Can someone help me out with this?​

Answer:

...

Step-by-step explanation:

B. 2 18 3

Step-by-step explanation:

on edg

Answer:

i)

Your answer is correct

ii)

Given m∠BAX = 42° and ∠DAB is complementary with BAX ⇒

DC = BC ⇒ intercepted arcs are same ⇒

mDC = mCB ⇒ mDCB = ∠DAB = 48° ⇒

iii)

∠CBA

∠CBA is supplementary with ∠ADC as opposite angles of cyclic quadrilateral (∠ADB = ∠BAX = 42°)

∠BAE

EA║CB and AB is transversal ⇒ CBA and BAE are supplementary angles:

∠DCE

Answer:

4(3x+7)

Step-by-step explanation:

12x+28

Bot numbers are divisible by 4

4*3 *x + 4*7

Factor out the 4

4(3x+7)

Using the rule of 72, startfraction 72 over t endfraction, Manuel will double his money first, in approximately 9 years. Option C is the answer.

The rule of 72 is a quick and simple way to estimate the number of years it takes for an investment to double given the

interest rate. It is calculated by dividing 72 by the interest rate.

For example, if an investment has an interest rate of 8%, it will take approximately 72 / 8 = 9 years to double the investment.

Applying this rule, we can estimate the time it will take for Sylvia's investment to double: 72 / 8 = 9 years.

And for Manuel's investment to double: 72 / 7.25 = 10 years.

Since Manuel's investment will double in approximately 9 years, he will double his money first.

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Area = 1/2*base*height = 1/2*9*4 = 18 sq.m

Solution:

We will be using the area of rectangle formula to calculate the areas of the three rectangles given.

(a) Length(l) = 9 m and Breadth(b) = 6 m

Area of rectangle = l × b

= 9 × 6

= 54 m2

(b) Length(l) = 17 m and Breadth(b) = 3 m

Area of rectangle = l × b

= 17 × 3

= 51 m2

(c) Length(l) = 4 m and Breadth(b) = 14 m

Area of rectangle = l × b

= 4 × 14

= 56 m2

Therefore, the area of the rectangle with the dimensions 4m and 14m having an area of 56 m2 that is (c) has the largest area whereas, the area of the rectangle with dimensions 17m and 3m having an area of 51 m2 that is (b) has the smallest area.

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Answer:

I think this is mistake because y=2x^2+6x-10 y=x+5 this is the right

The total area of the garden when the rectangle with given vertices is added is 55 square feet.

Both length and breadth are metrics that are used to define an object's size. Although width is the measurement of an object's shorter dimension, length is the measurement of an object's longest dimension. The longer side of two-dimensional objects like rectangles is often referred to as the length, and the shorter side as the width. The length, width, and height, however, can refer to any one of the three dimensions in three-dimensional objects like boxes, depending on how the item is orientated.

The vertices of the new rectangle are (−21, 7), (−23, 7), (−21, 12), and (−23, 12).

The length of the rectangle is: 12 - 7 = 5

The width of the rectangular piece is: 23 - 21 = 2

The area of the rectangular piece is:

A = 5 × 2 = 10 square feet

The total area is:

Total area = 45 + 10 = 55 square feet

Hence, the total area of the garden when the rectangle with given vertices is added is 55 square feet.

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Answer: B.55 ft2

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is the answer

y/x is equivalent to a constant and is equal to [m].

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)      {Two point - slope form}

x/a + y/b = 1                                        {intercept form}

x cos(β) + y sin(β) = L                          {Normal form}

We have a relationship that is proportional when the ratio of [y] over [x].

The equation of a straight line -

y = mx + c

can be used to represent proportional relationship when [c] = 0. Now -]

y = mx

m = y/x

Now, y/x is equivalent to a constant and is equal to [m].

Therefore, y/x is equivalent to a constant and is equal to [m].

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The value of the expression after evaluating it according to the values of c and d is 42.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Since, no expression is given, let us assume that the expression is

c + d / 4

Now we have to evaluate the value of the expression according to the values of c and d,

For that, we will simply put the given values in the expression and solved it accordingly,

Put c = 36 and d = 24 in the expression we assumed,

c + d / 4 = 36 + 24/4

= 36 + 6 = 42

Hence, the value of the expression after evaluating it according to the values of c and d is 42.

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Answer: respuesta A EN 40000 millas

en  EN 1000000B

Step-by-step explanation

The test statistic would be a two-sample t-test, which compares the means of two independent samples by calculating the difference in means between the two samples and dividing the difference by the standard error of the difference.

In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).

Describe a percentage example.

The hundredth component, one percent (symbolized as 1%), is expressed as 100 percent, and 200 percent denotes double the quantity specified. For example, 1% of 1,000 chickens equals 1/100 of 1,000, or 10 chickens, and 20% of the total is equal to 20% of 1,000, or 200.

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The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

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Step-by-step explanation:

area of a rectangle is

length × width

so, in our case

2 2/5 km² = 1 2/5 × width (or length, it does not matter)

12/5 km² = 7/5 × width

width = 12/5 / 7/5 = 12×5 / 7×5 = 12/7 = 1 5/7 km

The antiderivative of the function -2sin(2x) with c = 0 is cos(2x).

To find the antiderivative of the function f(x) = -2sin(2x) with c = 0, we can apply the basic integration rules for trigonometric functions.

The antiderivative, also known as the indefinite integral, of a function represents the set of all functions whose derivative is equal to the original function. In this case, we want to find the function F(x) such that F'(x) = f(x) = -2sin(2x).

We can start by applying the power rule of integration, which states that the integral of sin(x) is equal to -cos(x). However, since we have sin(2x) in the given function, we need to adjust for the coefficient of 2.

Applying the chain rule, we divide the argument of sin(2x) by the derivative of the inner function, which is 2. This gives us:

∫sin(2x) dx = -1/2 cos(2x) + C

Now we need to account for the coefficient of -2 in the original function. The antiderivative of -2sin(2x) becomes:

∫-2sin(2x) dx = -2 * ∫sin(2x) dx

Substituting the antiderivative of sin(2x) that we found earlier, we have:

-2 * (-1/2 cos(2x)) + C

Simplifying, we get:

∫-2sin(2x) dx = cos(2x) + C

Finally, since c is given as 0, we can replace C with 0 in the equation. Therefore, the antiderivative of f(x) = -2sin(2x) with c = 0 is:

F(x) = cos(2x) + 0

F(x) = cos(2x)

Hence, the antiderivative of the function -2sin(2x) with c = 0 is cos(2x).

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The table below shows the volumes of cones with different radii, doubling the radius from 1 to 8.

| Radius |     I Volume    |

| 1            | 0.5236    |

| 2           | 4.1888    |

| 3           | 14.1372   |

| 4           | 33.5103   |

| 5           | 65.4498   |

| 6           | 113.0973  |

| 7           | 179.5947  |

| 8           | 268.0826  |

To investigate how changing the length of the radius of a cone affects its volume, we can use the formula for the volume of a cone: V = (1/3)πr²h, where r is the radius and h is the height. However, since we are focusing on the radius, we can assume a fixed height for simplicity.

In this case, we are doubling the radius, so we can calculate the volumes for different radius values. We take radius values between 1 and 8 and use the formula to find the corresponding volumes.

By plugging the values into the volume formula, we get the following results:

For radius 1: V = (1/3)π(1)²h ≈ 0.5236

For radius 2: V = (1/3)π(2)²h ≈ 4.1888

For radius 3: V = (1/3)π(3)²h ≈ 14.1372

And so on, continuing the calculations for each radius value up to 8.

The table summarizes the calculated volumes for the given radius values. As the radius doubles, the volume of the cone increases significantly, demonstrating how changing the radius affects the cone's volume.

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Answer:

prime numbers are the natural numbers greater than one that are not products of two smaller natural numbers

Step-by-step explanation:

Answer:

A prime number is a number that is divisible by itself and cannot be divided by any other number only by itself.

For example, 5 is a prime number because nothing can divide into 5 except for itself.

The equation of the line perpendicular to y=-(3/4)x+9 and passing through the point (6,4) is y=(4/3)x-4.

To find the equation of a line perpendicular to another line, we need to determine the negative reciprocal of the slope of the given line. The given line has a slope of -3/4, so the perpendicular line will have a slope that is the negative reciprocal of -3/4, which is 4/3.

Now we have the slope of the perpendicular line. To find the equation, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Using the point (6,4) and the slope 4/3, we can substitute these values into the point-slope form:

y - 4 = (4/3)(x - 6)

Simplifying this equation, we get:

y - 4 = (4/3)x - 8

Finally, rearranging the equation, we obtain:

y = (4/3)x - 4

Therefore, the equation of the line perpendicular to y=-(3/4)x+9 and passing through the point (6,4) is y=(4/3)x-4.

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The solutions that satisfy the constraints are the ordered pairs of (A, B) in the feasible region.

To find the solutions to this system of linear equations with constraints, we can use the graph method. We can first graph the lines 4A + 2B = 12 and 4A + 2B = 24, and then find the region where the solutions are located. The line 4A + 2B = 12 represents the equation of a straight line, and the line 4A + 2B = 24 also represents the equation of a straight line. The region where both lines intersect is the feasible region, i.e., the region where the solutions (A and B) are located.

Next, we can graph the constraint 4A + 2B ≤ 12 and find the region where the solutions are located that satisfies this constraint. The region above the line 4A + 2B = 12 and below the line 4A + 2B = 24 is the feasible region that satisfies both the constraints 4A + 2B = 12 and 4A + 2B ≤ 12.

Finally, the solutions that satisfy the constraints are the ordered pairs of (A, B) in the feasible region.

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Step-by-step explanation:

it is completely vertical.

the slope is the ratio

y coordinate change / x coordinate change

when going from one point on the line to another.

but in such a case x is not changing at all. x is a constant for all y values.

so the slope is

y difference / 0

this is undefined (or in some ways described as infinity).

The slοpe οf the flagpοle in the figure is nοt defined.

Here, the pοle is similar tο the Y-axis οf the graph.

Angle the pοle makes with Y-axis = 90 degree

( as it is vertically standing straight )

Thus, the slοpe οf the pοle

= \(tan90\)

= not defined

Hence, the slope of the given flag pole is not defined.

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Complete question;

What is the slope of the flagpole in the image shown below? _________

The set of output values of a function or relation is known as the range.

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Answer: 45

Step-by-step explanation:

S is 45 (labelled on the diagram)

The correct form of the expression is 5(2x - 2)

It should be noted that the expression that is given is illustrated as:

3x-5-2x + 9x.

To solve this, collect the like terms

3x - 2x + 9x - 5

= 10x - 5

= 5(2x - 1)

The correct form of the expression is 5(2x - 1)

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The optimal point (x, y) can be found by solving the simultaneous equations. The slack for constraint (1) is the difference between the right-hand side and the left-hand side of the inequality, representing the unused capacity in the constraint.

The optimal point (x, y) can be found using the simultaneous equations method. From the given constraints:

2X + 3Y ≤ 240 ...(1)

2X + Y ≤ 120 ...(2)

X, Y ≥ 0

To find the optimal point, we need to solve these two equations simultaneously. By solving equations (1) and (2), we can find the values of X and Y that satisfy both constraints. Once we have the values of X and Y, we can substitute them into the objective function (profit function) to determine the maximum profit.

To find the slack for constraint (1), we need to evaluate the difference between the left-hand side (LHS) and the right-hand side (RHS) of the inequality. In this case, the slack for constraint (1) is calculated as:

Slack for constraint (1) = RHS - LHS = 240 - (2X + 3Y)

The slack represents the amount of unused resources or capacity in the constraint. It tells us how much "slack" or leeway we have in the constraint before it becomes binding. If the slack is positive, it means that the constraint is not fully utilized and there is room for improvement. If the slack is zero, it indicates that the constraint is exactly satisfied. If the slack is negative, it implies that the constraint is violated and adjustments need to be made.

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The basic unit of mass of the ball in the metric system is the gram.

The base units of length (distance), capacity (volume), and weight (mass) in the metric system are the meter, liter, and gram, respectively. We utilize units that are derived from metric units to measure smaller or greater quantities.

Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass.

Therefore, the basic unit of mass of the ball in the metric system is the gram.

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The measure of angle A in the isosceles triangle ABC is 62.5 degrees.

In an isosceles triangle ABC, where AB = AC, we are given that angle B (denoted as ∠B) measures 55 degrees. We need to calculate the measure of angle A (denoted as ∠A).

Since AB = AC, we know that angles A and C are congruent (denoted as ∠A ≅ ∠C). In an isosceles triangle, the base angles (the angles opposite the equal sides) are congruent.

Therefore, we have:

∠A ≅ ∠C

Also, the sum of the angles in a triangle is always 180 degrees. Hence, we can write:

∠A + ∠B + ∠C = 180

Substituting the given values:

∠A + 55 + ∠A = 180

Combining like terms:

2∠A + 55 = 180

Subtracting 55 from both sides:

2∠A = 180 - 55

2∠A = 125

Dividing by 2:

∠A = 125 / 2

∠A = 62.5

Therefore, the measure of angle A in the isosceles triangle ABC is 62.5 degrees.

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