Answers
In the second quadrant, both cos and tan are negative while only sin is positive.
To find tan, we will use the following property below:
[tex] \large \boxed{ {tan}^{2} \theta = {sec}^{2} \theta - 1}[/tex]
Sec is the reciprocal of cos. If cos is a/b then sec is b/a. Since cos is 2/3 then sec is 3/2
[tex] \large{ {tan}^{2} \theta = {( - \frac{3}{2}) }^{2} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - \frac{4}{4} \longrightarrow \frac{5}{4} } \\ \large{tan \theta = \frac{ \sqrt{5} }{ \sqrt{4} } } \\ \large \boxed{tan \theta = \frac{ \sqrt{5} }{2} }[/tex]
Since tan is negative in the second quadrant. Hence,
[tex] \large{ \cancel{ tan \theta = \frac{ \sqrt{5} }{2} } \longrightarrow \boxed{tan \theta = - \frac{ \sqrt{5} }{2} }}[/tex]
Answer
tan = -√5/2Related Questions
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answers
Answer: x= -7/8
Step-by-step explanation:
Hope it helps you
Question 7 of 10 Classify the following triangle. Check all that apply. 6 D A. Scalene D B. Right C. Obtuse D. Isosceles E. Acute F. Equilateral
Answers
Answer:
Right angle triangle
Acute
Step-by-step explanation
1 right angle/90 degrees
2 acute angles
What is 2.3(x – 2) = 15
Answers
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{2.3(x - 2) = 15}[/tex]
[tex]\mathsf{2.3(x) + 2.3(-2) = 15}[/tex]
[tex]\mathsf{2.3x - 4.6 = 15}[/tex]
[tex]\large\textsf{ADD 4.6 to BOTH SIDES}[/tex]
[tex]\mathsf{2.3x - 4.6 + 4.6 = 15 + 4.6}[/tex]
[tex]\large\textsf{CANCEL out: -4.6 + 4.6 because it gives the number 0}[/tex]
[tex]\large\textsf{KEEP: 15 + 4.6 because that helps solve find the x-value}[/tex]
[tex]\mathsf{15 + 4.6 = \boxed{\bf 19.6}}[/tex]
[tex]\large\textsf{NEW EQUATION: 2.3x = 19.6}[/tex]
[tex]\large\textsf{DIVIDE 2.3 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{2.3x}{2.3}=\dfrac{19.6}{2.3}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{2.3}{2.3}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{19.6}{2.3}}\large\textsf{ because that gives you the value of x}[/tex]
[tex]\mathsf{\dfrac{19.6}{2.3}= \boxed{\bf x}}[/tex]
[tex]\mathsf{\boxed{\bf x}=\dfrac{19.6}{2.3}}[/tex]
[tex]\boxed{\bf {x = 8.521739}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8.521739}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:) }[/tex]
please complete the table.
Answers
Answer:
my answer in this picture.......
X=
4
7
9
Does anyone know this please help quick !
Answers
Answer:
9
Step-by-step explanation:
Intersecting Chords Formula:
a • b = c • d
where a and b are the segments on one chord and c and d are the segments on the other chord
3*6 = 2*x
18 = 2x
Divide by 2
18/2 =2x/2
9 =x
AC and DG are parallel. Find the value of x, show CLEARLY how you got your answers with reasons
Answers
Answer:
x = 79°
Step-by-step explanation:
∠ABE = ∠BEF = 41° [Alternate angle ]
Now sum of angles of a triangle = 180°
Therefore,
∠EBF + ∠BEF + ∠BFE = 180°
60° + 41° + x = 180°
x = 180° - 60° - 41°
x = 79°
consider the system of equations given below
Y=2/3x+2
Y=5/2x+7/2
which of the following is true about the solution set of the system?
A. The solution is a point on the x-axis.
B. The solution is all the points on the line y=2/3x+3.
C. The solution is a point in the coordinate plane.
D. The solution is the region in the coordinate plane above y=5/2x+7/2.
Answers
Answer:
its A or C
Step-by-step explanation:
Consider the system of equations: Equation 1: -2x + 3y=9 Equation 2 : -8.1 – 7y = 10 Before adding the equations together, which would not result in the elimination of the variables in this system? Multiply the first equation by 8 and the second equation by 2. O Multiply the first equation by 7 and the second equation by 3. O Multiply the first equation by 4 and the second equation by -1. o Multiply the first equation by 14 and the second equation by 6.
