30 divided by cos 40

Answer:

If Sandy spends the whole standard workday sawing, they can saw 3 cords of wood. If they spend the whole day splitting, they can split 5 cords of wood. However, Sandy cannot spend the whole day both sawing and splitting. Therefore, the largest number of cords of wood that Sandy can saw and split in a standard workday is less than or equal to 3 + 5 = 8.

To find the largest number of cords of wood that Sandy can saw and split, we need to find a way to divide the work between sawing and splitting. Let's assume that Sandy spends x fraction of the day sawing and (1-x) fraction of the day splitting. Then, the amount of wood that Sandy can saw in that time is 3x cords, and the amount of wood that Sandy can split in that time is 5(1-x) cords. The total amount of wood that Sandy can saw and split is the sum of these two amounts:

3x + 5(1-x) = 3x + 5 - 5x = 5 - 2x

To maximize this quantity, we need to choose the value of x that makes it as large as possible. Since 0 <= x <= 1, the maximum value of 5 - 2x occurs at x = 0 (Sandy spends the whole day splitting) or x = 1 (Sandy spends the whole day sawing). Therefore, the largest number of cords of wood that Sandy can saw and split in a standard workday is 5 cords, which Sandy can achieve by spending 2/5 of the day sawing and 3/5 of the day splitting.

If the mass of the helicopter is m = 2.7 x 10⁴ kg and the position of the helicopter is given by the vector \(r(t) = 0.02t^3 \hat{i} + 2.2t \hat{j} - 0.06t^2 \hat{k}\), then the net force on the helicopter at t=3.4s is \(F_{net}= 1.1016 \hat{i} - 0.324 \hat{k}\) kN

To find the net force follow these steps:

Thus, the net force on the helicopter at t = 3.4 s is \(F_{net}= 1.1016 \hat{i} - 0.324 \hat{k}\) kN.

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After you collect your data, you have several options in regards to the null hypothesis. First, you could fail to reject the null hypothesis.

The data did not provide enough evidence to support the alternative hypothesis, and you accept the null hypothesis as the most likely explanation. Second, you could reject the null hypothesis. This means that your data provided enough evidence to support the alternative hypothesis, and you reject the null hypothesis as the most likely explanation. To neither accept nor reject the null hypothesis. The less common option and occurs when your data does not provide enough evidence to reject the null hypothesis, but also does not provide enough evidence to accept it as the most likely explanation.

The null hypothesis after you collect your data include failing to reject it, rejecting it, or neither accepting nor rejecting it.

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(a) The approximate percentage change in volume is approximately -7.84%.

(b) The approximate percentage change in curved surface area is approximately -4.08%.

To determine the approximate percentage change in the volume and curved surface area of a cylinder when its radius is reduced by 4% and its height is increased by 2%, use the formulas for volume and curved surface area of a cylinder.

Denote the original radius of the cylinder as r and the original height as h.

(a) Volume:

The volume of a cylinder is given by V = πr^2h.

When the radius is reduced by 4%, the new radius becomes (1 - 0.04)r = 0.96r.

When the height is increased by 2%, the new height becomes (1 + 0.02)h = 1.02h.

The new volume, V', is given by V' = π(0.96r)²(1.02h) = 0.9216πr²h.

The percentage change in volume can be calculated as:

ΔV = (V' - V)/V × 100% = (0.9216πr²h - πr²h)/(πr²h) × 100% = -7.84%

Therefore, the approximate percentage change in volume is approximately -7.84%.

(b) Curved Surface Area:

The curved surface area of a cylinder is given by A = 2πrh.

When the radius is reduced by 4%, the new radius becomes (1 - 0.04)r = 0.96r.

When the height is increased by 2%, the new height becomes (1 + 0.02)h = 1.02h.

The new curved surface area, A', is given by A' = 2π(0.96r)(1.02h) = 1.9584πrh.

The percentage change in curved surface area can be calculated as:

ΔA = (A' - A)/A × 100% = (1.9584πrh - 2πrh)/(2πrh) × 100% = -4.08%

Therefore, the approximate percentage change in curved surface area is approximately -4.08%.

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Answer:

What is pi? The number π (/paɪ/) is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. What are the first 3 numbers of pi? 3.14. Who invented Pi? The symbol π was devised by British mathematician William Jones in 1706 to represent the ratio and was later popularized by Swiss mathematician Leonhard Euler.

Step-by-step explanation:

In math, pi is a very special number.

Pi is rounded to 3.14.

It's irrational which means it continues on forever so

it's impossible to find all the digits of pi.

For most problems, rounding Pi to 3.14 is acceptable.

For any circle, if we divide the circumference by the diameter, we get pi.

It involves the perimeter or circumference to a circle's diameter.

