Solve the system using elimination.

Answer:

[tex]||\overrightarrow{v}||\approx14.64[/tex]

Step-by-step explanation:

The magnitude of a vector [tex]\displaystyle \overrightarrow{v}=\langle x,y\rangle[/tex] is [tex]||\overrightarrow{v}||=\sqrt{x^2+y^2}[/tex], which essentially describes the length of the vector itself between the initial and terminal points:

[tex]||\overrightarrow{v}||=\sqrt{x^2+y^2}\\\\||\overrightarrow{v}||=\sqrt{(10.5)^2+(10.2)^2}\\\\||\overrightarrow{v}||=\sqrt{110.25+104.04}\\\\||\overrightarrow{v}||=\sqrt{214.29}\\\\||\overrightarrow{v}||\approx14.64[/tex]

The surface area of the parallelogram based prism is 1548 units squared.

The prism has 2 parallelogram base and 4 rectangular faces.

Therefore,

surface area of the prism = 2 (area of the base) + area of the 4 rectangular faces

Therefore,

surface area of the prism = 2(12 × 17) +2(19 × 13) + 2(19 × 17)

surface area of the prism = 2(204) + 2(247) + 2(323)

surface area of the prism =  408 + 494 + 646

surface area of the prism = 1548 units²

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Answer:

The measure of an exterior angle of a triangle is always greater than the measure of either of the opposite interior angles of the triangle

sum of angles in a triangle ABC is 180

interior angles +exterior =180

Answer:

pythagorean theorem

Step-by-step explanation:

Answer: 206

Step-by-step explanation: addion

Answer:

441,000 dollars after 12 years

Answer:

36,000

Step-by-step explanation:

36,000 plus the 10,500

Answer:

37.7 in.

Unfortunately, I cannot include the question with the full steps.

Here is the equation:

[tex]\pi * 12 = 37.7[/tex]

[tex]diameter = 12 \: in[/tex]

the circumference of the circle.

[tex]c = \pi \: d[/tex]

[tex]c = \pi \times 12[/tex]

[tex]c = 37.6991118431[/tex]

[tex]c = 37.7 \: in[/tex]

therefore, the circumference of the circle is 37.7 inch.

The function g(x) is a rational function, and none of the options represent the range of the function g(x)

The function is given as:

g(x) = -2/x + 1

The above function is undefined at point x = 0.

This is so because -2/x is undefined.

So, we have:

g(0) = -undefined + 1

g(0) = undefined

This means that the range of the function is:

(-infinity, 1) and (1, infinity)

None of the options represent the range of the function g(x)

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Answer:

Speaking as an investor, this stock isn’t a good buy. There appears to be too much fluctuation in prices for the year, and it’s difficult to tell from this information whether any growth is expected on this investment for the long term.Speaking as an owner of this stock, it might not be the right time to sell. It depends on whether other opportunities are waiting. There doesn’t appear to be a trend of decrease, so it’s possible there will be more growth in the future to help cover the selling and purchase of another stock. Currently, the stock appears somewhat safe, so it would be better to be patient and wait for change.

Step-by-step explanation:

SAMPLE ANSWER!!!!

Answer:

Step-by-step explanation:

Remark

The value of the y can be found by using the Geometric Mean.  To use the said mean, you must compare parts of one triangle to parts of the second triangle. In this case, the small triangle containing boy 4 and y, must be compared to the triangle use y and 12

Formula

This translates to

4 / y = y/12

Explanation. The two triangles y and 4 and y and 12 are similar. The short side on the small right triangle on the left is 4. The second longest side on the same triangle is y.

In the triangle containing y and 12 The short side is y and the second side length is 12. You have to read this a couple of times to get the meaning of the two ratios.

Solution

4/y = y / 12                    Cross multiply

y^2 = 4 * 12

y^2 = 48                       Take the square root of both sides.

√y^2 = √48

y = √2 * 2 * 2 * 2 * 3

y = 2 * 2 * √3

Answer

y = 4√3  

Answer:

y = 4√3 y = 4√3

Step-by-step explanation:

i hope it's help

10m

[tex]looking \: at \: the \: diagram \\ horizontal \: lenght = 6m \\ vertical \: lenght = 8m \\ the \: \: lenght \: of \: the \: fencing \: can \: be \: calculated \\ using \: pythagoras \: theorem \\ let \: the \: lenght \: of \: the \: ladder = h \\ h {}^{2} { = 6}^{2} + 8 {}^{2} \\ h {}^{2} = 36 + 64 \\ h {}^{2} = 100 \\ square \: root \: bothsides \\ \sqrt{h {}^{2} } = \sqrt{100 } \\ h = 10 \\ therefore \: lenght \: of \: the \: ladder \: = 10m[/tex]

Answer: 224 cubic feet

Step-by-step explanation: If the base of the tank is 56 sq feet in area then the dimensions could be, (2,28) (4,14) (7,8) for example. However, it doesn't really matter. It's only important that the information we know is that it is area and there are two dimensions. Since volume is determined by base x width x height, we do 56 x 4. Or using one of the factored pairs that works, for example, 8 x 7 x 4 = 224.

Answer:

Step-by-step explanation:

the first thing you have to do is to get the x and the y axis and add them to then decrease that by o,5 and then you get f of which you multiply it by 2 adn you get your answer.

Answer:

The answer is A

Step-by-step explanation:

Answer:

The parent function for a quadratic is f(x) = x^2. If there is something other than this, that is how you know it is a quadratic transformation.

Using the cosine and tangent ratios:

value of x = 9/2

value of y = 9√3

Cosine ratio is cos ∅ = adjacent/hypotenuse

Tangent ratio is tan ∅ = opposite/adjacent

Find x using the cosine ratio:

cos 60 = x/9

x = (cos 60)(9)

x = (1/2)(9) [cos 60 = 1/2]

x = 9/2

Find y using the tangent ratio:

tan 60 = y/9

y = (tan 60)(9)

y = (√3)(9)

y = 9√3

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Answer:

2x^2 (4x^2-x-9)

Step-by-step explanation:

8x^4-4x^3-18x^2

2x^2 (4x^2-x-9)

Answer:

the answer for first square is 18

Answer:

4448 feet²

Step-by-step explanation:

Using the formula [tex]A = 2((l)x(w) + (l)x(h) + (w)x(h))[/tex] we can take the length, width and height and plug them in. [tex]A = 2(44x21 + 44x20 + 21x20)[/tex], solving this equation we get [tex]4448 feet^{2}[/tex].

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

A

Step-by-step explanation:

Given

Solving

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve it ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} = \dfrac{9}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \sqrt{ \dfrac{9}{4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ \sqrt{9} }{ \sqrt{4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{3}{2} [/tex]

So, the correct choice is A

Answer:

4(7×7×2)

volume of all 4 pans is 392

Step-by-step explanation:

1 pan volume = 7×7×2= 98

4 pan volume = 98×4= 392

4(7×7×2)= 392

Answer:

392 i think

Step-by-step explanation:

i might be wrong but hope u get it right

This question has the same problem as the other one you shared. Neither cot(32°) = 4/3 nor cos(44°) = 7/9 are true.

But if we indulge the author for a moment, we have from the double angle identity

[tex]\sin(2x) = 2\sin(x) \cos(x)[/tex]

so if x = 32°, then

[tex]\sin(64^\circ) = 2\sin(32^\circ) \cos(32^\circ)[/tex]

We also have from the Pythagorean identity

[tex]\sin^2(x) + \cos^2(x) = 1 \implies 1 + \cot^2(x) = \csc^2(x) \\\\ \implies \csc(x) = \pm \sqrt{1+\cot^2(x)} \\\\ \implies \sin(x) = \pm \dfrac1{\sqrt{1+\cot^2(x)}}[/tex]

Now, 0° < 32° < 90°, so both sin(32°) and cos(32°) are positive.

If we assume cot(32°) = 4/3 to be true, it follows that

[tex]\sin(32^\circ) = \dfrac1{\sqrt{1+\left(\frac43\right)^2}} = \dfrac35[/tex]

[tex]\cos(32^\circ) = \sqrt{1 - \sin^2(32^\circ)} = \dfrac45[/tex]

[tex]\implies \sin(64^\circ) = 2\times\dfrac35\times\dfrac45 = \dfrac{24}{25}[/tex]

so E is the only correct choice regardless of the baseless assumptions made by the question.

Answer:

a) 27
b) 19

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000/3[tex]\pi[/tex] or 1000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

Step-by-step explanation:

here you go hope this helps you

Answer:

yes,you are finding the probalitiy of exactly 5 not

being broken

Answer:

x is equal to 15.62 .......

Answer:

V = Bh

Step-by-step explanation:

The equations will yield the volume of a triangular prism is V = Bh.

Where,

V = Volume

B = Base

h = Height

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Kavinsky

Answer:

x = -3

y = -4

Step-by-step explanation:

We're given:

Let the first number be x and the second be y.

Translate the given information into equations:

Now, solve using elimination:

- [tex]2x-4y=10\\\hspace{5} 4x-4y=4\\\rule{60}{0.3}\\-2x=6[/tex]

Solve for x:

[tex]-2x=6\\x=-3[/tex]

Therefore, the first number is -3.

Now, solve for y using x:

[tex]2x-4y=10\\2(-3)-4y=10\\-6-4y=10\\-4y=16\\y=-4[/tex]

Therefore, the second number is -4.