Answers
θ has a 60-degree reference angle and is located in quadrant II or IV
Explanation:
First, we will get the reference angle:
√3 / 3 is equivalent to 1/√3
This means that the reference angle for θ is 60
Second, we will locate the quadrant:
Based on the ASTC rule, the tan is positive in the first and third quadrants.
Since the given value is negative, therefore, θ is located in either the second or fourth quadrant
Hope this helps :)
Tan30 = - (1/2) / (root (3) / 2)
Tan30 = - (root (3)) / (3)
The tangent is positive in the first quadrant and in the third quadrant.
Therefore the answer is:
Angle 60 in quadrants II and IV
Answer:
Angle 60 in quadrants II and IV
option 3.
Related Questions
The focus of a parabola is located at (4,0), and the directrix is located at x = –4.
Answers
y^2=16x
Hope this helps
Answer with explanation:
A parabola is the locus of all the points such that distance from a fixed point called focus to distance from a fixed line is always constant equal to 1.
Let locus of all the point be (p,q).
[tex]\rightarrow \sqrt{(p-4)^2+(q-0)^2}=p+4\\\\ \rightarrow \text{Squaring both sides}\\\\\rightarrow p^2+16-8 p+q^2=p^2+8 p+16\\\\\rightarrow q^2=8 p+8 p\\\\\rightarrow q^2=16 p\\\\\rightarrow y^2=16 x[/tex]
Required equation of Parabola:
y²=16 x
Using the formula v= l x w x h find the volume of a right rectangular prism when the length of the prism is 45cm the width is 12cm and height is 10cm
Answers
V = 45 * 12 * 10
V = 5400
Hope this helps
The volume of the right rectangular prism is 5400 cubic centimeter.
What is right rectangular prism?
A right rectangular prism is a three dimensional object with six faces, twelve edges, and eight vertices.
Formula for the volume of right rectangular prism:volume of right rectangular prism = length × width × height
According to the given question we have,
length of the prism = 45cm
width of the prism = 12cm
height of the prism = 10cm
Therefore,
The volume of the right rectangular prism = length × width × height
⇒ volume of prism = 45 × 12 × 10 = 5400 cubic centimeter.
Hence, the volume of the right rectangular prism is 5400 cubic centimeter.
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Turning of the water while brushing your teeth saves 379 centiliters off water . how many liters of water can you save if you turn of the water while you brush three times'
Answers
"centi-" is a prefix meaning 1/100. 100 cL = 1 L.
Factor this equation
Answers
9x^2-27xy
9x(x-3y)
This is now factored. I pulled out the greatest common factor:)
Answer:
9x(x-3y)
Step-by-step explanation:
to factor, you need to take the greatest common factor out. with this one, the greatest common factors are 9 and x
answer would be...
9x(x-3y)
You work as a coordinator for data entry projects. On one project, the status report shows that 15% of the work was completed in 6 days. If the work progresses at the same rate, how many more days will be required to complete the remainder of the project?
Answers
Answer: They need 34 more days to complete the remainder of the project.
Step-by-step explanation:
Since we have given that
Number of days the work was done = 6 days
Part of work is completed in these days = 15%
If the work is done at the same rate,
then the remaining part of work is done in how many days.
Remaining part of work is 100% - 15% = 85 %
So, it becomes,
[tex]\dfrac{6}{0.15}=\dfrac{x}{0.85}\\\\x=\dfrac{6\times 0.85}{0.15}=34\ days[/tex]
Hence, they need 34 more days to complete the remainder of the project.
Complete the following statement of congruence: MON~= .
A. STR
B. TRS
C.RTS
D.RST
Answers
Answer:
∵ MON ≅ RTS
∴ The answer is C. RTS.
Step-by-step explanation:
When two triangles are congruent, they will have congruent pairs of vertices. Each vertex in one triangle will have a partner in the other triangle.
Congruent vertex pairsIf we look at ΔMON, we can see it is almost like a right triangle, with:
'M' as the almost-right angle;'O' at the end of the long side, and;'N' at the end of the short side.In the next triangle, each letter has to be in the same order as the congruent vertex in ΔMON.
This triangle is ΔRTS, with:
'R' as the almost-right angle;'T' at the end of the long side, and;'S' at the end of the short side.Thus, the pairs of congruent angles are:
M ≅ RO ≅ TN ≅ SWhen we write the statement of congruence, we order the letters by their congruent pair.