In fact, this is how the number pi was originally developed and named by the Ancient Greeks, who like Egyptians and Babylonians before them found that dividing the circumference of a circle by it's diameter would always yield the same number, which was approximately equal to 3.14.

It frustrated the Greeks to learn that Pi was a decimal number that had no end because the Greeks believed the circle to be a perfect shape and thus they believed that the ratio of the circumference of a circle to its diameter should yield a more elegant number than 3.14159...

Answer:

1. 89 2. 91

Step-by-step explanation:

180-29-62=118-29=89

180--89=91

Answer:

91 and 89 degrees respectively

Step-by-step explanation:

Sooooo, the exterior angle of any angle in a triangle is equal to the sum of the  2 other adjacent interior angles in a triangle. Therefore, we just need to do 29+62, which is 91 degrees, so the Exterior angle is 91 degrees. Next, to find the last unknown angle of a triangle, we can take the sum of the 2 other interior angles and subtract it from 180. Doing this here, we get 180-91, which is 89 degrees.

Answer:

7/11

Step-by-step explanation:

Both the numerator and denominator are divisible by 21.

so:

147 divided by 21 = 7

231 divided by 21 = 11.

When they are re-assembles to a fraction = 7/11

Hope this helps.

Please mark brainiest

Answer:

see photo for detailed analysis

Step-by-step explanation:

The angle R corresponds to the angle E.

This comes from the fact that they are alternate interior angles.

Answer:

If I had to guess, it would be the first option. Any calculator program I put it into is giving me 4x+1/8

Step-by-step explanation:

Sorry I wasn't able to help much, good luck though!

Answer:

C

Step-by-step explanation:

distrubute the 3/2

3/2*x + 3/2*3/4

3/2x+9/8

-(x+1) distrubute the negative 1

-x-1

combine like terms

3/2x-x

9/8-1

= 1/2x+1/8

Answer:

Place compass point on the vertex of the angle (point B), Stretch the compass to any length that will stay ON the angle, Swing an arc so the pencil crosses both sides (rays) of the given angle, Place the compass point on one of these new intersection points on the sides of the angle.

Step-by-step explanation:

Answer:

second option

Step-by-step explanation:

(10x + 40) - (3x + 10)

10x + 40 - 3x - 10

7x + 30

Answer:

10x+12 is the answer in my calculation.

Answer:

Step-by-step explanation:

Given equation:

Factorize it in steps:

The roots are:

\(\\ \tt\hookrightarrow 3x^2+5x+2=0\)

\(\\ \tt\hookrightarrow 3x^2+3x+2x+2=0\)

\(\\ \tt\hookrightarrow 3x(x+1)+2(x+1)=0\)

\(\\ \tt\hookrightarrow (3x+2)(x+1)=0\)

\(\\ \tt\hookrightarrow x=\dfrac{-2}{3}\:or\:x=-1\)

This output shows the counts of each character in the string "hello world". The letter 'l' appears 3 times, the letter 'o' appears 2 times, and so on.

Here's an example Python function called count_characters that counts the number of times each character appears in a user-supplied string s:

def count_characters(s):

Given a string s, returns a dictionary containing the count of each character in the string.

char_count = {}

for char in s:

if char in char_count:

char_count[char] += 1

else

char_count[char] = 1

return char_count

This function creates an empty dictionary called char_count to store the counts of each character. It then loops through each character in the string s and checks if it's already in the char_count dictionary. If it is, it increments the count for that character. If it's not, it adds the character to the dictionary with a count of 1. Finally, the function returns the char_count dictionary.

You can call this function like this:

string = "hello world"

char_count = count_characters(string)

print(char_count)

Output:

python

{'h': 1, 'e': 1, 'l': 3, 'o': 2, ' ': 1, 'w': 1, 'r': 1, 'd': 1}

This output shows the counts of each character in the string "hello world". The letter 'l' appears 3 times, the letter 'o' appears 2 times, and so on.

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well, there are 125 degrees for sure.

now, let's look at the 0.67 part, we know that a degree has 60 minutes, so 0.67 of a degree is just (0.67)(60) = 40.2 minutes, let's use the 40 minutes part and get the seconds from the 0.2 part.

we also know that a minute has 60 seconds, so 0.2 of a minute is just (0.2)(60) = 12 seconds.

The measure of 125.67° in degree, minute, and second measure is 125° 40' 12''.

To convert from decimal degrees to degree, minute, and second measure, you can follow these steps:
1. The whole number part of the decimal degree is the degree measure. In this case, 125.67° has a degree measure of 125°.
2. Multiply the decimal part of the decimal degree by 60 to find the minute measure. In this case, 0.67 × 60 = 40.2, so the minute measure is 40'.
3. Multiply the decimal part of the minute measure by 60 to find the second measure. In this case, 0.2 × 60 = 12, so the second measure is 12''.

So, the final result is 125° 40' 12''.

