Answers
Answer:
[tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex]
[tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=-\frac{1}{\sqrt{3} }[/tex]
[tex]csc(x)=2[/tex]
[tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
(I'll just use x for ease of writing)
We have the trig equation [tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex], and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is [tex]\frac{5\pi}{6}[/tex] which has an ordered pair of [tex](-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]
[tex]sin(x)=y[/tex], so [tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=\frac{y}{x}[/tex], so [tex]tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }[/tex]
Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.
[tex]csc(x)=\frac{1}{sin(x)}[/tex], so [tex]csc(x)=2[/tex]
[tex]sec(x)=\frac{1}{cos(x)}[/tex], so [tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=\frac{1}{tan(x)}[/tex], so [tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
Related Questions
Alex measured the rainfall on his property to be 10.5 cm in June which he calculated to be a 35% increase compared to the previous month. how much had it rained in may explain the steps you took to turn in the solution
Answers
Answer: 3.675 cm
Step-by-step explanation:
June was 35% more compared to May
35% of 10.5 cm = 3.675 cm in May
The number of patients treated at Dr. White's dentist office each day for nine days
is 16, 13, 15, 6, 21, 20, 12, 9, 12. Find the mean, median, mode, and range of
the data. If necessary, round to the nearest tenth.
A 13.8, 13, 12, 15
B 13.8, 12, 13, 27
C 15.8, 13, 12, 27
D 13, 15.8, 12, 15
Answers
mean:13.8
range:15
median:13
Answer:
mean= 16+13+15+6+21+20+12+9+12/9
=13.8
median= 13
mode= 12
range= 15
Look at pic down underrr
Answers
Answer:
Triangle rsu = Triangle tus
Statements Reasons
UR ≅ TS Definition of Rectangle
US ≅ US Reflexive Property
<U, <T, <R, <S are all congruent and right angles
Definition of Rectangle
ΔRSU ≅ ΔTUS Side, Angle, Side
UR ≅ TS CPCTC
Just draw a reverse angle,hence you get comparison.
So, satisfying S-S-S
RUS ≅ SUT
RSU ≅ TUS
So, angle
URS = angle TUS
2. Pythagoras Theorem
Triangle RUS
A^2 + B^2 = C^2
Uu^2 + Ss^2 = Rr^2
√Rr = Rr^2 = x
Triangle TUS
A^2 + B^2 = C^2
Ss^2 + Uu^2 = Tt^2
√Tt = Tt^2 = x
UR measure / sin (60) x (90) = US measure.
ST measure / sin (60) x (90) = US measure.
Proves angles RSU = 30 degree
Proves angles TUS = 30 degree
As all adjacent angles in a triangle add up to 180 degree.
Choose the product. -6 p3 (3 p2 + 5 p - 1)
Answers
Answer:
-18p^5 - 30p^4 + 6p^3
another one! what is 7x-8x=23? will mark brainliest!
Answers
Answer:
7x-8x=23
-1x=23
x=-23
Step-by-step explanation:
7x - 8x = 23
-x = 23
x = -23
......
-4( x^3 + x^2 -3 ) =
Answers
=(-4)(x^3+x^2+-3)
=(-4)(x^3)+(-4)(x^2)+(-4)(-3)
=-4x^3-4x^2+12
Classify the triangle by its angles and by its sides
Right isosceles
Acute scalene
Acute isosceles
Obtuse isosceles
Answers
Answer:
Acute isoceles
Step-by-step explanation:
Two base angles of the triangle are equal making it isosceles
The top angle is less than 90° making it an acute angle
Can somebody help me with this question
Answers
Answer: -17 degrees
Step-by-step explanation:
109-126 = -17
Answer:
-17 degrees
Step-by-step explanation:
since it is 126 degrees lower, you minus 126 from 109. 109-126= -17
Chris deposited $445 in an account that earns 3.4% compounded annually. Find the balance in his account after 6 years.
Answers
Answer:
$535.78
Step-by-step explanation:
First find out the annual earnings. So multiply 3.4% by 445
0.034 x 445 = 15.13
That's what the account earns every year. Now multiply it by 6 to know what it'll get in 6 years.
15.13 x 6 = 90.78
Now add that to the initial value.
90.78 + 445 = 535.78
That's the balance in the account after 6 years...
$535.78
Can someone help me out, I'm having trouble on these two questions.
Answers
Answer:
Step-by-step explanation:
7,A=9*6sin30°
=54*0.5
A= 27
8,A=6*10sin60°
A= 60*0.86
A=52....... approximately
9, A=1/2bh
A=0.5*x*xroot 3
A=root3/2 x^2
You can find x using trigonometric values
help please~!!! how many solutions does the equation 4y − 4y − 12 = 14 − 2 have? thanks! <3 first question will be marked as brainiest <3
Answers
Answer:
No solutions
Step-by-step explanation:
The 4y and the -4y will always cancel each other out. This leaves us with
-12 = 14-2
or
-12 = 12
which is never true
Which graph represents the function f(x) = log10(x) − 2? (1 point) logarithmic function passing through point 3, 0. logarithmic function passing through point negative 1, 0. logarithmic function passing through point 1, 2. logarithmic function passing through point 1, negative 2.
Answers
Answer:
logarithmic function passing through point 1, -2.
Step-by-step explanation:
f(x) = log10(x) - 2
Option: logarithmic function passing through point 3, 0 is incorrect because:
f(3) = log10(3) - 2 ≈ -1.5
Option: logarithmic function passing through point -1, 0 is incorrect because log10 is not defined for x < 0
Option: logarithmic function passing through point 1, 2 is incorrect because:
f(1) = log10(1) - 2 = -2
which means that option: logarithmic function passing through point 1, -2 is correct.
A survey of 50 people found that 14 people like building a snowman. If 600 people had responded, how many would have been expected to list building a snowman as their favorite winter activity?
theoretical or experimental probability, and why
Answers
Answer:
168, a little of both
Step-by-step explanation:
Make 14 out of 50, 14/50 simplified its 7/25, multiply it by 600 and you get 168 its a little of both because half the info we were given its experimental since it is not theorized, what we're being given (the question) and what we gave is theorized since we didn't actually perform an experiment to get a real answer
The sum of two consecutive numbers is 131. What are the two numbers? A. 64 and 65 B. 64 and 67 C. 65 and 66 D. 130 and 131
Answers
Subtract 1:
131-1 =130
Divide by 2:
130/2 = 65
First number is 65
For the second number take the first number and add the 1 that you originally subtracted:
Second number : 65 + 1 = 66
The numbers are 65 + 66 = 131
The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers.
Answers
Answer:
The answers are :
The first number : 6
The second number : 2
The third number : 2
Step-by-step explanation:
The value of the variable x, y, and z will be 6, 2, and 2.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let the numbers be x, y, and z.
The sum of three numbers is 10.
x + y + z = 10 …1
The first number minus the second plus the third is 6.
x – y + z = 6 …2
The first minus the third is 2 more than the second.
x – y = z + 2 …3
Add equation 1 and 3, we have
x + x + z = 10 + z + 2
2x = 12
x = 6
Subtract equation 2 from 1, we have
2y = 4
y = 2
Then the value of z will be
6 + 2 + z = 10
z = 2
More about the linear system link is given below.
https://brainly.com/question/20379472
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A bakery uses 3/10 of a cup of flour in one batch of biscuits. The bakery uses 3/5 of a cup yesterday. how many batches of biscuits did the bakery make?
Answers
Answer: The bakery made 3 batches of biscuits.
Step-by-step explanation:
To find how many batches the bakery made set up a proportional relationship .
so if [tex]\frac{3}{10}[/tex] can make 1 batch of biscuit
is asking how many batch of biscuits can [tex]\frac{3}{5}[/tex] cup of flour make
so solve this divide 3/5 by 3/10 to find the number of batches
[tex]\frac{3}{5} /\frac{3}{10}[/tex] = [tex]\frac{30}{15 }[/tex] = 2 +1
Answer:
the bakery made 3 batches of bicuits.
3/10=0.3
3/5=0.6
if 0.3 is 1 batch then 0.6 is 2 batches 1+2=3
What is 181.5% of 18?
