step explanation:

The cost of one lily is 5 and cost of one ivy is 12.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. Every mathematical equation begins with L.H.S = R.H.S.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

given:

Perry store perry spent $132 on 12 daylilies and 6 post of ivy .

chelsea spent $159 on 3 daylilies and 12 pots of ivy.

let the number of daylilies sold be x.

let the number of ivy sold be y.

So, the equation is

12x+ 6y = 132

2x + y = 22......(1)

3x + 12y = 159

x + 4y = 53....(2)

Now solving (1) and (2)

x= 5

y= 12

hence, cost of one lily is 5 and cost of one ivy is 12.

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Answer:

Upper Right

Step-by-step explanation:

All of them have different dips, therefore the one facing in a different direction must be the odd one out.

Answer:

top right graph

Step-by-step explanation:

3 of the 4 graphs start at negative infinity for negative x, and approach infinity as x approaches infinity.

The top right graph starts at infinity for negative x and approaches negative infinity as x approaches infinity.

Answer: top right graph

The solutions to the equation √(2)x + 13 - 5 = x are:
x = -16 or x = -8.

A quadratic equation is a polynomial equation of the second degree, which means the highest power of the variable (usually represented by "x") is 2. It can be written in the general form: ax^2 + bx + c = 0

where "a," "b," and "c" are constants, and "a" is not equal to 0. The constants "a," "b," and "c" determine the specific coefficients and values of the quadratic equation.

To solve the equation sqrt(2)x + 13 - 5 = x, we need to isolate the variable x on one side of the equation.
First, we can simplify the left side by combining the constant terms:
√(2)x + 8 = x
Next, we can eliminate the square root by squaring both sides of the equation:
(√(2)x + 8)^2 = x^2
Expanding the left side using FOIL, we get:
2x^2 + 32x + 64 = x^2
Subtracting x^2 from both sides, we get:
x^2 + 32x + 64 = 0
Now we have a quadratic equation that we can solve using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = 32, and c = 64. Substituting these values into the formula, we get:
x = (-32 ± √(32^2 - 4(1)(64))) / 2(1)
Simplifying the square root, we get:
x = (-32 ± √(576)) / 2
x = (-32 ± 24) / 2
x = -16 or x = -8.

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The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

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Answer:

y=52 (or 90) - please read the explanation to understand what I mean

x=52

Edit: So basically what happened is that I thought that y was only that one angle, so I did that part of the problem wrong.

This is how it should be done:

We can look at the angles 38 and y. Together, the two angles form a straight angle. So, to find y, do 180-38.

180-38=142

Sorry for the mistake earlier! The diagram wasn't too clear and I thought the y was the one that wasn't the right angle...

Step-by-step explanation:

The measure of all the angles will always add to 360°. We can draw an imaginary circle around all the angles to visualize this. This also means that half a circle will add to 180°.

180 = 38+90+y

= 128+y

y=52

(By the way, if the y was the one with the right angle, it would be 90. You might want to try both, as the picture isn't too clear as to which one it is.)

Now to solve for x, we again see that half of our imaginary circle would add up to 180°. However, we need to choose a half that has more angles. Let's go with the half that has the 38° and the right angle, which equals 90°.

180=38+90+x

=128+x

x=52

I have attached a couple of screenshots so you can hopefully see what I mean by an imaginary circle.

Sorry for the bad handwriting - I'm on a computer right now so I can't really write well....

I hope this is correct and good luck on your homework!

The measure of angle x = 52 degree and angle y = 142 degree.

In the given figure;

The three intersecting lines are given

In which one inclination angle is 38 degree

And second is right angle.

To find value of y

from figure;

y + 38 = 180

⇒ y = 180-38 = 142 degree

To find value of y

⇒  x + 38 + 90 = 108

⇒ x = 52 degree

Hence, x = 52 degree and y = 142 degree.

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Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

Answer:

Step-by-step explanation:

well it  decides  on your parents but yeah tai is right pg 13 means 13 years old and.

TAI IS CORRECT BECUASE PG-13: Parents Strongly Cautioned, Some Material May Be Inappropriate for Children Under 13. This rating is a stronger caution for parents that content included may not be appropriate for children under 13 (pre-teen ages). This may include stronger language, extended violence or sexual situations and drug-use, and sex

Using a trigonometric relation we can see that the angle is 42.49°

We can think of this as a right triangle, sich that we know the two catheti and we want to find one of the angles wich is the angle of elevation of the sun.

With respect to that angle, we have:

Adjacent cathetus = 131 ft

Opposite cathetus = 120ft

Using the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing the values that we know:

tan(a) = 120/131

a = Atan(120/131)

a = 42.49°

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The distance between base of tree and swing set is 24 feet.

We are given the angle of depression and the vertical height. Joining the three points, which are top and base of tree and swing set forms a right angled triangle. The height of tree will be perpendicular of triangle and base will be the distance between base of tree and swing set.

The angle at the swing set will be equal to 30.26°, as alternate angles are equal.

So, the angle formed can be related with perpendicular and base by -

tan theta = perpendicular ÷ base

Keep the values in formula to find the value of base

Base = perpendicular ÷ tan theta

Base = 14 ÷ tan 30.26°

Base = 14 ÷ 0.5834

Performing division

Base = 24

Hence, the distance between  base of tree and swing set is 24 feet.

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Answer: 2.25 per gallon

Step-by-step explanation:

4.50 divided by 2 = 2.25

Answer: 4 apples 10 banana

Step-by-step explanation: 4 apples is 4 dollars + 1/2 of 10 which is 5 = 9

to figure this out I start out adding 1 apple and 1 banana to each side starting with 0 apples and 6 bananas until I got to 9 dollars worth of fruit

1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

Answer:

i dont really know

Step-by-step explanation:

The price goes up by 1 for every 1 day. 2 times the amount as seeds per day.

8 x 2 = 16     8 x 3 = 24.

Answer:

The surface area of the cylinder will be "131.88".

Step-by-step explanation:

The given values are:

Height of cylinder,

h = 4 m

Radius of cylinder,

r = 3 m

As we know,

The surface are of cylinder is:

⇒  \(A_s=2 \pi r(h+r)\)

On substituting the values, we get

⇒       \(=2\times 3.14\times 3(4+3)\)

⇒       \(=18.84\times 7\)

⇒       \(=131.88\)

Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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The quotient of 455 ÷ 36 is 12 with a remainder of 23.

It should be noted that the subtraction of 360 from 455 will be 95.

Then after that 72 is subtracted from 95 and this will be 23.

Therefore, the quotient is 12 with a remainder of 23.

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The requried derivative of the given function is \(F'(x) = 2xe^{x^{14}} - e^{x^7}\).

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol

here,
Given expression,
\(F(x) = \int\limits^{x^2}_x {e^{t^7}} \, dx\)

Following the Leibniz rule
\(F'(x) = \frac{d}{dx}[ \int\limits^{x^2}_x {e^{t^7}} \, dx]\\F'(x) = \int\limits^{x^2}_x \delta/\delta x (e^{t^7}) + (e^{(x^2)^7}) d/dx (x^2) - e^{x^7}d/dx [x] \\F'(x) = 0 + 2xe^{x^{14}} - e^{x^7}\\F'(x) = 2xe^{x^{14}} - e^{x^7}\)

Thus, the requried derivative of the given function is \(F'(x) = 2xe^{x^{14}} - e^{x^7}\).

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