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53 + 47 = 100 : simples? But those itching for their Good Will Hunting moment, the Guinness Book of Records puts Goldbach's Conjecture as the current longest-standing maths problem, which has been around for 257 years. It states that every even number is the sum of two prime numbers: for example, 53 + 47 = 100.

Answer:

x=7

Step-by-step explanation:

Ok so first off, the x variable being in absolute value form will not change the outcome of the problem at all since there are no other x variables in the equation.

x-2=5

(add 2 on both sides)

x=7

Answer:

AAS stand for "angle,angle,side" and means that we have two triangles where we know two angles and non- include side are equal.if two angles and the non include side of one triangle are equal to the corresponding

angles and side of another triangle, the triangle are congruent..

and the answer is B. not congruent

Answer:

Step-by-step explanation:

it's radius is 6 so diameter is 12 .

12^2+x^2=15^2

144+x^2=225

x^2=111

x=underradical111

Answer:

956

Step-by-step explanation:

Answer:

7.8 is 7.81 because it hasn't changed 1-5 doesn't round up and this one didn't therefore the answer is 7.81 or 7.809

Answer:

x^3+2x+2+2/x

Step-by-step explanation:

A train is moving at a uniform speed of 80 kilometre per hour.

a) how far will it travel in 15 minutes

b) find the time required to cover a distance of 250 km. { as per direct and inverse propositions}.

a)

Given that the train is moving at a uniform speed of 80 km/h.

Time taken = 15 minutes

First we will convert the time

[tex] \small \sf Time \: taken = 15 min = \dfrac{ \cancel{15}}{ \cancel{60}}hr = \dfrac{1}{4}hr [/tex]

Now we will calculate the distance

We know,

[tex] ✪ \: \small\boxed{ \frak{ {Distance }= {Speed} × Time }}[/tex]

Substituting the values in the given formula

[tex] \small\sf{ Distance = \cancel{ 80} \: \: 20 \: km/ \cancel{ hr} × \dfrac{1}{ \cancel{4}} \cancel{hr} =20km }[/tex]

Distance covered in 15 minutes = 20 km

[tex] \rule {40mm}{2pt}[/tex]

b)

Given that the train is moving at a uniform speed of 80 km/h.

Distance covered = 250 km

Calculating the time

We know,

[tex] ✪ \: \small\boxed{ \frak{ Time = \dfrac{Distance}{Speed}}}[/tex]

Substituting the values in the given formula

[tex] \small\sf{ Time = \dfrac{250 km}{80 km/hr} =3 \: hrs \: 20 \: mins }[/tex]

[tex] \star \: \small\sf{ Final \: Answer }[/tex]

[tex] ••═════════════••══════[/tex]

Answer:

Joshua is 11 and Mckay is 10.

Answer:

yes

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

3 1/3 can be written as 10/3

then we have 3/10/3 we then have 3x3/10 which equals 9/10.

Answer:

7.20 dollars

multiply $4 and 80%

then add ur answer with 4

Step-by-step explanation:

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U matter.

The world needs u

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ur beautiful no matter ur shape, size, color, gender.. anything

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i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

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Answer: 121 meters

Step-by-step explanation:

In picture

Answer:

x = 7

y = 7√3

Step-by-step explanation:

Formulas : -

sin θ = opposite side / hypotenuse

When θ = 60,

Opposite side = y

Hypotenuse = 14

sin 60 = y / 14

√3 / 2 = y / 14

y = √3 x 14 / 2

= √3 x 7

y = 7√3

When θ = 30,

Opposite side = x

Hypotenuse = 14

sin 30 = x / 14

1 / 2 = y / 14

x = 1 x 14 / 2

= 1 x 7

x = 7

Note : -

The value of,

sin 30 = 1 / 2

cos 60 = 7√3

A 120° angle and the side lengths can form more than one unique triangles

Malik's claim about the triangle is true

From the question, we have Malik's claim to be:

A 120° angle and side lengths of 3 cm and 4 cm can form more than one unique triangle

The above claim is true;

This is so because, the 120 degrees angle can be between the side lengths of 3 cm and 4 cm and the angle can be located not between the side lengths

This means that there are at least two unique triangles that can be formed using the given parameters

Hence, Malik's claim about the triangle is true

Read more about unique triangles at:

https://brainly.com/question/17972372

The true solution of the  [tex]\rm 3log2+log8=2log(4x)[/tex]  is 2.

