If sec(A) = 4/3, then the value cot(A) is [tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]
The given trigonometric identity is:
[tex]sec(A)=\frac{4}{3}[/tex].........................(*)
Note that:
[tex]sec(A)=\frac{Hypotenuse}{Adjacent}[/tex].........................(**)
Comparing (*) and (**)
Hypotenuse = 4
Adjacent = 3
Find the opposite using the Pythagoras theorem
Hypotenuse² = Opposite² + Adjacent²
4² = Opposite² + 3²
Opposite² = 4² - 3²
Opposite² = 16 - 9
Opposite² = 7
Opposite = √7
cot(A) = Adjacent/Opposite
cot(A) = 3/√7
Rationalize the expression
[tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]
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Answer
1A=B 1B=tan 2=B 3=A
Step-by-step explanation:
What is the slope of this graph?
0.3
-3
los
1
3
3
1
2 3 4 5
Answer:
A
Step-by-step explanation:
Use the formula rise/run. The rise, in this case, was 3 and the run was 1. There for it would be 3/1 which is simplified to 3.
35 is more than the product of 5 and the difference of a number and 1.
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I am doing fine thanks bro.
on a map where each unit represent one kilometer, two marainas are located at p(4,2) and Q(8,12). if a boat travels in a straight line from one marina to the other, how far does the boat travel?
Answer: 5 kilometers.
Step-by-step explanation:
Rita’s earnings are based on how many hours she works. Rita worked 22 hours and earned $379.50. What would Rita earn for working 52 hours?
Rita will earn $897 for working 52 hours.
Word problems in mathematics are mathematical operations that are applied to solve real life cases.
From the information given:
Rita's earnings are dependent on the hours she worksIf Rita worked for 22 hours, she earns $379.50
Now, if Rita worked for 52 hours, the amount Rita will earn can be expressed by using the relation:
[tex]\mathbf{= \dfrac{52 \ hours \times \$379.50}{22 \ hours} }[/tex]
= $897
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I need help I have a test...!
Find the value of x in the figure:
Answer:
In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144°
Step-by-step explanation:
help please.
with the steps
on image.
Answer:
T(n) = 3n² - 4-189 doesn't belongStep-by-step explanation:
Given sequence:
-1, 8, 23, 44, 71The first differences:
9, 15, 21, 27The second differences:
6, 6, 6If the sequence is T(n) = an² + bn + c, we have:
2a = 6 ⇒ a = 3Using the first and second differences work out the value of zero term:
9 - 6 = 3-1 - 3 = -4This gives us c = - 4
Now we have:
T(n) = 3n² + bn - 4The first term is T(1) = -1, substitute n = 1 and find the value of b:
3(1²) + b*1 - 4 = - 13 + b - 4 = - 1b = 0The nth term is:
T(n) = 3n² - 4Now lets find if -189 belongs to this sequence:
- 189 = 3n² - 43n² = - 185The left side is positive and the right side is negative so the answer is also negative
50 POINTS PLEASE HELPP
For which of the following inequalities, is 4
part of the solution set? Select all that
apply.
I A. x > -5
I B. 2 > x
C. 3x + 4 >-8
O D. 5x < 2x - 3
E. -6 < 4 - 2x
Answer:
a
Step-by-step explanation:
Answer:
A, C, and E
Step-by-step explanation:
Replace the x with 4 and do the math
Can anyone help me with this asap thanks
Answer:
use the formula y=mx+c
Step-by-step explanation:
m is the gradient
c is the y axis intercept
simplify this expression
Option B
If any doubt leave a comment
i need help pleassseee!!?
