work out the area of a rectangle with base, b = 9.6mm and hight, h = 2mm

​

Answer:

Length= 30 in

Width= 10 in

Step-by-step explanation:

Let the width of the rectangle be x in.

Length of rectangle

= 3 (width)

= 3x

Perimeter of rectangle= 2(length) +2(width)

80= 2(3x) +2(x)

80= 6x +2x

8x= 80 (simplify)

x= 80 ÷8 (÷8 on both sides)

x= 10

Thus width of rectangle= 10 in

Length of rectangle

= 3(10)

= 30 in

Answer:

34293

Step-by-step explanation:

because it 36 and 45. it is right

Answer:

12

Step-by-step explanation:

Pythagoras Theorem is clearly used in this question.

To Calculate the Hypotenuse:

C = \(\sqrt{a^2+b^2}\)

The Adjacent angle has already given as 9, so you can factor that into the question.

In Order to calculate the Opposite angle you need to use the following formula.

\(b = \sqrt{c^2-a^2}\)

With the integers we already have for both Hypotenuse and Adjacent factored in this will be your equation:

\(b = \sqrt{15^2-9^2} = 12\)

Therefore you answer is 12, Hope this helps, feel free to make as brainilest.

Answer:3.8

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

anwser is 7

Step-by-step explanation:14-7 equals 7 then 7x7 49 then divide 7 by 49 then 3-2 then 7x1 equaks 7

Answer: This is the answer. please give me the brainliest. Thanks

1. Initial prediction for the data set with smaller Mean Absolute Deviation was Period A. Prediction was wrong.

2. The Mean Absolute Deviation for Period A is 1.8 and Period B, 1.1

This means that period B has a smaller Mean absolute deviation.

We start by finding the mean for each set;

Period A: Mean = (1×92 + 1×94 + 3×95 + 1×96 + 2×97 + 1×99 + 1×100)/10

= 960/10

= 96

Period B: Mean = (1×94 + 3×95 + 1×96 + 4×97 + 1×98)/10

= 961/10

= 96.1

Period A:

Mean Absolute Deviation = ((92-96) + (94-96) + 3(95-96) + (96-96) + 2(97-96) + (99-96) + (100-96))/10

Mean Absolute Deviation = (4 + 2 + 3 + 0 + 2 + 3 + 4)/10

Mean Absolute Deviation = 1.8

Period B:

Mean Absolute Deviation = ((94-96.1) + 3(95-96.1) + (96-96.1) + 4(97-96.1) + (98-96.1))/10

Mean Absolute Deviation = (2.1 + 3.3 + 0.1 + 3.6 + 1.9)/10

Mean Absolute Deviation = 1.1

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Answer:

I think it's  9/5 > 7/5

Step-by-step explanation:

Well, because 9 has more value than 7. Please don't be mad if I'm wrong.

Answer:

9\5 IS GREATER THAN 7\5

Step-by-step explanation:

WELL IF YOU LOOK YOU WILL SEE NINE IS GREATER THAN 7 EASY MATH HOPE I COULD HELP. PLEAAE MARK BRAINLYIEST

The standard matrix A is [ (1/2, √3/2) (√3/2, -1/2) ]

To find the standard matrix of a linear transformation, we need to find the images of the standard basis vectors under the transformation.

The standard basis vectors in R2 are (1,0) and (0,1). Let's find their images under T.

The image of (1,0) under a 30∘ clockwise rotation is (√3/2, 1/2). The image of this under reflection through the line y=x is (1/2, √3/2).

The image of (0,1) under a 30∘ clockwise rotation is (-1/2, √3/2). The image of this under reflection through the line y=x is (√3/2, -1/2).

The standard matrix of T is then the matrix whose columns are the images of the standard basis vectors:

A = [ (1/2, √3/2) (√3/2, -1/2) ]

= \(\left[\begin{array}{cc}1/2&\sqrt{3} /2\\\sqrt{3} /2&-1/2\end{array}\right]\)

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The product ( multiplication) of a number (x) and 8, decreased (minus) by 3, is less or equal (

≤) to 9.

Inequality:

8x-3 ≤ 9

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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Answer:

i do not understand your question

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

8×16=128

2×4=8

128+8=136m^2

answer: D

From the given expression, the factors are x+1 and x - 5 and the zeros of the function is equivalent to -1 and 5

Factorisation is defined as the breaking or decomposition of an entity. Given the quadratic equation below;

y=x² - 4x - 5

Factorize

y = x^2 - 5x + x - 5

y = x(x - 5) + 1(x - 5)

y = (x+1)(x-5)

From the given expression, the factors are x+1 and x - 5 and the zeros of the function is equivalent to -1 and 5

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Note that the size of angle x = 115°. This is a problem relating to the sum of angles in a circle. See the computation below.

The sum of angles in a circle is always equal to 360 degrees or 2π radians.

This means that the sum of the measures of the angles formed by any number of rays or line segments that meet at a common point, or vertex, and whose endpoints lie on the circle, will always add up to 360 degrees or 2π radians. This property is often used in geometry and trigonometry to solve problems involving circles and angles.

With regard to the above problem,

We are given three angles in a circle named as follows:

a) 81°

b) 164°

c) x

The above rule state that

81 + 164 + x = 360°

thus, x = 360 - 81 - 164

x = 360 -245

x = 115°

Thus the value of ∠x is  115°

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Full Question:

See attached image.

Answer:

\(4116\; {\rm ft^{3}}\), assuming that the two cylinders are of the same height.

Step-by-step explanation:

The volume of a cylinder of radius \(r\) and height \(h\) is \(\pi\, r^{2}\, h\).

If the two cylinders are of the same height \(h\), the volume of the two cylinders would be proportional to the square of their radii.

Let \(r_{0}\) and \(V_{0}\) denote the radius and volume of the smaller cylinder. Similarly, let \(r_{1}\) and \(V_{1}\) denote the radius and volume of the larger cylinder. Assuming that the height of both cylinders is \(h\):

\(V_{1} = \pi\, {r_{1}}^{2}\, h\).

\(V_{0} = \pi\, {r_{0}}^{2}\, h\).

Hence, \((V_{1}) / (V_{0})\) (ratio between the volume of the larger cylinder and the volume of the smaller cylinder) would be:

\(\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{\pi\, {r_{1}}^{2}\, h}{\pi\, {r_{0}}^{2}\, h} =\frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}\).

In this question, it is given that:

Rearrange the equation \(\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}\) to find an expression for \(V_{1}\), volume of the larger cylinder:

\(\begin{aligned}V_{1} &= \frac{{r_{1}}^{2}\, V_{0} }{{r_{0}}^{2}} \\ &= \frac{{(7\; {\rm ft})}^{2}}{{(3\; {\rm ft})}^{2}} \times (756\; {\rm ft^{3}}) \\ &= 4116\; {\rm ft^{3}} \end{aligned}\).

The length of BD is 22.

In the given scenario, let's consider the following information.

AD = 8

AE = 6

EC is 12 more than BD.

To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.

From the given information, we know that AD = 8 and AE = 6.

Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.

First, let's find the intercepted arc corresponding to AD:

Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16

Similarly, we can find the intercepted arc corresponding to AE:

Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12

Now, we know that EC is 12 more than BD.

Let's assume the length of BD as x.

BD + 12 = EC

Now, let's consider the intercepted arcs theorem:

Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C

16 - 12 = Angle B - Angle C

4 = Angle B - Angle C.

Since Angle B and Angle C are vertical angles, they are congruent:

Angle B = Angle C.

Therefore, we can say:

4 = Angle B - Angle B

4 = 0

However, we have reached an inconsistency here.

The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.

As a result, we cannot determine the length of BD based on the given information.

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Answer:

Gina has 5 large shipping boxes and 6 small shipping boxes.

Step-by-step explanation:

32 items to ship and 11 shipping boxes.

Large=4 items

4 X 5 = 20

Small=2 items

2 X 6 = 12

20 + 12 = 32

Therefore , the solution of the given problem of equation comes out to be the equation of the perpendicular bisector of that line segment (7, 3) and (-5, 9) is y = 2x + 4.

Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this case, leveling generates b + 7 rather than another algorithm that could analyze data provided by y + 7, split 12 into two parts, and create y + 7.

Here,

The midpoint formula can be used to determine the midpoint of the line segment whose ends are (7, 3) and (-5, 9):

=> ((7 + (-5))/2, (3 + 9)/2) = (1, 6)

the middle is thus (1, 6). The slope of the line going through (7, 3) and must now be determined. (-5, 9). The slope method is used to:

=>slope = (9 - 3)/(-5 - 7) = -6/12 = -1/2

The equivalent of -1/2 in the negative is 2.

=> y - y1 = m(x - x1)

where (x1, y1) is a location on the line and m denotes the slope. When we replace m = 2 with (1, x1, y1) = (1, 6), we obtain:

=> y - 6 = 2(x - 1)

By enlarging and condensing, we obtain:

=> y - 6 = 2x - 2

=> y = 2x + 4

the line segment whose ends are and the equation of the perpendicular bisector of that line segment (7, 3) and (-5, 9) is y = 2x + 4.

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Answer:

Her unit rate remained the same

Step-by-step explanation:

80 is twice as much as 40. 5 minutes is twice as long as 2 1/2 minutes. Her unit rate never changed.