∴ MON ≅ RTS
A gymnasium can hold no more than 650 people. A permanent bleacher in the gymnasium holds 136 people. The event organizers are setting up 25 rows with an equal number of chairs. At most, how many chairs can be in each row?
Answers
subtract permanent seating
=650-136
=514 remaining seating
STEP 2:
divide remaining seating by 25 chairs per row
=514 ÷ 25
=20.56 chairs per row.
This can also be solved using the following equation:
136 + 25x <= 650
25x<=514
x<=20.56
ANSWER: At most, 20 chairs can be in each row. You can only have whole chairs, not partial, so the answer is 20, not 20.56.
Hope this helps! :)
Factor the trinomial
x^2 − 7x + 10
What is the factored form of the trinomial, and why?
A. (x−2)(x−5). The product of –2 and –5 is –10, and their sum is 7.
B. (x−2)(x−5). The product of –2 and –5 is 10, and their sum is –7.
C. (x+2)(x+5). The product of 2 and 5 is 10, and their sum is 7.
D. (x+2)(x+5). The product of 2 and 5 is 10, and their sum is –7.
Answers
x² - 7x + 10
We are going to find something in this form:
↓
( )( )
x² is nothing but x multiplied by itself
↓
(x )(x )
-7x + 10 follows
since the sum is negative and the product is positive then the signs inside the bracket will be as follows
↓
( x - )( x - )
-7x should be the sum and 10 should be the product
multiples of 10 = 1 x 10 = 2 x 5 = -1 x -10 = -2 x -5
↓ ↓ ↓ ↓
1 + 10 = 11 2 + 5 = 7 -1 - 10 = -11 = -2 -5 = -7
So the sum of -2 and -5 is -7 and the product of -2 and -5 is 10
↓
( x - 2 )( x - 5 )
Your final answer will be option B
The factored form of the trinomial (x − 2) (x − 5):
The product of –2 and –5 is –10, and their sum is 7.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
(x − 2) (x − 5)
When factoring a trinomial in the form of ax² + bx + c, we look for two numbers whose product is equal to a x c and whose sum is equal to b.
In this case,
We need two numbers whose product is (1)(10) = 10 and whose sum is -7. These numbers are -2 and -5, so the factored form is (x-2)(x-5).
Thus,
(x − 2) (x − 5)
The product of –2 and –5 is –10, and their sum is 7.
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Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a function rule to represent it. A. 128, 64, 32, 16, ... B. 3, 3.25, 3.5, 3.75, ...
Answers
.. a[n] = 128*(1/2)^(n -1)
B) arithmetic:
.. a[n] = 3 +0.25*(n -1)
_____
As you know, the general term of an aritnmetic sequence is
.. a[n] = a[1] +d*(n -1)
.. ... where a[1] is the first term (n=1) and d is the common difference. n is the term number.
One canned juice drink is 2020% orange juice; another is 1010% orange juice. how many liters of each should be mixed together in order to get 1010l that is 1212% orange juice?
Answers
.. 20%*x +10%*(10 -x) = 12%*10
.. 10x +100 = 120 . . . . . multiply by 100, eliminate parentheses
.. 10x = 20 . . . . . . . . . . subtract 100
.. x = 2
2 liters of 20% juice should be added to 8 liters of 10% juice to make 10 liters of 12% juice.
In general, reducing the interest rate (i) of a credit card but keeping the present value (PV) and number of periods (n) the same will __________. a. decrease the monthly payment (P) needed to pay off the debt b. increase the monthly payment (P) needed to pay off the debt c. eliminate the monthly payment (P) needed to pay off the debt d. have no effect on the monthly payment (P) needed to pay off the debt
Answers
Monthly payments would increase if the interest rate increases. Monthly payments cannot be eliminated.
A) decrease the monthly payment (P) needed to pay off the debt.
Explanation:
When calculating the monthly payment, the interest rate affects the amount you pay.
The higher the interest rate is, the more you must pay monthly in order to pay the debt off within the same number of time periods.
However, if you lower the interest rate, the reverse will be true; you will need to pay less money each month in order to pay off the debt within the same amount of time.
which ratio is equivalent to 10 : 85
20/170
2/15
5/42
20/95
Answers
[tex]10 \div 85[/tex]
is
2/17
now if we see the first option i.e
20/170 we see on simplifying that
it's same as
2/17
hence option 20/170 is correct
Dan and Dawn purchased a house for $69,500. They had to make a down
payment of 20%. How much was the amount of the mortgage they obtained?
a. $13,900
b. $69,500
c. $55,600
d. $76,450
GET A BRAINEST
Answers
Which point is on the line that passes through (0,6) and is parallel to the given line
Answers
Anyways, take the slope of the given line. Since I don’t know what it is, let’s say it’s one.
Create an equation for the new line. Y=1x+b
We know that the line must go through (0,6). Plug in that. 6=0+b
B=6
Now plug b in to get your equation. y=x+6
This will change based on what your slope is
Points depends on the value of slope for the parallel line y = m₁ x + 6.
What are parallel lines?
" Parallel lines defined as two different lines lie in the same plane and never intersect with each other in that plane. Distance between parallel lines remain constant."
According to the question,
Let y = m₁ x + d be the given line.
Slope of parallel lines are equal and line passes through (0, 6)
Therefore,
6 = m₁ (0) + d
⇒ 6 = d
Required line parallel to the given line is
y = m₁ x + 6
Hence, points depends on the value of slope for the parallel line
y = m₁ x + 6.
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A bakery supplier receives an order for 2 tons of flour from a bakery chain The flour is shipped in crates.Each crate holds eight 10- pound bags of flour. How many crates does the supplier need to ship to fulfill the order?
Answers
One Crate = (10•8) = 80lbs
4000/80 = 50
50 crates needed
cristal's gross semimonthly salary is $2968.50. What is the maximum amount she can afford to borrow for a home mortgage?
A) $71,244
B)$124,336
C)$142,488
D)$154,362
Answers
Answer:
C) 142,488
Step-by-step explanation: by adding up here semimonthly, also took test.
The maximum amount she can afford to borrow for a home mortgage is: C)$142,488.
Home mortgageAn employees who receive semimonthly salary will get 24 (12months×2) paychecks per year as the salary is paid twice per year.
Using this formula
Maximum amount= Gross semimonthly salary×24 paychecks×2
Let plug in the formula
Maximum amount=($2968.50×24)×2
Maximum amount=$71,244×2
Maximum amount=$142,488
Inconclusion the maximum amount she can afford to borrow for a home mortgage is: C)$142,488.
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Estimate the percent of decrease.
Original population: 1,503
New population: 1,356
a. 1%
b. 10%
c. 13.5%
d. 15%
Answers
Answer:
Percentage in decrease = 10 %
Step-by-step explanation:
Given : Original population: 1,503 and New population: 1,356.
To find : Estimate the percent of decrease.
Solution : We have given
Original population: 1,503
New population: 1,356.
Value decrease = original population - new population.
Decrease = 1,503 - 1,356
Decrease population = 147
Percentage in decrease = [tex]\frac{decrease\ value}{original}*100[/tex].
Percentage in decrease = [tex]\frac{147}{1503}*100[/tex].
Percentage in decrease = [tex]\frac{14700}{1503}[/tex].
Percentage in decrease = 9.78 %
Estimate = 10 %.
Therefore,
Percentage in decrease = 10 %
A number has the digits 9 and 7. To the nearest 10, the number rounds to 100. what is the number?
Answers
Answer:
97
Step-by-step explanation:
The digits formed by 9 and 7 (without repetition) are 79 and 97. In rounding off a number to the nearest tens, the number in the unit position is considered.
If that number is less than 5, it is changed to 0. However, where the number is above 5, 1 is added to the number in the tens place with the number in the unit place changed to 0.
Going by the above explanation, 79 rounds off to 80 while 97 rounds off to 100.
I need help in the problem
some people can help me plz
Answers
.. x +(2x +4) = 7
.. 3x +4 = 7 . . . . . collect terms
I know you can solve it from there. (x, y) = (1, 6)
3. Let "o" and "r" represent the numbers of orange fish and red fish, respectively.
.. o +r = 31 . . . . . there are 31 fish in a tank
.. o = 7 +r/2 . . . . there are 7 more orange fish than half the number of red fish
The second equation can be substituted into the first.
.. (7 +r/2) +r = 31
.. (3r/2) = 24 . . . . . . subtract 7
.. r = (2/3)*24 . . . . . .multiply by the inverse of the coefficient of r
I know you can solve it from there. (o, r) = (15, 16)
30 POINTS + BRAINLIEST!
Answers
Angle A = 137 degrees
The answer is measure of A is 137
The area of the blue triangle, which is one-half times a base of 47 million times a height of $37.89.
Answers
Jan has a box of magnets. She finds 21 more magnets. She now has a total of 33 magnets. How many magnets did Jan have to start?
12 magnets
21 magnets
45 magnets
33 magnets
Answers
Which is a way to borrow money from a bank or financial institution to pay for a car?
car loan
car lease
car rental
Answers
What are the first 35 digits of pi?
Answers
Here are the first 3000 digits of pi.
3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359408128481 117450284102701938521105559644622948954930381964428810975665933446128475648233 786783165271201909145648566923460348610454326648213393607260249141273724587006 606315588174881520920962829254091715364367892590360011330530548820466521384146 951941511609433057270365759591953092186117381932611793105118548074462379962749 567351885752724891227938183011949129833673362440656643086021394946395224737190 702179860943702770539217176293176752384674818467669405132000568127145263560827 785771342757789609173637178721468440901224953430146549585371050792279689258923 542019956112129021960864034418159813629774771309960518707211349999998372978049 951059731732816096318595024459455346908302642522308253344685035261931188171010 003137838752886587533208381420617177669147303598253490428755468731159562863882 353787593751957781857780532171226806613001927876611195909216420198938095257201 065485863278865936153381827968230301952035301852968995773622599413891249721775 283479131515574857242454150695950829533116861727855889075098381754637464939319 255060400927701671139009848824012858361603563707660104710181942955596198946767 837449448255379774726847104047534646208046684259069491293313677028989152104752 162056966024058038150193511253382430035587640247496473263914199272604269922796 782354781636009341721641219924586315030286182974555706749838505494588586926995 690927210797509302955321165344987202755960236480665499119881834797753566369807 426542527862551818417574672890977772793800081647060016145249192173217214772350 141441973568548161361157352552133475741849468438523323907394143334547762416862 518983569485562099219222184272550254256887671790494601653466804988627232791786 085784383827967976681454100953883786360950680064225125205117392984896084128488 62694560424196528502221066118630674427862203919494504712
to convert 45000 inches into miles which two ratios could you multiply by
Answers
Hope this helped!
Hannah wants to compare the densities (the ratios of mass to volume) of different brands of gelato. What would be an appropriate unit for Hannah's purpose?
Answers
D = m / v
Where,
m: mass
v: volume
We have then that for this problem the appropriate units are:
For the mass m: grams
For volume v: cubic centimeters.
Therefore, the density unit will be:
D [g / cm ^ 3]
Answer:
D [g / cm ^ 3]
Answer:
grams per mm
Step-by-step explanation:
21x^3 - 2x^2 + 20x +11 / 7x+4
Answers
We see that the division in this case is inaccurate.
In non-integer (or inaccurate) divisions, the dividend D (x) is not a multiple of the divisor d (x), and the fundamental property of the division will always be fulfilled:
D (x) = d (x) * c (x) + R (x)
Answer:
See attached image for the solution.
Ms.pacheco is three years older than mr.richards mr.edward is twice as old as mr.richard the sum of mr.richards age and mredwards age is 81
Answers
Mr. Richards is 40 and a half
Mr. Edwards is 81
I need help w/ this problem...please don't answer if you don't know and PLEASE answer as fast as you can...I'm desperate.
Answers
Your angle is 65°.
The measure of the arc is 2×65° = 130°.
If you know the radius or how CD works (does it go through the center), then the answer will be less vague. The central angle = 2 * 65 = 130
the length of BC is
130/360 * 2*pi*r
13/18 * pi r is the general answer.
The volume of a cylinder is given by the formula mc021-1.jpg, where r is the radius of the cylinder and h is the height. Which expression represents the volume of this cylinder? r=x-3 h=2x+7
Answers
r= x-3, while h =2x+7
Thus; volume = π(x-3)²(2x+7)
=π(x²-6x+9)(2x+7)
=π( 2x³-12x²+18x +7x²-42x+63
= π(2x³-5x²+24x+63) cubic units
It can be express as follows: v = π(2x³- 5x²- 24x + 63) cubic unit
The volume of a cylinder is given as follows
volume = πr²h
where
h = height
r = base radius
Therefore,
r = x - 3
h = 2x + 7
Therefore,
The volume can be express as follows
v = π × (x-3)² × (2x + 7)
v = π × x² - 6x + 9 ×(2x + 7)
v = π × 2x³- 12x² + 18x + 7x² - 42x + 63
v = π × 2x³- 5x²- 24x + 63
v = π(2x³- 5x²- 24x + 63) cubic unit
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