The value of the trigonometric identities are:
Sin Ф = 20/29
Cos Ф = 21/29
Tan Ф = 20/21
We have,
Sin x = Perpendicular / Hypotenuse
Cos x = Base / Hypotenuse
Tan x = Perpendicular / Base
So,
Sin Ф = 20/29
Cos Ф = 21/29
Tan Ф = 20/21
Thus,
Sin Ф = 20/29
Cos Ф = 21/29
Tan Ф = 20/21
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Select the correct answer.
If you roll a fair die twice, what is the probability of getting an even number at least once?
A.
0.75
B.
0.36
C.
0.5
D.
0.25
Answer:
A
Step-by-step explanation:
Got this right on edmentum
5 Henry wants to add these numbers. 53 +81 +44 + 72 Explain how he can find the sum by breaking the numbers into tens and ones. What is the sum?
Answer:
50+3+80+1+40+4+70+2
Step-by-step explanation:
Pls thank if correct
Dont get mad if not correct.
Hope this helps <3
help me plsssssssssssss
When you trim a video, the ________ of the timeline indicates the portion of the video that will play during the slide; the ________ portion indicates the portion that is trimmed.
When you trim a video, the start and end markers of the timeline indicate the portion of the video that will play during the slide; the trimmed portion indicates the portion that is removed or excluded from the final playback.
When editing a video, you may want to remove certain parts or shorten its duration. Trimming allows you to specify the exact portion of the video that will be included in the final version. The timeline represents the entire duration of the video, and the start and end markers on the timeline serve as reference points for indicating the selected segment. By adjusting the position of these markers, you can define the beginning and end points of the desired portion. The section of the timeline between the start and end markers represents the portion of the video that will play during the slide or be included in the final output. The remaining parts of the video outside of this selected segment are considered the trimmed portion, which will be excluded from the playback or final edited version of the video.
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Which one you think is the right one?
(No link pls)
Answer:
You are correct, it is B.
Step-by-step explanation:
In the following normal-form game, what strategies survive iterated elimination of strictly dominated strategies? What are the pure-strategy Nash equilibria?
L C R
T 2,0 1,1 4,2
M 3,4 1,2 2,3
B 1,3 0,2 3,0
L R
U 1,3 -2,0
M -2,0 1,3
D 0,1 0,1
The strategies that survive iterated elimination of strictly dominated strategies are: (M,L), (B,L,R), (B,R), (M,R), and (M). The pure-strategy Nash equilibria are: (M,L) and (B,R).
To find the strategies that survive iterated elimination of strictly dominated strategies, we start by looking for any dominated strategies.
In row player's strategy, T dominates B as 2 > 1 and 4 > 3. So, we can eliminate row player's strategy B.
In column player's strategy, R dominates L as 3 > 0 and 2 > 1. So, we can eliminate column player's strategy L.
Now, the reduced game is:
C R
T 1,1 4,2
M 1,2 2,3
In this reduced game, there are no more strictly dominated strategies, so no further elimination is possible.
To find the pure-strategy Nash equilibria, we look for any cells in the game where neither player has an incentive to switch strategies.
One such equilibrium is (T, R), where row player plays strategy T and column player plays strategy R, since neither player has an incentive to switch to a different strategy.
Another equilibrium is (M, C), where row player plays strategy M and column player plays strategy C, since neither player has an incentive to switch to a different strategy.
So, the strategies that survive iterated elimination of strictly dominated strategies are T and M, and the pure-strategy Nash equilibria are (T, R) and (M, C).
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HELPPPP PLEASEEEE dfuij bfsv
Answer:
7
Step-by-step explanation:
16+5+16+5+16+5
Answer: 6.875 If it aks you to round it is 7 gallons.
Step-by-step explanation:
Can anybody help me with this and show work ?? :)
Answer: C.
Step-by-step explanation:
If ABCD gets rotated 180ᴼ, you will be able to see the reflection of ABCD to A’B’C’D’. Then just reflect across the x-axis (horizontal) to transform ABCD onto A’B’C’D’.
You have just purchased a home and taken out a $300,000 mortgage. The mortgage has a 15-year term with monthly payments and an APR of 8.4%.
Calculate the monthly payment on the mortgage.
How much do you pay in interest and how much do you pay in principal in the first month?
Calculate the loan balance after 5 years (immediately after you make the 60th monthly payment).
Please do not answer with an excel sheet. I need to see it written down with the formulas. Thank you
Using the loan amount, loan term, and APR, we can determine the monthly payment. In this case, the monthly payment on the mortgage is approximately $2,796.68.
To calculate the interest and principal payments in the first month, we need to know the loan balance and the interest rate.
After 5 years, or 60 monthly payments, we can calculate the loan balance by determining the remaining principal amount after making the 60th payment.