Answers
Answer:
32.67
Step-by-step explanation:
18% of 181.5 is 32.67, which is much easier to solve than 181.5% of 18. It works flipped over.
The solution of expression is,
⇒ 32.67
We have to given that;
To find the value of 181.5% of 18.
Since, To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Hence, We can simplify as;
⇒ 181.5% of 18
⇒ 181.5/100 × 18
⇒ 1.815 × 18
⇒ 32.67
Thus, The solution of expression is,
⇒ 32.67
Learn more about the percent visit:
https://brainly.com/question/24877689
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9x - 3y = -42 and -9x + 8y =22
Answers
Answer:
(-5 1/9, -4)
Step-by-step explanation:
Add the equations
5y=-20
y=-4
-9x+8(-4)=22
-9x-32=22
-9x=46
x= - 5 1/9
ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 2:1. Which ratio is also equal to 2:1?
Answers
Answer:
4)
Step-by-step explanation:
When triangles are similar, their corresponding angles are congruent. So, it is not 1) and 2).
Areas ratio is squared to ratio of their sides, so it is not 3).
Perimeter is sum of the sides. All corresponding sides in similar triangles have the same ratio. So, answer is 4).
The ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1
What are similar triangles?"Two triangles are similar when their corresponding sides are in proportion to each other and corresponding angles are equal."
What is ratio?"It is the comparison of two quantities of the same kind."
For given question,
ΔABC is similar to ΔDEF.
⇒ [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]
And ∠A = ∠D, ∠B = ∠E, ∠C = ∠F
We know, if two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
⇒ [tex]\frac{area~of~\Delta {ABC}}{area~of~\Delta DE F} =(\frac{AB}{DE})^2 = (\frac{BC}{EF})^2 = (\frac{AC}{DF})^2[/tex]
We know, the perimeters of the similar triangles are in the same ratio as the sides.
[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]
The ratio of the length of AB to the length of DE is 2:1
[tex]\Rightarrow \frac{AB}{DE} = \frac{2}{1}[/tex]
[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{2}{1}[/tex]
Therefore, the ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1
Learn more about similar triangles here:
https://brainly.com/question/25882965
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what is the quotient of 3 and y? Is it 3 over y or y over 3?
Answers
Answer:
it is 3/y.
Step-by-step explanation:
the answer is 3/y because 3 comes before y in the question.
The shadow cast by a television tower is 171 ft 10 in. A pole that is stuck in the ground nearby has 2 ft sticking above the ground and casts a shadow that is 6 ft 3 in. in length. Based on this information, how high is the television tower?
Answers
Answer:
the height is 54.99 ft or 659.84 in
Step-by-step explanation:
We know that the sides of similar triangles are proportional, so we can write:
2 ft / 6 ft 3 in = x / 171 ft 10 in
Now what we must do first and pass everything to the same unit of measurement:
Knowing that 1 foot equals 12 inches:
6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in
171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in
2 ft = 2 ft * 12 in / ft = 24 in
replacing:
24 in / 75 in = x / 2062 in
x = 24 * 2062/75
x = 659.84 in
Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft
That is, the height is 54.99 ft or 659.84 in
PLEASE HELP A boat is carrying containers that weigh 1000 pounds each. Use this information to fill in the table. Then plot the ordered pairs given by the table.
Answers
Answer:
For the table, the answers are 2000, 4000, 7000. for the graph the plots will be at (2,2000) (4,4000) (7,7000)Step-by-step explanation:
A boat is carrying containers that weigh 1000 pounds each.
For the table
2 x 1000 = 2000
4 x 1000 = 4000
7 x 1000 = 7000
For the graph
2, 4, and 7 are given as your X axis points. You will then raise those answers to your corresponding answers for the table. so your Y axis points will be 2000, 4000, and 7000.
Show and explain why 6 is not a solution to the inequality below.
2x - 9 ≥ 5
Answers
Answer:
x ≥ 7
Step-by-step explanation:
2x -9 ≥ 5
+9
x ≥ 14
14/2
=7
x ≥ 7
Jesse had $421.56 dollars in his checking account
when he deposited g twenty-dollar bills and k quarters
Write an expression that represents the amount of
money in his account after his deposit.
Answers
Answer:
An expression that represents the amount of money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]
Step-by-step explanation:
Jesse had $421.56 dollars in his checking account
Now he deposited g twenty-dollar bills
Now new amount =$421.56+20g
Now he deposited k quarters
1 quarter = 0.25
k quarters = 0.25k
So, Amount in the account = 421.56+20g+0.25k
Hence an expression that represents the amount of money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]
Based on the graphic, which three-dimensional figure has the greatest volume?
A) the cylinder
B) the rectangular prism
C) the oblique rectangular prism
D) all three have the same volume
Answers
Help ASAP ❤️❤️❤️!!!!!!!!!!
Answers
Answer:
17.7 and 4.09
Step-by-step explanation:
Using the sine ratio in both right triangles
(49)
sin43° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{a}{26}[/tex] ( multiply both sides by 26 )
26 × sin43° = a, thus
a ≈ 17.7 ( to 1 dec. place )
----------------------------------------
(50)
sin43° = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 )
6 × sin43° = a , thus
a ≈ 4.09 ( to 2 dec. places )
solve for 4x2 + x - 6 = 0
Answers
Answer: [tex]x= \frac{-1+\sqrt{97} }{8} , \frac{-1-\sqrt{97} }{8}[/tex]
Step-by-step explanation:
Use the Quadratic Formula .. if you use Completing the Square it'll take longer!!
In general, given [tex]ax^{2} +bx+c=0[/tex] , there exists two solutions where:
[tex]x=\frac{-b+\sqrt{b^{2} -4ac} }{2a}[/tex] , [tex]\frac{-b-\sqrt{b^{2} }-4ac}{2a}[/tex]
In this case, a=4 , b=1 and c= -6
[tex]x= \frac{-1+\sqrt{1-4*4*-6} }{2*4}[/tex] , [tex]\frac{-1-\sqrt{1-4*4*-6} }{2*4}[/tex]
Simplify.
[tex]x=\frac{-1+\sqrt{97} }{8}[/tex] , [tex]\frac{-1-\sqrt{97} }{8}[/tex]
If Maria left a $10.16 tip on a breakfast that cost $86.89, approximately what percentage was the tip.
Answers
Answer:
11.6929451 %
Step-by-step explanation:
Take the amount of the tip over the total amount to find the percent left
10.16/86.89 =
.116929451
Multiply by 100 to put in percent form
11.6929451 %
Answer:
approx: 11.693%
Step-by-step explanation:
First divide the tip by the cost:
10.16/86.89
which =
0.11692945103
To get it to a percent we multiply by 100:
0.11692945103x100=
11.692945103
now all we need to do is add the percentage
11.692945103%
And it says approximately so that means round. A good place to round in a number as large as this is the thousandths place, so since the 9 next to the 2 is closer to 10 we make the 2 a 3 to fully complete the rounding.
= 11.693%
please mark brainliest and have a great day
Solve this equation: 3x –1/5- 2/9x= 124/5
Step 1: Simplify by combining like terms. Which terms can
be combined?
Answers
Answer:
x = 9
Step-by-step explanation:
Given
3x - [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] ( add [tex]\frac{1}{5}[/tex] to both sides
3x - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] + [tex]\frac{1}{5}[/tex] = [tex]\frac{125}{5}[/tex] = 25 ← combine x- terms on left side
[tex]\frac{25}{9}[/tex] x = 25 ( multiply both sides by 9 )
25x = 225 ( divide both sides by 25 )
x = 9
A pair of shoes usually sells for $65. If the shoes are 30% off, and sales tax is 6%, what is the total price of the shoes, including tax?
A. $44.79
B.
$49.40
C
$51.68
D
$48.23
Answers
Answer:
Step-by-step explanation:
Since 20% is taken off, 100%-20% or 80% remains.
80% of $65 is 0.80�$65 or $52. That's the price without tax.
The tax on $52 is 0.06�$52 or $3.12,
$52 + $3.12 = $55.12
Answer:
d
Step-by-step explanation: