Julian wants to use a sheet of fiberboard 19 inches long to create a skateboard ramp with a 16° angle of elevation from the ground. How high will the ramp rise from the ground at its highest end?

Answer: For every ticket sold, 52$ is made, 1 : 52

Step-by-step explanation:

y = mx

rise/run  

208/4,  m = 52

The proportion is that for every ticket sold, 52 $ is made.

1 : 52

My friend is multiplied as \((8\times3)\times(0.1\times0.1)(8\times 3)(0.1\times0.1)\) thus he was multiplying 0.1 with 0.1.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied.

As per the given,

(8 × 3) × (0.1 × 0.1) × (8 × 3) × (0.1 × 0.1)

Since the only decimals in the above expression are 0.1 and 0.1.

Thus, 0.1 x 0.1 = 0.01

So, he was multiplying 0.1 with 0.1.

Hence "My friend was multiplying 0.1 with 0.1 because his multiplicand is  (8 × 3) × (0.1 × 0.1) × (8 × 3) × (0.1 × 0.1)".

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Answer:

22 is the jsksnenekeond snLL

Answer: The answer is B

Step-by-step explanation:

Answer: 11x+35

Step-by-step explanation:

This is the solution to the nonhomogeneous system y'=\([ -4 -5 ] y' + [ -3e^t ]5 2 4e^ta.\)

First, let's find the fundamental matrix for the homogeneous system:

\(y' = [ -4 -5 ] y' + [ -3e^t ]5\)

The characteristic equation of this system is:

\(λ^2 - 4λ + 5 = 0\)

Solving for λ, we get:

\(λ = 1 ± sqrt(5)\)

So the eigenvalues of the system are 1 and 2. The eigenvectors are:

y1 = [ 1 0 ]

y2 = [ 1 1 ]

The fundamental matrix for the homogeneous system is:

F = [ P₁P₂]

where P₁ = I - λy1 and P ₂= I - λy2.

Now, let's compute the inverse of the fundamental matrix:

P^-1 = [ \((P1^-1)P2^-1\) ]

where\(P₁^-1\)and \(P₂^-1\) are the inverses of P₁ and P₂, respectively.

To compute the inverses, we can use the formula:

\(P₁^-1 = 1/det(P₁) [ P₁^-1 * P₁ * P₁^-1 ]\)

where det(P₁) = \((1 - λ^₂)^(-1) = (1 - 1^2)^(-1) = 1\)

\(P₂^-1 = 1/det(P₂) [ P₂^-1 * P₂ * P₂^-1 ]\)

where det(P₂) =\((1 - λ^2)^(-1) = (1 - 2^2)^(-1)\) = 2

Therefore, the inverse of the fundamental matrix is:

\(P^-1 = [ (1/det(P₁)) * (P1^-1 * P2^-1) ]\)

=\([ (1/1) * (I - λy1 * I - λy2 * I) ]\)

= [ (1 - λ) * I - λ * y1 - λ * y2 ]

Now, we can multiply by g(t) = \(e^(2t)\) and integrate to get the solution to the system:

y(t) = \(P^-1 * g(t) * [ F * y0 ]\)

where y0 = [ 1 0 ]

Substituting the values of P^-1, we get:

y(t) = [ (1 - λ) * I - λ * y1 - λ * y2 ] * [ [ -4 -5 ] * [ 1 0 ] + [ -\(3e^t\)]5 2 \(4e^ta\) ]

y(t) = [ (1 - λ) * I - λ * y1 - λ * y2 ] * [\(-4 -5e^t - 3e^2t\) ]

y(t) = [ (1 - λ) * I - λ * y1 - λ * y2 ] * [ \(-5 -25e^t - 30e^2t\) ]

y(t) = [ (1 - λ) * I - λ * y1 - λ * y2 ] * [ \(-50 -125e^t - 375e^2t\) ]

y(t) = [ (1 - λ) * I - λ * y1 - λ * y2 ] * [ \(-500\)-\(1875e^t\) -\(5625e^2t\) ]

y(t) = [ (1 - λ) * I - λ * y1 - λ * y2 ] * [ \(-5000 -13125e^t - 265625e^2t\) ]

This is the solution to the nonhomogeneous system y'=\([ -4 -5 ] y' + [ -3e^t ]5 2 4e^ta.\)

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Answer:

1/4 is your answer.

Step-by-step explanation:

The fraction 1/4 will let Edna find the x-coordinate for point H.

When the point is (x, y) and the two ends of the segment are (x1, y1) and (x2, y2), the following equation can be used:

x = x1 + [m / (m + n)] × (x2 - x1)

y = y2 + [m / (m + n) ] × (y2 - y1)

m:n is the ratio in which the point divides the line.

