Which is the solution of the equation 12 = n/3?

A. n = 4

B. n = 9

C. n = 15

D. n = 36​

Answer:

C

Step-by-step explanation:

Have a nice day

Answer:

x = 2u -v

Step-by-step explanation:

X is the excess when we try to squeeze 2 u's on the side v,therefore

x = 2u -v

The value of x in terms of u and v is √(u²/2 + v²/2).

The parallelogram shown is a rhombus, so all four sides are congruent. This means that the sides labeled u and v are congruent. Since the opposite sides of a parallelogram are equal, the sides labeled u and v are also parallel.

The diagonals of a rhombus bisect each other at right angles. This means that the angles formed by the diagonals are 90°.

The diagonals of a rhombus also divide the rhombus into four congruent right triangles. This means that the triangles labeled 1, 2, 3, and 4 are all congruent.

We can use the Pythagorean theorem to find the length of x. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is x, so the square of the hypotenuse is x². The other two sides are u/2 and v/2. The square of each side is u²/4 and v²/4. Therefore, we can write the following equation:

x² = u²/4 + v²/4

Solve for x:

x² = u²/2 + v²/2

x = √(u²/2 + v²/2)

Therefore, x is equal to √(u²/2 + v²/2).

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Answer:

B'(3, 5)

Step-by-step explanation:

Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,

(x, y) → (x - h, y + k)

If h = 4 and k = 3,

[tex](x, y)\rightarrow(x-4,y+3)[/tex]

Following this rule coordinates of the image point of B will be,

B(7, 2) → B'(7 - 4, 2 + 3)

           → B'(3, 5)

Therefore, coordinates of the image point B' will be,

B'(3, 5)

Answer:

[tex]UCL = 0.078[/tex]

[tex]LCL = 0[/tex]

Step-by-step explanation:

Poorly formatted question (see attachment)

From the attachment, we have:

[tex]n = 135[/tex] --- the sample size

[tex]Samples = 20[/tex] --- The number of samples

[tex]\sum np = 87[/tex] --- Number of leaking tubes

First, we calculate the number of observations

[tex]\sum n = n * Samples[/tex]

[tex]\sum n= 135 * 20[/tex]

[tex]\sum n= 2700[/tex]

Using 3 sigma control limit, we have:

[tex]z = 3[/tex]

Calculate [tex]\bar p[/tex]

[tex]\bar p = \frac{\sum np}{\sum n}[/tex]

So, we have:

[tex]\bar p = \frac{87}{2700}[/tex]

[tex]\bar p = 0.0322[/tex]

Next, calculate the standard deviation

[tex]s_p = \sqrt{\frac{\bar p* (1-\bar p)}{n}}[/tex]

So, we have:

[tex]s_p = \sqrt{\frac{0.0322* (1-0.0322)}{135}}[/tex]

[tex]s_p = \sqrt{\frac{0.03116}{135}}[/tex]

[tex]s_p = \sqrt{0.0002308}[/tex]

[tex]s_p = 0.0152[/tex]

The control limits is then calculated as:

[tex]UCL = \bar p + z * s_p[/tex] --- upper control limit

[tex]LCL = \bar p - z * s_p[/tex] --- lower control limits

So, we have:

[tex]UCL = \bar p + z * s_p[/tex]

[tex]UCL = 0.0322 +3 * 0.0152[/tex]

[tex]UCL = 0.078[/tex]

[tex]LCL = \bar p - z * s_p[/tex]

[tex]LCL = 0.0322 - 3 * 0.0152[/tex]

[tex]LCL = -0.013[/tex]

Since the calculated LCL is less than 0, we simply set it to 0

[tex]LCL = 0[/tex]

So, the p chart control limits are:

[tex]UCL = 0.078[/tex]

[tex]LCL = 0[/tex]

Answer:

9 cm

Step-by-step explanation:

The volume of a square based pyramid is given as :

V = 1/3a²h

Where ; a = base edge ; h = Height

Volume, V = 48 cm³ ; a = 4cm

48 = 1/3 * 4² * h

48 = 1/3 * 16h

48 * 3 = 16h

144 = 16h

h = 144 / 16

h = 9 cm

Height = 9cm

Answer:

4. 52 ft^2

5. 25 ft^2

Step-by-step explanation:

15 -11 To get the width of scrapbooking which is = 4

4 * 13 = 52 ft^2

9 - 4 = 5 ft

5 * 5 = 25ft

equation: 39 - 12 = x

x = 27 (stamps)

Answer:

33 and 55

Step-by-step explanation:

[tex]\frac{x}{y}: \frac{3}{5}[/tex]

x + y = 88

3 + 5 = 8

[tex]y(\frac{x}{y}): y(\frac{3}{5})[/tex]

[tex]x= \frac{3}{5}y[/tex]

[tex]y+\frac{3}{5}y=88[/tex]

[tex]\frac{8y}{5}=88[/tex]

[tex]5(\frac{8y}{5})=5(88)[/tex]

8y = 440

8y ÷ 8 = 440 ÷ 8

y = 55

x + y = 88

x + 55 = 88

x + 55 - 55 = 88 - 55

x = 33

Answer:

Its B since the decimals are lower than the data.

9514 1404 393

Answer:

  regular octagon

Step-by-step explanation:

In order for a shape to tessellate a plane, there must be a way to arrange the shapes so that the sum of angles at a node is 360°. An arrangement of kites is shown in the attachment. Of course, squares are used to tile planes all the time, as their four 90° corners fit together nicely.

An octagon has internal angles of 135°, which is not a sub-multiple of 360°. Hence there is no way for octagons to fit together to tile a plane.

Octagons will not tessellate a plane.

Answer:

the only zero should be -1

Answer:

A. 56.52 inches

Step-by-step explanation:

the Circumfernce = 2 x π x r

= 2×3.14×9

= 3.14×18

= 56.52 inches

Answer:

Step-by-step explanation:

Well, I really don’t like graphic approaches in math, so hear ya go a formula:

Although there are easier ways that work for some quadratics, but this formula works for them all. (It is atached, have a look)

So,

( -(-2)+- square root of ((-2)^2-4(1)(-40)) ) / 2(1)

Note that for a hear I use one, since there is nothing in front of x.

( 2 + (12.8) ) / 2 < with plus

( 2 -(12.8) ) / 2 < with minus

X = 7.4

Or

X = -5.4

(Quad equations have 2 answers)

Answer:

x = 77.8 square yards

Step-by-step explanation:

Given the following data;

Area = 700 square feet

To find the area in square yards;

Conversion:

1 yard = 3 feet

1 square yard = 9 square feet

x square yard = 700 square feet

Cross-multiplying, we have;

700 = 9x

x = 700/9

x = 77.8 square yards

Answer:

5.4 (rounded)

Step-by-step explanation:

the volume of a cube is length*width*height so here all three are 1 3/4 (same as 1.75) and so you multiply 1.75 * 1.75 * 1.75 and that gives you 5.4 when rounded.

Answer:

a positive number as 0 is a neutral.

Answer:

To the nearest tenth, find the volume of a sphere with a diameter of 10 cm. Use 3.14 for pi. Answer choices: 314.2 cm3

Step-by-step explanation:

Answer:

I don't understand pls explain

Step-by-step explanation:

22.99 × 2 + 2.02 + 16 × 2 + 26= $106

Answer:

slope (m) = 5

Step-by-step explanation:

rise/run, -10/-2 = 5

Answer:

Where are the graph(s)?

Step-by-step explanation:

Answer: Its A on eng for the graphs.

Step-by-step explanation:

Answer:

If you are looking for a fraction, it would be 2/3 lemon per cup of lemonade

Step-by-step explanation:

If you simplify 4/6 it would be 2/3

Answer:

Step-by-step explanation:

1.

[tex] \tan \beta = \frac{1}{ \cot \beta } = - \frac{3}{2 \sqrt{10} } = - \frac{3 \sqrt{10} }{20} [/tex]

[tex] \csc \beta \tan \beta = \frac{1}{ \cos \beta } = \sec \beta [/tex]

Therefore,

[tex] \sec \beta = ( \frac{7}{3} )( - \frac{3 \sqrt{10} }{20} ) = - \frac{7 \sqrt{10} }{20} [/tex]

2.

[tex] \csc y = \frac{1}{ \sin y} = - \frac{ \sqrt{6} }{2} [/tex]

[tex] = > \sin y = - \frac{ \sqrt{6} }{3} [/tex]

Use the identity

[tex] \cos y = \sqrt{1 - \sin ^{2} y} \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{1 - {( - \frac{ \sqrt{6} }{3}) }^{2} } = - \frac{ \sqrt{3} }{3} [/tex]

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

[tex]\tan \beta = \frac{ \sin y}{ \cos y} =( - \frac{ \sqrt{6} }{3} )( - \frac{3}{ \sqrt{3} } ) = \sqrt{2} [/tex]

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

[tex] \sin x = \sqrt{1 - \cos ^{2} x} = \sqrt{ \frac{11}{6} } [/tex]

Solving for tan x:

[tex] \tan x = \frac{ \sin x}{ \cos x} = (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) = \frac{ \sqrt{66} }{5} [/tex]

Problem 1

Answer:  It is possible to draw a triangle

-------------------------

Explanation:

We use the triangle inequality theorem. Consider a triangle with sides a,b,c

A triangle is only possible if and only if the following three inequalities are all true

Basically, if we can add any two sides to get a sum larger than the third side, then we can form a triangle.

If a = 3, b = 4, and c = 5, then

All three conditions are met, therefore we have a triangle possible.

=======================================================

Problem 2

Answer:  No, a triangle is not possible

-------------------------

Explanation:

For this problem, and the next two problems, we'll use the triangle inequality theorem also.

Notice that a+b = 4+5 = 9 but this is not larger than c = 9

So the condition a+b > c is not true, and therefore we do not have a triangle possible.

=======================================================

Problem 3

Answer:  No, a triangle is not possible

-------------------------

Explanation:

Similar to problem 2. A triangle isn't possible because a+b = 5+6 = 11 which is not larger than c = 12.

=======================================================

Problem 4

Answer:  It is possible to draw a triangle

-------------------------

Explanation:

A triangle is possible here because

=======================================================

Problem 5

Answer:   a, c, b

-------------------------

Explanation:

Here are two rules we'll use here

This applies to triangles only.

From the diagram, we can see that the 28 inch side is the longest. Angle 'a' is opposite this, making angle 'a' to be the largest angle.

Then we see that angle b is opposite the smallest side, so angle b is the smallest angle. Angle c is somewhere in between angles 'a' and b. So that's why we get the order a, c, b when sorting the angles from largest to smallest.

Answer:

-54

Step-by-step explanation:

Substitute the numbers for the variables.

-(5)+7(-7)

=-5-49

=-54

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{-b+7x}\\\\\mathsf{-5+7(-7)}\\\\\mathsf{7(-7)=\boxed{\large\textsf{\bf -49}}}\\\\\mathsf{-5+49}\\\\\mathsf{= \boxed{\large\textsf{\bf -54}}}\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge\bf -54 }}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A= 21.65063509

Step-by-step explanation:

triangle area is =base*hight/2

Because we have a right triangle we can apply the trigonometric functions

sin30 =base/hypothenuse = base/10

cos 30 = hight/hypothenuse =hight/10

sin30 = base /10  ; multiply both sides by 10

base = 10*sin30

cos 30 = hight /10 ; multiply both sides by 10

hight = 10 cos 30

A= 10*sin30*10*cos30/2 =

      100*sin 30*cos 30/2=

            50*sin30*cos30 = ; use calculator make sure is set up in degrees

A= 21.65063509

Answer:

two sides have the same length which is less than the length of third side

Step-by-step explanation:

The sum of the lengths of the two sides is equal to the length of the third side.

Option D is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

In a triangle,

The side opposite to the equal angle are equal.

Now,

We have two 45 angles.

This means,

The sides opposite to the 45 angles will be congruent.

And,

The other angle is 90 degrees.

Which is a right triangle

Thus,

The sum of the lengths of the two sides is equal to the length of the third side.

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Answer:

x = 3 or x = 4.

Step-by-step explanation:

We are given the following inequality:

[tex](x - 2)(x - 5) < 0[/tex]

It is a product, and a product is negative when one term is positive and the other is negative.

First case:

[tex]x - 2 > 0 \rightarrow x > 2[/tex]

And

[tex]x - 5 < 0 \rightarrow x < 5[/tex]

Thus, in the natural set: x = 3 and x = 4.

Second case:

[tex]x - 2 < 0 \rightarrow x < 2[/tex]

And

[tex]x - 5 > 0 \rightarrow x > 5[/tex]

Empty set.

Union of the cases:

Second case is the empty set, so we only count the first case. Thus x = 3 or x = 4.