Review the steps of the proof of the identity
At which step was an error made?
sin (A-3) - COSA.
= A.
step 1
step 2
3п
sin
step 3
step 4
Step 1: = sinAcos
3 п
2
-
COSAsin
n ()
Step 2: = (sinA)(0) + COSA( - 1)
Step 3: = (sinA)(0) + (1) (COSA)
Step 4: = 0 + COSA
Step 5: Cos A
Answers
Answer:
step 2
and then also in step 3 compensating the error in step 2
Step-by-step explanation:
I think I just answered this for another post.
sin(a - b) = sin(a)cos(b) - cos(a)sin(b)
so, step 1 is correct :
sin(A - 3pi/2) = sin(A)cos(3pi/2) - cos(A)sin(3pi/2)
but step 2 suddenly and incorrectly switched that central "-" to a "+".
yes, sin(3pi/2) = -1, but that is still an explicit factor in step 2. so it was not used to flip the central operation from subtraction to addition, and therefore this change was a mistake.
then, in step 3, another error was made by just ignoring the "-" sign of "-1" and still keeping the central "+" operation. this error compensated for the error in step 2 bringing us back by pure chance to the right result.
Related Questions
Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin's model?
Answers
Answer: 6.04 inches
Step-by-step explanation:
The actual height of the monument = 604 feet
The scale used by Corbins is 1 inch = 100 feet
The height of the Corbins model in inches= [tex]\frac{604}{100}[/tex] = 6.04 inches
the height of the Corbins model = 6.04 inches
I need help 20 points
Answers
Answer:
[tex]A = 9\pi[/tex]
Step-by-step explanation:
This is basically just 3/4 of a circle, so the area will be:
[tex]A = \frac{3}{4} \pi r^{2}[/tex]
Plug in 6 for the radius:
[tex]A = \frac{3}{4} \pi (6)^{2}[/tex]
Simplify:
[tex]A = \frac{3}{4} \pi (36)[/tex]
Simplify further:
[tex]A = 9\pi[/tex]
Answer: 84.825
Step-by-step explanation:
area of circle = pi r squared.
radius is 6. plug in numbers for area.
the whole circle is 113.1 x 3/4 is 84.825
i need helpp ..
I'm stuck here just to suffer
this is not my exam
just help mee
Answers
There are 60 cubic units in the provided three-dimensional figure, and the units are mm³, cm³, and m³.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have a three-dimensional shape shown in the picture with dimensions.
The total cubic units = 4×3×5 = 60 cubic cm
We can measure the volume with units of mm³, cm³, m³, km³
We can draw a relation between them:
mm³<cm³ <m³< km³
For the first picture, the unit mm³ would be best for measuring the volume.
For the second picture, the unit cm³ would be best for measuring the volume.
For the third picture, the unit m³ would be best for measuring the volume.
Thus, there are 60 cubic units in the provided three-dimensional figure, and the units are mm³, cm³, and m³.
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Answer the question below
Answers
Answer:
Step-by-step explanation:
The side length of the larger pentagon is 3, but the side length of the smaller pentagon is 2, so the scale factor is 2/3.After this. we want the points that stick the farthest out to map onto each other, so they need to have the same y coordinate. So, translate down 2 units.Finally, reflect over the y axis.This shows the pentagons are congruent.What is the surface area of the model, including the bottom face?
Answers
Answer:
D. 483.84 ft^2.
Step-by-step explanation:
we have 2 triangles and 7 rectangles, 5 of which are 8.4*8.4 squares.
Area = 2 * 1/2 * 4 * 8.4 + 2*5.8*8.4 + 5 * 8.4^2
= 33.6 + 97.44 + 352.8
= 483.84 ft^2.
Find the area of a polygon
Answers
Answer:
32.71cm² is the area
Find x and find angle b
Answers
60 + 15x + 5 + 22x + 4 = 180
69° + 37x = 180
37x = 180° - 69°
37x = 111°
x = 111/37
x = 3
B = 22x + 4
B = 22(3) + 4
B = 66 + 4
B = 70
Help me pls which one
Answers
Answer:
C . 0.1
Step-by-step explanation:
There are nine lines between 0 and 1
The one the red dot is one is 0.1
6) Which of the following equations is of a parabola with a vertex at (3, 0)?
a) y = x2 + 3
b) y = x2-3
c) y = ( x + 3) 2
d) y = ( x - 3)2
Answers
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
We need a parabola with a vertex at (0,-3)
If we select the equation:
[tex]y=x^2-3[/tex]
When we put x = 0, we get
[tex]y=0-3[/tex]
[tex]y=-3[/tex]
And similarly, when we put y = -3, we get
[tex]-3=x^2-3[/tex]
[tex]0=x^2[/tex]
[tex]x=0[/tex]
Hence, second option is correct.
