Answer: [tex]x=n\pi , \frac{3\pi }{4} +n\pi[/tex]
Step-by-step explanation:
Since we have a product here, either term can be zero. We can individually set each term equal to zero:
[tex]tan(x)=0[/tex]
[tex]tan(x)+1=0[/tex]
Beginning with the first term. It is saying "tangent of what gives zero". Well, tangent of zero gives zero. The value pi also gives zero:
[tex]tan(0)=0[/tex]
[tex]tan(\pi )=0[/tex]
We can generalize this by saying 'x' is equal to pi multiplied by an integer 'n', where 'n' is 0, 1, 2, 3...
[tex]x=n\pi[/tex]
Moving on to the second term, lets subtract that 1 to the other side to get:
[tex]tan(x)=-1[/tex]
Tangent of what gives -1? That would be 3pi/4. Tangent is the ratio of sine and cosine. So, you can essentially think of tangent as the slope of the line on a unit circle. Refer to the figure below. Another location along the unit circle where we get -1 is at 7pi/4, which is just 3pi/4 shifted by 180 degrees. Therefore, we can generalize this solution by adding 'npi' to 3pi/4 to get:
[tex]x=3\pi /4+n\pi[/tex]
where 'n' is 0, 1, 2, 3...
An above-ground garden is in the shape of a rectangular prism measuring 6 feet by 13 feet by 4 feet. The soil costs $1.70 per cubic foot. How much will it cost to fill the above -ground garden fully?
The cost of filling the rectangular prism with sand is $530.4
Volume of PrismGiven Data
Length of prism = 6 feetWidth = 13 feetHeight = 4 feetCost per cubic foot = $1.70Volume of Prism = Length*Width*Height
Volume = 6*13*4
Volume = 312 cubic feet
If 1 cubic feet cost $1.70
312 cubic feet will cost x
x = 1.70*312
x = $530.4
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Cassandra is inscribing a square in the circle shown below, but is having difficulty remembering the process.
Which of the following summaries describes the basic process for inscribing a square in the above circle?
A.
Create the perpendicular bisector of AB. Then use the points of intersection of the perpendicular bisector with the circle, along with points B and C, to draw the square.
B.
Create the perpendicular bisector of BC. Then use the points of intersection of the perpendicular bisector with the circle, along with points B and C, to draw the square.
C.
Set the compass width to the length of BC, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
D.
Set the compass width to the length of AB, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
Answer:
B. Create the perpendicular bisector of BC. Then use the points of intersection of the perpendicular bisector with the circle, along with points B and C, to draw the square.
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
U
67
T
x
142°
y
Answer:
74.4 units
Step-by-step explanation:
Angle T = 48 degrees
now use law of sines
67/sin42 = x/sin48
sin48 * 67/sin 42 = 74.4
Solve the following inequality for x X - 9. 2 (9-×)
Find the sum of the first 150 positive even integers.
Answer:
22650
Step-by-step explanation:
show that the derivative of an odd function is even function and viceversal
Step-by-step explanation:
Well, it's hard to generalize this. But I can show you a few examples using the power rule and some derivatives of trig functions. Lets say we have a function:
[tex]f(x) = {x}^{n} [/tex]
Then you should know it's derivative is:
[tex] \frac{df}{dx} = n {x}^{n - 1} [/tex]
For polynomial functions, a subtraction of 1 from the exponent will turn any odd function into an even, and any even function to an odd. An example of this is x^3, which is odd. The derivative is 3x^2, which is even. Another example, this time of a trig function, is sine and cosine. Sine is odd, while cosine is even. The derivative of sine is cosine, and the derivative of cosine is negative sine.
Jordan's bathroom floor has been decorated with purple and white tiles.
The ratio of purple tiles to white tiles is (2x + 1): (4x + 13)
If of the tiles are purple, work out the value of x.
Using proportions, supposing that 30% of the tiles are purple, it is found that the value of x is of x = 16.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the ratio of purple tiles to white tiles is given by:
[tex]\frac{2x + 1}{4x + 13}[/tex]
We consider that 30% of the tiles are purple, hence 70% are white, which means that:
[tex]\frac{2x + 1}{4x + 13} = \frac{3}{7}[/tex]
Applying cross multiplication:
14x + 7 = 12x + 39
2x = 32
x = 16.
The value of x is of x = 16.
More can be learned about proportions at https://brainly.com/question/24372153
Please answer!!!!! What is the probability that the dart will NOT land in the shades region?
Round to the nearest ten 3465 695
Answer:
3
Step-by-step explanation:
bec its on the left ......
What is the slope of
the line?
Which choice is equivalent to the expression below?
√-81
A. √9i
B. i√9
C. 9i
D. -9
E. -√9
Answer:
Step-by-step explanation:
Remark
√-81 breaks down to two roots
√81 = 9√-1 = iSolution
√-81 = i9
Answer
C
It takes 27N of work to push a crate up a ramp to a dock. The ramp is 3 meters long. How much force is necessary?
PLEASE HELP
Answer:
Solution:
Given,
Work = 27 N
Displacement = 3 m
According to question,
Force = ?
As we know,
Work = Force × Displacement
or, 27 = Force × 3
or, Force = 27/3
i.e, Force = 9 N
Help help math math math
Answer:
i think this is right i hope it helped :)
Step-by-step explanation:
5m - 8 = 2m + 1
5m + 2m - 8 = 1
7m - 8 = 1
7m = 7
m = 1
Answer:
m = 3
Step-by-step explanation:
5m - 8 = 2m + 1
5m - 2m = 1 + 8 { like terms }
3m = 9 { crossing over }
m = 3
Meera and Ben saved some money. 3/5 of Meera’s money are twice the money of Ben’s. Whats the new rapport between them?
Answer:
David used 1/2 of apple juice for every 1/4 cup of cranberry juice to make a fruit drink
Mary knits scarves and sweaters to sell. Scarves take 2 hours to knit and sweaters
take 10 hours. Mary would like to spend no more than 40 hours per week knitting
and knit at least 5 items per week.
What are two possible solutions she could knit based on this word problem?
(Select the 2 correct options.)
A. 3 scarves and 4 sweaters
B. 6 scarves and 3 sweaters
C. 10 scarves and 1 sweater
D. 2 scarves and 2 sweaters
Answer:
c and d
reason:
they dont go over 40 hours
Help will give thanks to the first to answer
Answer: 16
Step-by-step explanation: substitute 5 for y. 5 squared is 5 times 5 which is 25 and 3 times 5 is fifteen. 25 minus 15 is 10 plus 6 is 16. :)
What is the sum of 13/20 and 20/40?
Answer:
46/40, or 1 3/20
Step-by-step explanation:
[tex] \frac{13}{20} + \frac{20}{40} [/tex]
to find:the sum of the two fractions.
solution:first find the LCM of the two denominators and rename the fractions with a common denominator atlast, add and simplify.
[tex] \frac{(13 \times 40) + (20 \times 20)}{20 \times 40} [/tex]
[tex] = \frac{520 + 400}{800} [/tex]
[tex] = \frac{920}{800} [/tex]
Reduce by dividing both the numerator and denominator by the Greatest Common Factor which is 40.
[tex] \frac{920 \div 40}{800 \div 40} = \frac{23}{20} [/tex]
[tex] = 1 \frac{3}{20} [/tex]
Macy has $3 in her piggy bank. If this is 10% of her monthly allowance, what is her monthly allowance
Enter the measure of ∠TOM, in degrees. (Enter just the number)
Answer: 150
Step-by-step explanation:
We know (5x-15)+(2x)=90 degree
so we can solve x = 15
plug in 5(15) - 15 = 60
60 + 90 = 150
Answer:
150
Step-by-step explanation:
m∠TOG = m∠TOP + m∠POM + m∠MOG
m∠TOG = 180°
m∠TOP = 90°
m∠POM = (5x - 15)°
m∠MOG = (2x)°
90 + ( 5x - 15 ) + 2x = 180 ⇒ 5x - 15 + 2x = 90 ⇒ x = 15
m∠TOM = 90° + m∠POM
m∠TOM = 90° + (5×15 - 15)° = 150 °
Use the fact that f(x)=sqrt x is increasing on its domain to solve the inequality: sqrt (3x+1) > sqrt (x-5)
Since √(3x+1) and √(x-5) is always positive, you can square out both sides.
[tex] \sqrt{3x + 1} > \sqrt{x - 5} \\ {( \sqrt{3x + 1}) }^{2} > {( \sqrt{x - 5} )}^{2} \\ 3x + 1 > x - 5 \\ 2x > - 6 \\ x > - 3[/tex]
Since substituting x = -2, -1 , ... , 4 into √(3x+1) and √(x-5) will result into complex solutions,
Therefore,
[tex]x > 4[/tex]
Answer:
-3<x≤5
Step-by-step explanation:
√(3x+1)>√(x-5)
Square each one of the square roots. Then create 3 different inequality expressions and solve them/
1. 3x+1>x-5= x>-3
2. 3x+1≥0= x≥-1/3
3. x-5≥0= x≥5
From here I'm going to take the values that cover the most of the area in this expression which should be -3<x≤5.
a)find the value of angle x
b) work out the value of angle y
The value of X is 69 while value of y is also 69
What is the term that describes how far the function rises above or below it's midline?
Period
Frequency
Amplitude
sine function
The term which defines how far a function rises or fall relative to its midline is; The Amplitude.
What is the term that describes rise or fall relative to the midline?In some functions such as trigonometric functions in which case, the graph oscillates and hence, rises above or below a midline, the distance above or below the midline of such functions is described by the term amplitude.
Read more on amplitude;
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A county fair charges $5 for tickets and $2 for each ride. What is the y-intercept in this scenario, where y represents the total cost and x represents the number of rides ridden?
7
3
5
2
Answer:
y=2x+5
y-intercept⇒x=0
y=2(0)+5 = 5
the answer is 5
hope this helps :)
I have 10 books, 3 of which are good. If I randomly select a book at random, what's the probability that it is not good?
answer:
the probability of selecting a book that is not good would be:
7/10
Sarah is demonstraing the idea that polynomials are closed under addition. Her work and explanation are shown.
Select an equation and phrases to complete the statement.
Part A:
Add 30° +63 7 to
Equation A 223 - (2x)2 + 42-1
Equation B (2x)? +4. 4. - 9
Equation C (-8x)2 – (3x)3 +7
Part B:
This is closed because
of the sum are
and the sum is a polynomial.
Henry stores the arrowheads he has found in a box the shape of a rectangular prism. The box is 14 inches long, 12 inches wide, and 2 inches high. He plans to paint the exterior of the box. How many square inches does he have to paint?
Pls help it would be very helpful
Answer:
272 square inches
Step-by-step explanation:
Find the surface area
Surface area =
12 * 2 + 12 * 2, (front & back sides)
14 * 2 + 14 * 2, (right & left sides)
12 * 14, (bottom)
24 + 24 + 28 + 28 + 168
48 + 56 + 168
= 272
solve this sum in B,O,D,M,A,S formula.
1. 21 -12 ÷ 4 -3 ×(-7)
2. 30 -{8÷(2×3-4)
explain with using formula
Answer:
2. 26
Step-by-step explanation:
start with the brackets with 2×3-4 get the answer as 2 then divide 8 by the answer then subtract the answer you've got from 30
Venessa has a piggy bank that contains a collection of nickels, pennies, dimes and quarters. She randomly draws a coin out of the
Egy bank, records the result, and then replaces the coin. The results of her draws are shown below.
Based on the results above, predict the number of times a dime would be drawn if Venessa draws a coin 336 times.
A. 58
B. 36
C. 64
D. 38
Answer:
58
Step-by-step explanation:
Coins Number of Drawsnickel 32penny 54dime 13quarter 29Total Number of Draws = 32 + 54 + 13 + 29 = 128Probability of Quarter drawn = 29/128the number of times a quarter would be drawn if Venessa draws a coin 256 times = (29/128) * 256= 29 *2= 58 option B is the right answer
Pls help me as fast as possible and pls only right answers
The expressions are algebraic expressions that uses a, t, w, b, n and x as its variables
How to express them as verbal expressions?To do this we make use of the following terms
Difference represents subtractionSum represents additionProduct represents multiplicationQuotient represents divisionUsing the above highlights, we have the verbal expressions to be:
The square of a number, n is 36The sum of a number, n and 10 is 37Twice a number nThe quotient of 18 and 6The square of a number, n The sum of a number, n and 12The difference between a number, b and 7The difference between 13 and 8The difference between 13 and a number, nThe sum of a number, t and 10 is 24The sum of 12 and 8Eight times a number nThe fifth power of a number, w is 7Twice a number nThe difference between a number, n and 6 is 37The difference between 24 and 16The difference between a number, x and 6 is 14The difference between a number, n and 3 is 9The cube of a number, x is 9Half a number n4 exponent a is 9The ninth power of a number, n is 48Read more about algebraic expressions at:
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The diameter of a circle is 13 meters. Complete the description for how you would find the circumference.
Answer:
Step-by-step explanation:Formula
The circumference of a circle is given by C = pi * d
Givens
pi = 3.14
13 is the diameter.
Solution
C = 3.14 * 13
Answer: C = 40.82
Answer for the blanks.
pid