Answer:
help needed
Step-by-step explanation:
.
Review the steps of the proof of the identity
At which step was an error made?
step 1
step 2
step 3
step 4
The solutions to the trigonometric equation [tex]cos(\frac{\pi}{4} - x) = \frac{\sqrt{2} }{2} \cdot sin(x)[/tex] are;
{π/2, 3·π/2}
What is a trigonometric equation?A trigonometric equation is an equation involving trigonometric functions with the input of the function, represented by a variable. specified equation is presented as follows;
[tex]cos(\frac{\pi}{4} - x) = \frac{\sqrt{2} }{2} \cdot sin(x)[/tex]
The subtraction formula for the trigonometric ratios of cosine can be presented as follows;
cos(A - B) = cos(A)·cos(B) + sin(A)·sin(B)
Therefore;
cos(π/4 - x) = cos(π/4)·cos(x) + sin(π/4)·sin(x)
sin(π/4) = √2/2
Therefore;
cos(π/4 - x) = cos(π/4)·cos(x) + (√2/2)·sin(x)
cos(π/4 - x) = (√2/2)·sin(x)
cos(π/4)·cos(x) + (√2/2)·sin(x) = (√2/2)·sin(x)
cos(π/4)·cos(x) = (√2/2)·sin(x) - (√2/2)·sin(x) = 0
cos(π/4)·cos(x) = 0
cos(x) = 0/cos(π/4) = 0
x = arccos(0) = π/2 + n·π
Where n is an integer, therefore the values of the angle between 0, and 2·π are;
x = π/2 + π × 0 = π/2 and x = π/2 + 1 × π = 3·π/2
x = π/2 and x = 3·π/2
The solutions of [tex]cos(\frac{\pi}{4} - x) =\frac{\sqrt{2} }{2} \cdot sin(x)[/tex] are; {π/2, 3·π/2}Learn more on trigonometric identities here: https://brainly.com/question/29297432
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help me asap i really need help
Answer:
x = 72 degrees
Step-by-step explanation:
add the given angles: 77+31 = 108
subtract your answer from 180: 180 - 108 = 72
Answer:
72
Step-by-step explanation:
add 77+33=108
all triangles equal 180, so subtract 180-108=72
A store employs 11 women and 12 men.
What percentage of the employees are men?
Give your answer to 1 decimal place.
Total employees =11 + 12 = 23
Percentage of me = 12/23 = 0.5217 x 100 = 52.17% round the answer as needed
Answer:
The answer is 52.2%, Good Luck Everyone :)
Step-by-step explanation:
Solve for x: –5x+3=2x-1
Answer:
x=1.2
Step-by-step explanation: take -5x and devide it by 2x. then - 3 from -1. -3 devided by -2.5 then it equalls x=1.2
Tomatoes and cucumbers were planted in the garden in the ratio 4:1 there if there 14 cucumber plants how many tomato plants are there
Answer:
56
Step-by-step explanation:
14 cucumbers multiplied by 4 is 56 tomatoes
The number of tomato plants is 56.
Important information:
Ratio of tomatoes and cucumbers is 4:1.Number of cucumbers is 14.Ratio:Let [tex]x[/tex] be the number of tomato plants. Then,
[tex]\dfrac{x}{14}=\dfrac{4}{1}[/tex]
On cross multiplication, we get
[tex]x\times 1=4\times 14[/tex]
[tex]x=56[/tex]
Therefore, the number of tomato plants is 56.
Find out more about 'Ratio' here:
https://brainly.com/question/8500277
Perform the indicated operations
How much money would I make if I made $2 every 10 seconds for 2 hours and 49 minutes?
Answer:49
Step-by-step explanation:
49 min =10 second
2 hours =10x2=20
12x10=200 seconds
49 min x10=490
490 divide 10=49
49x2=49
The formula for converting degrees Fahrenheit (F) to
degrees Celsius (C) is C = 5/9 (f-32) find c for f =77
Answer:
25
Step-by-step explanation:
C= 5/9(77-32)
C=5/9(45)
C=25
A school club is serving lemonade at a meeting. Enough lemonade to fill 160 glasses is needed, and each glass holds 150 milliliters. How many liters of lemonade are needed?
Answer:
210 I did the math g
Step-by-step explanation:
it is you not that hard
Consider the hospital from problem 4 of the homework that is using a statistical test to decide whether or not to accept future shipments of syringes from a supplier. The two errors the can make are to reject shipments that are actually acceptable and to accept shipments that do not meet the requirements. The hospital has decided that the error of accepting shipments that do not meet the requirements is substantially more important. They would like to ensure that they do not make this error even if that means increasing the chance that they reject acceptable shipments. When selecting their alpha (choosing between 0.01, 0.05 and 0.10) which alpha level provides the highest protection against this type of error?
a) alpha-0.01
b) alpha-o.05
c) alpha-0.10
Answer:
The correct option is a
Step-by-step explanation:
Gnerally assuming that
The null hypothesis is that the syringes from a supplier does not meet the requirement
and
The alternative hypothesis is that the syringes from a supplier meets the requirement
Now in order not to commit type I error which is wrongfully rejecting the null hypothesis then the level of significance need to be lower than the p-value (this is obtained from the z-table for any given z-score ) hence the suitable level of significance to achieve the hospitals aim is alpha-0.01
Another way to write f(g(x)) is ____________.
Answer:
fog(X)
Step-by-step explanation:
it maybe help you to understand
Based on the graph, which inequality is correct for a number that is to the left of -4?
−8 > −4
−7 > −4
−6 < −4
−4 < −9
Option C is the correct answer
Answer:
C because the bigger the neg- the smaller the actual number is
Step-by-step explanation:
may somebody please help me
expressions that are equivalent to –24 1/2 + 16.15 – 4.
Answer: -12.35
Step-by-step explanation: Hope this helps!
Answer: Which expression is equivalent to −24 1/2+16.15−4?
B) 16.15-28.5 = -12.35
C) -28.5+16.15= -12.35
E) 12.15 - 24 1/4 = -12.35
Step-by-step explanation:
Evaluate
2
a
4
+
5
b
3
when
a
=
4
and
b
=
−
5
Answer:
-113
Step-by-step explanation:
2a^4+5b^3 --> 2(4)^4+5(-5)^3= -113
not 100% on this since its hard to understand the original equation (I'm assuming that the numbers after the variables are exponents)
22.8 when rounded to the nearest tenth
Answer:
23
Step-by-step explanation:
Someone please answer at least one of the questions i beg you
Answer:
12: 21
13: A: 16/x^12
B: 9/x^8
Step-by-step explanation:
Solve.
2a + 3b = 5
b=a5
a = 4
b = -1
a = 4
b=1
Answer:
5 = 5 True
1 = 20 False
Step-by-step explanation:
5/10 x 9/12 will give brainliest if correct
Answer:
0.375
Step-by-step explanation:
The answer is [tex]\frac{3}{8}[/tex]
First, you must find like-denominators.
[tex]\frac{30}{60} *\frac{45}{60}[/tex]
Then, multiply the terms across.
[tex]\frac{1350}{3600}[/tex]
Finally, simplify the fraction
[tex]\frac{3}{8}[/tex]
An equation is shown below.
2-3x = 8
Which of the following shows a model of the equation and the value of x that makes the equation true?
How would you solve it
Answer:
Step-by-step explanation:
Chandler is three more than 5 times as many years old as his sister Kayla
In 9 years he will be twice as old as she will be then, How old is Chandler
now?
A.2
B.11
C.13
D.15
E.22
Answer:
Chandler is C 13 years old
Step-by-step explanation:
5x2=10
10+3=13
Makeing the answer C
Now Chandler's age will be 22 now. Then the correct option is E.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Chandler is three more than 5 times as many years old as his sister Kayla. In 9 years he will be twice as old as she will be.
Then the equation will be
C = 3 + 5K ...1
C + 9 = 2(K + 9) ...2
From equations 1 and 2, we have
3 + 5K + 9 = 2(K + 9)
5K - 2K = 18 - 12
K = 2
The Chandler's age will be
C = 3 + 5K
C = 3 + 5 x 2
C = 13
Now Chandler's age will be 22 now. Then the correct option is E.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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3 2/5 * 1 1/2=
please help asap
Answer: 5.1
Step-by-step explanation:
In the state of New Mexico, 85% of the land is above 4,000 feet in elevation.
Which fraction is equivalent to 85%?
A 4
5
B
100
17
20
1
85
Answer: 17/20
==============================
Work Shown:
x% = x/100
85% = 85/100
85% = (17*5)/(20*5)
85% = 17/20
------------
You could also go through all the answer choices to see what works and what doesn't.
For instance, 4/5 = 0.80 = 80%, so that is a non-answer.
But 17/20 = 0.85 = 85% which is the answer.
Which radical expression is equivalent to c^1/2
Answer:
it would be √c
Step-by-step explanation:
when you have fractional exponets, the denominator becomes the radical that you want to find so in this case since its 2 it would be he nomal √ (remeber that when you have a √ with no numbers. it automatically indciates that there is a two) , the numerator of the fraction is the exponent of the number that is inside the radical so in reality it would be √c^1 but we don't write the exponent 1 so it would be √c
hipe this helps :)
A recipe that serves 6 uses 1 1/2 cups of flour. How many cups are needed to serve 15
Answer:
3 3/4 cups
Step-by-step explanation:
You can make a proportion and solve. 1 and 1/2 equals 1.5. Next make the proportion. Proportion= 1.5/6 to x/15. then multiply 1.5 times 15 and then divide by 6.
3x-165=7x=105
What is x?
Answer:
tutoring is available right now
Joan has 6 1/2 tons of pebbles. How many piles can she make if she wants 3/4 tons of pebbles in each pile?
At a pizza place, there are 13 pepperoni pizzas sold for every 7 cheese pizzas. What is the ratio of cheese pizzas to pepperoni pizzas?
Answer: 7:13
Step-by-step explanation:
There are 7 cheese pizzas sold for every 13 pepperoni pizzas sold
Answer:
7:13
Step-by-step explanation:
Please help me. Test tomorrow
Step-by-step explanation:
Hope I made them right cause I dont know what grade are you and dont know other lessons before this exercise!Hope I am right! :)
I put a picture in Please help
Answer:
3 to 1
by dividing