Convert the following angle from degrees to radians. Express your answer in simplest form. 120

Answer:

1. rapid development

2. 2007-2010

Step-by-step explanation:

Answer:

in the picture

Step-by-step explanation:

Answer:

From Thursday to Friday, the change in the depth was 19/16 inches

or as a mixed number, 1 3/16 inches

Step-by-step explanation:

From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches

now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8

so, 2 3/8 = 19/8 inches = depth change from monday to thursday

From Thursday to Friday, the depth changed by half as much,

so,

depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)

depth change from thursday to friday = 1/2(19/8) = 19/16 inches

The surface area of the triangular prism is equal to 67.5 square inches.

In this problem we have the representation of a triangular prism, whose surface area is the sum of the areas of a square, two rectangles and two triangles. The area formulas for rectangles, squares and triangles are, respectively:

Rectangle

A = w · l

Square

w = l

Triangle

A = 0.5 · w · l

Where:

Now we proceed to determine the surface area of the triangular prism:

A = (4 + 1 / 2 in)² + 2 · (4 + 1 / 2 in) · (3 + 3 / 4 in) + 2 · 0.5 · (4 + 1 / 2 in) · (3 in)

A = 67.5 in²

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Answer:

\(\frac{24}{7}\) or \(3\frac{3}{7}\)

Step-by-step explanation:

\(\frac{4}{5}\div \frac{7}{30}\)

Step 1: Apply the fraction rule: \(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)

\(=\frac{4}{5}\times \frac{30}{7}\)

Step 2: Cross-cancel common factor: 5

\(=\frac{4}{1}\times \frac{6}{7}\)

Step 3: Multiply fractions: \(\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\)

\(=\frac{4\times \:6}{1\times \:7}\)

Step 4: Multiply the numbers: \(4\times \:6=24\)

\(=\frac{24}{1\times \:7}\)

Step 5: Multiply the numbers: \(1\times \:7=7\)

\(=\frac{24}{7}\)

Therefore, the answer is \(\frac{24}{7}\) or in the simplified form; \(3\frac{3}{7}\)

5 and 8

Step-by-step explanation:

area= base x altura= 5x8=40

perimetro= base+base+altura+altura = 5+5+8+8=26

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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The difference in overall loss or gain between sell at the current day's high price or low price is found tp be the difference in overall gain as $280.10

The third option is correct.

High price value: 115 shares * $105.19 per share = $12,084.85

Low price value: 115 shares * $103.25 per share = $11,858.75

High price value: 30 shares * $145.18 per share = $4,355.40

Low price value: 30 shares * $143.28 per share = $4,298.40

The overall value at high price:

$12,084.85 + $4,355.40

= $16,440.25

The overall value at low price:

$11,858.75 + $4,298.40

= $16,157.15

In conclusion, the difference in overall gain or loss:

$16,440.25 - $16,157.15 = $280.10

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a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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\(V=lwh=(3)\left(\frac{4}{3} \right) \left(\frac{3}{5} \right)\\\\V=3\left(\frac{12}{15} \right)\\\\V=\frac{36}{15}=\boxed{\frac{12}{5} \text{ cm}^{2}}\)

Answer:

i think the train would travel 3.125 in 1/2 an hour

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

96 / 24 = 4, 28/ 7 = 4, assuming that it dilated by 4, so use 4 to multiply 25, 4 x 25 = 100 so 6x+28 = 100 then plug it in 6(12) + 28 = 100., 100 = 100

To check use a^2 + b^2 = c^2

28^2 + 96^2 = (6(12)+28)^2

784 + 9216 = (72+28)^2

784 + 9216 = 100^2

784 + 9216 = 10000

10000 = 10000

Answer:

A=4 -3 5.3748362

Step-by-step explanation:

Answer:

7.36

Step-by-step explanation:

7.3564 would round to 7.36

Answer:

7.36

Step-by-step explanation:

To round off a decimal to the hundredths or a number to the right you do this, if the number to the right of the hundredths is 4 or less you remove all the other digits including the hundredths, if the number is 5 or more you add one to the digit in the hundredths.

Yes, this study has a source of bias known as selection bias, which makes it unrepresentative. Overall, using sick patients to test competitors' drugs for side effects and using competitors' drugs as the control group can introduce significant biases in the study, making it unrepresentative of the larger population.

Selection bias occurs when the selection of the participants is not random and therefore does not represent the population accurately. In this case, the medical company is using sick patients to test their competitors’ drugs for side effects. By selecting only sick patients, the study may not represent the larger population who might not be sick or might have different health conditions. Therefore, the results of the study may not be generalizable to the larger population and may be biased towards the experiences of sick patients.

Additionally, using competitors' drugs as the control group may introduce another type of bias called the "experimenter bias." This occurs when the researchers unintentionally influence the outcome of the study by giving preferential treatment to the group they want to succeed. It is possible that the medical company might conduct the study in a way that favors their drug over the competitor's drug, resulting in an unrepresentative outcome.

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Answer:

Step-by-step explanation:

102×1000÷100=1020

107×3000÷100=3210

A . 1020+3210=4230

4000=100%

230

230×100÷4000=5.75%

A=4230

B=5.75%

Answer:

domain is like the membrane

Step-by-step explanation:

domain

The discounted price of the ticket is $198.

The total cost of the ticket with the discount and service fee is $214.33.

A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."

Given:

The cost of a ticket on an airline is $220.

And Jameson receives a discount of 10%.

To find the discounted price:

The discounted price = 220 - 220 x 10 / 100

The discounted price = $198.

And the service charge is 8.25%.

So, the amount of service charge,

= 198 x 8.25/100

= 16.33

The total cost of a ticket = $198 + $16.33 = $214.33

Therefore, the cost is $214.33.

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Answer:

She can make 12 cups of sugar for 18 pies

Step-by-step explanation:because 6x3=18 so you multiply  4x3 to get 12, she need 12 cups of sugar for 18 pies or 18 pies with 6 cups of sugar

Tell me if it is wrong in the comment

Thank you.

For the triangle;

b = 537 m

A = 24.6°

C = 8.9°

One of the angles is initially calculated using the Law of Cosines. then choose a new angle by applying The Law of Cosines once more.

Using the sine rule;

b^2 = a^2 + c^2 - 2ac Cos B

b^2 = 405^2 + 352^2 - 2(405 * 352)cos 146.5

b = √405^2 + 352^2 - 2(405 * 352)cos 146.5

b = √287929 - (-238)

b = √287929 + 238

b = 537 m

Now;

a/sin A = b/sinB

405/sin A = 537/sin146.5

sin A = 405 * sin146.5/537

A = sin-1(405 * sin146.5/537)

A = 24.6°

Now;

C = 180 - (146.5 + 24.6)

C = 8.9°

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Answer:

3/8

Step-by-step explanation:

With unlike denominators find the Least Common Denominator (LCD)

LCD = 8

Multiplying numerators and denominators to get the LCD in all fraction denominators

=3/4 times 2/2−3/8

Then rewriting the equation with the equivalent fractions

=6/8−3/8

With like denominators we can operate on just the numerators

=6−3/8

=3/8

Answer:

32 ft 12 in = 10.0584 m

Step-by-step explanation:

i didnt understand the question so i dont know if right

Answer:

\(the \: answer \: is = 16.5 \: because \\ if \: we \: solve \: 2(x - 4) = 25 \\ we \: must \: multiply \: the \: contents \: of \: the \: bracket \: with \: 2 \: which \: will \: give \: us \\ 2x - 8 = 25 \: when \: we \: collect \: like \: terms \: we \: get \: 2x = 25 + 8 \\ when \: this \: is \: solved \: we \: get \: 2x = 33 \\ when \: we \: divide \: both \: sides \: by \: t \\ 2 \: we \: get \: 16.5. \: \\ that \: is \: the \: answer.\)

Answer:

\(b)\ 6\frac{1}{4}\)

Step-by-step explanation:

Which is the product of 15 and 5/12

\(15*\frac{5}{12} \\\\\frac{15}{1} *\frac{5}{12}\\\\\frac{5}{1}*\frac{5}{4}\\\\ \frac{25}{4} \\\\6\frac{1}{4}\)

Hope this helps!

Hi!

Your answer is B.

Given:

\(15*\dfrac{5}{12}\)

Change \(15\) into a fraction by putting it over \(1\)

\(\dfrac{15}{1} * \dfrac{5}{12}\)

Multiply the numerators and the denominators by each other:

\(\dfrac{15*5}{12*1} =\dfrac{75}{12}\)

Simplify:

\(\dfrac{75/3}{12/3} = \dfrac{25}{4}\)

Mixed number form = \(6\dfrac{1}{4}\)

Answer: 0.655

Step-by-step explanation:

Let X be a random variable that represents percent of fat calories that a person in America consumes each day.

As per given , X is normally distributed with a mean \(\mu=36\) and a standard deviation \(\sigma=10\).

Sample size : n= 16

The probability that the average percent of fat calories consumed is more than 35:

\(P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}]\)

Hence, Required probability =0.655

Here below is the graph. You can graph this by yourself by plotting point by point to get the same result.

9514 1404 393

Answer:

Step-by-step explanation:

The given parallel lines mean that the two triangles are similar:

  ∆FDE ~ ∆FLK

That means corresponding sides are proportional.

  FE/FK = ED/KL

  FE = FK(ED/KL) = 4(15/6) = 10

and

  FL/FD = KL/ED

  FL = FD·KL/ED = 12(6/15) = 12(2/5) = 4.8

_____

Additional comment

Each of the diagonal lines, LD and KE, can be considered to be transversals between the parallel lines DE and KL. This means the interior angles at either end of those diagonals will be congruent. Hence the triangles are similar by the AA postulate.

Answer:

113.04m²

Step-by-step explanation:

Area of circle: \(\pi\) × r²

Radius = \(\frac{diameter}{2}\)

We can just apply the formula to the question:

Area of circle = 3.14 × (\(\frac{12}{2}\))²

                      = 3.14 × 36

                      = 113.04m²