fiind the value of x between 0 and 360
for question 5sin 2x=7cos2x​

Answer:

290.87 miles

Step-by-step explanation:

336 miles - 67 hours

x miles - 58 hours

Cross multiply

67x = 336 x 58

67x = 19488.

Divide both sides by 67

x = 19488/67

x = 290.87 miles

Answer:

It is just 65.

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

The probability of rolling a total of 9 is 1/9.

The probability of rolling a total of 10 is 1/12.

The probability of rolling a total of 11 is 1/18.

We have,

To calculate the probabilities of rolling specific totals with a pair of dice, we need to consider all possible combinations of numbers on each die.

Probability of rolling a total of 9:

There are four combinations that can result in a total of 9: (3, 6), (4, 5), (5, 4), and (6, 3).

Since each die has six sides, there are 6 * 6 = 36 equally likely outcomes when rolling two dice.

The probability of rolling a total of 9 is 4/36, which can be simplified to 1/9.

Probability of rolling a total of 10:

There are three combinations that can result in a total of 10: (4, 6), (5, 5), and (6, 4).

The probability of rolling a total of 10 is 3/36, which can be simplified to 1/12.

Probability of rolling a total of 11:

There are two combinations that can result in a total of 11: (5, 6) and (6, 5).

The probability of rolling a total of 11 is 2/36, which can be simplified to 1/18.

Thus,

The probability of rolling a total of 9 is 1/9.

The probability of rolling a total of 10 is 1/12.

The probability of rolling a total of 11 is 1/18.

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1)

a) There are 5 points in the figure:

Point W

Point X

Point Y

Point Z

Point V

b)

There are 2 lines in the figures:

Line a

Line b

c)

There are 1 plane in the figure and it is the plane D

d)

The line that contains the point V is the line a

e)

The intersection of lines a and b is the point W

f)

An alternative name for line b is line ZY

g) Three points that are not colinear are:

Point V, Point Z, point X

h) An alternative name can be any capital letter since there are no specific instructions about it. So it can be for example plane E

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

2)

a) There are 9 points in this figure:

Point P

Point S

Point T

Point M

Point N

Point O

Point U

Point R

Point Q

b)

We can see 3 lines in this figure:

line d

line c

line e

c)

There are 2 planes in this figure:

Plane K

Plane L

d) 3 collinear points are:

Point M, Point N, Point O

e) 4 non-collinear points are:

Point P, Point S, Point T, Point U

f) Another name for line e could be line MO

g) The intersection of PQ and MO is the point N

h) The intersection of the plane K and the line c is the point S

i) Another name for the plane L could be J

j) Another name for line PQ is line d

The Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.

Two or more expressions with an Equal sign is called as Equation.

Predetermined overhead rate for Finishing Department = $550,000 / 500,000 direct labor hours = $1.10 per direct labor hour

Predetermined overhead rate for Production Department = $400,000 / 80,000 direct labor hours = $5.00 per direct labor hour

For one unit of table lamp, 2 hours of finishing and 1 hour of production are required, so the total direct labor hours for one unit of table lamp is 2 + 1 = 3 hours.

Finishing Department overhead cost per unit of table lamp = 2 hours * $1.10 per direct labor hour = $2.20

Production Department overhead cost per unit of table lamp = 1 hour * $5.00 per direct labor hour = $5.00

Total factory overhead cost per unit of table lamp

$2.20 + $5.00 = $7.20

Therefore, the Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.

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The Kaumajet Factory produces two products-table lamps and desk lamps. It has two separate departments - Finishing and Production. The overhead budget for the Finishing Department is $550,000, using 500,000 direct labor hours. The overhead budget for the Production Department is $400,000 using 80,000 direct labor hours.

If the budget estimates that a table lamp will require 2 hours of finishing and 1 hour of production, how much factory overhead will the Kaumajet Factory allocate to each unit of table lamp using the multiple production department factory overhead rate methods with an allocation base of direct labor hours?

a. $4.91

b. $6.33

c. $7.20

d. $5.00

The value of x is 18.8m

Given:

θ = 48°

Y = 17m

The law of tangent which is also called as tangent formula or tangent rule is the ratio of the sine of the angle to the cos of the angle.

tan θ = Opposite / Adjacent.

Here,

Sum of triangle = 180°

90° + 48° + x° = 180°

x° = 42°

tan θ = opposite/ adjacent.

Substituting the values

tan 42° = 17/x  (∴tan 42° = 0.9004)

0.9004 = 17/x

So we get,

x = 17/0.9004

x = 18,8m

Therefore, the value of x is 18.8m.

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The function is periodic in both x and y, and the function is the same when x is interchanged with y, so its graph is symmetric about the plane y = 0. In addition, the function is periodic along the x- and y-axes. These conditions are satisfied only by C and IV.

A: The function plane does not have a zero or linear behavior, so this option is not correct.

B: The function does not have a linear behavior, so this option is not correct.

C: The function is periodic in both x and y, so this option is correct.

D: The function does not have a parabolic behavior, so this option is not correct.

E: The function does not have a periodic behavior, so this option is not correct.

F: The function does not have a linear behavior, so this option is not correct.

I: The function is the same when x is interchanged with y, so this option is correct.

II: The function is not symmetric about the plane y = 1, so this option is not correct.

III: The function is not symmetric about the plane y = 2, so this option is not correct.

IV: The function is symmetric about the plane y = 0, so this option is correct.

V: The function is periodic along the x- and y-axes, so this option is correct.

VI: The function is not linear along the x- and y-axes, so this option is not correct.

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Answer: 27ft

Step-by-step explanation:

The garden can split into 20 plots.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

A community garden has an area of 10 square yards.

The community wants to divide it into plots that each have an area of 1/2 square yard.

The number of community garden,

= 10/(1/2)

= 20

Therefore, the number of required plots is 20.

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Answer:

1/2

Step-by-step explanation:

It's a standard angle, you can find it on most charts

We are given the following information

After a while they stopped for gas.

Then they traveled 58 3/4 miles and stopped for lunch.

After lunch, they traveled tripled their distance before stopping for the night.

Their total distance was 381 miles.

Let x be the distance they travel before their first stop for gas.

So, the equation must be 3 times the distance x plus 58 3/4 miles and it must be equal to the total distance they traveled.

Now, let us solve the above equation for x.

Divide both sides of the equation by 3.

Now, subtract 58 3/4 from both sides of the equation.

Therefore, the distance they travel before their first stop for gas is 68 1/4 miles.

Answer:

Step-by-step explanation:

[Transformed] f(x) = ¼(.5)ˣ

[Original] f(x) = (.5)ˣ

____________________

I determined this transformation by comparing the notable points on the graph.

When x = -2 for the original function f(x), y = 4.

For this transformed graph y = 1 instead of 4.

Therefore y is scaled by ¼, and so that is the vertical compression.

Due to the fact that two angles, ABC and BCD, are supplementary, ACB is 75 degrees.

In Trigonometry, an angle is a shape that is composed of two rays, referred to as the angle's sides, that converge at even a center point regarded as the angle's vertex. Two rays can make an angle in the region where they are arranged. Moreover, when plane collide, an angle is created. Wing angles are what they are called. An angle is a possible shape for two rays or lines with only a common endpoint in planar geometry. The English term "angle" is derived from the Latin word "angulus," which meaning "horn." The vertex is the common endpoint of the two rays, also defined as the sides of both the angle.

given

Angle ABC=4

BCD=6x+50

∠FAE =∠CAB (vertically opposite angles)

∠FAE =∠CAB=45°

In ΔABC

∠ABC+∠CAB = ∠ACD(exterior angle property)

∠ABC = 105°-45°

∠ABC = 60°

In ΔABC

∠ABC+∠CAB+∠ACB=180°(Angle sum property of triangle)

60°+45°+∠ACB=180°

105°+∠ACB=180°

∠ACB=180°-105°

∠ACB=75°

Due to the fact that two angles, ABC and BCD, are supplementary, ACB is 75 degrees.

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Answer:

two solutions work: x = 5 + \(\sqrt{19}\) and x = 5 - \(\sqrt{19}\)

Step-by-step explanation:

x + 6 ( 1/x ) = 10

x^2 + 6 = 10x

x^2 - 10x + 6 = 0

x = 5 + \(\sqrt{19}\), 5 - \(\sqrt{19}\)

Answer:

$18.85

Step-by-step explanation:

1. 127*18 = 2286 pages.

2. 2286/500 = 4.6 (approx.)

3. You need to buy 5 reams of paper 500 pages each.

     It will cost 5*$3.77 = $18.85

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Amount of $150,000 represents 42.86% of $350,000.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Danny’s home cost $350,000. The federal government program for flood damage insurance covers only $150,000.

Assume that it represents [x%] percent of the total value. Then, we can write -

x = (150000/350000) x 100

x = 42.86%

Therefore, $150,000 represents 42.86% of $350,000.

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Answer:

A AND B

Step-by-step explanation:

TRUST MEEEEE FRENZ:)

If 4 > 3 then - 4 < -3 is true because when additive opposites of numbers are used inequality get reversed.

Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Given inequality,

4 > 3

If we multiply with -1 on both sides inequality get reversed

-1 × 4 > -1 × 3

-4 < -3.

Hence, the inequality changes from greater than to less than  when opposites of 4 and 3 are used.

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Answer:

Irrational

Rational

Rational

Rational

Irrational

Step-by-step explanation:

We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.

A thousand is a number that denotes the sum of 1,000 units or ten hundreds.

The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."

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Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

(a) 45 tens is equal to 450. :- True

(b) 12.3 is equal to 123 ones. :- True

(c) 80 tens is greater than 6 hundreds. :- True

(d) 43,200 is less than 50 thousands. :- True

(e) 60 hundreds = 6,000 :- True

Consider the first statement,

45 tens are equal to 450

So, 45 tens mean 45 times 10 is written as:

45 × 10 = 450

Hence, it's true.

Consider the second statement,

12.3 is equal to 123 ones.

Now, 123 ones is equal to 123 times 1.

123 × 1 = 123

Hence, the statement is true.

Consider the third statement,

80 tens is greater than 6 hundreds.

Now 80 tens = 80 × 10 = 800

Now, 6 hundreds = 6 × 100 = 600

Now, 800 > 600

Hence, the statement is true.

Consider the fourth statement.

43,200 is less than 50 thousands.

Now, 50 thousands = 50 × 1000 = 50,000

We know,

50,000 > 43,200

Therefore, the statement is true.

Consider the fifth statement,

60 hundreds = 6000

Now, 60 hundreds = 60 × 100 = 6000

Therefore, the statement is true.

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Answer:

y = x+6

Step-by-step explanation:

You can see that (0,6) and (1,7) are points on the line, and the y-intercept of the line is 6.

Use the coordinates of these points to find the slope of the line.

slope = (7-6)/(1-0) = 1

y-intercept = 6

Slope-intercept equation for line of slope 1  that has y-intercept of 6:

y = x+6

Step-by-step explanation:

3 answer.....

......dkdkdk

Answer:

the correct answer is B. 135 cu. units

Answer:

84

Step-by-step explanation:

TPS + SPR = RPT and TPS = RPT - SPR

The measure of RPT and SPR are given so we just need to place them and do the calculation

TPS = 137 - 53

TPS = 84

Answer:

44 cm^2

Step-by-step explanation:

You can separate this figure into three rectangles. The area of the first rectangle is 20. The area of the second rectangle is 6. And the area of the third is 18. If you add those all together you get 44 cm^2