For each value of w, determine whether it is solution

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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The answer is tom will give 440 cards to Bala, using arithmetic operation.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

The total number of cards is 780+240 = 1020.

If in the end Bala will have twice as many cards as Tom then I would divide the 1020 by 3 which equals 340.

So Bala will have 2*340 = 680 cards

Tom will have 340 cards.

Now Bala will need (680-240) = 440 more cards.

Hence Tom will give 440 cards to Bala.

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The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer: 3^3 Square root 3

Step-by-step explanation:

The value of the fraction expression -2 1/2 - (-4 3/5) is 2 1/10

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

−2 /2/1 −(−4 3/5)

Express properly

So, we have the following representation

-2 1/2 - (-4 3/5)

Remove the brackets

This gives

-2 1/2 - (-4 3/5) = -2 1/2 + 4 3/5

Express the denominator as 10

So, we have

-2 1/2 - (-4 3/5) = -2 5/10 + 4 6/10

Evaluate the difference

-2 1/2 - (-4 3/5) = 2 1/10

Hence, the solution is 2 1/10

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Answer:

\(\frac{ \frac{7}{3}}{\frac{1}{3}}\)  is the slope

Step-by-step explanation:

rise over run

The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.

To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.

Starting with -4x + y = -3, we isolate y by adding 4x to both sides:

y = 4x - 3

Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.

If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:

y > 4x - 3

If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:

y < 4x - 3

The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.

For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.

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Using central angle theorem,

The measure of the arc BC = 110°.

An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.

Here in the question,

As per the central angle theorem:

(2x -30) ° + x° = 180°

⇒ 2x - 30 + x = 180

⇒ 3x - 30 = 180

Adding 30 on both sides:

⇒ 3x = 180 + 30

⇒ 3x = 210

Dividing both sides by 3.

⇒ x = 70°

Now BC = 2x-30

= 2 × 70 -30

= 140 - 30

= 110°

Therefore, the measure of BC = 110°.

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Answer:

C) 6; Troy eats 6 eggs per day.

Explanation:

From the graph:

When days = 2, Number of eggs = 12

When days = 4, Number of eggs = 24

Therefore, Troy eats 6 eggs per day.

The correct choice is C.

The two Skyscrapers are approximately 7670.51 feet apart.

The distance between the two skyscrapers, we can use trigonometry and the given information about the angle of inclination and the height of skyscraper B. Let's break down the problem step by step.

1. Let's denote the distance between the bases of the two skyscrapers as d.

2. We can visualize the situation as a right triangle, where the height of skyscraper B (1463 feet) represents the opposite side and the distance between the two buildings (d) represents the adjacent side. The angle of inclination (10.5°) is the angle between the adjacent side and the hypotenuse.

3. The trigonometric function that relates the opposite side, adjacent side, and the angle of inclination is the tangent (tan) function: tan(angle) = opposite/adjacent.

4. Plugging in the known values, we have tan(10.5°) = 1463/d.

5. To solve for d, we can rearrange the equation: d = 1463 / tan(10.5°).

6. Evaluating the tangent of 10.5° using a calculator, we find that tan(10.5°) is approximately 0.1908.

7. Now, substituting this value into the equation, we have d = 1463 / 0.1908.

8. Calculating the right side of the equation, we find that d is approximately 7670.51 feet.

Therefore, the two skyscrapers are approximately 7670.51 feet apart.

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The value of the missing data point is 10. Option C

The data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.

Let's arrange the data set in ascending order:

6, 8, ?, 8, 14, 15, 16, 18

Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.

From the given options, the only whole number that could fit as the fourth value in the data set is 10.

Thus, the value of the missing data point is C. 10.

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Answer:

triangle is the mathematical shape which has three sides and its sum is 180°.

hexagon has six side and sum is 180°×6.

Sorry, it is not nice explaination.

The variables s, m, n, and y in this question are challenging to interpret without additional context. On the other hand, if y is a constant and s, m, and n are functions of w(1) and w(2)

With regard to w(1), esm's partial derivative is as follows:

Each of these partial derivatives can be calculated using the differentiation chain rule and the variables s, m, n, and y in this question are challenging to interpret without additional context. On the other hand, if y is a constant and s, m, and n are functions of w(1) and w(2):

∂(esm)/∂(w(1)) = yn * exp(-yn * n) * (-m) * 1/(1 + exp(-s)) * exp(s) / (1 + exp(s))^2 * x1

∂(esm)/∂(w(2)) = ∂(esm)/∂(n) * ∂(n)/∂(m) * ∂(m)/∂(s) * ∂(s)/∂(w(2))

∂(esm)/∂(w(2)) = yn * exp(-yn * n) * (-m) * 1/(1 + exp(-s)) * exp(s) / (1 + exp(s))^2 * x2.

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Answer:

5 7/10

Step-by-step explanation:

pls mark me brainliest :))

Answer: 5 7/10

Step-by-step explanation: There are 10 lines between 5 and 6. Each line represents a tenth. Point A is located on the 7th line meaning the fraction point A represents is 5 7/10.

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

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The expression represents a quadratic polynomial with two terms. The constant term is \(-\frac{1}{6}\), the leading term is \(x^{2}\), and the leading coefficient is \(-1\).

The given expression is \(-x^{2}-\frac{1}{6}\).

We have to complete the given sentence;

The expression represents a ........... polynomial with ........terms. The constant term is .........., the leading term is..........., and the leading coefficient is ....................  .

we first complete the given sentence then we explain the sentence.

The expression represents a quadratic polynomial with two terms. The constant term is \(-\frac{1}{6}\), the leading term is \(x^{2}\), and the leading coefficient is \(-1\).

Firstly about Quadratic Polynomial

When the highest degree term in a second-degree polynomial equals to 2, the polynomial is said to be quadratic.

Now about Constant Term

A number that is constant and does not have any variables in an algebraic expression is a constant term.

Now about Leading Coefficient

The numbers placed in front of the variable with the biggest exponent are known as leading coefficients.

Hence, the expression represents a quadratic polynomial with two terms. The constant term is \(-\frac{1}{6}\), the leading term is \(x^{2}\), and the leading coefficient is \(-1\).

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Answer:a A. 4x-7/2x(x-2)

got it right on the test

Step-by-step explanation:

Answer:

72 miles per hour

Step-by-step explanation:

what you would need is 72 miles per hour

because 576 miles

8 hours

= 72 miles

Answer:

1. 2.6666666666667

2. 2.6666666666667

Step-by-step explanation:

Answer:

7 x 4

Step-by-step explanation:

Let the width be x, length will be 3x-5. ATQ, x(3x-5)=28. x=4 and x=-7/3, since length isn't negative, x=4. Width=4 and length=7

38 cupcakes can Eric make.  

percentage, a relative value indicating hundredth parts of any quantity.

According to the recipe, one cupcake requires 25% sugar, 25% egg, and 50% flour.

To convert the percentages to actual quantities, we can multiply the amount of each ingredient by 20 (the weight of one cupcake) and divide by 100.

Sugar: 25% × 20g = 5g

Egg: 25% × 20g = 5g

Flour: 50% × 20g = 10g

Eric has 200 grams of egg,

200g / 5g = 40 cupcakes.

Eric has 380 grams of flour

380g / 10g = 38 cupcakes.

Hence, 38 cupcakes can Eric make.

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A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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Answer:

Tanya is incorrect. 7.4k and 4.3 are not like terms

hope this helped

Answer:

3*-3+0*5

Step-by-step explanation:

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Answer:

As = 256\(\pi\) or 804.25cm

Step-by-step explanation:

By formula As = \(4\pi r^{2}\)

As = 256\(\pi\) or 804.25cm

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

y+3x+11=0

Step-by-step explanation:

m=-3, x1=-4, y1=1

from m=y-y1/x-x1

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

-3(x+4)=y-1

-3x-12+1=y

y=-3x-11

y+3x+11=0