Solve for x

3 = x/2

X =

Answer:

[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]

Answer:

x = 8

Step-by-step explanation:

                                                             √3                  4√3

Note that cos 30 degrees (which is ---------) equals ---------  

                                                                2                      x

which simplifies to:

    1         4

  ----   = -----    

    2         x

so that x = 8                                                                                                

Answer:

44%

0.44 is 44% of 1.

Answer:

[tex]V=2143.57\ mm^3[/tex]

Step-by-step explanation:

Given that,

The radius of the sphere, r = 8 mm

We need to find the volume of the sphere. The formula for the volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Put all the values,

[tex]V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3[/tex]

So, the volume of the sphere is equal to [tex]2143.57\ mm^3[/tex].

Answer:

its 45

Step-by-step explanation

It's right I did it on khan

Answer:

what number is it less than? i need that number to solve it

once you give it to me i will solve it

Step-by-step explanation:

i got it right cus im smart

Answer:

3/10 of all the M & M's are red and blue.

Step-by-step explanation:

Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:

1/10 = 0.10

1/5 = 2/10 = 0.20

1/10 + 2/10 = X

3/10 = X

Therefore, 3/10 of all the M & M's are red and blue.

Answer:

1/9

Step-by-step explanation:

The probability of getting 9 as the sum when 2 dice are thrown is 1/9.

Answer:

the surface of hexagonal prism is 12 cm

Answer:

13

Step-by-step explanation:

45+42=87

100-87=13

Answer:

The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:

6101 = 100

1879 = X

1879 x 100/6101 = X

187,900 / 6101 = X

30,798 = X

Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Answer:

Step-by-step explanation:

Answer:

55.5

Step-by-step explanation:

Answer:

Area of trapezoid = 21 cm²

Step-by-step explanation:

Given:

Length of rectangular shape = 4 cm

Width of rectangular shape = 3 cm

Base of triangle = 3 cm

Number of triangle = 3 cm

Find:

Area of trapezoid

Computation:

Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]

Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]

Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]

Area of trapezoid = 12 + 9

Area of trapezoid = 21 cm²

Answer:

The answer is

a. 24 square units

Answer:

answer: x = 55

Step-by-step explanation:

Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125

180 - 125 = 55 Hope this helps!

Answer:

x = 55°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180° for x

x = 180° - (98 + 27)° = 180° - 125° = 55°

Answer:

A

Step-by-step explanation:

Recall that sin = opposite over hypotenuse

For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.

The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem

[tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse

we are given that the legs = 2 and 4 and need to find the hypotenuse

That being said we plug in what we are given and solve for c

[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]

In order to get the exact value of c we must get rid of the exponent.

To do so we can take the square root of both sides

[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]

hence, the hypotenuse = √20

Now lets look back at the question

Find sin∠A to the nearest hundredth.

well remember sin = opposite over hypotenuse

The opposite of sin∠A is 2 and the hypotenuse is √20

Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595

Our last step is to round to the nearest hundredth

We get the sin∠A = .45

Answer:

The expected value is $0.1125

Step-by-step explanation:

The number of packages worth $0.70 in the grab bag = 20

The number of packages worth $0.60 in the grab bag = 15

The number of packages worth 30 cents in the grab bag = 5

The amount paid to pick one package = 50 cents

The number of packages in the bag, n = 20 + 15 + 5 = 40

The total value of the packages in the grab bag, 'V', is given as follows;

V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 =  $24.5

The average value of the packages in the bag, A = V/n

∴ A = $24.5/40 = 0.6125

The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows

Whereby a $0.70 package is picked up, we have;

E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10

Whereby a $0.60 package is selected, we have;

E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375

Whereby a $0.30 package is selected, we have;

E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)

Therefore, the expected value, E(X), is found as follows;

E(X) = E(X)₁ + E(X)₂ + E(X)₃

E(X) = 0.1 + 0.0375 - 0.025 = $0.1125

The expected value, E(X) = $0.1125

Answer:

(x + 3)(x - 1)

Step-by-step explanation:

Given

x² + 2x - 3

Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)

The factors are + 3 and - 1 , since

3 × - 1 = - 3 and 3 - 1 = + 2 , then

x² + 2x - 3 = (x + 3)(x - 1) ← in factored form

What is the factor of x² + 2x - 3

[tex] \rightarrow [/tex] x² + 3x - x - 3 = 0

[tex] \rightarrow [/tex] x(x + 3) -1(x + 3) = 0

[tex] \rightarrow [/tex] (x + 3) (x - 1) = 0

[tex] \therefore [/tex] Either, x + 3 = 0 => x = -3 and x - 1 = 0 => x = 1

So, x = -3 and 1

Answer:

Length AB = square root [5^2 + 3^2]

AB = square root [34]

AB = 5.8309518948

= 5.8 rounded

Step-by-step explanation:

Answer:

the money reducted = 1870 - 580

                                  = 1290

now the percentage = 1290/1870 x 100

                                  = 68.9%

Step-by-step explanation:

Answer:

Step-by-step explanation:

the money reducted = 1870 - 580

                                 = 1290

now the percentage = 1290/1870 x 100

                                 = 68.9%

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A P # X

The z-score of the value P ( x < 92 ) is given by z = -1 with standard deviation of 6 is P ( x < 92 ) = 0.16

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the distribution be a normal distribution where

The mean of the data is μ = 98

The standard deviation is σ = 6

Now , the Z-score is determined by z = (x - μ)/σ

On simplifying , we get

when x = 92

P ( x < 92 ) is

z = ( 92 - 96 ) / 6

z = -1

So , the p value of P ( x < 92 ) is 0.1587

On rounding to the nearest value , we get

P ( x < 92 ) = 0.16

Hence , the z-score is solved

To learn more about z-score click :

https://brainly.com/question/25638875

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Answer:

339 cm²

Step-by-step explanation:

Using the relation for the surface area of a cylinder :

A = 2πrh

r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm

Height, h = 24 cm

A = 2 * 22/7 * 2.25 * 24

A = 339.29200 cm²

Surface Area =339 cm²

About 339cm³ of cardboard will be needed for the inner tube.

To make inner tube card board needed is 339 cm² of the material.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Here, diameter = 4.5 cm

then, radius = 4.5/2 = 2.25 cm

          height = 24 cm

Surface area = 2πrh

                       = 2 X 3.14 X 2.25 X 24

                       = 339.12 cm²

Thus, to make inner tube card board needed is 339 cm² of the material.

Learn more about Surface area from:

https://brainly.com/question/2835293

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Answer:

A,

23/6v+28

Step-by-step explanation:

Answer:

D. 23/6v+28

Step-by-step explanation:

Answer:

(x is number)

x=7>5

Step-by-step explanation:

hope this helps

Answer:

too blurry

Step-by-step explanation:

Answer:

1. Missing length-8.48528137424

2. Missing length- 13.9283882772

3. Missing length-17.3205080757

4. Missing length- 14.7986485869

Answer and Step-by-step explanation:

The answer is parallelograms.

This is because they all have 4 sides and have 2 pairs of parallel sides, which is enough to say that it is a parallelogram.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

As,

In the picture there is a parallelogram, rhombus, rectangle and a square.

We know,

Properties of parallelogram:-

All the above conditions are also same In a rhombus, rectangle and a square.

Hence,

Parallelogram best describes all the above shapes

Answer:

m and 100are co-interior angles

so;

m+100=180. (being sum of co-interior angles)

m=180-100

m=80

like wise;

n=100

Answer:

6.4

Step-by-step explanation:

5^2 + 4^2 = c^2 (pythagoras)

c^2 = 41

c = 6.4