Find the perimeter of an ellipse if the major axis is 30mm and the minor axis is 12mm. round off your answer to the nearest whole number

Answer:

B. B and C

Step-by-step explanation:

I calculated it logically

Answer:

The answer would be a. G and C.

Step-by-step explanation:

When calculating G/C, 329/261.6= 1.49847 rounded.

We are looking for the closest integer ratio to that number which is 3 to 2. A 3/2 ratio =1.5 which is as close to 1.49847 as you are going to get with a ratio. Hope this helps!

Answer:

92170

I hope it's helps you

Answer:

$52.79

Step-by-step explanation:

$48.88 + 8% = $52.79

Answer:

22

Step-by-step explanation:

So, first, we can find out how many home runs the coach hits in one game

So, 18 home runs in 9 games, so we can do 18 ÷ 9=2

So, he hits 2 home runs per game

But, we have to find for 11 games

So, we do 2*11(Runs times number of games) and get 22

Hope this clarified

( I wouldn't mind brainlest but only if you want to ! )

Answer:

\(r=160-12m\)

Step-by-step explanation:

Heart rate will be represented by \(r\), minutes will be represented by \(m\).

Here's the equation I came up with:

\(r=160-12m\)

We can also rearrange it to look like a point-slope equation. Either way works, it's the same equation.

\(r=-12m+160\)

This works because her heart rate is decreasing by a constant value. The initial heart rate is like the y-intercept, while the amount that it decreases by is the slope.

I hope this helps!

The equation is y=160-12t where t is the time in minutes.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here, After sprinting, Emilie has a heart rate of 160. As

she cools down, her heart rate falls by 12 beats therefore, we can form the equation as if the time  is t minutes of cooling down then we can the heartbeat at a given time as y=160-12t

Hence, the equation is y=160-12t where t is the time in minutes.

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u=76

Answer:

solution given:

\(\sqrt {u+5}=9 \)

in order to remove square root we need to square both side so

\((\sqrt {u+5})^2=9^2 \)

u+5=81

u=81-5

u=76

The answer is 0.064

In order to get to the next term, look to see by what number the sequence is increasing.

In this case, each number is doubling in size, which means multiplying each number by 2.

Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

sum is the answer to addition problem.

less than is subtraction and "times" is multiplication.

So we have

3x+2=5x-4

So the answer is C.

Also, i'm bored so imma solve it.

3x+2=5x-4

    -2      -2

3x=5x-6

-5x -5x

-2x=-6

/-2   /-2

x=3

---

hope it helps

Answer:

A.80is the answer or not

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

Answer:

Step-by-step explanation:

this is hard maybe ask your mom

\( \qquad \qquad \rm \large \dag \: Answer \: \dag\)

We have been given a Quadratic equation, where we have to find the real values of x ~

So, let's proceed with middle term splitting method :

\(\qquad \sf  \dashrightarrow \: {x}^{2} + 5x - 6 = 0\)

\(\qquad \sf  \dashrightarrow \: x {}^{2} + 6x - x - 6 = 0\)

\(\qquad \sf  \dashrightarrow \: {x(}^{} x + 6) - 1(x + 6) = 0\)

\(\qquad \sf  \dashrightarrow \: (x + 6)(x - 1) = 0\)

Now, we have two conditions here~

Either (x + 6) = 0

\(\qquad \sf  \dashrightarrow \: x = - 6\)

or (x - 1) = 0

\(\qquad \sf  \dashrightarrow \: x = 1\)

Answer:

When the function is to be reflected over the x and y-axis, we write it as a reflection of a function over x = y, so it is divided into two parts or two cases y = x and y = − x. When the graph of function is reflected over y = x, then we will swap the coordinates of the x and y-axis with each other while their signs remain the same.

Step-by-step explanation:

The length of the rectangular garden given the area and width is 8/7 miles

A rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.

Area of a rectangular garden = length × width

16 = x × 14

16 = 14x

x = 16 / 14

x = 8/7 miles

Therefore, the length of the rectangular garden given the area and width is 8/7 miles.

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Answer:

5 to the power of 9

Step-by-step explanation:

You have 5^7 over 5^-2.

The 5^-2 on the bottom can be handled by moving the whole thing UP across the fraction bar. This makes the -2 exponent into a positive 2 exponent.

5^7 / 5^-2

= 5^7• 5^2

Now, to multiply these, ADD the exponents.

5^7•5^2

= 5^9

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

Answer:

12 = f(40)

Step-by-step explanation:

From the given information:

We are being told that:

G = tons per week

p = people in thousands

However, the relation existing between the amount of garbage that is produced by a city with population p can be expressed as:

G = f(p)

Similarly, they said there exists a total population of 40000 persons in the town of Tola. i.e. 40 thousand and also 12 tons of garbage is produced by week i.e. that will be the value for G.

Then, we have:

12 = f(40)

Step 1

Given;

Required; To graph the system of equation.

Step 2

Graph the system of equation.

Hence, the solution to the system of equations as seen from the graph in (x,y) coordinate = (2,-2)

Answer:

Option C, 20 is the answer.

Step-by-step explanation:

Let g(x) = 2x and h(x) = x² + 4

We have to evaluate (h ο g) ( -2 )

Since ( h ο g )x = h [ g(x) ]

                       = ( 2x)² + 4

                       = 4x² + 4

( h ο g ) ( -2 )  = 4 ( -2 )² + 4

                       = 4 × 4 + 4

                       = 16 + 4

                       = 20

x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Angela's friend earned a salary of $950 plus a commission of $1,599.50 for a total earnings of $2,549.50 in the month they both sold $23,800 worth of merchandise.

To find out how much Angela's friend earned in the same month, we need to first calculate their commission earnings.

Angela's commission earnings can be found by multiplying the total sales by her commission rate of 11%:

Commission earnings = $23,800 x 0.11 = $2,618

Now, let's calculate her friend's commission earnings. First, we need to subtract the salary from the total sales:

Total sales - Salary = Commissionable sales
$23,800 - $950 = $22,850

Next, we can calculate the commission earnings by multiplying the commissionable sales by the commission rate of 7%:

Commission earnings = $22,850 x 0.07 = $1,599.50

Adding the commission earnings to the salary gives us the total earnings for the month:

Total earnings = $950 + $1,599.50 = $2,549.50

Therefore, Angela's friend earned $2,549.50 for the same month.
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The correct option is A, we have a translation of 7 units to the right.-

To find it, we need to analyze two correspondent vertices.

We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)

Taking the difference between that, we will get:

A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)

The first value gives the horizontal translation and the second the vertical one

So,we have a translation of 7 units to the right, the correct option is A.

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Answer:

30 ft

Step-by-step explanation:

Bottom rectangle:

A = bh

A = (5)(2)

A = 10

Middle rectangle:

A = bh

A = (6)(2)

A = 12

Top rectangle:

A = bh

A = (4)(2)

A = 8

Combined:

10 + 12 + 8

30

Answer:

Simplifying

-9 + 4 = 40

Combine like terms: -9 + 4 = -5

-5 = 40

Solving

-5 = 40

Couldn't find a variable to solve for.

This equation is a the left and right sides are not equal, therefore there is no solution.

Hope This Helped

The missing variables on item 2 are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 60º, we have that:

Hence the length o is given as follows:

tan(60º) = o/12.

\(\sqrt{3} = \frac{o}{12}\)

\(o = 12\sqrt{3}\)

Applying the Pythagorean Theorem, the length i is given as follows:

i² = 12² + \((12\sqrt{3})^2\)

i² = 576

i² = 24²

i = 24.

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Answer:

o = 12√3

i = 24

Step-by-step explanation:

From observation of the given right triangle, we can see that two of its interior angles measure 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, the triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #2, the shortest leg is 12 units.

As "a" is the shortest leg, the scale factor "a" is 12.

The side labelled "o" is the longest leg opposite the 60° angle. Therefore:

\(o = a\sqrt{3}=12\sqrt{3}\)

The side labelled "i" is the hypotenuse of the triangle. Therefore:

\(i= 2a = 2 \cdot 12=24\)

Therefore:

Answer:

From the information given, we can draw the following diagram:

   S ------- P

       / \       / \

      /   \ QR /   \

     /     \ / /     \

    /       Q       \

   R-----------------P

           MN

Here, SP || QR, so we have ∠QSP = ∠PQR and ∠SPQ = ∠QRP.

Since m∠QRS = 120, we have m∠QRP = 360 - m∠QRS = 360 - 120 = 240.

Since m∠QPS = 135 and ∠QSP = ∠PQR, we have m∠PQR = 360 - m∠QPS = 360 - 135 = 225.

Let x = MN. Since MN is the median of the trapezoid, we have MP = NR = x.

Now, consider the triangles SPQ and RPQ. We have:

tan(∠SPQ) = x/12 (using the tangent ratio in triangle SPQ)

tan(∠RPQ) = x/12 (using the tangent ratio in triangle RPQ)

Since ∠SPQ = ∠RPQ (as they are corresponding angles), we have:

x/12 = x/12

x = 12

Therefore, MN = x = 12.