You should be able to find this
without a calculator.
cos(cos-¹ 0.3) = [?]

Answer:

Step-by-step explanation:

You did not post any question and I just retrieved all possible information from whatever is given.

If the length of garden is 9 feet ,breadth is 4 feet and Mark need to fence four gardens then the total fencing will be 104 feet.

Given The number of gardens is 4. The length and breadth of a garden is 9 feet and 4 feet.

We have to find total length of fencing Mark needs to surround all 4 gardens. Perimeter is the sum of all the sides of the rectangle. Length of opposite side of rectangle must be equal.

Perimeter of a rectangle=2(l+ b)

perimeter of 1 garden=2(l+ b)

=2(9+4)

=2*13

=26 feet

perimeter of 4 gardens will be 4*26

=104 feet.

Hence the total length of fencing that Mark needs to do is 104  feet.

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Answer:

[tex]x = \frac{-1 \pm \sqrt{33}}{4}[/tex]

Step-by-step explanation:

Hello!

We can solve the quadratic by using the Quadratic Formula.

Standard form of a Quadratic: [tex]ax^2 + bx +c = 0[/tex]

Quadratic Formula: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Given our equation: [tex]2x^2 + x - 4 = 0[/tex]

Plug in the values into the quadratic formula to solve.

The solution to the quadratic is [tex]x = \frac{-1 \pm \sqrt{33}}{4}[/tex].

The height of the smallest tank if the larger is 300cm tall will be 240cm.

Similar figures are those figures which are identical in shape, but not necessarily in size.

Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.

We can utilize scale factors because the tanks have comparable shapes.

The scale factor for volume will be given as,

The volume of small tank/volume of big tank = 512000/1000000 = 0.512

Since volume, if the cube so,

Scale factor = [tex](0.512)^{1/3}[/tex] = 0.8

With this scale factor the height of the smaller tank = 300 x 0.8 = 240cm

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The solution to the division of the given polynomial expression is:

k = (x+3)(x-4)

The division of the given polynomial can be determined by using the rational root theorem which is a method that is popularly used in determining the solutions to a polynomial equation.

From the information given:

[tex]\mathbf{\dfrac{x^3 -3x^2 - 10x +24}{x-2}}[/tex]

Using the rational root theorem;

[tex]\mathbf{\dfrac{(x-2) \dfrac{x^3 -3x^2 - 10x +24}{x-2} }{x-2}}[/tex]

[tex]\mathbf{\dfrac{(x-2)(x^2 -x-12)}{x-2} }}[/tex]

Factor: x² - x - 12

[tex]\mathbf{\dfrac{(x-2)(x+3)(x-4)}{x-2} }}[/tex]

Cancel out the common factor (x-2)

[tex]\mathbf{=(x+3)(x-4) }}[/tex]

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Answer:

1. b=(d-c)/a

Step-by-step explanation:

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The conditional probability formula is P(X|Y) = P(X and Y)/P(Y)

The conditional formula is represented as:

P(A|B) = P(A and B)/P(B)

In this case:

A = X

B = Y

So, we have:

P(X|Y) = P(X and Y)/P(Y)

Hence, the conditional probability formula is P(X|Y) = P(X and Y)/P(Y)

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The set of points which includes all of the solutions for y in the given equation is the set of all real numbers.

The equation given in the task content whose solution set is go be determined is;

y = (5/2)x + 3/2.

It therefore follows that the solution set for.tge equation includes all real numbers as the equation is linear.

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ΔRST was dilated and then dilated, to create ΔZXY.

The correct answer is option D.

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,

The statement "RST and ZXY are similar" means that the two triangles have the same shape but possibly different sizes.

Similarity means that corresponding angles are congruent and corresponding sides are proportional.

Now,

If Triangle RST was dilated to create Triangle ZXY, it means that Triangle ZXY is an enlarged or reduced version of Triangle RST, with the same shape and proportions.

This is because dilation is a transformation that changes the size of a figure while preserving its shape.

Therefore,

Triangle RST was dilated and then dilated, to create Triangle ZXY.

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Answer:

It would take 1.5 hours for all three to finish the work if they worked together.

Step-by-step explanation:

Elon and Jeff can complete the work in 3 hours.

Jeff and Bruce can complete the work in 6 hours.

Elon and Bruce can complete the work in 4 hours.

