The distance between point (-3,6) and another point is 10. What are the possible
coordinates of the other point?

Answer:

37.5

Step-by-step explanation:

∠ABC (x) is an inscribed angle with arc AC being the arc it intercepts

An inscribed angle is equal to half the measure of its intercepted arc.

If arc AC = 75

Then x = \(75\frac{1}{2}\)

75 / 2 = 37.5

Hence, x = 37.5

Answer:

We have the angles as;

8.9 and 72.2

Step-by-step explanation:

When two angles are complementary, they add up to 90

Let the first angle be x , the second angle is 72.2 degrees less and it is x-72.2

Thus, mathematically;

x + x - 72.2 = 90

2x = 90+ 72.2

2x = 162.2

x = 81.1

x = 81.1

The other will be

81.1 - 72.2 = 8.9

It sells twice as many kitten as lizards:

Kittens sold = 15 x 2 = 30 total kittens.

It sells 6 times the amount of fish:

Fish sold = 6 x 30 = 180 total fish.

Lizards = 15

Kittens = 30

Fish = 180

Answer:

They sell 225 pets each week.

Step-by-step explanation:

Let f be fish, k be kittens, and l be lizards.

\(f\)÷6=\(k\)

\(k\)÷2=\(l\)

If \(l=15\), then:

\(k=30\\f=180\)

180+30+15=225 pets

They sell 225 pets each week.

(I hope this isn't wrong but that answer seems wrong)

Answer:

11

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

6+5=11

(sum means addition)

Hope this helps! :)

The total cost of seeds to cover the total area is $110 and the total cost of fencing the park is $13914.

Given that, a gardener is reseeding a city park that has the shape of a right triangle with a base of 150 feet and a height of 200 feet. The third side of the park is 250 feet long.

The formula to find the area of a triangle is Area of triangle = 1/2 ×base × height.

Now, A= 1/2 × 150×200

A= 15000 sq. ft

a) 1 bag of grass seed covers 3750 sq. ft

So, 15000/3750 = 4 bags

The cost of 1 bag = $27.50

4 bags = 4×27.50= $110

b) Wire fencing costs $23.19 for every 50 ft roll

Then, Perimeter P = sum of all sides = 150+200+250=600 feet

The cost of fencing 50 ft = $23.19

So, 600 ft = 600×23.19

Fencing cost of wire =$13914

c) Fence posts cost $3.19 each and need to be placed every 5 ft.

We need to find out how many posts are needed and what is the cost altogether.

Now, Perimeter = 600 feet

Posts are kept 5 ft apart

Thus, 600/5= 120 posts

Cost of 1 post = $3.19

Now, 120 posts = 119×3.19= $379.61

Therefore, the total cost of seeds to cover the total area is $110 and the total cost of fencing the park is $13914.

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Answer:

\( \sqrt{40 {x}^{8} {y}^{5} } \)

\( \sqrt{40} \sqrt{ {x}^{8} } \sqrt{ {y}^{5} } \)

\((2 \sqrt{10} )( {x}^{4} )( {y}^{2} \sqrt{y} )\)

\(2 {x}^{4} {y}^{2} \sqrt{10y} \)

The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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Answer:

32% of 200 is 64.

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

I = Prt

I = 40  R = .10  T = 5

40 = P (.10)(5)

40 = P(.5)

Divide each side by .5

40/.5 = .5P/.5

80 = P

The interest over 5 years is $80.

The correct option is B.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:

40 = P(0.10)(5)

Simplifying:

40 = 0.5P

Dividing both sides by 0.5:

P = 80

Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.

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The value of x is 10.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Parallelogram has the property that the consecutive or adjacent angles of a parallelogram are supplementary.

That is, they sum up to 180°.

Here, (6x)° and (12x)° are supplementary.

6x + 12x = 180

18x = 180

x = 10

Hence the value of x is 10.

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Answer:

-3x^2 + 3x

Explanation:

Answer:

Step-by-step explanation:

\(3( - {x}^{2} + x)\)

\( = 3 \times ( - {x}^{2} ) + 3 \times x\)

\( = - 3 {x}^{2} + 3x(ans)\)

9514 1404 393

Answer:

  (x, y, z) = (49, 58, 122)

Step-by-step explanation:

The same-side exterior angles have a sum of 180°.

  (x +9) +(3x -25) = 180

  4x -16 = 180

  x -4 = 45

  x = 49

Vertical angles are congruent:

  y = 49 +9 = 58

  z = 180 -y = 122 = 3(49) -25

The values of x, y, and z are ...

Answer:

Angle AKN and KCS are equal, according to the property of adjacent sides. Side AH is equal to SC, from the condition, angle A = angle C.

Pop the sign of equality of triangles, these triangles are equal in 2 angles, and the side between them.

17  is the value of discriminant for quadratic equation.

What in mathematics is a quadratic equation?

A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.

                               The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.

General form of a quadratic equation is

ax² + bx + c = 0

The Discriminant of the quadratic equation is denoted by D and defined as

D = b² - 4ac

The given Quadratic equation is

√2x² - 5x + √2 = 0

Comparing with the general equation of quadratic equation ax² + bx + c = 0 we get

a = √2 , b = - 5 , c = √2

Value of Discriminant

      = b² - 4ac

      = (-5)² - 4 * √2 * √2

       = 25 - 8

       = 17      

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Answer:

0

Step-by-step explanation:

move x's to one side and constants to another

7x-3x-4x=4-4

add constants and combine like terms

0=0

Answer:

5.6km

Step-by-step explanation:

1km = 1000 meters

5,600 meters = 5.6km

5600 divided by 1000 = 5.6km

So, Chen walked 5.6km today.

Answer:

16.3

Step-by-step explanation:

they are each 1.63 hope this helps pls mark as brainiest

Answer: $16.30

Step-by-step explanation:

$4.89÷3= $1.63

$1.63×10= $16.30

Answer:

Below

Step-by-step explanation:

"The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic."

v is dependent variable (see the quote above)

     c is independent

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Answer:

5/72

Step-by-step explanation:

Answer:

x = - \(\frac{7}{4}\)

Step-by-step explanation:

Given

20x + 12 = 4x - 16 ( subtract 4x from both sides )

16x + 12 = - 16 ( subtract 12 from both sides )

16x = - 28 ( divide both sides by 16 )

x = \(\frac{-28}{16}\) = - \(\frac{7}{4}\) [ = - 1.75 ]

Answer:

B po? I'm not sure ehh hehehe

Answer:

18

Step-by-step explanation:

2y+3y+5y=180

10y/10=180/10

Y=18

The basic present value equation includes the present value, future value, discount rate, and the life of the investment.

The basic present value equation is a financial concept used to determine the value of an investment or cash flow in today's dollars. It involves four key components

1. Present value, This represents the current worth of an investment or cash flow. It takes into account the time value of money, which means that a dollar received in the future is worth less than a dollar received today. The present value is calculated by discounting future cash flows using an appropriate discount rate.

2. Future value, This refers to the expected value of an investment or cash flow at a future point in time. It represents the amount of money that an investment will grow to over a specific period, taking into consideration factors such as interest or investment returns.

3. Discount rate, The discount rate is the rate of return or interest rate used to determine the present value of future cash flows. It reflects the opportunity cost of investing in a particular investment or project. The discount rate takes into account factors such as the riskiness of the investment, inflation, and alternative investment opportunities.

4. Life of the investment, This represents the duration or time period over which the investment or cash flow will occur. It is important to consider the length of time involved as it affects the magnitude and timing of cash flows, which in turn impacts the present value calculation.

By considering these four components - present value, future value, discount rate, and the life of the investment - the basic present value equation allows individuals and businesses to assess the current worth of future cash flows and make informed financial decisions.

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Answer:

A. Domain: {-3, 1, 5, 6, 9}; Range: {-8, -6, 3, 5, 7}

Step-by-step explanation:

Domain is x values

Range is y values

The solution to the system of equations is (4, 3). This means that when x = 4 and y = 3, both equations are true.

What is the system of equations?

A system of equations is a set of two or more equations that are solved simultaneously for their unknown variables. The goal of solving a system of equations is to find the values of the unknown variables that make all the equations in the system true at the same time. A solution to a system of equations is an ordered pair of values that satisfies all the equations in the system.

To solve a system of equations, we need to find the values of x and y that make both equations true at the same time.

The first equation is: y = -1/4(3x - 36)

The second equation is: y = -1/2x + 8

To find the solution, we can set the two equations equal to each other and solve for x:

-1/4(3x - 36) = -1/2x + 8

Expanding the first equation:

-3/4x + 9 = -1/2x + 8

Adding 1/2x to both sides:

-1/4x + 9 = 8

Subtracting 9 from both sides:

-1/4x = -1

Multiplying both sides by -4:

x = 4

Now that we know x = 4, we can substitute it into either equation to find y:

y = -1/4(3x - 36)

y = -1/4(3 * 4 - 36)

y = -1/4(-12)

y = 3

Hence, The solution to the system of equations is (4, 3). This means that when x = 4 and y = 3, both equations are true.

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Among the following statements, "the interquartile range is better than the standard deviation to describe skewed data sets" is true because it is not affected by extreme values or outliers in the dataset.

The interquartile range (IQR) is a measure of variability that describes the spread of the central 50% (not 75%) of the data. It is a robust measure, meaning it is not affected by extreme values or outliers in the dataset, which can make it more appropriate for skewed datasets or datasets with outliers.

The standard deviation, on the other hand, is a measure of variability that describes the average distance of the data points from the mean. It is a more sensitive measure, meaning it is affected by extreme values and outliers in the dataset, which can make it less appropriate for skewed datasets or datasets with outliers.

The range is found by subtracting the minimum value from the maximum value, which makes the other two statements false.

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The approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

To calculate the approximate volume of a cone, you can use the formula:

Volume = (1/3) * π * r^2 * h,

where r represents the radius of the cone's base and h represents the height of the cone.

Given that the radius (r) is 1.75 feet and the height (h) is 2.1 feet, we can substitute these values into the formula:

Volume = (1/3) * π * (1.75)^2 * 2.1

To calculate the approximate volume, we'll use the value of π as approximately 3.14:

Volume ≈ (1/3) * 3.14 * (1.75)^2 * 2.1

Now, we can perform the calculations:

Volume ≈ (1/3) * 3.14 * 3.0625 * 2.1

≈ 1.047 * 3.0625 * 2.1

≈ 6.478875

Therefore, the approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

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Event "e" includes outcomes where the sum of two rolled dice is greater than 9, such as (4, 6), (5, 5), (5, 6), (6, 4), (6, 5), and (6, 6).

Event "e" represents the outcomes where the sum of two rolled dice is greater than 9. To determine these outcomes, we consider all the possible combinations when rolling two dice.

The outcomes that satisfy the condition are (4, 6), (5, 5), (5, 6), (6, 4), (6, 5), and (6, 6). These outcomes result in sums of 10, 11, and 12, which are greater than 9.

Other outcomes, such as (1, 1), (1, 2), (2, 1), (2, 2), etc., have sums less than or equal to 9 and are not included in event "e." Therefore, event "e" consists of the outcomes (4, 6), (5, 5), (5, 6), (6, 4), (6, 5), and (6, 6).

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