PLEASE HELP ME BOTH MY TUTORS LEFT AT THE SAME TIME I NEED MAJOR HELP!!! PPPPLLLLEEEEAAAASSSSEEE
What is the length of an arc with a central angle of 5/4π radians and a radius of 34 centimeters?
Use 3.14 for pi.
Enter your answer, as a decimal, in the box.
What is the value of y?(picture)
Enter your answer in the box.
Round your final answer to the nearest whole number.
What is tanB ? (picture)
Enter your answer, as a simplified fraction, in the box.
Based on the diagram, what is tanA ?(picture)
Enter your answer in the boxes.
What is the value of x?
sin(x+34)°=cos(2x+20)°
Enter your answer in the box.
What is the value of x?
cos63°=sinx
Enter your answer in the box.
Answers
The formula to use is
s = r*theta
where,
s = arc length
r = radius
theta = angle in radians
Note: if the angle is not in radians, you have to convert it over to radians. However, in this case we are told the angle is "5pi/4 radians". So no conversion is needed.
In this case,
s = unknown (this is what we want to solve for)
r = 34
theta = 5pi/4
keep in mind that 5pi/4 is the same as (5/4)*pi
----------------------------
Plug the value of r and theta into the formula to get...
s = r*theta
s = 34*(5pi/4)
s = (34*5/4)*pi
s = 42.5*pi
s = 42.5*3.14
s = 133.45
----------------------------
----------------------------
Final Answer: 133.45
===============================================
Problem 2
sin(angle) = opposite/hypotenuse
sin(61.7) = 8/y
y*sin(61.7) = 8
y = 8/sin(61.7)
y = 9.08598042654456 ... use a calculator
y = 9 ... rounding to the nearest whole number
----------------------------
----------------------------
Final Answer: 9
===============================================
Problem 3
We need to know the length of BC. Let's call this x for now. Use the pythagorean theorem to find x
x^2 + 14^2 = 50^2
x^2 + 196 = 2500
x^2 + 196-196 = 2500-196
x^2 = 2304
sqrt(x^2) = sqrt(2304)
x = 48
So BC = 48 units long
Now we can compute the tangent of angle B
----------------------------
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(B) = 14/48
tan(B) = 7/24
----------------------------
----------------------------
Final Answer: 7/24
===============================================
Problem 4
In this current stage, I cannot answer this question because the image isn't showing up. On my end, all I see is a black rectangle with no triangle showing. It seems like some kind of glitch is happening. Please repost this image. Thank you.
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Problem 5
There are multiple answers here so it seems like there should be a restriction. Does it state what the restriction must be? Please let me know. Thank you.
===============================================
Problem 6
Rule:
sin(x) = cos(90-x)
where x is an angle in degrees
----------------------------
Using that rule mentioned above, we can replace the "sin(x)" term with "cos(90-x)" then solve for x
cos(63) = sin(x)
cos(63) = cos(90-x)
both arguments must be equal, so 63 must be equal to 90-x
63 = 90-x
63+x = 90-x+x
x+63 = 90
x+63-63 = 90-63
x = 27
----------------------------
----------------------------
Final Answer: 27
Related Questions
Given that 56 square equals 3,136 find the square of112
Answers
so 56 square = 3136
112 squared = 56 squared x 2 squared = 3136 x 4 =12544
fine the distance between 8 and 32
Answers
d = 32 - 8
d = 24
The difference is 24.
The answer is 24
On a clear day you can see about 27 miles from the observation deck of the Empire State Building in New York City. Using the formula below, estimate the height in feet ,h, of the observation deck.
Answers
Answer:
Step-by-step explanation:
Alright, lets get started.
Distance we can see from the building d is given as 27 miles.