To calculate the monthly payment on the mortgage, we can use the formula for calculating the monthly payment on a fixed-rate loan. The formula is given as:
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)
Where:
M = monthly payment
P = loan amount
r = monthly interest rate
n = total number of payments
In this case, the loan amount P is $300,000, the loan term is 15 years (180 months), and the APR is 8.4%. We first need to convert the APR to a monthly interest rate. The monthly interest rate is calculated by dividing the APR by 12 and dividing it by 100. So, the monthly interest rate is 8.4% / 12 / 100 = 0.007.
Substituting these values into the formula, we have:
M = 300,000 * (0.007 * (1 + 0.007)^180) / ((1 + 0.007)^180 - 1)
≈ $2,796.68
Therefore, the monthly payment on the mortgage is approximately $2,796.68.
In the first month, the loan balance is the original loan amount, which is $300,000. The interest payment is calculated by multiplying the loan balance by the monthly interest rate. So, the interest payment in the first month is $300,000 * 0.007 = $2,100.
The principal payment in the first month is the difference between the monthly payment and the interest payment. So, the principal payment in the first month is $2,796.68 - $2,100 = $696.68.
Since the principal payment is the same every month, the remaining loan balance after 60 payments is $300,000 - (60 * $696.68).
Calculating this, we have:
Loan balance after 5 years = $300,000 - (60 * $696.68)
≈ $261,618.80
Therefore, the loan balance after 5 years, immediately after making the 60th monthly payment, is approximately $261,618.80.
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1/3 · (-3x + 4y - 5z)
(1/3 Is A Fraction)
(Write Explanation)
The value of expression is -(x- 4y/3 + 5z/3)
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
Given:
1/3 · (-3x + 4y - 5z)
= 1/3(-3x) + 1/3 *4y + 1/3* (-5z)
= -x +4/3*y -5/3 *z
=-(x- 4y/3 + 5z/3)
Hence, 1/3 · (-3x + 4y - 5z)= -(x- 4y/3 + 5z/3)
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7. Define a variable and write an expression for the phrase.
8 minus a number
Someone help me I don’t understand
Answer:
Plot the -4 one point to the right of -5
Plot 7 two points to the right of 5
Plot 12 two points to the right of 10
Step-by-step explanation:
Have a nice day
5. Solve:
(6x - 9) + 7x = 5x - 13
Answer:
13X- 9 = 5X - 13
Step-by-step explanation:
Answer:
\((6x - 9) + 7 x = 5x - 13\)
\(6x - 9 + 7x = 5x - 13\)
\(6x + 7x - 5x = 9 - 13\)
\(8x = - 4\)
\(x = - \frac{ 4}{8} \)
\(x = - \frac{1}{2} \)
HELP
Drag each expression to show whether the product is less than 1, equal to 1, or greater 1.
^^^^^^^^^^^^^^^^^^^^^^^^^^
hope it's helpful ❤❤❤❤
THANK YOU.
Alejandro uses the steps below to convert StartFraction 5 over 8 EndFraction to a percent. Five-eighths right arrow 8.0 divided by 5 = 1.6. 1.6 = 160 percent. Which best explains Alejandro’s error? The division was computed incorrectly. The division was completed in the incorrect order. The decimal was moved to the right too many times. The decimal was moved to the right instead of the left.
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
how many gallons of gas can you get for $15.80
diane takes a rectangular peice of fabric and makes a diagonal cut from one corner to the opposite corner because she makes is 7 inches long and the width of the fabric is 5 inches was the fabrics length?
The length of the fabric is 3.44 inches.
What is Pythagoras theorem?
Pythagoras theorem states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Hypotenuse² = Perpendicular² + Base²
According to the given question:
Diane takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner.
The diagonal cut is 7 inches long and width of the cloth is 5 inches.
Note that the diagonal cut will divide the rectangle into two congruent right triangles.
The right triangle has the hypotenuse 5 inches and width 3 inches, so the length can be calculated using Pythagoras theorem as follows
Hypotenuse² = Perpendicular² + Base²
7² = L² + 5²
L² = 49 - 25
L² = 24
L = 2√3 inches ≈ 3.44 inches
The length of the fabric is 3.44 inches.
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2. Solve:
a. -32 + 17 =
b.86 + (-27) =
c. -12 + (-37) =
d. -1/6 + 5/6 =
Answer:
a. -32 + 17 = -15
b.86 + (-27) = 59
c. -12 + (-37) = -49
d. -1/6 + 5/6 = 2/3
How many 6-digit numbers can be formed such that the sum of all the digits is equal to 2?
Such a number must consist of four 0s and two 1s, with 1 as the leading digit. There 5 choices of places for the remaining 1, so there are only 5 such numbers.
110 000
101 000
100 100
100 010
100 001
Match each exponential expression with its expanded form.
Each exponential expression is matched with its expanded form as;
-2⁴. Option E
2³. Option C
(-2)⁴. Option A
2². 2³. Option B
What is a index form?A index form can be described as a mathematical method or way of writing numbers or values that re too small or too large in simpler and comprehensible forms.
Other forms for index forms are standard forms or scientific forms.
From the information given, we have that;
-2⁴
This is represented as;
-2 × 2 × 2 × 2
2³
The index form is written as;
2 × 2 × 2
(-2)⁴, written as
-2 ×-2 × -2 ×-2
Also, 2². 2³ is written in the form;
(2 × 2)× ( 2× 2 × 2)
Hence, index forms simplifies expressions
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Which expressions are equivalent to x^2+6x+8 ? Select all that apply.
Answer: 3(2x+4), 6(x+2), and 2(3x+6)
Step-by-step explanation: tell me if you dont understand :)
Noah receives a $5 discount each month on his cell phone bill because he signed up for a auto pay from his bank account. Over the last 8 months ,Noah has paid a total of $280 for his cell phone bill. What would Noah be charged for his cell phone bill each month if he stopped using auto-pay?
Answer:
Step-by-step explanation:
280÷8=35+5=$40
Please help me I'm stuck.
\(\cfrac{89.40~~ - ~~\stackrel{ \textit{minus the tax of each} }{0.50-0.50-0.50-0.50-0.50-0.50}}{6}\implies \cfrac{86.40}{6}\implies \stackrel{ each }{14.40}\)
Drew Swanson is an insurance appraiser who earns $48,650 a
year. He is married with no dependents. He pays $1,786 in state incom
taxes. What is the state income tax rate?
Answer:
3.671%
Step-by-step explanation:
\(\frac{1786}{48650}\) x 100 =3.671
Grogg, Lizzie, and Alex each own a white hat marked with the first letter of their name. Winnie owns a plain red hat, which is not marked with any letter.
How many ways can the four beasts wear these four hats so each beast is wearing a different hat, and no one is wearing a hat marked with the first letter of their name?
The number of ways for the four beasts to wear these hats so each beast is wearing a different hat, and no one is wearing a hat marked with the first letter of their name is given as follows:
8.
How to calculate the number of ways?Winnie is wearing a hat that does not have any letter, while the letters on the other helmets are G, L and A, meaning that Winnie can wear four helmets.
For Grogg, Lizzie, and Alex, they can't wear the helmet with their own letters.
Hence the possible combinations, considering only them, are listed as follows:
Grogg - Lizzie - AlexWhite L - White A - White G.White A - White G - White L.As Winnie can wear any of the four helmets, and Grogg/Lizzie/Alex can also wear the red helmet, the number of outcomes is given as follows:
4 x 2 = 8.
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Use an indirect proof to prove SSS Inequality Theorem (Theorem 5.14 ).
To prove the SSS Inequality Theorem using an indirect proof, we need to assume the opposite of what we are trying to prove and show that it leads to a contradiction.
The SSS Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Assume that there exists a triangle ABC where the sum of the lengths of two sides is not greater than the length of the third side. Without loss of generality, let's assume that AB + BC ≤ AC.
Now, consider constructing a triangle ABC where AB + BC = AC. This would mean that the triangle is degenerate, where points A, B, and C are collinear.
In a degenerate triangle, the sum of the lengths of any two sides is equal to the length of the third side. However, this contradicts the definition of a triangle, which states that a triangle must have three non-collinear points.
Therefore, our assumption that AB + BC ≤ AC leads to a contradiction. Hence, the SSS Inequality Theorem holds true, and for any triangle, the sum of the lengths of any two sides is greater than the length of the third side.
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Choose all the equations that are equivalent
to -3(x - 2) = 4x − 2(x - 1).
-
Enter the corresponding letters, in alphabetical
order, separated by commas (without spaces).
A. -5x = -4
B. -5x = 4
C. -5x = 8
D. 2x - 4 =-3x
E. -3x + 6 = 2x + 2
F. -3x - 6 = 2x - 2
Answer:
a,e
Step-by-step explanation:
Answer:
A, E
Step-by-step explanation:
lets first solve the equation using distributive property:
-3(x-2)=4x-2(x-1)
-3x+6=4x-2x+2
-3x+6=2x+2 (E)
Now move the like terms on one side:
-3x-2x=2-6
-5x=-4 (A)
what must be your average speed in order to travel 350 km in 5.15 h?
Answer:
68 km/h--------------
Average speed equation:
s = d/t, where d- total distance, t - total timeSubstitute 350 for d and 5.15 for t:
s = 350/5.15s = 67.96 ≈ 68 km/hThe average speed must be approximately 68 km per hour.
What percentage of a radioactive isotope remains after 3 half-lives?
Answer:
12.5%------------------------
After 3 half-lives the remaining amount becomes:
(1/2)³ = 1/8 of the initial amountConvert 1/8 to percent:
1/8 * 100% = 12.5%