83 + (25) : 5 > 32 + 42
Answers
Step-by-step explanation:
83 +(25)/5 >32 + 42
Simplify 83 + (25)/5= 108/5
Simplify 32 + 42: 74
108/5>74
Therefore the solution is false
the product of nine and a number decreased by six
Answers
Answer:
9* (x-6)
9x-54
9x=54
x=54/9
x=6
Step-by-step explanation:
When calculating interest accrued, you use the
O A. APR
O B. APY
O C. debt ratio
O D. going rate
Answers
multiply the principal by the APR and the
number of months in the year, then divide by the
number of months earning interest. multiply the
principal by the APR and number of months,
then divide by the total number of months in the
year. multiply the principal by the APR and
number of months.
caleb is choosing a bank from the two banks below in an average month he writes 12 checks use his debit card 10 times and uses the atm six times how much caleb send on his monthly bank fees at state bank six times
Answers
Based on the number of times that Caleb writes checks, uses his debit card, and uses the ATM, his monthly bank fees are $11 and $15.70 at NeoBank and Arbor Bank respectively.
What are Caleb's bank fees?The question is incomplete so I will use a similar question to answer it.
Caleb's fees at Neobank would be:
= (12 checks x 0 per check) + (10 debt card uses x 0 per use) + (6 ATM uses x 1 per use) + 5 Monthly fee
= 0 + 0 + 6 + 5
= $11
Caleb's fees at Arbor Bank:
= (12 checks x 0.10 per check) + (10 debt card uses x 0.25 per use) + (6 ATM uses x 2 per use) + 0 Monthly fee
= $15.70
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Todd orders pictures from a photographer. Each picture costs $7.50. A one-time shipping fee of $3.25 is added to the cost of the order. The total cost of Todd's order before tax is $85.75. How many pictures did Todd order? Solve this problem using two different methods or strategies. Label your strategies.
Answers
Equation in slope intercept form
y=mx+by=7.5x+3.25So
Total paintings is x
85.75=7.5x+3.257.5x=82.5x=11 paintingsAnswer:
11 pictures
Step-by-step explanation:
Method 1Create an algebraic equation from the given information, defining the unknown quantity as a variable, then solve for the variable.
Given:
Cost of one picture = $7.50Shipping fee (one time) = $3.25Total cost of order = $85.75Let x = number of pictures ordered
⇒ Cost of one picture × number of pictures ordered + shipping fee = total
⇒ 7.5x + 3.25 = 85.75
⇒ 7.5x + 3.25 - 3.25 = 85.75 - 3.25
⇒ 7.5x = 82.50
⇒ 7.5x ÷ 7.5 = 82.50 ÷ 7.5
⇒ x = 11
Therefore, Todd ordered 11 pictures.
Method 2Logic and trial and error.
Given:
Cost of one picture = $7.50Shipping fee (one time) = $3.25Total cost of order = $85.75If the shipping fee is a one time cost, then if we subtract this from the total cost of the order, we know how much Todd spent on the pictures alone:
⇒ $85.75 - $3.25 = $82.50
We have been told that each picture costs $7.50.
Therefore, 10 pictures costs $75.00 (when multiplying by 10, we simply move the decimal point one place to the right).
$75.00 is less than $82.50. So what happens if we add another $7.50 to $75.00?
⇒ $75.00 + $7.50 = $82.50
Therefore, Todd ordered 10 + 1 = 11 pictures.
In a soccer league with four teams, each team played four games with every other team. Each team received 3 points for a win, 1 point for a tie, and no points for a loss. After all the games, the point tallies were as follows: Team A won 22 points, team B won 19 points, team C won 14 points, and team D won 12 points. How many games ended in a tie?
Answers
The number of game that ended in a tie are= 67
Calculation of total number of tiesThe number of points that makes up a win = 3
The number of points that makes up a tie = 1
The number of points that makes a loss = 0
Team A = 22 points
Team B = 19 points
Team C = 14 points
Team D = 12 points
The total of points gotten by the whole team is = the games that ended in a tie.
That is , 22+19+14+12 = 67
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Solve the equation.
6x+7=8x-15
Answers
The answer to the question is 11
Answer:x=11
Step-by-step explanation:
Help me on this please!
Answers
Answer:
B-a population growth of 3% each year
Step-by-step explanation:
The 1.03 would mean that the exponential function is increasing by 3% every year because it is 0.03 units above 1.
2) A box contains 9 red and 2 blue marbles and 3 yellow marbles. If you select oneat
random from the box, determine:
a) The probability the marble is red.
b) The odds in favor of selecting a red marble.
c) The probability the marble is blue.
d) The odds against selectinp a hlue marble
Answers
Answer:
red is more in value unlike the rest
If 3x^2+3y^2 = 42 and xy = -15, find the value of (x-y)^2
Answers
Answer:
3x² + 3y² = 42
3 ( x² + y² ) = 42
x² + y² = 14
xy = -15 ( given )
(x-y)² = x² + y² - xy
14 - ( -15 )
14 + 15
29
Which of the following examines relationships and patterns?
descriptive survey
predictive survey
exploratory survey
explanatory survey
Answers
name four fractions whose values are between 1/4 and 3/4
Answers
Answer:
ok don't panic it's organic
Answer:
[tex]\frac{1}{3} , \frac{1}{2} , \frac{3}{8} , \frac{5}{8}[/tex]
Step-by-step explanation:
What is the measure of y
Answers
Just add the angles up.
PLEASE HELP!!!!!!!!!!!!!!
Answers
EFG = 98°
98 x 2 = 196
Minor arc EG = 196°
Hopefully this helps :)
can someone help me with this question? Thank you!
Answers
Answer:
i hope this can help you!
will give brainliest look at pitcure
Answers
Answer:
x = 90°
Step-by-step explanation:
From the meaning of figure
30² + 2x° + (2x - 30)° = 360°
4x° = 360°
x = 90°
HOPE THIS HELPS AND HAVE A NICE DAY <3
What does 3/4 + 3/4 + 3/4 + 3/4 =
Answers
Answer:
3
Step-by-step explanation:
3/4 = 0.75
0.75 x 4 = 3
0.75 + 0.75 + 0.75 + 0.75 = 3
Step-by-step explanation:
[tex] = \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} \\ [/tex]
[tex] = \frac{3 + 3 + 3 + 3}{4} \\ [/tex]
[tex] = \frac{12}{4} \\ [/tex]
change into lowest term
[tex] = \frac{6}{2} \\ [/tex]
[tex] = \frac{3}{1} \\ [/tex]
hope it helped !!!
A box contains six black balls and four white balls.
What is the probability of selecting a black ball at
random from the box?
(15 points!!!)
Thank you! :)
Answers
For probability questions, it is just the sum of the object you need to find, over the total sum of all objects.
Hope this helps!
Trains Two trains, Train A and Train B, weigh a total of 355 tons. Train A is heavier than Train B.
The difference of their weights is 183 tons. What is the weight of each train?
Answers
Answer:
A = 269 T B = 86 T
Step-by-step explanation:
A-B = 183 or A = 183 +B
A+B = 355 SUB IN THE VALUE ABOVE FOR A
183 + B + B = 355
183 + 2B = 355
B= 86 THEN A = 183 +B = 269
Find the total value of the investment after the time given. $480 at 9% compounded monthly for 7 years
Answers
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$480\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A=480\left(1+\frac{0.09}{12}\right)^{12\cdot 7}\implies A=480(1.0075)^{84}\implies A\approx 899.14[/tex]
For what value of k will k + 11, 2k – 1 and 2k + 7 are the consecutive terms of an A.P.?
1st answer will be marked brainliest and no glibberish answers
Answers
[tex]\text{For arithmetic series, the common difference will be same. }\\\\~~~~~~(2k-1)-(k+11) = (2k+7)-(2k-1)\\\\\implies 2k-1-k-11 = 2k+7-2k+1\\\\\implies k-12=8\\\\\implies k=8+12\\\\\implies k=20[/tex]