Answers
The first option :
Multiply the first equation by 8 and the second equation by 2
would not result in the elimination of the variables in this system
Which of the following is a geometric sequence?
O A. -2, 6, 14, 22, ...
O B. 6, 13, 19, 24, ...
O c. 11, 16, 21, 26, ...
O D. -3,3, -3, 3, ...
Answers
Answer:
O B. 6, 13, 19, 24,
Step-by-step explanation:
because this is the correct answer
Which is a valid conclusion that can be drawn from these statements?
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
A. Opposite angles of a rhombus are congruent.
B.Opposite angles of a quadrilateral are congruent.
C. Every parallelogram is a rhombus.
D. Every quadrilateral is a rhombus.
Answers
Answer:
A. Opposite angles of a rhombus are congruent.
Step-by-step explanation:
A 3 by 3cm grid shows nine 1 by 1 cm squares and uses 24cm of wire.
What length would the wire be for a similar 20 by 20cm sqaure
Answers
Answer:
840 cm
Step-by-step explanation:
Given that in the question we have, : 9, 1 cm × 1 cm squares setting a 3 × 3 grid.
Therefore wire required in 3 x 3 grid is
3(3+1) + 3(3+1)
= 3 × 4 + 3 × 4
= 24 I'm
Similarly, the length of the wire required in 20 by 20 grid will be
=> 20(20+1) + 20(20+1)
=> 20 × 21 + 20 × 21
=> 420 + 420
= 840cm
Which table shows a proportional relationship between a and b?
A.
a b
3 9
4 12
5 20
B.
a b
20 25
24 30
32 40
C.
a b
4 12
5 15
6 24
D.
a b
3 4
6 9
12 16
Answers
please help…………..i have more to ask
Answers
Answer:
YES
Step-by-step explanation:
Find each length using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
✔️Distance between A(-4, 2) and B(1, 4):
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] A(-4, 2) = (x_1, y_1) [/tex]
[tex] B(1, 4) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(1 - (-4))^2 + (4 - 2)^2} [/tex]
[tex] AB = \sqrt{(5)^2 + (2)^2} [/tex]
[tex] AB = \sqrt{25 + 4} [/tex]
[tex] AB = \sqrt{29} [/tex]
✔️Distance between C(2, -1) and D(4, 4):
[tex] CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] C(2, -1) = (x_1, y_1) [/tex]
[tex] D(4, 4) = (x_2, y_2) [/tex]
[tex] CD = \sqrt{(4 - 2)^2 + (4 - (-1))^2} [/tex]
[tex] CD = \sqrt{(2)^2 + (5)^2} [/tex]
[tex] CD = \sqrt{4 + 25} [/tex]
[tex] CD = \sqrt{29} [/tex]
AB = CD = √29
Therefore, they both have the same length.
If α and β are the zeroes of the polynomial ax^2 + bx + c, find the value of α^2 + β^2
Answers
Answer:
Step-by-step explanation:
α + β = -b/a
αβ = c/a
α² + β² = (α + β)² - 2αβ
[tex]= (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}[/tex]
Please help me with this question.
Answers
Answer:
[tex]80\text{ square miles}[/tex]
Step-by-step explanation:
Since the map is using a scale of 1 inch : 5 miles, to find the scale of square inches to square miles, square the ratio:
[tex]\implies 1\text{ square inch}:25\text{ square miles}[/tex]
Since the section of land has an area of 3.2 square inches, the actual area of the section of land must be [tex]3.2\cdot 25=\boxed{80\text{ square miles}}[/tex]
April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs.
What is the complement of April choosing five pop CDs?
choosing five CDs where none of them are pop
choosing five CDs where not all of them are pop
choosing five CDs where at least one of them is pop
choosing five CDs where all of them are pop
Answers
Answer:
Choosing five CDs where not all of them are pop.
Step-by-step explanation:
Answer:
B) choosing five CDs where not all of them are pop
Step-by-step explanation:
E2020
Simplify......................
