if sec theta = 5/3 and the terminal point determined by theta is in quadrant 4, then:
Answers
Answer:
A. csc 0 = -5/4 or B. cos 0 = 3/5
Answer:
B or A
Step-by-step explanation:
sec(theta) = 1/cos(theta)
cos(theta) = adjacent side / hypotenuse.
The csc(theta), the sin(theta) and the tan(theta) in quad 4 are all minus
Since the cos(theta) is positive in quad 4, B is going to be the answer.
The value for sin(theta) should be sin(theta) = - 4/5 not 2/5
Tan(theta) = - 4/3
Note: 4 is found by using the Pythagorean Theorem because the trigonometric functions are all defined by the sides of a right triangle.
a^2 + b^2 = c^2
a = the adjacent side = 3
b = the opposite side = b
c = the hypotenuse = 5
3^2 + b^2 = 5^2
9 + b^2 = 25
b^2 = 16
b = 4
Related Questions
are the triangle similar
1-yes
2-no
Answers
Step by Step Explanation:
This is because the interior angle of any triangle adds up to 180 degrees. If two angles of the triangles are equal in the same angle, such as angles GOT and NUF are both 97. Additionally it can be pictured that if the triangle TOG were to be flipped 180 degrees, it would resemble triangle FUN
Answer:
yes the triangle are similar
What is the common ratio for the sequence 5.-10. 20.-40. ?
-2
-1/2
1/2
2
Answers
Answer:
-1/5
Step-by-step explanation:
i think thsts correct answer if not the answer is 1/2
Find the measure of CD⎯⎯⎯⎯⎯⎯⎯⎯.
A. 8
B. 6
C. 5
D. 7
Answers
Answer:
Using the property of intersecting secant:-
[tex](DE)(CE)=(FE)(LE)[/tex]
[tex](4)(x-1+14)=(5)(x-4+5)[/tex]
[tex]4(x+3)=(5x+1)[/tex]
[tex]4x+12=5x+5[/tex]
[tex]4x+-5x=5-12[/tex]
[tex]-x=-7[/tex]
[tex]x=7[/tex]
[tex]So, CD=x-1=7-1=6[/tex]
[tex]so,~your ~answer ~is ~B) ~6[/tex]
----------------------------hope it helps...have a great day!!By intersecting secants theorem, the measure of CD is 6 units.
What is intersecting secants theorem?
The theorem states that when two secants intersect at an exterior point, the product of the one whole secant segment and its external segment is equal to the product of the other whole secant segment and its external segment.
For the given situation,
The diagram shows the circle with the two secants intersecting at the exterior point.
By intersecting secants theorem,
[tex](CE)(DE)=(LE)(FE)[/tex] -------- (1)
Here, CE = CD + DE
⇒ [tex]CE = (x-1)+4[/tex]
DE = 4
LE = LF + FE
⇒ [tex]LE = (x-4)+5[/tex]
FE = 5
On substituting the above values in 1,
⇒ [tex](x-1+4)(4)=(x-4+5)(5)[/tex]
⇒ [tex](x+3)(4)=(x+1)(5)[/tex]
⇒ [tex]4x+12=5x+5[/tex]
⇒ [tex]5x-4x=12-5[/tex]
⇒ [tex]x=7[/tex]
Thus CD = [tex]x-1[/tex]
⇒ [tex]7-1=6[/tex]
Hence we can conclude that by intersecting secants theorem, the measure of CD is 6 units.
Learn more about intersecting secants theorem here
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Cash in hand $79; Bank overdraft $27
Answers
Answer:
Step-by-step explanation:
cash in bank = 79
overdraft = 27
left = 79 - 27
= 52
The question is in the pic.
Answers
Answer:
$100
$120 in and $20 out
Step-by-step explanation:
Answer:
the answer is $100
because if the bank is loosing 2% they are having to pay $20 bc 0.02 x 1,000= 20, and they are earning 12% they getting 120 bc 0.12 x 1,000 = 120, and 120-20= $100. you have to subtract the $20 because that is what the bank is paying, so it's losing money
Factor completely 25x^4y^6 − 1
Answers
Answer:
(5x2y3+1)(5x2y3−1)
Step-by-step explanation:
In this case, since this equation has both sides as a perfect square, you can apply the difference of squares formula a^2 - b^2 = (a+b) (a-b)
Applying this formula and factoring it accordingly leaves us off with (5x2y3+1)(5x2y3−1).
What is the factored form of 6n4 – 2413 + 18n?
ово
Bn(n° +4nº +31)
Bn(-° +30
6n(n°-4n2+3)
o Bn(n° +4n? +3)
O
Answers
6n(n3-4n2+3)
Option C is correct, 6n(n³-4n²+3) is the factored form of expression 6n⁴ – 24n³ + 18n
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 6n⁴ – 24n³ + 18n.
Six times of n power four minus twenty four times of n cube plus eighteen times of n.
6n⁴ – 24n³ + 18n.
Now we have to find the factored form of 6n⁴ – 24n³ + 18n.
Take 6n as common
6n(n³-4n²+3)
Hence, Option C is correct, 6n(n³-4n²+3) is the factored form of expression 6n⁴ – 24n³ + 18n
To learn more on Expressions click:
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If Arnold charges $522.00 for a 4 personal training sessions (of an hour each)
a) What is his hourly rate?
b) How much would he charge for a 3 hour session?
Answers
Answer:
Hourly rate = 130.50
3-hour session = 391.50
Step-by-step explanation:
Part 1
Step 1: Divide the given figures
522.00/4 = 130.50
Step 2: Multiply the result to the number being looked for
130.50 * 1 = 130.50
So, Arnold’s hourly rate is 130.50
Part 2
Step 1: Multiply the answer found in part one to 3
130.50 * 3 = 391.50
Therefore, Arnold’s would charge $391.50 in a 3-hour session
Which of the following is a geometric sequence?
O A. 2, 4, 8, 16, 32
O B. 3, 6, 9, 15, 24
O C. 6, 13, 20, 27, 34
O D. 2,5,7,12, 19
Answers
explanation: multiply 2 x 2= 4 then 4 x 2= 8 then 8 x 2= 16 then 16 x 2= 32 so basically your just multiplying every number by the same exact number which is 2
A plant costs p dollars and a bush costs b dollars. Ana buys 2 plants and 4 bushes for $42. Paola buys 7 plants and 9 bushes for $107. Write down a pair of simultaneous equations and solve them to find out the value of p and the value of b.
Answers
Answer:
2p + 4b = 42
7p + 9b = 107
p = $5
b = $8
Step-by-step explanation:
p is cost of plant, b is cost of bush
2p + 4b = 42
7p + 9b = 107
First we'll solve the first equation for p in terms of b:
2p + 4b = 42
subtract 4b from both sides
2p = -4b + 42
divide both sides by 2
p = -2b + 21
Now substitute that value in for p in the second equation, and solve for a numerical value of b:
7(-2b + 21) + 9b = 107
-14b + 147 + 9b = 107
combine like terms:
-5b = -40
b = 8
Use this to go back and solve for p:
p = -2b + 21
p = -2(8) + 21
p = -16 + 21 = 5
---------------------------
check the math:
2p + 4b = 42
2(5) + 4(8) = 10 + 32 = 42
one month Laura rented 3 movies and 2 video games for a total of 22$. The next month she rented 5 movies and 6 video games for a total of $52. Find the rental cost for each movie and each video game.
Answers
Step-by-step explanation:
24$
Which expression is equivalent to - 5 over 3
Answers
There is 1 box of plain yogurt with 18 yogurt cups. There are 4 boxes of fruit yogurt each with c yogurt cups. Represent this situation with a picture or diagram.
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(The number or letter written inside is the number of cups)
If x + x = 9, then x =
Answers
Answer: x = 4.5
Step-by-step explanation: First, do x + x, since they are like terms. That equals 2x. The equation is now 2x = 9. Divide both sides by 2. x = 4.5.
x + x = 9
2x = 9
÷2 ÷2
---------------------
x = 4.5
x + x = 9
4.5 + 4.5 = 9
Find (4.0×105)÷(5.89×102) by using a calculator. Give your answer in scientific notation and round to two decimal places.
Answers
Answer: [tex]7\times 10^{-1}[/tex]
Step-by-step explanation:
Given
[tex](4.0\times 105)\div (5.89\times 102)[/tex]
First solve the brackets part in calculator, we obtain
[tex]\Rightarrow 420\div 600.78\\\\\Rightarrow \dfrac{420}{600.78}=0.69909\approx 0.70\\\\\Rightarrow 7\times 10^{-1}[/tex]
SOMEONE ONE PLEASE HELP
Answers
Answer:
ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
what is the value of the expression (-2 1/2 -7) -6 1/2
Answers
Answer:
-2
Step-by-step explanation:
If you need the work let me know but that should be correct! Good luck :)
I am stuck on this question.
Answers
Answer:
D. Yes; the graph passes the vertical line test.
Step-by-step explanation:
1. A and C are wrong since the number of x-values that a y-value have does not matter when it comes to functions.
2. When doing the vertical line test, it is done by drawing a vertical line (up to down) and then seeing if more than 1 point touches the line.
3. After drawing the vertical line you would see only 1 point touches the line which indicates that the graph passes the vertical line test.
4. Therefore, the answer is "D. Yes; the graph passes the vertical line test."
Help! I got 3,593 but that doesn’t make sense
Answers
Because the number increase by a percentage this is an exponential growth problem.
The equation for exponential growth is :
Total = start value x ( 1 + percent) ^ time
Using the information from the problem:
2011-2005 = 6 years.
Total = 23 x (1 + 0.72)^6
Total = 23x 1.72^6
Total = 595.52 = 596 total people
What is the solution to the system of equations ?
Y=2/3 x + 3
X= - 2
Answers
Answer:
x = -2, y = 5/3
Step-by-step explanation:
we have the value of x already (-2).
x=-2
Plug it into the first equation y = 2/3x+3
y = 2/3(-2)+3
y = -4/3+3
y = -4/3+9/3
y = 5/3
x = -2, y = 5/3
Determine the values of m and if the straight line y = mx + c passes through the point (3, 5) and has a gradient -4 .
Answers
Answer:
y = -4x + 17
Step-by-step explanation:
y = -4x + b
5 = -4(3) + b
5 = -12 + b
17 = b
2. What are the zeros of the function
f(x)=2x2 - 2x - 4?
Answers
Answer:
-1 or 2
Step-by-step explanation:
2x2-2x-4
x2-x-2
x2+x-2x-2
x(x+1)-2(x+1)
(x+1)(x-2)
x=-1 or 2
What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?
Answers
Answer:
-7/3 +\- 1/3i
Step-by-step explanation:
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Defined the explicit section for the sqeucrce in the table
Thank you
Answers
Answer:
B. Linear decreasing
Step-by-step explanation:
Answer:
Linear decreasing;
Straight line = linear
Slope downwards (from left to right) = decreasing function
15.
Which of the quadratic functions has the widest graph?
A. 0.3x2
B. -4x2
C. -4/5x2
D. 1/3x2
Answers
Answer:
A. 0.3x2
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
0.8
¯
3
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
0.8
¯
3
x
y
−
2
1.2
−
1
0.3
0
0
1
0.3
2
1.2
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
1
16
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
1
16
x
y
−
2
−
16
−
1
−
4
0
0
1
−
4
2
−
16
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
5
16
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
5
16
x
y
−
2
−
16
5
−
1
−
4
5
0
0
1
−
4
5
2
−
16
5
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3
If the equation y=-5x+12 is translated up five units, what would the new equation be?
Answers
Answer:
y=-5x+17
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
We would add '5' to the y-intercept (12) to make a translation up 5 units.
y = -5x + 12 + 5
y = -5x + 17
Hope this helps.
help mi plzz.........
Answers
We know that , tan(x+y)=(tanx + tany)/(1 - (tanx)(tany))
tan(2A+A)=(tan2A+tanA)/(1 - (tan2A)(tanA))— (1)
We know that , tan2x=2tanx/(1 - tan^2x)
So, by substituting tan2A in (1),we get,
=[2tanA/(1 - tan^2A) + tanA]/1- (2tanA/(1 - tan^2A))(tanA)]
=[2tanA+tanA - tan^3A]/[1 - tan^2A - 2tan^2A]
=[3tanA - tan^3A]/[1-3tan^2A]
Therefore, tan3A= [3tanA - tan^3A]/[1-3tan^2A]
please find Area of triangle
Answers
Answer:
60
Step-by-step explanation:
Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.
Belinda gets 1 3/4 h for lunch. She spends 1/3 of her lunch walking for exercise. How much time does Belinda spend walking ?
This unit is operations and fractions how would I solve this?
Answers
Answer:
7/12 h
Step-by-step explanation:
1/3 of 1 3/4 = 1/3 of 7/4 = 1/3 x 7/4 = 7/12 h
Please help me!! I really need it!
Answers
Answer:
X= 7.5 Y=75
Step-by-step explanation: