convert into metre
47feet, 9inch​

Answer:

b)

Step-by-step explanation:

the easy way of doing this in my opinion is just to multiply the options by their corresponding values so in this case 3x10=30 and 5x14=70 then add those together and it equals 100 points with a total of 24 questions

Answer:

I do not like pugs.  I think they are quite ridiculous creatures.

Step-by-step explanation:

Answer:

I do like pugs

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-3(-2) - 1 is equal to 5. And 2(-2) is equal to -4.

Answer:

-0.2

Step-by-step explanation:

-3y - 1 > 2y

Add 3y to both sides

-1 > 5y

Divide both sides by 5

-0.2

Hope I helped :)

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Answer:

6(3+8)

Step-by-step explanation:

6(3+8)= 6×3+6×8=18+48

this is the given value of A

The correct expressions for total area = 6x3 + 6x8 or 6(3+8)

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

In the given figure,

Area of one room = 18 square feet

Area of second room = 48 square feet

Now since we can see that,

the width of both rooms is same,

therefore,

we have 6 as common factor of 18 and 48

As, 18 = 6x3

      48 = 6x8

Total are of the given figure = 18 + 48

Since we know that,

Area of rectangle = length x width

Therefore,

area of both rooms  = 18 + 48

                                 = 6x3 + 6x8

                                 = 6(3+8)

Hence,

The rooms total area of both rooms = 6x3 + 6x8 or 6(3+8)

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The measure of length of HB is 4.1 inches and the measure of angle HDB is 30 degrees.

From the given figure, ED= 8.2 inches.

Each triangle will have an apex angle of calculated using the formula: angle in a circle (point) divided by the number of sides

That is, 360 / 6

= 60°

Angle HGB = 60/2 = 30 degrees

Side HB = 1/2 of the side length of the hexagon

Side HB = 1/2 × 8.2 inches

Side HB  = 4.1 inches

Therefore, the measure of length of HB = 4.1 inches and the measure of angle HDB is 30 degrees.

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Question: Assume the complete question as, Two forces of 20 Newton’s and 30 Newton’s²  act on a point. The resultant force is 40 Newton’s. Find the angle between the two forces

Answer:

75.5°

Step-by-step explanation:

From the question,

Using cosine rule,

R² = P²+Q²-2PQcosθ................... Equation 1

Where θ angle between the the two forces.

Given; R = 40 Newton, P = 20 Newton, Q = 30 Newton.

Substitute these values into 1

40² = 20²+30²-[2×20×30(cosθ)]

1600 = 400+900-(1200cosθ)

1600 = 1300-1200cosθ

1200cosθ = 1600-1300

1200cosθ = 300

cosθ = 300/1200

cosθ = 0.25

θ = cos⁻¹(0.25)

θ = 75.5°

Hence the angle between the forces is 75.5°

Solution:

Given the shape;

Acute angles measure less than 90 degrees.

Right angles measure 90 degrees.

Obtuse angles measure more than 90 degrees.

ANSWER:

The order pair of point B is (1.75,1.25).

What is order pair?

 A pair that has two values stated in a specific order between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane. Two numbers in a specific order. Usually, parentheses are used to write this: (12,5)

This can be used to display a graph's position where the "x" (horizontal) value appears first and the "y" (vertical) value appears second.

(12,5) is therefore 12 units down and 5 units up.

Here the given point B is,

coordinate value of x axis= 1.75

coordinate value of y axis = 1.5

Then the order pair of point B is,

=> (x,y) =(1.75,1.5)

Hence the order pair of B is (1.75,1.25).

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The length of RM is approximately 19.90 cm.

In the given scenario, we have a circle with diameter LM and a chord PQ. Let's denote the midpoint of chord PQ as R. To find the length of RM, we can use the properties of perpendicular bisectors.

Since LM is a diameter, it passes through the center of the circle, denoted as O. As a result, we can conclude that angle LOM is a right angle, and OR is perpendicular to PQ.

We can use the Pythagorean theorem to find the length of RM. According to the theorem, in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

LM² = RM² + LR²

Given that LM = 20 cm and PQ = 16 cm, we can determine LR by subtracting half of PQ from LM:

LR = (LM - PQ) / 2 = (20 - 16) / 2 = 4 / 2 = 2 cm

Substituting the known values into the Pythagorean theorem equation:

20² = RM² + 2²

400 = RM² + 4

RM² = 400 - 4

RM² = 396

Taking the square root of both sides:

RM = √396 ≈ 19.90 cm

Therefore, the length of RM is approximately 19.90 cm.

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(a) Is this an observational study or an experiment?

ans=Observational study – no treatment was imposed

(b) What are the explanatory and response variables?

ans=explanatory – time spent in child care from birth to age 4 response – adult rating of children’s behavior

d) Does this study show that child care causes children to be more aggressive? Explain.

No. Observational studies cannot show cause-and-effect

Researchers=someone whose job is to study a subject carefully, especially in order to discover new information or understand the subject better: She is a leading researcher in the field.

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Answer:

<x = 55 degrees

<y = 55 degrees

<z = 70 degrees

Step-by-step explanation:

The 125 degree angle and x are supplementary since they form a straight line, which means that their degrees add up to 180. To find x, the interior angle, we must subtract 125 from 180.

180 - 125 = 55

Angle x is 55 degrees. Since the sides opposite x and y are marked with lines, they are congruent, and since the sides are congruent, the angles must be, too. So, y is also 55 degrees.

Finally, the angles in any triangle add up to 180 degrees. To find z, we must subtract the values of x and y from 180.

180 - 55 - 55 = 70, so z is 70 degrees.

Brainliest, please :)

❄Hi there,

the external angle & the interior angle form a linear pair, which means, if you add these angles together, you'll arrive at 180°.

Using this knowledge let's set up an equation and find x:

\(\triangleright \ \sf{125+x=180}\). We let x be the desired angle.

\(\triangleright \ \sf{x=180-125=55}\)

So the interior angle is \(\angle\sf{55}\textdegree\).

❄

Answer:

7.5 I guess?

Step-by-step explanation:

??

Step-by-step explanation:

l dont understand this can you explain

Answer:

Median: 23.5

Lower Quartile: 22.1

Upper Quartile: 26.3

Step-by-step explanation:

To calulate the median, arrange the set of values in order ranging from the least to greatest. Then select the value that's the middle point in the set.

21.0, 21.6, 22.1, 22.3, 22.7, 23.5, 24.0, 25.5, 26.3, 28.6, 29.2

The median value would be 23.5 as it's the middle point in the set.

To calculate the lower quartile, select the median of the lower half of the set.

21.0, 21.6, 22.1, 22.3, 22.7, 23.5, 24.0, 25.5, 26.3, 28.6, 29.2

To calculate the upper quartile, select the median of the upper half of the set.

21.0, 21.6, 22.1, 22.3, 22.7, 23.5, 24.0, 25.5, 26.3, 28.6, 29.2

Answer:

b

Step-by-step explanation:

The distributive property allows the formula (-128 x 46) + (128 x -36) to be simplified to -10496.

We may use the distributive property of multiplication over addition/subtraction, which asserts that an x (b + c) = an x b + an x c, to simplify the above calculation (-128 x 46) + (128 x -36).

Let's dissect the expression in detail:

(-128 x 46) + (128 x -36)Let's first assess the goods:

-128 x 46 = -5888

128 x -36 = -4608

Reintroduce these values into the phrase now:

(-5888) + (-4608)

We simply add the absolute values of the two negative numbers while maintaining the sign of the negative:

-5888 + (-4608) = -10496

Consequently, -10496 is the reduced expression.