It is given that the:

[tex]\rm 3log2+log8=2log(4x)[/tex]

It is required to find the value of [tex]\rm x[/tex].

It is another way to represent the power of numbers ie.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

Some properties of  Logarithm:

[tex]\rm logx+logy=log(xy)\\\rm x logy=logy^x[/tex]

We have:

[tex]\rm 3log2+log8=2log(4x)\\\\\rm By \ using \ properties \ of \ Logarithm\\\\\rm log2^3+log8=log(4x)^2\\\rm log(8\times8)=log16x^2\\\rm log64=log16x^2\\\rm 64=16x^2\\\rm 4=x^2\\x=2[/tex]

Thus, the true solution of the given expression is 2.

Learn more about the Logarithm here:

https://brainly.com/question/163125

Answer: B

Step-by-step explanation:

Simple because Im the man the simple

Answer: 78

Explanation: Whenever we deal with an evaluation problem, make sure to always use parenthses when substituting numbers in for variables.

Notice that we have a set of parenthses in our original problem.

To avoid the confusion of having too many sets

of parenthses, let's change the parenthses to brackets.

So we have 2(3) [(5) + 8].

Simplifying from here, we have (6) [(13].

Multiplying, we get 78.

Answer:

D.

Step-by-step explanation:

6*13=78

Answer:

The STO button stands for store so it will save the number in the memory and to get it back press m

Answer:

This matrix is amplified by exponential sequencing

Answer: 40 degrees

Step-by-step explanation:

Answer:

D, B, E

Step-by-step explanation:

Try plotting the graph on desmos

Answer:

$5130.84

Step-by-step explanation:

100 + 3 = 103%

103% = 1.013

$5000 x 1.013^2 = $5130.84

Hope this helps!

Answer:

-2.8 or -14/5

Step-by-step explanation:

To divide one fraction by another, there is a really cool method called Keep Change Flip

Keep the first fraction

Change the division sign to multiplication

Flip the numbers on the last fraction

Let's try it out.

Keep the 1/5

Change the ÷ to a ×

Flip the -1/14 to a -14/1

1/5 × -14/1

Multiply the top numbers by each other first

1 × -14 = -14

Now the bottom numbers

5 × -1 = -5

The fraction we have now is -14/5

It can also be written as -2.8

Answer:

C

Step-by-step explanation:

C because the symbol means Greater then or Equal too

So anything 90 or above would be true

Answer: Its D

Step-by-step explanation:

Thank me later.

Answer:

D

Step-by-step explanation:

4x - 12 - x  ≥ 3

Add 12 to both sides.

4x - x ≥ 15

Subtract x (or 1x) from 4x

4x - x = 3x

3x ≥ 15

Divide both sides by 3.

x ≥ 5

Hope I helped :)

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Answer:

If the * is supposed to be multiplication, then my answer is : 2(x-y)/(x^2+y^2-xy)

Step-by-step explanation:

Answer:

True, the diameter=2in and the circumference=6.28

Step-by-step explanation:

The circumference, C, of a circle is found by the following equation: C = 2 x pi x r where r equals the radius of the circle (or half its diameter) and pi = 3.14159 (a constant).

Thus, 6.28 = 2 x pi x r

Solving for r: 6.28/(2 x pi) = r

or: 6.28/(2 x 3.14) = 6.28/6.28 = r

thus r = 1 and since the diameter equals 2 x r, the diameter is 2.

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Answer:

Length = 45m

Breadth = 15m

Step-by-step explanation:

Dimensions of Rectangular field:

Let the breadth (B)=BC = x m

Length (L) = AB = 3x m

width of the road (w) = 5 m

Dimensions of inner rectangle:

length (l) = EF = L-2w

= 3x - 2×5

= (3x-10) m

breadth (b)=EH = B-2w

= (x-10) m

Given ,

Area of the path =500 m²

=> Area of ABCD - Area of EFGH = 500

=> L×B - l×b=500

=> (3x)× x - (3x-10)(x-10)=500

=> 3x²-(3x²-30x-10x+100)=500

=> 3x²-3x²+30x+10x-100=500

=> 40x=500+100

=> 40x = 600

=> x = 600/40

=> x = 15

Therefore,

Length (L) = 3x = 3×15 = 45m

Breadth (B) = x = 15m

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Answer:

D. hottub

Step-by-step explanation:

Answer:

a, b, c  are all equations  d non equation

Step-by-step explanation: