1. Let's say and write the answers as quickly as possible. a) If x° and 100° are a linear pair, then xº =
b) If y° and 50° are vertically opposite angles, then yº =
c) If a° and 30° are a pair of complementary angles, then aº =
d) If p° and 120° are a pair of supplementary angles, then pº =​

Answer: false

Step-by-step explanation:

answer is option D

\( \frac{2}{10} = \frac{1}{5} \\ \frac{4}{20} = \frac{1}{5} \\ \frac{6}{30} = \frac{1}{5} \\ \frac{8}{40} = \frac{1}{5} \)

so the answer is option D

please mark this answer as brainlist

Answer:

Figure B would be a transformation down.

Figure C would be a reflection.

Figure D would be a rotation of 180°.

Answer:

y=8.

Step-by-step explanation:

1) if according to the condition slope=0, then the slope-interception form of the required equation is: y=i, where i - interception;

2) if according to the condition the point (4;8) belongs to the required equation, then the required equation is: y=8

Answer:

i think answer is 5

Step-by-step explanation:

since you could think what are factors of 36
1x36
2x18
3x12
4x9 and
6x6

Answer:

0.375

Step-by-step explanation:

hope his helps, have a good day ! :)

The radian measure of the angle at the center of the circle is approximately 1.6623 radians.

We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.

To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.

The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)

Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.

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Answer:

There are 750 cubes of side 0.1 that can be carved out of the block of wood.

This expression will give you the probability of drawing exactly two blue marbles.

To find the probability that she draws exactly two blue marbles, we need to consider the probability of drawing two blue marbles and one red marble in any order.

Let's assume the probability of drawing a blue marble is denoted by "P(B)" and the probability of drawing a red marble is denoted by "P(R)". Since she replaces only the blue marbles, the probability of drawing a blue marble remains the same for each draw.

To calculate the probability of drawing exactly two blue marbles, we can use the binomial probability formula:

P(2 blue marbles) = C(3, 2) * (P(B))^2 * (P(R))^1

Where C(3, 2) is the number of ways to choose 2 items out of 3, given by the combination formula:

C(3, 2) = 3! / (2! * (3 - 2)!) = 3

Since the probability of drawing a blue marble remains the same for each draw, we can simplify the formula:

P(2 blue marbles) = 3 * (P(B))^2 * (P(R))^1

Now, substitute the actual values of P(B) and P(R) into the formula. For example, if the probability of drawing a blue marble is 0.4 and the probability of drawing a red marble is 0.6, the calculation would be:

P(2 blue marbles) = 3 * (0.4)^2 * (0.6)^1

Simplifying this expression will give you the probability of drawing exactly two blue marbles.

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Break-even point refers to the level of output, sales, or revenue required for a business to have zero profits or losses. It's the stage where a company covers all of its costs but doesn't make any profits.

Therefore, to calculate break-even point volume, we need to use the following formula:

BEPV = Fixed Costs/ (Revenue per unit - Variable cost per unit)

where BEPV is the break-even point volume Given that the alternative under .

consideration by a company will have fixed costs of $10,000 per month, variable costs of $20 per unit, and revenue of $70 per unit, we can substitute these values in the above formula:BEPV = $10,000/($70 - $20)BEPV = $10,000/$50BEPV = 200 units Therefore, the break-even point volume is 200 units.

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Answer:

12

Step-by-step explanation:

if he used 6 green, and 6x4=24, then u should do 3x4=12, so he used 12 blue

Answer: 36 total Legos

Step-by-step explanation:

First you divide 24 (the total number of green Legos) with 6(the number of Legos used per very 3 blue Legos).

24  ÷  6 = 4

We can multiply 3 with 4 for the total of blue Legos used.

3 × 4 = 12

Then add for the answer.

12 + 24 = 36

Answer:

x=160

Step-by-step explanation:

x×126=24×840

\(x=\frac{24 \times840}{126} =160\)

The Converse of the Pythagorean Theorem states that if the sum of the squares of the lengths of two sides of a triangle is equal to the square of the measure of its third side, then the triangle is a right triangle.

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, often called the Pythagorean equation: a² + b² = c²

The theorem is named for the Greek philosopher Pythagoras, born around 570 BC. The theorem has been proved numerous times by many different methods – possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.

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Answer:

A The inverse of a linear function is a function. - this is not always true.

If a logical vector z has at least one entry TRUE, the function all(!z) will always be false.

If a logical vector contains only TRUE items, the all() method returns FALSE; otherwise, it returns TRUE.

The any() function, on the other hand, gives a result of TRUE if a logical vector has at least one element that is TRUE and FALSE otherwise.

any(z) will always be TRUE if z contains at least one TRUE element since there is at least one TRUE element. On the other hand, depending on whether all of the components of z are TRUE, all(z) may or may not be TRUE.

any(!z) will always return FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.

Additionally, all(!z) will always return FALSE if any element is FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.

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If the sand falls at a rate of 16 cubic millimeters per second, a player would have approximately 6.25 seconds for their turn.

The rate of sand falling from the hourglass is given as 16 cubic millimeters per second. We need to find out the time available for a turn. Let's assume that the hourglass is filled with 'x' cubic millimeters of sand.

We can use the formula:

Volume = Rate x Time

Here, the volume of sand is 'x' cubic millimeters, the rate is 16 cubic millimeters per second, and we need to find the time available for a turn, which we can represent as 't' seconds.

So,

x = 16t

We can rearrange this equation to find 't':

t = x/16

This means that the time available for a turn is equal to the volume of sand in the hourglass divided by the rate at which the sand falls.

We don't know the exact volume of sand in the hourglass, but let's assume it's 100 cubic millimeters.

Then,

t = 100/16

t = 6.25 seconds

So, in this case, a player would have approximately 6.25 seconds for their turn before all of the sand falls to the bottom of the hourglass.

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Answer:

\(x = 7 \sqrt[3]{2} \)

3. In the equation y = bx + a, the variable "b" represents the slope, and "a" represents the intercept.

4. The speed is considered the independent variable .

3. In a linear equation of the form y = mx + c (where m is the slope and c is the y-intercept), the equation y = bx + a is written in a slightly different format. The variable "b" is equivalent to the slope "m" in the traditional equation, and "a" represents the intercept. The slope (b) determines the rate at which the dependent variable (y) changes with respect to the independent variable (x), while the intercept (a) represents the value of y when x is zero.

4. Given speed and stopping distance, which is the dependent variable, which is the independent variable?

In the context of speed and stopping distance, the dependent variable would typically be the stopping distance, and the independent variable would be the speed.

The dependent variable is the one that is expected to change or be influenced by the independent variable. In this case, we assume that speed affects stopping distance. As the speed of a vehicle increases, it generally takes longer to bring the vehicle to a stop, resulting in a greater stopping distance. Therefore, stopping distance depends on the speed at which the vehicle is traveling.

Consequently, the speed is considered the independent variable since it can be controlled or varied, and we expect it to have an influence on the dependent variable, which is the stopping distance.

Alternate hypothesis:

The alternate hypothesis is formulated to suggest that there is an influence of one variable on another. In this scenario, the alternate hypothesis could be: "There will be a significant influence of speed on stopping distance."

By conducting an experiment or collecting data, one could test this hypothesis statistically to determine whether speed has a significant impact on stopping distance.

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Slope intercept form: y = mx + b

m = slope

b = y-intercept

We are given the slope of 5/3.

We can solve the y-intercept by using the given slope and coordinate:

y = 5/3x + b

5 = 5/3(6) + b

5 = 10 + b

5 - 10 = 10 - 10 + b

-5 = b

Put this into the final equation:

y = 5/3x - 5

Best of Luck!

The cone should have its maximum volume. V=1/*3r2h is the formula for calculating the volume V of a cone with height h and radius r.

The cone has a volume of

V=πr2h/3

Therefore, we must calculate the values of r and h in terms of R. R is the diameter of the cone's top-circular circle, and h is the cone's height.

R is the cone's slant height, and it serves as the hypotenuse of a right triangle.

R2 = h2 + r2, or r2 = R2-h2.

So V = (1/3)π

[R2-h2]

h = (π/3)[R2h-h3]

You must take the derivative of the cone's volume, set it to zero, then solve for h to determine the cone's maximum volume.

dV/dh=(π/3)[R2-3h2]

R2-3h2=0 --> h2=R2/3 -> h = R/√3

Now we can determine r:

r2=R2-R2/3 = (2/3)R2

The volume formula with r and h substituted:

V = (π/3)

r2h = (π/3)(2R2/3)

(R/√3)

V(R)=2πR3/(9√3)

The complete question is:

A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup (Your answer may depend on R).

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Answer:

\(n = 100\)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Transitional forms in the fossil record, including Archaeopteryx, provide evidence for the pattern of evolution known as "gradualism."

This pattern suggests that species change over time through a slow and continuous process of accumulation of small, incremental changes. Transitional fossils like Archaeopteryx exhibit characteristics that are intermediate between two different groups of organisms, indicating a gradual transition from one form to another.

The presence of transitional fossils supports the idea that species do not undergo abrupt transformations but instead evolve gradually over long periods of time.

These fossils provide a tangible link between different groups of organisms, such as dinosaurs and birds in the case of Archaeopteryx, and offer evidence for the gradual transformation of one group into another. This supports the broader concept of evolution as a slow and continuous process of change in populations over generations.

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The set notation will be S ∈ { 14, 16, 18, 20, 22, 24, 26, 28}.

When we have to represent set having defined specific number, we do my writing the number in curly bracket. When we have to represent the set having collection of continuous number between two specific defined number, we do by writing first and last number in small bracket.

As the terms given for the set is 14, 16, 18, 20, 22, 24, 26, 28 which are defined and specific terms so it will be represented by writing it in curly brackets

i.e. S ∈ { 14, 16, 18, 20, 22, 24, 26, 28}

Final answer,  the set will be S ∈ { 14, 16, 18, 20, 22, 24, 26, 28}

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Answer:

it is 72

Step-by-step explanation:

Answer:

pie(\(\pi\))*radius square

Step-by-step explanation:

100\(\pi\) or 314.2

Answer:

A= 10^2 x pi= 314m

Step-by-step explanation:

The probability of getting a poker hand (5 cards) containing 3 cards of one denomination and 2 cards of a second denomination or full house is 0.00144 or about 0.14%.

To calculate the probability of getting a full house, we need to first determine the total number of possible 5-card hands. This can be done using the formula for combinations:

C(52, 5) = 2,598,960

There are 2,598,960 possible 5-card hands from a standard deck of 52 cards.

Next, we need to count the number of ways to get a full house. To do this, we first choose the denomination for the 3-of-a-kind (there are 13 options), then choose which 3 of the 4 cards of that denomination to include (there are C(4,3) ways to do this), and finally choose the denomination for the pair (there are 12 remaining denominations to choose from), and which 2 of the 4 cards of that denomination to include (there are C(4,2) ways to do this). So the total number of full houses is:

13 * C(4,3) * 12 * C(4,2) = 3,744

Therefore, the probability of getting a full house is:

P(full house) = 3,744 / 2,598,960

≈ 0.00144

So the probability of getting a full house is approximately 0.00144 or about 0.14%.

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An ellipse has the general equation

(x/a)² + (y/b)² = 1

(actually, this is an ellipse whose semimajor and -minor axes are parallel to the x- and y-axes, but one can rotate any ellipse so that it has the same configuration, and the area remains constant)

Convert to a kind of rescaled polar coordinates, using

x = a r cos(t)

y = b r sin(t)

Then the interior of such an ellipse is the set

E = {(r, t) : 0 ≤ r ≤ 1 and 0 ≤ t ≤ 2π}

The area of E is then given by the integral

\(\displaystyle \iint_E dA\)

Compute the Jacobian determinant for this change of coordinates. The Jacobian is

\(J = \begin{bmatrix}x_r & x_t \\ y_r & y_t\end{bmatrix} = \begin{bmatrix}a \cos(t) & -a r \sin(t) \\ b \sin(t) & b r \cos(t)\end{bmatrix}\)

Then we have Jacobian determinant

|det(J)| = |a b r cos²(t) + a b r sin²(t)| = |a b r| = |a b| r

since r ≥ 0.

The area of E is then

\(\displaystyle \iint_E dA = \iint_E |ab| r \, dr \, dt\)

\(\displaystyle \iint_E dA = \int_0^{2\pi} \int_0^1 |ab| r \, dr \, dt\)

\(\displaystyle \iint_E dA = 2\pi |ab| \int_0^1 r \, dr\)

\(\displaystyle \iint_E dA = \boxed{\pi |ab|}\)