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Answer:

I think like 16.9 fluid ounces

K

Step-by-step explanation:

Answer:

<3

Step-by-step explanation:

Explanation: Decision trees are a problem-solving tool that is used to help individuals or groups arrive at a conclusion by breaking down a problem into a series of questions.

A decision tree has a tree-like structure that has a set of conditions and their possible outcomes mapped out in a logical order. The given scenario talks about the need to open a larger number of lithium and cobalt strip mines to produce batteries for electric cars. However, it also highlights the negative impact that it will have on the habitats of endangered plants and animals living there.

Are the environmental and social costs of producing batteries worth the benefits that they provide?Is it ethical to prioritize the production of batteries over the destruction of habitats of endangered plants and animals living there?Based on the answers to these questions, a conclusion can be arrived at.

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B) fish peaked in 1989, but with the total catch since then declining or plateauing in the case of most species, prompting conservation efforts designed to help prevent population crashes and possible extinctions.

(B) fish peaked in 1989, but with the total catch since then declining or plateauing in the case of most species, prompting

Plateauing refers to the phenomenon where an individual's progress or improvement in a particular area, such as learning a new skill or achieving a fitness goal, slows down or even stops altogether. This can be frustrating for the individual, who may feel like they have hit a "plateau" and are not making any further progress despite continued effort. Plateauing can occur for a variety of reasons, such as overtraining, lack of variation in training or practice, inadequate rest and recovery, or reaching a natural limit in performance.

Overcoming plateaus often requires making changes to training or practice routines, such as introducing new exercises or techniques, increasing intensity or frequency of training, or taking adequate rest and recovery time.

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Answer:

\(P = 22.75\)

Step-by-step explanation:

Given:

See attachment for rectangle LINT

Required

Calculate its perimeter

From the attachment:

Considering triangle LYT, we apply Pythagoras theorem.

\(LT^2 = LY^2 + TY^2\)

Where:

\(LY = 5.2\)

\(TY = 3.9\)

The formula becomes:

\(LT^2 = 5.2^2 + 3.9^2\)

\(LT^2 = 42.25\)

Take positive square root of both sides

\(LT = \sqrt{42.25\)

\(LT = 6.5\)

Next, we calculate the length of NT.

By comparing triangles LYT and NYT

We make use of the following equivalent ratios to solve for NT

\(NT:TY = LT:LY\)

\(NT : 3.9 = 6.5 : 5.2\)

Convert to fractions

\(\frac{NT}{3.9} = \frac{6.5}{5.2}\)

Make NT, the subject:

\(NT = \frac{6.5}{5.2}*3.9\)

\(NT = \frac{6.5*3.9}{5.2}\)

\(NT = \frac{25.35}{5.2}\)

\(NT = 4.875\)

The perimeter (P) is then calculated as:

\(P = NT + LT + LI + NI\)

Where

\(NT = LI\) and \(LT = NI\) -- opposite sides of rectangle.

So:

\(P = NT + NT + LT + LT\)

\(P = 2NT + 2LT\)

Substitute values for NT and LT

\(P = 2*4.875 + 2*6.5\)

\(P = 9.75 + 13.0\)

\(P = 22.75\)

Hence, the perimeter is 22.75 units

The probability that a pupil would excel in math's or English = 0.691

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages range from 0% to 100% can be used to describe probabilities.

120 students are enrolled in total. Let A represent the scenario in which a student receives a mathematics award, and B represent the scenario in which a student receives an English award. The odds of these events are as follows:

48 won awards for mathematics

78 won awards for English.

14 students  won awards for mathematics and English.

P(A) = 48/120

P(B) = 78/120

P(A ∩ B) = 14/120

Due to the fact that 14 students shared the honors from both events, the following equation should be written for overlapping sets:

P(A or B ) =   P(A) + P(B)  -  P(A ∩ B)

                 = 48/120 + 78/120 - 14/120

                  = 56/ 81

                  = 0.691

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Answer:

A) 7x + 6 = 6x minus 3

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

160

Step-by-step explanation:

P(advance math | 7th grader) = 14/35 (sample size 35)

Estimated advance math 7th grader in school = 400 * 14/35

= 160

Answer: 160 people can be expected to be in advanced math

Step-by-step explanation:

14 ÷ 35 = 0.4

⇒ what is 40% of 400?

⇒ 0.4 × 400

⇒ 160 people

Answer:

Explanation:

The price of the refridgerator = $748

If there is a 65% mark-up, then we the selling price will be:

Answer

480

Step-by-step explanation:

Congrats on your first question!

The investment is 480 because

(80 / 100) x 1000 = 80 x 6 = 480

The total is 1480.

Answer:

2,  PEMDAS means parentheses, exponents, multiplication, division, addition, and subtraction.

Step-by-step explanation: