Answer:
7 1/2
7 5/12
4 14/15
6 5/6
Answer:
7 1/2
7 5/12
4 14/15
6 5/6
Step-by-step explanation:
How would I unrationalize this fraction?
I am trying to find the cotangent in simplest form
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[tex] \cot(teetha) = - 1[/tex]
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The cotangent in simplest form is -1.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
cos θ = √2 / 2
We know that from trigonometric ratio,
[tex]cos \theta = \frac{Adjacent}{Hypotenuse}[/tex] , [tex]cot \theta = \frac{Adjacent }{ Opposite }[/tex]
So, the adjacent side = √2 and the hypotenuse side = 2.
The other side of the right triangle can be found by Pythagoras theorem,
[tex]hypotenuse^{2}=adjacent^{2}+opposite^{2}[/tex]
⇒ [tex]2^{2}=(\sqrt{2} )^{2} +opposite^{2}[/tex]
⇒ [tex]opposite^{2} = 4-2[/tex]
⇒ [tex]opposite = \sqrt{2}[/tex]
Thus, [tex]cot \theta = \frac{\sqrt{2} }{\sqrt{2} }[/tex]
⇒ [tex]cot \theta = 1[/tex]
Since cot θ < 0, [tex]cot \theta = - 1[/tex]
Hence we can conclude that the cotangent in simplest form is -1.
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Taylor plans to borrow $4,500 from the bank to purchase a used vehicle. If he borrows the money at a rate of 4% interest for 2 years, what is the total amount he will have to pay back to the bank?
Answer:
$4867.2
Step-by-step explanation:
Hey can someone please help quickly thanks!
Answer:
360,000
Step-by-step explanation:
just multiply by 3
Answer:
3,120 second year 3,244.80 the third year.
Step-by-step explanation:
4% of 3,000 is 120
so 3,120 then 3,244.80 the third year after the 4% is compounded
For every 1 litre of water used to make a medicine, 199 ml of sucrose and 47 ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answer:
water : sucrose : saline = 1000 : 199 : 271
Step-by-step explanation:
Given Information:
water = 1 litreProcess:
convert everything to mL (same units)1 litre = 1000 mlwater = 1 litre = 1000 mlwater : sucrose : saline = 1000 : 199 : 271Write an algebraic rule to describe the relationship in the table.
Answer:
um idrk lol but I LIKE UR CUT G!!!!
B is the midpoint of AC, D is the midpoint of CE, and AE = 21.
Find BD. The diagram is not to scale.
Please help
Geometry
Answer:
Required Answer:-[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]
The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.
What is a triangle?A closed shape with both inner and exterior angles, a triangular is created by three lines. the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side.
The value of AE is given as 21.
From the diagram that is given, it is indicated that according to the midpoint theorem
BD║AE
Also, BD= 1/2 ×AE
BD = 21/2
BD = 10.5 cm.
Therefore, option D is the correct option.
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The question is incomplete, the complete question will be :
A. 42
B. 21
C. 11.5
D. 10.5
ASAP PLS!! BRAINLIEST GIVIN!!
Step-by-step explanation:
( 0,4 ) is the point in the graph
What is 31.68 - 19.55 =
Answer:
12.13
Step-by-step explanation:
Please tell me if I'm correct!
Answer:
12.13
Step-by-step explanation:
A horse farm is developing a new indoor arena in a rectangular buliding. They want the width of the building to be 3 wide feet and the length to be 4y+8 feet. Write an expression in the simplist form to represent the are a of the building in terms of y.
Answer:
The area of the building in terms of y in its simplest form is 12(y + 2)
Step-by-step explanation:
Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8 feet. So, L = 4y + 8 feet.
So, the area of the building in terms of y is A = LW
= (4y + 8) × 3
Factorizing out 4 from the expression, we have
= 4(y + 2) × 3
= 12(y + 2)
So, the area of the building in terms of y in its simplest form is 12(y + 2)
How many times smaller is a group of 4 coins than a group of 16 coins?
Answer:
4 times.
Step-by-step explanation:
16/4 = 4.
Hope this helped!
3w - 17 = 4?
Pls help me
[tex]\text {Hey! Let's Solve this Equation!}[/tex]
[tex]\text {\underline {The First Step is to Add 17}}[/tex]
[tex]\text {3w-17+17=4+17}[/tex]
[tex]\text {3w=21}[/tex]
[tex]\text {\underline {The Final Step is to Divide 3}}[/tex]
[tex]\text {3w/3=21/3}[/tex]
[tex]\text {Your Answer Would Be:}[/tex]
[tex]\Huge\boxed {w=7}[/tex]
[tex]\text {Best of Luck!}[/tex]
Answer:
[tex]\boxed{\sf{w=7}}[/tex]
Step-by-step explanation:
To find the value of w, isolate it on one side of the equation.
3w-17=4Add by 17 from both sides.
3w-17+17=4+17
Solve.
Add the numbers goes from left to right.
4+17=21
3w=21
Divide by 3 from both sides.
3w/3=21/3
Solve.
Divide the numbers from left to right.
21/3=7
w=7
Therefore, the solution is w=7.I hope this helps! Let me know if you have any questions.
whats 9-7 1/4 ASAP PLEASE
Answer:
The answer is 1 3/4
Answer:
1 3/4
Step-by-step explanation:
7 1/4 + 1 3/4 = 9
Please choose my answer as the most helpful if it is. I want brainliest. :)
How do I solve this equation?
Answer:
X = 4 X = -6
Step-by-step explanation:
X + 1 = 5 X + 1 = -5
X = 5 - 1 X = -5 -1
X = 4 X = -6
Answer:
Step-by-step explanation:
What absolute values of x will fit.
l4+1l=5
l -6+1l=5
At the beginning of the season, Jamie pays full price for a ticket to see the Panthers, her favorite baseball team. the panthers currently have 33 wins and 31 losses. A. Represent the total change in the cost of a ticket given their losses B.What is the cost of a ticket for the nest game they play. (A or B question)
Answer: a. -$12.71
b. $36.93
Step-by-step explanation:
Given data:
No of loss = 31
No of wins = 33
•Had to complete the question first,
Given that the price of the ticket at the beginning of the season = $49.64
the ticket price decrease = $0.41 for every loss
Solution:
a) The cost of the ticket decreases by $0.41 for every game loss.
Change in cost = -$0.41 × number of losses
= -$0.41 × 31
= -$12.71
b) The cost of a ticket for the next game given they have 31 losses is:
Cost of ticket = Initial cost of ticket + change in cost
= $49.64 - $12.71
= $36.93
simplify 5/4+4(3/4−1/2)^2
Step-by-step explanation:
5/4+(12/4_1/2)^2
5/4+((12_8)/4)^2
5/4+1
9/4
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{3}{4}[/tex] - [tex]\frac{1}{2}[/tex] )²
= [tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{1}{4}[/tex] )²
= [tex]\frac{5}{4}[/tex] + 4 × [tex]\frac{1}{16}[/tex]
= [tex]\frac{5}{4}[/tex] + [tex]\frac{1}{4}[/tex]
= [tex]\frac{6}{4}[/tex]
= [tex]\frac{3}{2}[/tex]
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Question 3 of 20 -
E
ZahraouiAziz Midterm Geometry Pt 1 2020-2021 Question: 134
A line segment has an endpoint at (4.6). If the midpoint of the line segment is (1,5), what are the.coordinates of the point at the other endorine ne segment?
O (3, 1)
O (-2,4)
O (7.7)
O (5, 11)
Chrome OS. 28m)
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O
Fo
Answer: most likely be (7,7) not sure right or wrong but i tried so yeah
Step-by-step explanation:
Which of the following can be used to find the measure of angles
Hi, anyone able to help with qn 7? Thanks :)!
Answer:
Step-by-step explanation:
I used the quadratic formula to find the roots of [tex]x^{2} + x -1[/tex]
[tex]a=\frac{-1-\sqrt{5}}{2} b=\frac{-1+\sqrt{5} }{2}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} )^{2} * \frac{-1+\sqrt{5}}{2}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{-1+\sqrt{5}}{2}*(\frac{-1-\sqrt{5}}{2} )[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{-1+\sqrt{5}-\sqrt{5} -4}{4}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{ -4}{4}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * -1[/tex]
[tex]\frac{-1-1\sqrt{5} }{2\sqrt{3} }*-1[/tex]
[tex]\frac{-1-1\sqrt{5} }{2\sqrt{3} } = \frac{\sqrt{5}+1 }{2\sqrt{3} }[/tex]
At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the
investment changed by a loss of $17.40.
What was the value, in dollars, of the investment at the end of the month?
Answer:
$36.52
you're welcome :)
Which is the graph of x - y = 1?
Find a solution to the system. Make sure to write as a coordinate.
Answer:
x=2, y=3
Step-by-step explanation:
This is a system of equations.
To solve a system of equations, we use the substitution method.
We can plug in the first equation, [tex]x=2y-4[/tex], into the value for x in the second equation. Now, the second equation looks like this:
[tex]2*(2y-4)+y=7[/tex]
We simplify and solve for y:
→ [tex]4y-8+y=7[/tex]
→ [tex]5y=15[/tex]
→ [tex]y=3[/tex]
Now, we plug in the value for y, which is 3, into either equation. I will just use the first equation:
→ [tex]x=2*3-4[/tex]
→ [tex]x = 2[/tex]
Let me know if my explanation is unclear.
One plant container holds 14 seedlings, you have 1,113 seedlings. how many plant containers will hold all the seedlings.
ANSWERS:
A. 79 containers, do not use the remainder
B.80 containers no remainder
C. 85 containers, use the remainder to make 1 more container= 86 total containers (Asking For Little Brother)
Answer: the answer wwas c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
almost due. would appreciate help please :)!!
the distance between two towns is 300 km two cars start simultaneously from this towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 kilometre find the speed of the cars
Answer: I think its 131.19, but not too sure.
Step-by-step explanation:
To find the speed, you would do distance/time, so I added 300 and 7. I got 307, then I divided 307 (distance) from 2.34 (time). I got 131.19
Do you want the speed of both cars? then the answer would be:
(300)- first car= 128.20
(307)- second car= 131.19 (if you need to round this answer, it would be 131.2)
Which is the graph of f(x) = 2(3)x
How do I Find x, y and z
Answer: to solve the 3 unknown variables X, Y and Z in a set of 3 equations. Each equation has containing the unknown variables X, Y and Z. This 3 equations 3 unknown variables solver computes the output value of the variables X and Y with respect to the input values of X, Y and Z coefficients. In mathematic calculations, there are many situation arises where the usage of equation containing 3 unknown variables need to be solved prior to go further with the calculations. Therefore when it comes to online calculation, this Find the value of X, Y and Z calculator is an essential tool to assist you to find out the variable values given in the equation.
Step-by-step explanation: X = 2
Y = -1
Z = 1
Simplify the expression.
(42 − 2)2
Answer:
80
Step-by-step explanation:
What effect can be observed because of the gravitational pull between Earth and the moon.
HURRY THIS IS DUE IN 11 MINUTES! I NEED ANSWERS ASAP!!!!!
Answer:
The moon's gravitational pull on the Earth is the main cause of the rise and fall of ocean tides.
Step-by-step explanation:
The moon's gravitational pull causes two bulges of water on the Earth's oceans—one where ocean waters face the moon and the pull is strongest and one where ocean waters face away from the moon and the pull is weakest.
Hope it helped!!
Explain what is happening at this step in the solving equation process.
1. 10 − 6 x = 4 + 5 x
2. 7-6x=1+5x
Answer:
1. After solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]
2. After solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]
Step-by-step explanation:
We need to Solve the equations.
1. [tex]10 - 6 x = 4 + 5 x[/tex]
Step 1: Subtract 5x on both sides
[tex]10 - 6 x-5x = 4 + 5 x-5x\\10-11x=4[/tex]
Step 2: Subtract 10 on both sides
[tex]10-11x-10=4-10\\-11x=-6[/tex]
Step 3: Divide both sides by -11
[tex]\frac{-11x}{-11}=\frac{-6}{-11}\\x=\frac{6}{11}[/tex]
So, after solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]
2. [tex]7-6x=1+5x[/tex]
Step 1: Subtract 5x on both sides
[tex]7 - 6 x-5x = 1 + 5 x-5x\\7-11x=1[/tex]
Step 2: Subtract 7 on both sides
[tex]7-11x-7=1-7\\-11x=-6[/tex]
Step 3: Divide both sides by -11
[tex]\frac{-11x}{-11}=\frac{-6}{-11}\\x=\frac{6}{11}[/tex]
So, after solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]
please help me this question
Answer:
(b) or (d)
Step-by-step explanation:
stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24
This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer: Choice (b) 4y^2 - y - 24; top right corner
===========================================================
Work Shown:
T = total number of students in the class
T = 4y^2 + y - 8
F = number of students who play football
F = 2y+16
B = number of students who play basketball
B = unknown for now
Since a student either plays football or basketball, but not both, this means
T = F+B
which rearranges to
B = T-F
Plug in the given expressions and simplify
B = T-F
B = (4y^2+y-8) - (2y+16)
B = 4y^2+y-8 - 2y - 16
B = 4y^2 + (y-2y) + (-8-16)
B = 4y^2 - y - 24