Classify the four angles of the quadrilateral.

Answer:

X is 160 degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Answer:

X=160° because straight line =180

180°-20

160°

The rectangular prism is in the shape of cuboid

The volume of cuboid with length l, Breadth b, and height h is :

In the given figure we have:

Length=5/6 ft

Breadth=3/4 ft

Height =2/3 ft

Substitute the value and simplify:

Volume of given recatngular prism is : 5/6 cubic feet

Answer:

24

Step-by-step explanation:

i dont know if its correct

Answer: 18,042$

Step-by-step explanation:

Inflation makes the nominal GDP seem larger that the real GDP. Real GDP

19,485.4/108 * 100 = 18,042

Answer:

y = mx

Step-by-step explanation:

It depends on what form of the line that you want.  Usually the slope intercept form is wanted.

y = mx + b  We need to have the m (slope) and the b (the y-intercept)

The slope is the change in y over the change in x.

Ordered pairs are in the form (x,y)

(0,0) and (4,4)  Have x's of 4 and 0, and y's of 4 and 0.  We subtract these to find the changes in y and x.

\(\frac{4-0}{4-0}\)  This is \(\frac{4}{4}\) which is the same as 1. The slope (m) is 1.

Now we need to find the y -intercept.  The y intercept is the point where x is 0  (0,b).  They give us this point (0,0,)  So the y -intercept is zero.

y = 1m + 0

or y =mx

The volume of the cuboid whose sum of all perimeters is 96 cm and the ratio among its dimensions is 1:2:3 is 24,576 cm³.

Volume refers to the space occupied by a three-dimensional object.

Mathematically, the volume of a cuboid is the product of the multiplication operation of its length, width, and height.

The sum of all perimeters of a cuboid = 96 cm

The ratio among the dimensions = 1:2:3

Volume = length x width x height

Let the ratio of its length = 3

Let the ratio of its height = 2

Let the ratio of its width = 1

The sum of ratios = 6 (3 + 2 + 1)

Length = 3/6 x 96 = 48 cm

Height = 2/6 x 96 = 32 cm

Width = 1/6 x 96 = 16 cm

Volume = 24,576 cm³ (48 x 32 x 16)

Thus, the volume of the cuboid is 24,576 cm³.

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Answer:

1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

82

Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

If you take the answer, 2786 and multiple by 21

You get 58,506

Which if you subtract from 58,511 you would get 5

Which is r

The surface area of the sphere, to the nearest whole number, is 1318 cm².

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

The surface area of a sphere is expressed as:

SA = 4πr²

Where r is the radius of the sphere and π is the mathematical constant pi.

Given that the volume V is 4500 cm³.

First, we solve for the radius:

Volume =  (4/3)πr³

4500 = (4/3)πr³

4500 × 3 = 4πr³

13500 = 4πr³

r³ = 13500/4π

r = ∛( 13500/4π )

Now that we have the radius, we can calculate the surface area of the sphere using the formula:

SA = 4πr²

Substituting the radius we found:

SA = 4 × π × ∛( 13500/4π )²

SA = 1318 cm²

Therefore, the surface area is approximately 1318 cm².

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Answer:

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Step-by-step explanation:

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Answer:

£36,755

Step-by-step explanation:

£2300 + £34,455 = £36,755

Because he lost that much money, we should add that amount instead of subtracting it.

Answer:

Step-by-step explanation:

it think it 23 becasue u add

1 divide it by 2

Answer:

It will take 7.5 gardeners to plant 45 trees in 45 minutes

Step-by-step explanation:

It takes 3 gardeners 30 minutes to plant 18 trees.

Let's determine the rate of this 3 gardeners

Rate= 18 trees/30 minutes

Rate= 2/5 trees per minute

So 3 gardeners= 2/5 trees per minute

But then one Gardner= 2/(3*5) trees per minute

One Gardner=2/15 trees per minute

Let's determine the number of gardeners it will take to plant 45 trees in 45 minutes

One Gardner=2/15 trees per minute

X(22 /3)= 2/15*(22.5/3)

It will take 7.5 gardeners to plant 45 trees in 45 minutes

Answer:

the second one(20)

Step-by-step explanation:

If you pretend 20 is x, you solve the equation by pluging in x (20) into the equation and it gives you 70, 70 is what the big part is and 70+20 is 90, which is the size of a 90degree side.

4(20)-10

80-10

70

70+20=90

Answer: The answer to this question is 20 degrees

Step-by-step explanation:

So, you know that it's a straight line, which is 180 degrees. The angle on the very left is 90 degrees because it's a right angle.

So that means (x + 10) + x = 90 degrees because 180 - 90 = 90

Solve that equation for x:

x + 4x - 10 = 90

5x = 100

x = 20

So, your final answer is 20 degrees

Answer:

There are 12 edges in a rectangular prism.

Answer:

A rectangular prism has 12 edges.

Answer:

D

Step-by-step explanation:

x³ + 3x² ← factor out x² from each term

= x²(x + 3)

Step-by-step explanation:

18.5-6.69

11.81

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The translation does not change the shape and size of the geometry. But changes the location.

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

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Answer:

true because if it's positive it's greater than zero

Step-by-step explanation:

Answer:

The sample size will be "\(102.5494 \sim 102\)". A further explanation is given below.

Step-by-step explanation:

Let the sample size will be:

= n

The given values are:

Standard deviation,

= 1.4

ME,

= 0.3

As we know,

⇒ \(n=(Z \frac{a}{2}\times \frac{SD}{E})^2\)

On putting the estimated values, we get

⇒    \(=(2.17\times \frac{1.4}{0 .3})^2\)

⇒    \(=(\frac{3.038}{0.3})^2\)

⇒    \(=102.5494 \sim 102\)

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

\(56.7\) degrees

Step-by-step explanation:

The distance of \(115\) degrees from \(98.6\) degrees is \(115 - 98.6 = 16.4\) while the space of \(56.7\) degrees from \(98.6\) degrees is \(98.6-56.7 = 41.9\), so the answer is \(56.7\).

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▹ Answer

D. 8x⁴ + x³ - 4x² + 1

▹ Step-by-Step Explanation

Remove the opposites:

x⁴ + 3x³ - 2x³ - 5x² + x² + 1 + 7x²

Collect like terms:

8x⁴ + 3x³ - 2x³ - 5x² + x² + 1

8x⁴ + x³ - 5x² + x² + 1

8x⁴ + x³ - 4x² + 1

Hope this helps!

CloutAnswers ❁

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Answer:

Step-by-step explanation:

\(5^5 - 2^3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:5^5\::\quad 3125\\\\=3125-2^3\\\\\mathrm{Calculate\:exponents}\:2^3\::\quad 8\\\\=3125-8\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3125-8\:\\\\:\quad 3117\)

Solution of the inequality is q> 1/4 and in interval notation is (1/4 , ∞ ).

According to the question we have been given the inequality that is

                3/4q - 2/3q < 5/12q - 1/12

Solving the equation step by step we get

First simplifying 3/4q - 2/3q which will get q/12

Therefore,         q/12 < 5/12q - 1/12

moving all the terms with q on the left hand side we get

                       q/12 - 5/12q < -1/12

                       (q-5q)/12 < -1/12

                          -4q/12 < -1/12

multiplying both sides by 12 we get

                            -4q/12 * 12 < -1/12*12

                                -4q < -1

multiplying -1 both sides we get

                                  4q>1

                                     q >1/4

Hence solution of the inequality we get

                  (1/4 , ∞ )

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