Last but not least, the phrase (-128 x 46) + (128 x -36) becomes -10496. .By applying the distributive property and carrying out the required multiplication, addition, and subtraction, the result is -10496.

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Answer:

4.75

Step-by-step explanation:

9514 1404 393

Answer:

  7x +9y = -1

Step-by-step explanation:

The standard form of the equation for a line is ...

  ax +by = c

where a, b, c are mutually prime integers and a > 0.

We can get this form by multiplying the equation by 9, adding 7x+27.

  y - 3 = -7/9(x +4)

  9y -27 = -7x -28 . . . . . multiply by 9, eliminate parentheses

  7x +9y = -1 . . . . . . . . . add 7x+27 to both sides

_____

The attached graph shows both equations. They are in different colors and textures so you can see they are the same line.

If Yu has 12 coins , that consists of 5 pennies , 4 nickels and 3 dimes , then the probability that total value of coins that lands up exactly 30 cents is 5/120 .

Yu have 12 coins, consisting of 5 pennies, 4 nickels and 3 dimes, and he tosses them all in the air,

we have to find the probability that total value of the coins that land heads up is exactly 30 cents ,

number of pennies ⇒ 0.01 = 5 ;

number of nickels ⇒ 0.05 = 4 ;

number of dimes ⇒ 0.10 = 3  ;

there will be 5 "30cent" combinations  ;

the combinations are  :

⇒ 0.10 × 3

⇒ 0.10 × 2 + 0.05 × 2

⇒ 0.10 × 2 + 0.05 × 1 + 0.01 × 5

⇒ 0.10 × 1 + 0.05 × 4

⇒ 0.10 × 1 + 0.05 × 3 + 0.01 × 5

so , the probability that total value lands up exactly 30 cents is = 5/(5×4×3×2)

= 5/120 ;

Therefore, the probability that the total value of the coins that land heads-up is exactly 30 cents is 5/120 .

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Answer:

I think it C

Step-by-step explanation:

Let's solve your equation step-by-step.

(k−4)2=9

Step 1: Simplify both sides of the equation.

k2−8k+16=9

Step 2: Subtract 9 from both sides.

k2−8k+16−9=9−9

k2−8k+7=0

Step 3: Factor left side of equation.

(k−1)(k−7)=0

Step 4: Set factors equal to 0.

k−1=0 or k−7=0

k=1 or k=7

Answer:

k=1 or k=7

Hope this helps! :)

Square both sides:

K -4 = sqrt(9)

With the answer being a square root rewrite with a postive and negative value:

K-4 = sqrt(9)

And

K-4 = -sqrt(9)

Simplify each:

K-4 = 3

And

K-4 = -3

Solving for k in each one you get answer

C. {1,7}

The distances between each pair of points are as follows:

1. (1, -4.6) and (3, -7): 3.12 (rounded to two decimal places)

2. (-6, -5) and (2, 0): √89 (exact value)

M = (-12, -1) and M = (4, 0): √257 (exact value)

4. (0, -8) and (3, 2): √109 (exact value)

3. (-1, 4) and (1, -1): √29 (exact value)

We may use the distance formula to calculate the separation between each pair of points:

d = √((x₂ - x₁)² + (y₂ - y₁)²),

where the two points' coordinates are represented by (x1, y1) and (x2, y2), respectively.

Let's determine the separation between each pair of points:

1. (1, -4.6) and (3, -7):

d = √((3 - 1)² + (-7 - (-4.6))²)

= √(2² + (-2.4)²)

= √(4 + 5.76)

= √9.76

= 3.12 (rounded to two decimal places)

2. (-6, -5) and (2, 0):

d = √((2 - (-6))² + (0 - (-5))²)

= √(8² + 5²)

= √(64 + 25)

= √89 (exact value)

M = (-12, -1) and M = (4, 0):

d = √((4 - (-12))² + (0 - (-1))²)

= √(16² + 1²)

= √(256 + 1)

= √257 (exact value)

4. (0, -8) and (3, 2):

d = √((3 - 0)² + (2 - (-8))²)

= √(3² + 10²)

= √(9 + 100)

= √109 (exact value)

3. (-1, 4) and (1, -1):

d = √((1 - (-1))² + (-1 - 4)²)

= √(2² + (-5)²)

= √(4 + 25)

= √29 (exact value)

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Answer:

\( \sqrt{i} \)

Step-by-step explanation:

i = -1

This is a complex number

in here we take -1 = i

The length of the square is 9 inches when a rectangle with a surface area of 180 inches is created by lengthening one side of a square by 1 inches and shortening another by 2 inches.

Given that,

A rectangle with a surface area of 180 inches is created by lengthening one side of a square by 1 inches and shortening another by 2 inches.

We have to find the square's side length should be determined.

We know that,

Let us take the length of the square as x.

So,

The length of one side of a square is increased by 1 inch means

x+1

The length of other side of the square is diminished by 2 inch to form a rectangle means

2x

The area of the rectangle is length × breath.

180=(x+1)(2x)

2x²+2x-180=0

x²+x-90=0

x²+10x-9x-90=0

x(x+10)-9(x+10)=0

(x+10)(x-9)=0

We get,

x+10=0 ⇒ x=-10

x-9=0 ⇒ x=9

The length can not be negative so x=9

Therefore, The length of the square is 9 inches when a rectangle with a surface area of 180 inches is created by lengthening one side of a square by 1 inches and shortening another by 2 inches.

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Answer:

\(\frac{4}{5}\)x-2=x

\(\frac{4x}{5}\)-2=x

\(\frac{4x}{5}\)+\(\frac{5(-2)}{5}\)=x

\(\frac{4x+5(-2)}{5}=x\)

x= -10

Step-by-step explanation:

a) The area of the base of the round pan is 63.62 in², (b) The volume of the round pan is 127.23 in³ and (c) The rectangular pan has a larger volume than the round pan.

a) The area of the base of the round pan is calculated using the formula for the area of a circle Area = πr²

where π is approximately equal to 3.14 and r is the radius of the circle.

The radius of the round pan is half of the diameter, so the radius is 4.5 inches.

Area = 3.14 * 4.5²

Area = 63.62 in²

b) The volume of the round pan is calculated using the formula for the volume of a cylinder:

Volume = πr²h

where π is approximately equal to 3.14, r is the radius of the cylinder, and h is the height of the cylinder. The height of the round pan is 2 inches.

Volume = 3.14 * 4.5² * 2

Volume = 127.23 in³

c) The rectangular pan has a larger volume than the round pan because the rectangular pan has a larger base area. The rectangular pan has a base area of 54 in², while the round pan has a base area of 63.62 in².

The rectangular pan is also 2 inches deep, just like the round pan. This means that the rectangular pan has a volume of 108 in³, while the round pan has a volume of 127.23 in³.

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The expected value of the number of points Drake makes when he shoots two free-throw shots is 1.066.

Expected value can be calculated by multiplying the probability of each possible outcome by its associated payout and then summing up all of those values.

Here, let’s consider that Drake takes two free throws where each of them is worth one point, and his free-throw shooting percentage is 53.3%.

The probability of Drake making a free throw is 53.3/100 = 0.533. The probability of him missing a free throw is 46.7/100 = 0.467.

Thus, The expected value of the number of points Drake makes when he shoots two free-throw shots= (0.533 * 1) + (0.467 * 0)= 1.066

Therefore, Drake's expected value for one point per free-throw shot is 1.066.

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The value of sin(A + B) = 72/85 if sin A = − 24/25 with 270° ≤ A ≤ 360° and cos B = − 15/17 with 90° ≤ B ≤ 180°.

To find sin(A + B), we will use the formula:

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

First, we need to find sin(A) and cos(A). Since sin A = −24/25 with 270° ≤ A ≤ 360°, we know that A is in the fourth quadrant where sin A is negative and cos A is positive. Using the Pythagorean identity, we can find cos A:

cos² A + sin² A = 1
cos² A + (-24/25)² = 1
cos² A = 1 - (-24/25)²
cos A = √(1 - 576/625) = √49/625 = 7/25 (positive because A is in the fourth quadrant)

Therefore, sin A = -24/25 and cos A = 7/25.

Next, we need to find sin(B) and cos(B). Since cos B = −15/17 with 90° ≤ B ≤ 180°, we know that B is in the second quadrant where sin B and cos B are both negative. Using the Pythagorean identity, we can find sin B:

sin² B + cos² B = 1
sin² B + (-15/17)² = 1
sin² B = 1 - (-15/17)²
sin B = -√(1 - 225/289) = -√64/289 = -8/17 (negative because B is in the second quadrant)

Therefore, sin B = -8/17 and cos B = -15/17.

Now, we can substitute these values into the formula for sin(A + B):

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
= (-24/25)(-15/17) + (7/25)(-8/17)
= 360/425
= 72/85

Therefore, sin(A + B) = 72/85.

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After one week, Reggie has 195 trade cards. He buys 16 more trade cards every week. he have 371 trading cards after 12th week.

According to the question, given that

After one week, Reggie has 195 trade cards. He buys 16 more trade cards every week.

he have trading cards in the 12th week = 195 + 16 * (12 - 1)

                                                                    = 195 + 16 * 11

                                                                     = 195 + 176

                                                                      = 371

Therefore, we get after solve  371 trading cards after 12th week.

Mathematicians refer to equations with a degree of 1 as linear equations. The largest exponent of terms in these equations is 1, which equals. These can also be broken down into linear equations with one variable, two variables, three variables, etc. A linear equation with the variables X and Y has the conventional form a X + b Y - c = 0, where a and b are the corresponding coefficients of X and Y and c is the constant.

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Reggie has 195 trade cards after a week. Each week, he purchases 16 additional trading cards. After the 12th week, he had 371 trading cards.

In response to the query, assuming that

Reggie has 195 trade cards after a week. Each week, he purchases 16 additional trading cards.

he have trading cards in the 12th week = 195 + 16 * (12 - 1)

                                                                   = 195 + 16 * 11

                                                                    = 195 + 176

                                                                     = 371

As a result, by the end of the 12th week, we have solved 371 trade cards.

Equations with a degree of 1 are referred to be linear equations by mathematicians. In these equations, the term with the biggest exponent is equal, or 1. These can also be reduced to linear equations involving one, two, three, etc. variables. The standard form of a linear equation with the variables X and Y is a X + b Y - c = 0, where a and b are the corresponding coefficients of X and Y, and c is the constant.

Answer:

x = 33

Step-by-step explanation:

∡ CBE = ∡DBA = 57°

The sum of the interior angles of a triangle results 180°

∡BDA = it´s a right angle = 90°

Then:

57° + 90° + x = 180°

147° + x = 180°

x = 180° - 147°

x = 33°

The given integral ∫(-2 to 1) x^2 dx converges and its value is 3.

To determine if the integral converges or diverges, we evaluate the definite integral ∫(-2 to 1) x^2 dx.

Integrating x^2 with respect to x, we get (1/3) x^3. Evaluating the definite integral over the given bounds, we have:

(1/3) [x^3] from -2 to 1.

Substituting the bounds into the antiderivative expression, we get:

(1/3) [1^3 - (-2)^3] = (1/3) [1 - (-8)] = (1/3) [9] = 3.

Since the value of the integral is a finite number (3), we conclude that the given integral converges. The definite integral has a finite value when evaluated over the interval from -2 to 1.

Therefore, the given integral ∫(-2 to 1) x^2 dx converges and its value is 3.

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