We are asked to find height of the building h
The formula is given as [tex]d=\frac{5}{6}\sqrt{h}[/tex]
Plugging the value of d
[tex]27=\frac{5}{6}\sqrt{h}[/tex]
Cross multiplying
[tex]\sqrt{h}=\frac{6}{5}*27[/tex]
[tex]\sqrt{h}=32.4[/tex]
Taking square root on both sides
[tex]h=1049.76[/tex]
So, the height of the observation desk is 1050 feet. : Answer
Hope it will help :)
Given the statement "If Jack’s pet is a pig, then Jack’s pet cannot fly,” which statement represents the converse?
q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly~q → ~p, where p = Jack’s pet cannot fly and q = Jack’s pet is a pig p → q, where p = Jack’s pet is a pig and q = Jack’s pet cannot flyq → p, where p = Jack’s pet is not a pig and q = Jack’s pet is a pig
Answers
the answer is A just had the practice quiz
Converse statement of "If Jack’s pet is a pig, then Jack’s pet cannot fly,” is given by " q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly."
What is converse statement?" Converse statement is defined as when the hypothesis and conclusion of a statement interchange or reversed."
According to the question,
Given,
p → q
Hypothesis of a statement 'p': If Jack’s pet is a pig
Conclusion of a statement 'q' : then Jack’s pet cannot fly
Converse of a statement is given by reversing hypothesis and conclusion we get,
q → p
Hypothesis of a statement 'q' : If Jack’s pet cannot fly
Conclusion of a statement 'p': then Jack’s pet is a pig
Hence, converse statement is given by q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly.
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The petting zoo is not closed and the animals are not being fed by people.
write the statement that is logically equivalent to the statement
Answers
De Morgan's laws of distributing negation over disjunction and conjunction states that
2.) ¬ ( a ∧ b ) ≡ ( ¬ a ∨ ¬ b )
Thus, given the statement "The petting zoo is not closed and the animals are not being fed by people."
The statement is the conjunction of the negation of the statement "The petting zoo is closed" and the negation of the statement "The animals are being fed by people".
Using the first of De Morgan's laws above, we have that the equivalence of the statement given above is: "It is not the case that the petting coo is closed or the animals are being fed by people".
Yulian works at the zoo feeding the animals. He puts water in the elephant habitat at the beginning of the day. This table shows how much water, in gallons, remains at different times during the day. Time (h) 2 4 6 8 Water remaining (gal) 43 36 29 22 What is the equation that represents Yulian’s situation, where x represents the time and y represents the amount of water? Enter your answer in the boxes. y−29=___ (x−___ )
Answers
time (h): 2 4 6 8
gallons: 43 36 29 22
A graph of the data shows a linear relationship.
Therefore in slope-intercept form, let
(y - 29)/(x - 6) = m
where m = the slope of the straight line.
Calculate the slope.
m = (43 - 22)/(2 - 8) = -7/2
Answer: [tex]y-29 = - \frac{7}{2} (x-6)[/tex]
A survey at your school found that 792 in 1,220 students have a cell phone. what percent of the students in school has a cell phone? round to the nearest hundredth where necessary.
Answers
=0.65
0.65x100=65
So 65% of the students in the school has a cell phone.
64.84% of the students in the school have a cell phone.
To find the percentage of students with cell phones, divide the number of students with cell phones by the total number of students, then multiply by 100.
Find the fraction of students with cell phones: [tex]\( \frac{792}{1220} \)[/tex].
Divide to get the decimal: [tex]\( \frac{792}{1220} = 0.6484 \)[/tex].
Multiply by 100 to get the percentage: [tex]\( 0.6484 \times 100 = 64.84\% \)[/tex].
Three consecutive odd integers have a sum of 33 . find the integers.
Answers
9, 11, and 13 are all odd integers and are consecutive. When added, they total to give you 13
What geometric term does the flight path of a plane on radar represent?
A line B plane C angle D point
Answers
the answer is A. Line
The Geometric Term that best approximates this reality is option A (A line).
Planes usually travel in a straight Line at constant Speed, Flight Path represents the Trajectory taken by the Plane and shown on radar, which can be either a Line or a Curve.
Hence, the Geometric Term that best approximates this reality is option A (A line).
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Bob runs 5 miles in 38 minutes. at the same rate, how many miles would he run in 57 minutes?
Answers
Find the derivative of f(x) = 7 divided by x at x = 1.
Answers
F(x) = 7/x
Same as..
F(x) = 7x^-1
Take derivative..
F'(x) = -7x^-2
Plug in x = 1
F'(1) = -7(1)^-2
F'(1) = -7
The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.
What is derivative?A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.
here, we have,
given that,
the derivative of f(x) = 7 divided by x at x = 1.
so, we get,
F(x) = 7/x
Same as..
F(x) = 7x^-1
we know that,
d/dx (x^n) = n*x^n-1
so, using this, we get,
Take derivative..
F'(x) = -7x^-2
Plug in x = 1
F'(1) = -7(1)^-2
F'(1) = -7
Hence, The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.
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The measure of each interior angle of a regular polygon is eleven times that of an exterior angle how many sides does the polygon have
Answers
180(x-2)/x=11*360/x
180(x-2)=11*360
x-2=11*2
x-2=22
x=24
the polygon has 24 sides.
The polygon would have 24 sides.
[tex]\frac{180n - 360}{n}[/tex] ≈ [tex]\frac{360}{n}[/tex] ([tex]\frac{11}{1}[/tex])
[tex]\frac{180n - 360}{n}[/tex] = [tex]\frac{3960}{n}[/tex]
180n - 360 = 3,960
180n = 4,320
n = 24
A car traveled 360 km in 6 h. A train traveled 400 km in 8 h. A boat traveled 375 km in 5 h. Which has the fastest average speed
Answers
The most Kilometers traveled per one hour was traveled by THE BOAT at 75 Km/h. Therefore, the boat had the fastestaverage speed.
How to find third point between two points given coordinates?
Answers
Put in values into the equation; (x₁+x₂)/2, (y₁+y₂)/2
This equation will give you the coordinates for the point in the middle (x, y).
Hope I helped :)
3(6/8−1/2)+0.25 Please help with fractions
Answers
Now we do 1/4 * 3 = 3/4 or 0.75
Finally, we do 3/4 + 0.25 [1/2] = 5/4 or 1.
Hope this helps! ☺♥
[tex]3( \frac{6}{8} - \frac{1}{2}) + 0.25[/tex]
[tex]3( \frac{3}{4} - \frac{1}{2}) + 0.25[/tex]
[tex]3( \frac{1}{4}) + 0.25 [/tex]
[tex] \frac{3}{4} + 0.25 = 1 [/tex]
Good luck!
Select the equation that most accurately depicts the word problem.
The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.
68 = 9L + 2
68 = 2L + 2(9)
68 = 9(L + 2)
68 = + 2(9)
68 = +
68 = 2(L - 9)
Answers
hope that helps, God bless!
Answer:
68 = 2L + 2(9)
Step-by-step explanation:
k + k divided by 2 when k = 20
Answers
The lengths of the sides of a triangle are 8, 15, and 17. if the longest side of a similar triangle is 51, what is the length of the shortest side?
Answers
51 / 17 = 3
So the similar triangle is 3 times as big.
To find the shortest side of the similar triangle, you multiply 8 and 3.
8 * 3 = 24
The length of the shortest side of the similar triangle is 24.
Hope this helps!
he length of the shortest side is 32
Similar triangles and scale factorsGiven the length if the sides of the triangle to be 8, 15 and 17. If the longest side of a similar triangle is 51, then the scale factor will be expressed as:
Scale factor = 51/17
Scale factor = 4
For the shortest side;
Length = 8 * scale factor
Length = 8 * 4
Length = 32
Hence the length of the shortest side is 32
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The length of a rectangle is 10 feet more than the width. if the perimeter of the rectangle is 180 feet, find the length and the width of the rectangle
Answers
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
1. 7, 1+i
2.
Answers
The polynomial function of least degree with rational coefficients, a leading coefficient of 1, and the given zeros 7, 1 + i, and 1 - i is f(x) = x^3 - 9x^2 + 21x - 14.
Explanation:In mathematics, zeros are the x-values where a function touches or crosses the x-axis, or the values where f(x) = 0. When a polynomial has rational coefficients and you have a complex zero (a + bi), the conjugate of that zero (a - bi) also needs to be a zero of the polynomial. This is based on the Complex Conjugate Root Theorem. Hence, in this case, the other zero will be 1 - i.
Since you are given zeroes of 7, 1 + i, and 1 - i, the polynomial function of least degree is obtained by employing the Factor Theorem, which states that if k is a zero of a polynomial, then (x - k) is a factor of the polynomial.
Therefore, f(x) = (x - 7)(x - (1 + i))(x - (1 - i)) = (x - 7)(x^2 - 2x + 2). So, f(x) = x^3 - 9x^2 + 21x - 14 is the polynomial function of least degree with rational coefficients, a leading coefficient of 1, and the given zeros.
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What is the perimeter of a polygon with vertices at (−2, 1) , (−2, 4) , (2, 7) , (6, 4) , and (6, 1) ?
Enter your answer in the box. Do not round any side lengths.
____ units
Answers
[tex]d = \sqrt{{(y2 - y1)}^{2} + {(x2 - x1)}^{2} } [/tex]
[tex]d1 = \sqrt{{(1 - 4)}^{2} + {( - 2 - - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3[/tex]
[tex]d2 = \sqrt{{(4 - 7)}^{2} + {( - 2 - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {( -4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5[/tex]
[tex]d3 \: = \sqrt{{(7 - 4)}^{2} + {(2 - 6)}^{2} } \\ = \sqrt{{(3)}^{2} + {( - 4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5[/tex]
[tex]d4 = \sqrt{{(4 - 1)}^{2} + {(6 - 6)}^{2} } \\ = \sqrt{ {(3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3[/tex]
[tex]d5 = \sqrt{{(1 - 1)}^{2} + {(-2 - 6)}^{2} } \\ = \sqrt{ {(0)}^{2} + {( - 4)}^{2}} = \sqrt{16} \: = 4 [/tex]
Now, we add all sides for the perimeter:
p = d1 + d2 + d3 + d4 + d5
p = 3+5+5+3+4 = 20 units
The other answer was using the formula correctly through most of the problem, but made a mistake when finding the last distance (#5). The person took away (-2-6 = - 4), which is incorrect. The correct answer is -8 because your adding two negatives. So, the correct answer for the whole problem is 24 units.
Good job to the person who answer they did the whole math problem - just made a little mistake at the end.
at a local pizza parlor, patrons have 2 choices of cheese and 14 choices of topping. in how many different ways can a patron choose 1 type of cheese and 1 type of topping?
30
28
16
2
Answers
A stock market analyst observes the following for the price of two stocks that he owns, one of which is increasing at an exponential rate (geometric) and the other is increasing in a linear fashion (arithmetic).
Stock A: Equation: an = 15n + 130, where an is the value of the stock and n is the number of years.
Year Price
1 $145.00
2 $160.00
3 $175.00
4 $190.00
5 $205.00
Stock B: Equation: an = 36(1.09)n − 1, where an is the value of the stock and n is the number of years.
Year Price
1 $36.00
2 $39.24
3 $42.77
4 $46.61
5 $50.82
Assuming these stock values continue to increase in the same manner until retirement, which stock option is worth more in 50 years and how much more is this stock worth per share?
OPTIONS:
A) Stock B is worth more in 50 years, $1,575.84 more per share
B) Stock A is worth more in 50 years, $1,364.08 more per share
C) Stock B is worth more in 50 years, $1,796.87 more per share
D) Stock A is worth more in 50 years, $880.00 more per share
Answers
in 50 yeras stock B gives 50(1.09)^50 = $2676.87
2676.87 - 880 = $ 1796.87 / share
Its C
Stock B is worth more in 50 years, $1,575.84 more per share.
Explanation:To determine which stock option is worth more in 50 years, we need to find the value of each stock after 50 years.
For Stock A, we have the equation: an = 15n + 130. Plugging in n = 50, we get a50 = 15(50) + 130 = $880.
For Stock B, we have the equation: an = 36(1.09)n - 1, where n is the number of years. Plugging in n = 50, we get a50 = 36(1.09)^50 - 1 = $2,455.84.
Therefore, Stock B is worth more in 50 years, $1,575.84 more per share.
A squirrel is traveling at a rate of 12 miles per hour. Write the rate in miles per minute.
Answers
1 hour = 60 minutes
12/60 = 0.2 miles per minute
Write an equivalent expression for 5x + 2y + 3x
Answers
5x + 2y + 3x = 8x + 2y
I'm not sure if this is the answer you're looking for but, I hope this helps!
The equivalent expression is 8x + 2y.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5x + 2y + 3x
Add like terms.
8x + 2y
Thus,
The final expression is 8x + 2y.
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Which is a correct expansion of (2x+3)(2x^2-5)
A. 2x•2x^2+2x•(-5)+3•2x+3•(-5)
B. 2x•2x^2+2x•(-5)+3•2x^2+3•(-5)
C. 2x•2x^2+3•2x^2+2x^2•(-5)+3•(-5)
Answers
2x * 2x^2
2x * -5
3 * 2x^2
3 * -5
2x * 2x^2 + 2x * -5 + 3 * 2x^2 + 3 * -5
Hope this helps!
Answer: B
2X.2X^2+2X.(-5)+3.2X^2+3.(-5)
Step-by-step explanation:
(2X+3) (2X^2-5)
Cross multiply (2X+3) by (2X^2-5)
2X*2X^2+
2X*(-5)+
3*2X^2+
3*(-5)
= 2X*2X^2+2X*(-5)+3*2X^2+3*(-5)
Mari has a part time job. She earns $7 an hour. She makes at most $143.50 a week. What is the greatest number of hours that she works?
Answers
Mari works at most 20 hours per week.
Explanation:To find the greatest number of hours that Mari works, we can divide her total weekly earnings by her hourly wage. In this case, we divide $143.50 by $7. The result is approximately 20.5. Since Mari cannot work a fraction of an hour, we round down to the nearest whole number. Therefore, the greatest number of hours she works is 20 hours.
Jean has $20 and is going shopping to buy 3 scarves and as many pairs of earrings as possible. How many pairs of earrings can she buy if scarves cost $2.55 each and earrings cost $2.99 a pair? Jean can buy at least 4 pairs of earrings. Jean can buy more than 4 pairs of earrings. Jean can buy less than 4 pairs of earrings. Jean can buy at most 4 pairs of earrings.
Answers
20 - 7.65= $12. 35
you have $12.35 left to buy earrings
12.35 / 2.99= 4, Jean can only buy 4 pairs of earrings
How is 10 ounces written using apothecary abbreviations?
Answers
Apothecary abbreviations or apothecary symbols are usually found in medical recipes. For this case, we are to write 10 ounces into apothecary symbols. In this abbreviation, numbers are written in Roman Numeral and the unit precede the number, hence:
oz x
10 ounces can be written as 10 oz in apothecary abbreviations.
Explanation:To write 10 ounces using apothecary abbreviations, we need to convert ounces to the appropriate apothecary unit. In the apothecary system, 1 ounce is abbreviated as oz. So, 10 ounces would be written as 10 oz in apothecary abbreviations.
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Which equation exemplifies the Associative property of addition?
8+2=2+8
4+(2+1) = (4+2)+1
4+5=1+8
9(5•6)=(9•5)6
Answers
2) A(-4
3) B(4+(2+1)=4+2)+1
4) D(3(2x4)=(3x2)4
5) A(5+6=6+5
6) C(12x1=1x12
7) D(Exponents
8) A(addition and subtraction
9) A(55
10) B(19
Answer:
Equation which exemplifies the associative property of addition is:
4+(2+1) = (4+2)+1
Step-by-step explanation:
The associative property of addition says that:
if a,b and c are the three terms
Then,
a+(b+c)=(a+b)+c
which is given in the equation:
4+(2+1) = (4+2)+1
Hence, equation which exemplifies the associative property of addition is:
4+(2+1) = (4+2)+1