3 + 6 + 4 = 13

13 / 3 = 4.33

4.33 / 3 = 1.44

The equation of the line is y = -7/5x + 56/5

The formula for expressing equation of a line is given as y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinates A(8, 0) and (3, 7)

Determine the slope

Slope =7-0/3-8

Slope = -7/5

For the intercept

0 = -7/5(8) + b

b = 56/5

Hence the equation of the line is y = -7/5x + 56/5

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The measure of angle ABD (m∠ABD) is 104°

From the question, we are to determine the measure of angle ABD

In the diagram,

∠ABC = ∠ABD + ∠DBC

Thus,

m∠ABC = m∠ABD + m∠DBC

From the given information,

m∠ABC = 140°

m∠DBC = 36°

∴ 140° =  m∠ABD + 36°

m∠ABD = 140° - 36°

m∠ABD = 104°

Hence, the measure of angle ABD (m∠ABD) is 104°

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Answer:

When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

[tex]$v \propto \frac{1}{p}$[/tex]

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

[tex]$v=\frac{k}{p}$[/tex]

Substitute the given values of nitrogen that v=29.5 and

p=2000 and calculate the value of k from above equation.

[tex]$$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$$[/tex]

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

[tex]$$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$$[/tex]

Step-by-step explanation:

Let the number originally be "x".

Then, According to the question,other number is 3 times [3*] greater as other.

Sum of these two numbers is 24.

ATP, equation'll be :

Solving:

Therefore,one number[x] is 6.

Other number :

Step-by-step explanation:

25 (divided by 5) 5

__ = __

40 (divided by 5) 8

[tex]|\Omega|=25+15=40\\|A|=25\\\\P(A)=\dfrac{25}{40}=\dfrac{5}{8}=62.5\%[/tex]

Using the Fundamental Counting Theorem, it is found that there are 648 ways to paint the spinner.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, we have that the first sector can be painted in any of the 4 colors, the others until the 5th can be painted in 3 colors(not the adjacent), and the sixth in only 2, as it is adjacent to both the 5th and the 1st sectors, hence:

[tex]n_1 = 4, n_2 = n_3 = n_4 = n_5 = 3, n_6 = 2[/tex]

Hence the number of ways is given by:

N = 4 x 3 x 3 x 3 x 3 x 2 = 648.

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An interval to estimate the true average tip is  (14.62,13.78).

According to statement is

we know that the

confidence interval = sample mean ± standard deviation /(n)^1/2

substitute the values in it then

confidence interval = 14.2  ± 2.5/(35)^1/2

confidence interval = 14.2 ± 2.5/5.91

confidence interval = 14.2 ± 0.42

confidence interval = 14.2 + 0.42 , confidence interval = 14.2 - 0.42

confidence interval = (14.62,13.78)

So, an interval to estimate the true average tip is  (14.62,13.78).

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Answer:

Step-by-step explanation:

Solution

Start with the product

The product is 7*x where x is a number but not specified.

Now add 6

Answer: 7x + 6      

This cannot be simplified any more than what it is now.

Represent the following sentences as an algebraic expression:

Assuming:

6 is added to the product of 7 and a number.

Product : 7 × x = 7x

Now we will add 6.

Add : 7x + 6.

Final Answer:

7x + 6.

[tex] \star\tiny\pmb{spbankingandsscseries} \small\star [/tex]

Answer: 130

Step-by-step explanation:

Let the measure of arc DB be x.

Then,

[tex]80=\frac{x+30}{2}\\\\160=x+30\\\\x=130[/tex]

A perpendicular line to PQ must have a slope equal to 1/3, then the correct options are B and C.

Two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other line's slope.

We know that PQ passes through (-8, 7) and (-4, 5), then the slope of PQ is:

[tex]s = \frac{-5 - 7}{-4 - (-8)} = -3[/tex]

A perpendicular line to PQ must have a slope equal to:

[tex]s' = -(\frac{1}{-3} ) = (\frac{1}{3})[/tex]

So we have two correct options (two lines with that slope) which are options B and C.