Answer:

her unit rate remained the same

Step-by-step explanation:

Answer:

y³ + x³ = 1

First, differentiate the first time, term by term:

\({3y^{2}.\frac{dy}{dx} + 3x^{2}} = 0 \\\\{3y^{2}.\frac{dy}{dx} = -3x^{2}} \\\\\frac{dy}{dx} = \frac{-3x^{2}}{3y^{2}} \\\\\frac{dy}{dx} = \frac{-x^{2}}{y^{2}}\)

↑ we'll substitute this later (4th step onwards)

Differentiate the second time:

\(3y^{2}.\frac{dy}{dx} + 3x^{2} = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} + 6x = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{-x^{2} }{y^{2} })^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{x^{4} }{y^{4} }) = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + \frac{6x^{4} }{y^{3} } = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} = - 6x - \frac{6x^{4} }{y^{3} } \\\\\)

\(3y^{2}.\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{3y^{2}. y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 2xy^{3} - 2x^{4} }{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (y^{3} + x^{3})}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (1)}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x}{y^{5}}\)

Answer:

the ordered measure of the triangle from largest are:- 21, 18, 17

Expression for given numerical is: 9+ (2/x)

Given that we have an word equation that is 9 more than the quotient of 2 and  x

A quotient is a quantity produced by the division of two numbers.

Quotient of 2 and x is \(\frac{2}{x}\).

Nine(9) more  than 2/x is = 9+ (2/x)

So we have an expression that is:

              9+ (2/x)                          

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A company did a study on the physical activity level and weight gain of its employees. Age was not considered, so it might be an example of a confounding variable.

A confounding variable is an unmeasured third variable that influences, or confounds, the relationship between an independent and a dependent variable. For example, in a study looking at the relationship between smoking and lung cancer, age may be a confounding variable because people who smoke tend to be older than those who do not.

This would mean that age is influencing both smoking and the risk of lung cancer, so the true effect of smoking on the risk of lung cancer cannot be determined without taking age into account. The presence of a confounding variable can distort the results of an experiment and lead to inaccurate conclusions.

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Answer:

∠x and ∠y are congruent or equal

Step-by-step explanation:

∠x and ∠y are congruent or equal because their vertical angles are alternate interior angles.

OR vertical angle of ∠x is congruent with ∠y because they are both corresponding angles

OR vertical angle of ∠y is congruent with ∠x because they are both corresponding angles

Answer:

The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.

To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)

64 oz / 32 oz/quart = 2 quarts

Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer

So the total amount of water she needs is 2*34 = 68 quarts

To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)

68 quarts * 32 oz/quart = 2176 oz of water.

So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.

Answer:

Where are the statements?

Step-by-step explanation:

Answer: -8

Step-by-step explanation:

2 times 4. Is. 8 so that equivalent to 2 times -4 =. -8

Train X is 374.39 km far apart from train Y (along the hypotenuse) at 4:05 pm and 627.009 km far apart (along the hypotenuse) at 5:50 pm.

It goes without saying that the side opposite the right angle is the hypotenuse of a right triangle. This side of a right triangle is the longest.

given: Train X travels at a speed = 106 km/h

          Train X started moving on 1:15

           Train Y travels at a speed = 124 km/h

           Train Y started moving on 2:25 pm

a) Time taken by train X = 2 h 15 min = 2.83 h          

                          Speed = 106 km/h

                      Distance = speed * time

                      Distance = 106 * 2.83

 Distance travelled by train X towards west is 299.98 km.

           Time taken by train Y = 1 h 45 min = 1.75 h

                                      Speed = 128 km

                                  Distance = speed * time

                                  Distance = 128 * 1.75

 Distance travelled by train Y towards north is 224 km.

By using Pythagoras theorem,

(299.98)² + (224)² = hypotenuse²

89988 + 50176 = hypotenuse²

Hypotenuse = 140164 = 374.39  

Therefore, distance between train X and train Y at 4:05 pm along hypotenuse is 374.39 km.

b) Time taken by train X = 1 h 45 min = 1.75 h

                         Speed = 106 km/h  

                       Distance = speed * time

                       Distance = 106 * 1.75

 Distance travelled by train X is 185.5 km.

Total distance travelled by X = 299.98 + 185.5 = 485.48 km

           Time taken by train Y = 1 h 21 min = 1.35 h

                                      Speed = 128 km

                                  Distance = speed * time

                                  Distance = 128 * 1.35

 Distance travelled by train Y is 172.8 km

Total distance travelled by Y = 224 + 172.8 = 396.8 km

By using Pythagoras theorem,

(485.48)²  + (396.8)² = hyopotenuse²

235690.84 + 157450.24 = hypotenuse²

393141.08 = hypotenuse²

Hypotenuse = 627.009

Distance between train X and train Y at 5:50pm is 627.009 km.

c) Distance of train X from Evas station = 485.48km

                                                     Speed = 142 km/h

                                            Time taken = distance / speed

                                             Time taken = 485.48 / 142        

Time taken by train X to reach station is 3.42 h  

Distance of train Y from Evas station = 396.8 km

                                                     Speed = 128 km/h

                                            Time taken = distance / speed

                                             Time taken = 396.8 / 128

Time taken by train Y to reach station is 3.1 h

Therefore, train Y will arrive station first.

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The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

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Answer:

  1/60 gallon

Step-by-step explanation:

You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.

To find the amount remaining we subtract the amount used for the doghouse from the original amount:

  4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon

2/3 of that was used, so 1/3 of it remains:

  (1/3)(1/20 gallon) = 1/60 gallon

There is 1/60 of a gallon of paint left in the can.

__

Additional comment

In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.

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