for extra credit please help solve​

Answer:

m∠2= 39

Step-by-step explanation:

m∠2 = m∠1 -29

m∠2 = 107- m∠1

so  m∠1 -29 = 107- m∠1

m∠1 +m∠1 = 107 +29

2* m∠1 = 136 divide both sides by 2

m∠1 = 136/2 = 68

m∠2 = 68-29 = 39

The coordinates of the vertices for the image of the triangle U′V′W′ is

U′(1, 1), V′(−4, 0), W′(−1, 4)

To rotate a point 90 ° clockwise about the origin, we can apply the transformation (x, y) → (y, -x)

So applying this transformation to each vertex of triangle UVW we get

U(−1, 1) → U' = (1, 1)

V(0, −4) → V' = ( -4, 0)

W(−4, −1) → W' = (-1, 4)

Therefore the coordinates of the vertices for the image triangle U'V'W' are U′(1, 1), V′(−4, 0), W′(−1, 4)

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Answer: 1.55 and 0.65 in order

Step-by-step explanation:

6.19 / 4 = 1.55 and that is in the first box

4 / 6.19 = 0.65 and that is in the second box

Average rate of return for 3D Printer is 4% and for Truck is 9%.

Average income = Estimated total income/ useful life.

For 3D Printer,

Average Income = 4160/ 4

Average Income = $1040

For Truck,

Average Income = 15120/ 7

Average Income = $2160

Average Investment = (Investment + residual value)/ 2

For 3D Printer,

Average Investment = (52000 + 0)/ 2

Average Investment = $26000

For Truck,

Average Investment = (48000 + 0)/ 2

Average Investment = $24000

Average rate of return = Average Income/ Average Investment

For 3D Printer,

Average rate of return = 1040/26000

Average rate of return = 4%

For Truck,

Average rate of return = 2160/24000

Average rate of return = 9%

Hence, average rate of return for 3D Printer is 4% and for Truck is 9%.

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Answer:

\(n = { \boxed{ - \frac{2}{3} }}\)

Step-by-step explanation:

\( \frac{1}{( {\sqrt[3]{5}})^{2} } = {5}^{n} \\ \)

- Change or convert the cube root into an index form; ³√x = x^⅓

\( \frac{1}{( {5}^{ \frac{1}{3} }) {}^{2} } = {5}^{n} \\ \)

- Open the brackets by multiplying the powers; (a²)² = a²×²

\( \frac{1}{ {5}^{( \frac{1}{3} \times 2)} } = {5}^{n} \\ \\ \frac{1}{ {5}^{ \frac{2}{3} } } = {5}^{n} \)

- Following the law of indices below;

\({ \boxed{ \blue{ \pmb{( \frac{1}{ {x}^{a} } ) = {x}^{ - a} }}}}\)

- Therefore;

\( {5}^{ - \frac{2}{3} } = {5}^{n} \\ \)

- Since the bases (5) are the same, the powers are equal;

\(n = - \frac{2}{3} \)

The concept of density explains  how tightly packed together  the matter in an object is

The density of a material is a measure of how tightly packed matter is together.

The concept of density compares the quantity of matter the material has to its volume. A material with much matter in a certain volume has a high density.

An object with high density is considered highly dense or heavy and an object with low density is considered less dense. For example, the air is about 830 times less dense than water.

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Answer:

d because no x has more than one y value

Answer:

5

Step-by-step explanation:

This is the Pythagorean theorem:
\(a^{2} +b^{2} =c^{2}\)
The hypotenuse is c so we need to make c the subject:
\(c = \sqrt{a^{2}+b^{2} }\)
To do this I simply square rooted both sides.
Now we substitute values given to get the answer of the hypotenuse:
\(c = \sqrt{3^{2} + 4^{2} }\)
\(c = \sqrt{9+16}\)
\(c = \sqrt{25}\)
c=5
The lengths 3,4,5 of a triangle are known as a Pythagorean triple.
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².

Answer:

The 2nd answer point is correct

Step-by-step explanation:

Multiple sites

Answer:

bdFd574)466&!'!9+/"(&$4+√®=™]

The tangent function is given by:

And the cosine function is:

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

The possible length and width of the prism are \((x-4)m\) and \((x^2+4x+16)m\).

Step-by-step explanation:

The base of the rectangular prism is rectangular. Let \(l\) and \(w\) be the length and width of the base.

Area of the base\(= lw\)

Given that the volume,

\(V=(x^4+ 5x^3– 64x - 320) m^2\),

and the height,

\(h= (x+5) m\).

The volume of the prism = (Area of the base) x (Height).i.e.

\(V=lwh\)

\(\Rightarrow lw =\frac{V}{h}\)

\(\Rightarrow lw =\frac{(x^4+ 5x^3– 64x - 320)}{(x+5)}\)

\(\Rightarrow lw =\frac{(x+5)(x^3-64)}{(x+5)}\)

\(\Rightarrow lw =x^3-64\)

\(\Rightarrow lw =x^3-4^3\)

\(\Rightarrow lw =(x-4)(x^2+4x+16)\) [ using the identity \(p^3-r^3=(p-r)(p^2+pr+r^2)]\)

Hence, the possible length and width of the prism are\((x-4)m\) and \((x^2+4x+16)m\).

Answer:

look cuh yo no sabo cuhhhhhh

Step-by-step explanation:

no sabo weys

The maximum number of poles required to drive the load is 8.

full load speed = 120*f/p

850 = 120*60/p

p = 120*60/850

p = 8.47

since no. of poles are even so

p = 8

if number pole p = 8

synchronous speed Ns = 120*f/p = 120*60/8 = 900RPM

SLIP = (Ns - N)/Ns

s = (900-850)/900

s = 0.056

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The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2

It is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.

We have the angle measurements as;

Substitute the values

x + 1/2 x + 3/2x = 180

Find the lowest common multiple

2x + x + 3x /2 = 180

Add the numerators

6x/2 = 180

cross multiply

6x = 360

x = 60

Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2

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As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.

Four straight sides that are aligned and equal in length make up a rectangle, a two-dimensional geometric object. A rectangles has four right-angled angles (90 degrees). A rectangle can be thought of as a quadrilateral with all angles equal to 90 degrees, or as a trapezoid with two pairs of parallel sides. By multiplying the rectangle's length and breadth, the area of the rectangle may be determined. By summing the measurements of all four sides, one may get a rectangle's perimeter. In many commonplace items like window, book covers, and screens, rectangles are frequently used.

given

According to the information provided, the rectangle's base has a 69 cm width.

We also know that the height is equal to the base by two thirds. As a result, the rectangle's height can be determined as follows:

Height equals 2/3 of base height, or 69 cm.

size = 46 cm

Knowing the rectangle's base and height, we can use the following formula to get its perimeter:

P = 2l + 2w

P = 2(69 cm) + 2(46 cm) (46 cm)

P = 230 cm if P = 138 cm plus 92 cm.

As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.

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The complete question is: - In a rectangle the base measures 69 cm and the height is 2/3 of the base. Calculate the perimeter.[230] Please help with a photo

The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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Answer: 3 copies of 5 tenths = 3*0.5 = 1.5

Step-by-step explanation:

Ok, if we have:

"3 copies of a number B"

This is written as:

3*B

And we have that the number B is "5 tenths"

Now, a tenth is the first digit after the decimal point.

Then 5 tenths = 5*0.1 = 0.5

B = 0.5

3 copies of 5 tenths = 3*0.5 = 1.5

Answer:

x = 0.6

Step-by-step explanation:

3x - 1.1 = 0.7

3x = 1.8

x = 0.6

Answer:

x = .6

Step-by-step explanation:

3x – 1.1 = 0.7

Add 1.1 to each side

3x – 1.1+1.1 = 0.7+1.1

3x = 1.8

Divide each side by 3

3x/3 = 1.8/3

x = .6

Answer:

D) d ≥ 2.18

Step-by-step explanation:

d – 0.31 ≥ 1.87

d >_ 1.87 + 0.31

d >_ 2.18

The given graph shows that the function is periodic and fluctuates between y = -2 and y = 2. So, the range of the function is [-2,2].

The graph covers one period, which is from x = -3 to x = 3, and then repeats itself indefinitely in both directions. So, the domain of the function is (-∞, ∞).

In general, the domain of a function consists of all the possible input values that the function can take. In this case, since the function repeats itself indefinitely, it can take any input value from negative infinity to positive infinity.

So, the domain is (-∞, ∞). The range of a function, on the other hand, consists of all the possible output values that the function can produce.

In this case, the function oscillates between y = -2 and y = 2, so the range is [-2,2]. The interval notation for the domain is (-∞, ∞) and for the range is [-2,2].

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The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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The force for the case 1 is 64 pounds and the distance is 9 feet, it is:

Now, if the force is 36 pounds, let solve for the distance:

Hence the answer is 12 feet.

Answer:

2200

Step-by-step explanation:

Kilo means 1000, so kilometers are 1000 meters, therefore 2.2 kilometers = 2200 meters.

Answer: 2,200

Step-by-step explanation:

Multiply 2.2 with 1,000 because the km to meters conversion is 1,000.

Answer:

A becomes (0, -1)

B becomes (4, -1)

C becomes (1, -5)

Step-by-step explanation:

When any coordinate is reflected over x-axis, it y-coordinates are transformed into its opposite.

So,

A becomes (0, -1)

B becomes (4, -1)

C becomes (1, -5)