Step-by-step explanation:
Set up a proportion:
26.5/x = 17/58
Cross multiply and you get:
17x = 1537
x = 90.4
So the measure of PQ is 90.4
Answer:
90.41
Step-by-step explanation:
you need to apple the thales's theorem
which is the comparison like this
ML=PQ JM= QN
Then you multiply in a crossed way like this
26.5 times 58= 1537
then you need to divide it by 17
1537/17= 90.41
Given the function g(x) = –11 + 12x + x over 3, evaluate g(4).
g(−3)=2
g(0) = 3g(0)=3
Step-by-step explanation:
Given
The attached graph
Required
Determine
g(-3)g(−3)
g(x) = 3g(x)=3
Since a graph has been provided, the question will be solved graphically;
Solving g(-3)
This implies that;
x = -3
And the interpretation is to solve for the y value when x = -3
From the attached graph;
When x = -3; y = 2
Hence;
g(-3) = 2g(−3)=2
Solving g(x) = 3
This implies that;
y = 3
And the interpretation is to solve for the x value when y = 3
From the attached graph;
When y = 3; x = 0
What is the equation of the line that passes through the point (5, 6) and has a slope
of 2
Answer:
y = 2x - 4
Step-by-step explanation:
Given:
x1 = 5
y1 = 6
slope (m) = 2
Solution:
y - y1 = m ( x - x1 )
y - 6 = 2 ( x - 5 )
y - 6 = 2x - 10
y = 2x - 10 + 6
y = 2x - 4
Simplify this question
[tex]\\ \sf\longmapsto √64+√-81-i^2[/tex]
[tex]\\ \sf\longmapsto 8+√81i-(-1)[/tex]
[tex]\\ \sf\longmapsto 8+9i+1[/tex]
[tex]\\ \sf\longmapsto 9i+9[/tex]
What is 7x(-4) ? Please
[tex]\mathfrak{7x(-4)} [/tex]
[tex]\mathfrak{=7x*-4} [/tex]
[tex]\boxed{\mathfrak{=-28x}} [/tex]
[tex]\mathbb{MIREU} [/tex]
During a store's opening month, they sold 925 DVD's and 507 Blu-ray discs. Each month thereafter, the number of DVD's sold per month decreased by 12 while the number of Blu-ray discs sold per month increased by 26. Let d represent the number of discs sold and t represent the time in months.Write a system of equations
The system of equations representing the number of Blue-ray discs and DVD's after t months are:
507 + 26t
925 - 12t
Each month, the number of DVD's sold decreases by 12, this can be modelled as:
number of DVD in opening month - (monthly decrease x number of months)
Number of DVD's in t months = 925 - 12t
Each month, the number of Blue-ray discs sold increases by 26, this can be modelled as:
number of blue-ray discs in opening month + (monthly increase x number of months)
Number of Blue-ray discs in t months = 507 + 26t
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What is the slope of the line passing through(-7, 8) (-8, 8) is?
Answer:
Step-by-step explanation:
(-7, 8) (-8, 8)
(y2 - y1) / (x2 - x1)
(8 - 8) / (-8 + 7)
0 / -1
the slope is 0
you could also see this because the y value doesn't change
if the y value doesn't change the slope is 0, if the x value doesn't change the slope is undefined
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 7, 8 ) and (x₂, y₂ ) = (- 8, 8 )
m = [tex]\frac{8-8}{-8-(-7)}[/tex] = [tex]\frac{0}{-8+7}[/tex] = [tex]\frac{0}{-1}[/tex] = 0
Blake gives piano lessons in the evenings. He earns $20 for each piano lesson and has between 0 and 6 lessons each evening. The amount he earns in an evening depends on the number of lessons he gives. What is the range of this relation?.
The range of the relation will be expressed as 0 ≤ g(x) ≤ 120
Let the number of lessons he gives be xIf he earns $20 for each piano lesson, the amount he will earn on x lessons will be $20xWriting this as a function will give:
g(x) = 20xwhere g(x) is the range of the relation.
If he has between 0 and 6 lessons each evening, the corresponding range at x = 0 and x = 6 is given as;
g(0) = 20(0) = 0g(6) = 20(6) = 120Therefore the range of the relation will be expressed as 0 ≤ g(x) ≤ 120
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Answer: {0, 20, 40, 60, 80, 100, 120}
Step-by-step explanation: Remember we only use inequality signs for continuous relations with an infinite amount of values or data points or values or points. When we're given a set finite amount of data points we use brackets for this data because it is a discrete relation.
And for this problem we're looking for the range of the relation and recall the range is the dependent values or variables that depend on the domain or independent variables. The amount of money he earns depends on the amount of hours he works. Hence, the range is {0, 20, 40, 60, 80, 100, 120} the amount of possible money he can earn.
HELP ME ON MY GEOMETRY PLEASEEEEE
Answer:
A
Step-by-step explanation:
A tram moved downward 9 meters per second for 54 seconds. What was the total change in the tram's elevation?
Answer:
6
Step-by-step explanation:
Answer:
-486
Step-by-step explanation:
Expand and simplify
3(4a - 5b) + 2(2a - 3b)
Answer:
a = 5/2
b = 1
I hope it correct
Step-by-step explanation:
Thank you
Answer:
answer is 5ab
Step-by-step explanation:
3(4a-5b)+2(2a-3b)
3(ab)+2(ab)
3ab +2ab
5ab
Last year, 1,920 athletes finished the Cedarburg Marathon. This year, the number of runners
crossing the finish line was 15% lower. How many athletes finished the race this year?
Answer:
1,632
Step-by-step explanation:
the 15% of 1,920 is 288 subtract it to 1,920 so you'll get 1,362 is the number of athletes finished the race this year
In the xy-plane, line k passes through the points (0, -4) and (1,-1). Which equation defines
line ?
Answer:
y=3x-4
Step-by-step explanation:
Find the angle measure
<ABD and <EBC are equal to each other. In order to solve for the x value, set the equations equal to each other;
4x = 2x + 40,
x = 20
Based off what angle you are trying to find, you would plug x = 20 into the equation.
A manufacturer is cutting plastic sheets to make rectangles that are 11.125 in. By 7.625 in. Each rectangles length and width must be within 0.005 in. Of the desire size . Write and solve inequalities to find the acceptable range for the length / and the width w
The inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.
length = 11.125 in
width = 7.625 in
Range of value must be less than orequal to 0.005 in
let
l = Length
w = width
Length inequality:
l - 11.125 ≤ 0.005
write as a compound inequality
- 0.005 ≤ l - 11.125 ≤ 0.005
Width inequality:
w - 7.625 ≤ 0.005
write as a compound inequality
- 0.005 ≤ w - 7.625 ≤ 0.005
Therefore, the inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.
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Which system of equations is graphed on the coordinate plane below?
Answer: 12,2
Step-by-step explanation:
Answer:
so the answer is TRUE
Step-by-step explanation:
I'm not sure how to explain but ik it it
Please help me Find the slope and please help me no links or bots please and thank you please actually help
Answer: slope for that is 1/2
Step-by-step explanation: rise over run y2-y1 x2-x1
complete the sentence to explain how to multiply 4.56x1000
Layla is making a fruit salad for 5 friend. Each person gets 2/5 of a cup of strawberries. How many cups of strawberries does Layla need?
The market is selling a box of strawberries containing 2 cups
How many boxes does Layla need? Answer in decimal form
She needs 1 box of strawberries
She needs 2 cups of strawberries total
Can someone please take the time out of day to help me with this
Answer:
a. 54, b. 117, c. 63
Step-by-step explanation:
a. Angle 11 is corresponding to angle 1, which is linear to angle 2, which is 126 degrees. So angle 11 is 180 - 126 = 54 degrees
b. Angle 8 corresponds to angle 14, which is 117 degrees.
c. Angle 7 is linear to angle 8, so it is 180 - 117 = 63 degrees
Answer:
a or <11 is 54 degrees, b or <8 is 117 degrees, c or <7 is 63 degrees
Step-by-step explanation:
A. <2 = <12, <12 + <11 = 180, 180 - 126 = 54
B. <14 = <8, 117 = 117
C. <7 + <8 = 180, 180 - 117 = 63