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Step-by-step explanation:

L = 10W

L + W = 132/2 = 66

---

10W + W = 66

W = 6

L = 60

[tex] \sf{\red{Answer}} [/tex]

[tex] \sf{\purple{Step \: \: By \: \: Step \: \: Explanation}} [/tex]

Perimeter = 2(L + W)

132 = 2(L + L/10)

132 = 2(10L/10 + L/10)

132 = 2(11L/10)

132 : 2 = 11L : 10

66 = 11L : 10

66 : 11 = L : 10

6 = L : 10

Answer:

OB. (2, 4), (3, 9), (4, 16), (5, 25)

Step-by-step explanation:

none of the points in this ordered pair have the same x-pos. In all the other options, at least 2 of the points have the same x-pos, preventing them from being functions. Therefore, OB is the only right answer.

Using Sarai's measurements, Line 3 must be parallel to Line 5 according to (A) Converse of Alternate Exterior Angles Theorem.

Alternate Exterior Angles theorem states that, "If two lines are parallel and they are intersected by same straight line then the alternative exterior angles formed by the figure are equal to each other."

Converse of the above theorem states that, "If two lines intersected by one transverse and formed alternate exterior angles, and if they are equal to each other then that two lines are parallel to each other."

Here in Sarai's measurement we can see that Line 3 and Line 5 are intersected by one straight line and the formed alternate exterior angles both are 65, which shows they are equal to each other.

Hence by Converse of Alternate Exterior Theorem we can say that Line 3 and Line 5 are parallel to each other.

So, Line 3 must be parallel to Line 5 according to Converse of Alternate Exterior Angles Theorem.

Hence Option (A) is correct.

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Similarity transformations involve two types of transformations required to map a  given object onto a similar object without a change in its dimensions. Thus the answers required are:

a. Similarity transformations - translation and dilation.

b. The first transformation is translation.

c. The second transformation is dilation.

Transformation is a process required to change the size or orientation of a given shape to form an image. The types are reflection, translation, rotation, and dilation.

i. Reflection is a type of rigid transformation in which a given shape is flipped about a given point or line.

ii. Translation involves moving a given shape in a certain direction without a change in its initial orientation.

iii. Rotation is a type of rigid transformation where a shape is turned about a given point or line at a required angle.

iv. Dilation is a process that requires either increasing or decreasing the dimension of a given shape.

Also, similarity transformations involve two types of transformations required to map a  given object onto a similar object without a change in its dimensions.

The appropriate answers to the given question are:

a. similarity transformations - translation and dilation

b. The first transformation is translation.

c. The second transformation is dilation.

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Answer:

(0,-2)

Step-by-step explanation:

the answer is (0,-2) because -2 is where the line crosses over the y-axis. If we looked at a graph you would see that the line goes over 0 on the X-axis, which causes the line to touch the y-axis and intercept it at the -2 mark.

An easy way to find the answer for these sorts of questions is to draw out a graph and mark the coordinates on it and draw the line conecting them. Once you've done that you can easily see where the line intercepts on both the y and x axis.

Answer:

(0,-2)

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The range of sales Dr. Spencer Lewis must exceed to profit the most from the second deal is 15,000 sales.

To find the range that will benefit Dr. Spencer Lewis the most with the second deal, we must perform the following operation:

We must replace the X with several numbers and buy the result, when the result of operation B exceeds the result of operation A, it means that it will be more profitable.

According to the above, if we replace the X with 15,000, the values will be the same, however, each number that we increase will mean a greater profit in agreement B.

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Answer:

x=5[tex]\sqrt{2\\[/tex]

Step-by-step explanation:

Answer:

5 sqrt 2

Step-by-step explanation:

Log 2x + log x = 2

log ( 2x * x ) = 2

log (2x^2) = 2

2x^2 = 100

x^2 = 50

x = sqrt (50) =  5 sqrt 2

Answer:

17.28 cm

Step-by-step explanation:

It is 1/2 of the entire circumference of the circle

=      1/2    *   pi * d

= 1/2 * pi * 11 cm = 17.28 cm

The length of one leg of the right triangle is h = 12√2 inches

The length of a right triangle can be found as follows;

sin 45 = opposite / hypotenuse

Therefore,

hypotenuse = 24 inches

Hence,

sin 45 = h / 24

h = 24 sin 45

h = 24 × 1 / √2

Therefore,

h = 24 / √2 × √2 / √2

h = 24√2 / 2

h = 12√2 inches

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Answer: B. 12√2 inches

Step-by-step explanation: TRUST ME!!! Answer correct on Edge!!! :)

Answer:

A, B and D

Step-by-step explanation:

Answer:

Answer B , D , E

Step-by-step explanation: