Prove that:- sin 10° *cos 75°*sec 80° *cosec 15 = 1

Answer: A. (4,6)

Step-by-step explanation: 2(6y−4x = 20)                                                   3(−4y+3x = −12)                                                                                                     −8x+12y = 40                                                                                                     9x−12y = −36                                                                                                   -8x+9x                                                                                                                 +12y-12y                                                                                                               40-36                                                                                                                     x=4                                                                                                                   6y−4x = 20                                                                                                       6y−(4)(4) = 20                                                                                                   6y−16+16 = 20+16                                                                                                 6y/6 = 36/6                                                                                                           y = 6                                                                                                                       x = 4, and y = 6.

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

The given system of equations are 6y-4x=20 and -4y+3x=-12.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

6y-4x=20 ----------(I) and -4y+3x=-12 ----------(II)

Multiply equation (I) by 3, we get

-12x+18y=60 ----------(III)

Multiply equation (II) by 4, we get

12x-16y=-48 ----------(IV)

Add equation (III) and (IV), that is

-12x+18y+(12x-16y)=60-48

⇒ 2y=12

⇒ y=6

So, 6y-4x=20

⇒ 36-4x=20

⇒ -4x=-16

⇒ x=4

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

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Answer:

The coefficient of x is 22.

Based on the given information, we can only conclude that Don Pepe needs to paint an additional 2 dam of the building,

To determine how much Don Pepe needs to paint the entire building, we can subtract the portion that has already been painted from the total height of the building.

The height of the building is given as 5.5 dam (decameters). If Don Pepe has already painted 3.5 dam, we can find the remaining portion by subtracting the painted height from the total height:

Remaining height = Total height - Painted height

Remaining height = 5.5 dam - 3.5 dam

Remaining height = 2 dam

Therefore, Don Pepe needs to paint an additional 2 dam of the building.

Decameters (dam) is a unit of length, and painting typically involves covering a two-dimensional surface area. To determine the surface area that needs to be painted, we need additional information such as the width or perimeter of the building's walls.

If we assume that the width or perimeter of the building is constant throughout, we can use the formula for the surface area of a rectangular prism:

Surface area = Length × Width × Height

Without information about the width or perimeter, it is not possible to calculate the exact amount of paint needed to cover the remaining height of the building.

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Note the translated question is:

Don Pepe must paint a building 5.5 dam high if he already painted 3.5, how much does he need to paint the entire building?

It is true that the indexed variables (members) of an array must be integers.

The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.

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The distance traveled by a passenger on each rotation of the Ferris wheel is 1635.2 feet.

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

The expression is given in the question as:

⇒ 3.14d

The circumference of the Ferris wheel can be determined by multiplying the diameter, d, by (3.14).

Thus, the circumference of the Ferris wheel is:

⇒ 3.14 × 520 = 1635.2 feet.

Since the Ferris wheel makes one full rotation in one ride, the distance traveled by a passenger on each rotation of the Ferris wheel is 1635.2 feet.

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Answer:

Nicholas.

Step-by-step explanation:

2/3 is also 10/15

3/5 is also 9/15

10/15 is more, so 2/3 is more

Hope this helped :D

Answer:

Nick, drank 1/15 more

Step-by-step explanation:

1. Create Equation

2/3-3/5

2. Solve

2/3-3/5

10/15-9/15

1/15

Answer:

9 for part b 40 for part a

Step-by-step explanation:

if u do 5 times the numbers it gives u the product so 45 is 9 times 5 and 40 os 8 times 5

Answer:

Part A: 9 orange beads

Part B: 40 blue beads

Step-by-step explanation:

Notice that you need to have the proportion of blue beads always 5 times larger than the number of orange beads. therefore you need to complete the table following such pattern:

Part A:  for 45 blue beads, she needs to use : 45/5 = 9 orange beads

Part B: for 8 orange beads, she needs to use 8 * 5 = 40 blue beads

Hello!

\(\large\boxed{ = 22.5}\)

Find 45% of 50 using multiplication. Begin by converting 45% into a decimal:

45 / 100 = 0.45

Multiply 50 by the solved value above to find the amount:

0.45 × 50 = 22.5

Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

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The volume of a sphere is given as (4/3)πr³ thus the volume of a 17 cm diameter sphere will be 2571.14 cm³

A sphere is a 3D geometrical object which has a radius and becomes a point that revolves around a fixed point called the center.

A sphere has surface area and volume based upon the radius of the sphere.

Given that,

Dia of sphere = 17 cm

The volume of a sphere is given as ;

V =  (4/3)πr³

Since Dia = 2 radius ⇒ r = D/2

V = (4/3)π(D/2)³

V = (4πD³) / (8 × 3)

V = πD³/3

V = 3.14×17³/3

V = 2571.14 cm³

Hence "The volume of a sphere is given as (4/3)πr³ thus the volume of a 17 cm diameter sphere will be 2571.14 cm³ ".

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There will be 16 business cards in total. Each of the 4 people exchanges cards with the other 3 people.

When Person A exchanges business cards with Person B, it results in 2 cards on the table. The same happens when Person A exchanges cards with Person C and Person D, resulting in a total of 6 cards. This process is repeated for Person B, Person C, and Person D, leading to a total of 6 cards exchanged by each person individually. Since there are 4 people, we multiply 6 by 4, resulting in 24 cards exchanged. However, we need to divide this number by 2 because each card is counted twice (once for each person exchanging). Thus, we have a total of 12 unique cards on the table. Adding the initial 4 cards placed by the individuals themselves gives us a final count of 16 business cards.

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The probability of throwing an odd number with a normal dice is 1/2

When rolling a normal six-sided B, there are six equally likely outcomes: 1, 2, 3, 4, 5, and 6. Out of these six numbers, three of them (1, 3, and 5) are odd numbers. Thus, there are three favorable outcomes (odd numbers) out of a total of six possible outcomes.

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes. In this case, the probability of throwing an odd number is 3/6, which simplifies to 1/2.

This means that there is a 50% chance of rolling an odd number with a normal six-sided die. In other words, if you roll the die many times, you can expect that approximately half of the outcomes will be odd numbers.

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Answer:

x = 12 and y = 60°

Step-by-step explanation:

As we can see it is parallelogram as the opposite sides are parallel

so,

y = 60° {opposite angles of a parallelogram are equal }

x + 3 = 15 (opposite sides of a parallelogram are equal)

x = 15 - 3

x = 12

Hope it will help :)❤

Answer:

E

Step-by-step explanation:

It has 4 lines I think

Please mark brainliest!

Answer:

D-I believe its the square

Step-by-step explanation:

because a square has four lines of symmetry and the other one have less than four

Answer:

Step-by-step explanation:

Eight more means add 8

Four times an unknown number is 4x

‘Is’ 28 means equal to 28

4x+8=28

Answer:

1.5707

Step-by-step explanation:

i solved it using the furmola :

\(2\pi \times r \frac{45}{360} \)

Answer:

Step-by-step explanation:

We know that the length of the arc in a circle is proportional to its corresponding angle which means:

a corresponds to 45

2πr corresponds to 360

then

\(\frac{a}{45} = \frac{2\pi r}{360}\)

then

a = (45÷360)×4×π

 =1.570796326795

By definition two quantities are proportional of each other if it can be express like:

where k is the constant of proportionality.

Now, by definition a line is a set of points that have the same rate of change between them, no matter which points we take.

Thus we can argue that a line always have a constant rate but they don't necessarily represent proportional quantities.

The acceptance angle of a right-angle prism made from glass (n=1.5) is approximately 41.8 degrees. The acceptance angle of a corner reflector made from glass (n=1.5) is approximately 90 degrees.

(a) For a right-angle prism, the acceptance angle (2θ_out) is the angle at which the incident light ray inside the prism reaches the critical angle and undergoes total internal reflection. The critical angle can be determined using Snell's law, which states that sin(θ_c) = 1/n, where n is the refractive index of the medium (in this case, n=1.5 for glass). Solving for θ_c, we find θ_c = sin^(-1)(1/n). Since the incident angle inside the prism is equal to the critical angle, the acceptance angle is 2θ_c. Substituting n=1.5, we find 2θ_out ≈ 2 * sin^(-1)(1/1.5) ≈ 41.8 degrees.

(b) A corner reflector is formed by three mutually perpendicular plane mirrors, such as those in a prism. In a corner reflector made from glass (n=1.5), each mirror surface will have an acceptance angle equal to the critical angle. Using the same formula as in (a), we find θ_c = sin^(-1)(1/1.5). Since each mirror is perpendicular to the others, the total acceptance angle of the corner reflector is the sum of the acceptance angles of the individual mirrors, which results in 2θ_out ≈ 2 * sin^(-1)(1/1.5) ≈ 90 degrees.

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Answer:

the curse of dimensionality

Step-by-step explanation:

the cause of dimensionality has to do with the different phenomena that comes up whenever data is to be analyzed or organized in high dimensional spaces which do not happen in low dimensional spaces. This curse can be explained simply as having error increase just as there are increases in the number of features. when the features we have is more than the observations, it could cause the model to be overfitted.

Answer:

2,000,000  or 2x10^6

Step-by-step explanation:  Multiply the total number of sheets in a ream times the total number of reams in a case times the number of cases.

Answer:

1 1/2

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

3 x 1/2 = 1.5 or 1 1/2

Answer:

derivative on r^2 with respect to r

one time derivative is 2r

second time derivative is 2

third time derivative is 0

Answer:

\(\mathrm{No\:Solution}\)

Step-by-step explanation:

\(\begin{bmatrix}Y=3x-2\\ Y-3x=4\end{bmatrix}\)

\(\mathrm{Substitute\:}Y=3x-2\)

\(\begin{bmatrix}3x-2-3x=4\end{bmatrix}\)

\(\mathrm\:{Combine\:like\:terms:\)

\(\begin{bmatrix}-2=4\end{bmatrix}\)

\(-2=4\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}\)

\(\mathrm{No\:Solution}\)

Answer:

D

Step-by-step explanation:

because the liter things measure liquids and the gram one measures mass

Answer:

centimeter (cm)

Step-by-step explanation:

centimeters are the only measurement out of the answer choices that measures length. Milligrams are a measure of weight, and liters and milliliters both measure volume of a liquid.

For every dollar in sales, June earns 5 cents as commission, the percent of sales she receives as commission is 5% of the total sales amount.

To determine the percentage of her sales that June receives as commission, we can calculate the commission as a percentage of her total sales.

Commission percentage = (Commission / Total Sales) * 100

In this case, June earned a commission of $85 and had total sales of $1,700. Plugging these values into the formula:

Commission percentage = (85 / 1700) * 100

Simplifying the equation:

Commission percentage = 0.05 * 100

Commission percentage = 5%

Therefore, June receives 5% of her sales as commission.

This means that for every dollar in sales, June earns 5 cents as commission. In other words, her commission is 5% of the total sales amount.

It's worth noting that the commission percentage may vary for different individuals or companies. In this particular scenario, June's commission rate is 5%.

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The difference represented by the number line is 0.5

A line is a shortest distance between two points.

From the given number line

Red arrow = 2.5-(-0.5)

Red arrow = 2.5 + 0.5 = 3.0

For the blue arrow

Blue arrow = 2.5 + 0
Blue arrow = 2.5

Take the difference

Difference = 3.0 - 2.5

Difference = 0.5

Hence the difference represented by the number line is 0.5

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Answer:1/4+m= 2/3

Step-by-step explanation:

Plz brainliest and extra points!

I’m almost an expert!!

Answer:

2/5m - 7/5

Step-by-step explanation:

Combine the like terms (-4/5 and -3/5)

About  84.13 percent of the individuals tested scored 135 or below.

To determine the percentage of individuals who scored 135 or below in a normal distribution with a mean of 120 and a standard deviation of 15, we can use the properties of the standard normal distribution.

First, we need to calculate the z-score for the value of 135. The z-score represents the number of standard deviations away from the mean a particular score is. It is calculated as (X - μ) / σ, where X is the score, μ is the mean, and σ is the standard deviation.

In this case, the z-score for 135 is (135 - 120) / 15 = 1. Therefore, we want to find the percentage of individuals with a z-score of 1 or below.

Using a standard normal distribution table or software, we can find that the area under the curve to the left of a z-score of 1 is approximately 0.8413. This represents the percentage of individuals who scored 135 or below in the given distribution.

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