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{( {a}^{2} + {b}^{2} )}{a} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{ {a}^{4} - {b}^{4} }{ {a}^{3} - a {b}^{2} } [/tex]
[tex] \\= \frac{ ({ {a}^{2} })^{2} - { ({b}^{2} })^{2} }{a( {a}^{2} - {b}^{2} )} [/tex]
[ ∵ (a²)² = [tex]{a}^{4}[/tex] ]
[tex] \\= \frac{( {a}^{2} + {b}^{2} )( {a}^{2} - {b}^{2}) }{a( {a}^{2} - {b}^{2}) } [/tex]
[tex] \\= \frac{( {a}^{2} + {b}^{2} )}{a} [/tex]
Note:[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{ヅ}}}}}[/tex]
EG is the angle bisector of
Answers
Answer:
the remaining angle will be 32
cz angle bisector cuts an angle in two equal parts hooe it may help u
i cant do this lollllllll
Answers
Answer:
12
Step-by-step explanation:
first, do the question in parenthesis
then do the questions in the exponent
then do the question with division
then do addition part
(7-4)^2 = (3)^2
9/3 = 3
9+3 = 12
The seventh term of an arithmetic series is 29 and the sum of the first seventeen terms is 629. Find the sum of the first 100 terms of the series.
Answers
Step-by-step explanation:
everything can be found in the picture
A bag contains 26 letters and 10 numerals. Robin draws two cards from the
bag. What is the probability that she draws 2 numerals?
Answers
Answer:
10C2 / (36C2)
Step-by-step explanation:
Second card= 9/35
Probability that both numerals= 10/36 x 9/35
= 1 / 14
I need help with this plz
Answers
Answer:
[tex]x^{15}[/tex]
Step-by-step explanation:
Distribute the ^3 on top
(27 [tex]x^{6}[/tex] [tex]y^{-9}[/tex])
distribute the ^ -9 on bottom, only to what is in the parenthesis
(27 [tex]x^{-9}[/tex] [tex]y^{-9}[/tex])
the 27's cross out, the [tex]y^{-9}[/tex] 's cross out
[tex]x^{6}[/tex]/ [tex]x^{-9}[/tex] is left
move the [tex]x^{-9}[/tex] to the top of fraction to change its sign
[tex]x^{6}[/tex] · [tex]x^{9}[/tex] = [tex]x^{15}[/tex]
The manned is a powerful force in a free market and 3 to 4 cents and fling some of the factors that cause changes in demand and why it is important for consumer standards and the changes
Answers
Answer:
The description as per the given question is provided below.
Step-by-step explanation:
Demand reflects a shareholder's intent to attract consumers as well as works as a gauge of such a buyer's ability to collect a particular preference for a particular commodity.
The factors that change the demand are as follows:
User needs as well as requirements.Changes affecting associated commodity prices.Peoples' political revenues.The general economy's proportion of participants.PLEASEEE HELPPPPPPP!!!!!!! question is above
Answers
AB=5
Step-by-step explanation:
x^2 - 10=3x
x^2 -3x -10=0
x^2 +2x-5x-10=0
x(x+2) -5(x+2) =0
(x-5) (x+2) =0
x-5=0. x+2=0
x=5. x=-2
Are the following triangles similar, Explain your answer
Answers
35 into binary number
Answers
Answer:
35 in binary is 100011.
Step-by-step explanation:
To find decimal to binary equivalent, divide 35 successively by 2 until the quotient becomes 0.
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Answers
Answer:
Option 2: 67.014
Step-by-step explanation:
There is 28 kg 750 g of sugar in a sack. How many tins of 500 g sugar can be filled using the sugar in the sack?
Answers
Answer:
Step-by-step explanation:
28 kg + 750 g = 28*1000 + 750
28000 + 750
= 28750 g
Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack
= 28750 ÷ 500
= 57 sacks
Answer:
57 sacks
Step-by-step explanation:
28750 ÷ 500 =
57 sacks
Glad to help! :)
Which is equivalent to 80
?
80
4
V80*
O 809
80
o
what is equivalent to 80 1/4?
Answers
please helpppp its due nowwwww
Answers
Answer:
Step-by-step explanation:
instead of (2x - 60 ) there should be (60 - 2x) because since they are parallel lines corresponding sides must be equal . It is contradictory because the size of the corresponding angles is different.
Note : Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).