It is given that point H divides the line FG into two at the ratio of 1:3, where F and G are at (4, 9) and (7, 2) respectively.

Therefore, m = 1 and n = 3.

We can now use this to find the fraction. It is known that the formula for finding the fraction is m/m+n. Therefore, the fraction is:

m/m+n = 1/1+3

= 1/4

This is the fraction that can be used to find the coordinates of H. The fraction is 1/4.

Thus, we have found the fraction 1/4 will let Edna find the x-coordinate for point H. The correct answer is option A.

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The dollar cost of meeting the yen obligation using a money market hedge is approximately $2,743,197.89.

To calculate the dollar cost of meeting the yen obligation using a money market hedge, we need to consider the forward exchange rate, interest rate differentials, and the time period involved.

First, let's convert the yen obligation into USD using the spot exchange rate:

¥270 million / 106 USD/JPY = $2,547,169.81

Next, let's calculate the interest earned on the USD investment in the U.S. for six months:

Interest earned in the U.S. = $2,547,169.81 * (4.0% / 2)

= $50,943.40

Now, let's calculate the interest paid on the yen borrowed in Japan for six months:

Interest paid in Japan = ¥270 million * (1.4% / 2)

= ¥1,890,000

Next, let's calculate the forward exchange rate adjusted for interest rate differentials:

Adjusted forward rate = Forward rate * (1 + Foreign Interest Rate) / (1 + Domestic Interest Rate)

= 101 * (1 + 0.014) / (1 + 0.04)

= 101 * 1.014 / 1.04

= 98.4904

Finally, let's calculate the dollar cost of meeting the yen obligation using the adjusted forward rate:

Dollar cost = ¥270 million / Adjusted forward rate

= ¥270 million / 98.4904 USD/JPY

= $2,743,197.89

The dollar cost of meeting the yen obligation using a money market hedge is approximately $2,743,197.89.

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synonym: a word of opposite meaning

contrast:  to show noticeable differences

Answer:

x=84/25

Step-by-step explanation:

4/7=12/x -3

1. Add 3 to both sides of the equation

4/7+3=12/x- 3+3

2. Simplify

25/7=12/x

3. Multiply all terms by the same value

x . 25/7 =x . 12/x

4. Simplify

25x/7=12

5. Multiply all terms by the same value

7 . 25x/7= 7 . 12

Solution: x=84/25

Answer:

\(\displaystyle 93,5\:in.^2 \approx A\)

Step-by-step explanation:

\(\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}\)

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

55x + 165 = 1375

so just add 55 till you get there

22

Answer:

equilateral

Step-by-step explanation:

all sides are even to each other

Answer: Equilateral triangle

Step-by-step explanation: This is because it has 3 equal sides

Herman's final position, relative to ground level is 9 feet under ground

From the question, we have the following parameters that can be used in our computation:

Initial position = 6 feet under ground

Movement = 14 feet up and 11 feet down

This means that

Movement = 14 - 11

Movement = 3

So, we have

Final position = -6 feet - 3 feet

Evaluate

Final position = -9 feet

Hence, the final position is 9 feet under ground

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Answer:

(4, 5)

Step-by-step explanation:

Add the two x values and divide by two, add the two y values and divide by two. Then put them in brackets and those are your coordinates.

The true statements among the given options are written below

bc || ad

ba ≅ cd  

∠cba ≅ ∠bcd

In an isosceles trapezoid, there is one pair of legs of equal length and a pair of parallel lines.

Given that quadrilateral abcd is a isosceles trapezoid.

In the given trapezoid abcd

bc || ad ( pair of parallel sides )

So this is correct.

ba ≅ cd  ( For an isosceles trapezoid legs are equal)

So this is correct

∠cba ≅ ∠bcd (According to  the property of isosceles  trapezoid )

So this is correct.

Hence, bc || ad, ba ≅ cd, ∠cba ≅ ∠bcd are correct

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The value of sin(θ) is approximately 0.921 and the value of cos(θ) is approximately 0.391.

To find the value of each variable using sine and cosine, we need to set up a right triangle with the given information. Let's label the sides of the triangle as follows:

Using the Pythagorean theorem, we can find the length of the hypotenuse:

h2 = s2 + t2

h2 = 31.32 + 13.32

h2 = 979.69 + 176.89

h2 = 1156.58

h = √1156.58

h ≈ 34.0

Now that we know the length of the hypotenuse, we can use sine and cosine to find the values of the variables:

sin(θ) = s / h

sin(θ) = 31.3 / 34.0

sin(θ) ≈ 0.921

cos(θ) = t / h

cos(θ) = 13.3 / 34.0

cos(θ) ≈ 0.391

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The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer:

c

Step-by-step explanation:

x³ - y³ ← is a difference of cubes and factors as

x³ - y³ = (x - y)(x² + xy + y²)

Given

\(\frac{x}{y}\) + \(\frac{y}{x}\) = - 1

Multiply through by xy to clear the fractions

x² + y² = - xy ← substitute into second factor of expansion

x³ - y³ = (x - y)(- xy + xy) = (x - y) × 0 = 0 → c

Answer:

The answer is C. 0

Step-by-step explanation:

since

\( \frac{x}{y} + \frac{y}{x } = - 1\)

we multiply both sides by xy to cancel their denominators and multiply -1 by xy

so we have

\(xy( \frac{x}{y}) + xy( \frac{x}{y} ) = xy \times - 1\)

we get our answer as

\( {x}^{2} + {y}^{2} = - xy\)

we were given the difference of cubes that is

\( {x}^{3} - {y}^{3} \)

which is =

\((x - y)( {x}^{2} + xy + {y}^{2} )\)

so since,

\( {x}^{2} + {y}^{2} = - xy\)

we substitute,

\((x - y)( - xy + xy) = (x - y)(0) = 0\)

Answer:

44° and 99°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Subtract the 2 given angles from 360° to find the remaining sum

360° - (63 + 154)° = 360° - 217° = 143°

The 2 angles which sum to 143° are in the ratio 4 : 9

sum the parts of the ratio, 4 + 9 = 13 parts , then

143° ÷ 13 = 11° ← value of 1 part of the ratio, so

4 parts = 4 × 11° = 44°

9 parts = 9 × 11° = 99°

The other 2 angles are 44° and 99°

Answer:

x = 8

Step-by-step explanation:

Measure of unknown angle 'y' = 180° - 71° (linear pair of angles)

                                                   = 109°

Formula for the interior angle of a polygon = (n - 2) × 180°

Here n = number of sides of the polygon

Therefore, sum of the interior angles of the given polygon = (4 - 2) × 180°

                                                                                                  = 360°

(10x + 6) + (13x - 2) + (8x - 1) + y = 360°

(10x + 13x + 8x) + (6 - 2 - 1) + 109 = 360

31x + 3 + 109 = 360

31x + 112 = 360

31x = 360 - 112

31x = 248

x = 8

Answer: 88

Step-by-step explanation: since its a circle u times the diameter of the cloth by 3.14 which is 87.92 so you round it to 88

Answer:

a = - 1/2b + 1/6w + 2/3

Step-by-step explanation:

w= 3(2a+b) - 4

Add 4 on both sides.

w + 4 = 3(2a+b)

Divide 3 into both sides.

w/3 + 4/3 = 2a+b

Subtract b on both sides.

w/3 + 4/3 - b = 2a

Divide 2 into both parts.

w/3/2 + 4/3/2 - b/2 = a

a = w/6 + 4/6 - b/2

a = 1/6w + 2/3 - 1/2b

Answer:

a=(w-3b+4)/6

Step-by-step explanation:

w= 3(2a+b) -4

w=6a+3b-4

6a= w-3b+4

a=(w-3b+4)/6

Answer:

3/4

Step-by-step explanation:

We need two points to find the slope

( 20,20) and (60,50)

m = (y2-y1)/(x2-x1)

   = (50-20)/(60-20)

   = 30/40

   = 3/4

Answer:

No.

Step-by-step explanation:

An input can't have 2 outputs. But, an output can have an 2 inputs.

Hope this helped!

Answer: 19

Step-by-step explanation:

The chord joining the vertices of an ellipse is called the major axis, and its midpoint is the center of the ellipse.

The major axis of an ellipse is the chord that passes through the two vertices of the ellipse. It is the longest chord and its length is equal to twice the length of the semi-major axis of the ellipse. The midpoint of the major axis is the point that divides the major axis into two equal segments, and it coincides with the center of the ellipse. The center of the ellipse is the point of intersection of the major and minor axes, and it is equidistant from all points on the ellipse.

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Answer:

A

Step-by-step explanation:

Because it can only lift 2,200 pounds and that means it can lift 2,200 - 0 Pounds

Answer:

21 and 16

Step-by-step explanation:

x= big number

x`-5 = small number

x + x-5 = 37

2x-5 =37

2x= 42

x = 21

       21-5 = 16

21+16 = 37

If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The fraction is the division of the two numbers but the division is not wholly complete.

A fraction x/y has two terms x is called a numerator and y is the denominator.

An improper fraction is a fraction when x ≥ y.

Therefore, 6 1/7 = 6 + 1/7

⇒ (42 + 1)/7 = 43/7

Since 43 > 7 so it will be an improper fraction.

Hence "If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper".

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