If sin?(Łº) + cos²(42) = 1, then what does L equal?

Answers

Answer 1

Answer:

Ł=42°

Step-by-step explanation:

We have the equation:

[tex]\sin^2(\L) +\cos^2(42)=1[/tex]

Remember from the Pythagorean Identity that:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

So, the angles within our trig functions must be exactly the same.

Therefore, since the angle within cosine is 42°, this means that our angle within sine, Ł, must also be 42°.

And we're done!


Related Questions

In March. Stephanie bought a new TV for $650.00. By September, when Mark bought the same type of TV, it cost him $800.00. What is the rate of change?​

Answers

Answer:

I think you mean the difference:

150-if Decimal answer

l15,000 regular answer

Step-by-step explanation:

what is the solution to the equation 1/2 (x-12) + 4 = 1/3 (6x-15)?

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} (x-12) + 4 = \frac{1}{3} (6x-15)[/tex]

[tex]\frac{x-12}{y2} +4=\frac{6x-15}{3}[/tex]

[tex]\frac{(x-12)+2*4}{2}=\frac{(2*3)x-3*5}{3}[/tex]

[tex]x=2[/tex]

what is 5 2/3 Divided by 3 and what is 7 1/2 Divided by 2 1/2

Answers

The first question is 5 7/9 and the second is 3 8/21

The boys' basketball team bought a new set of basketball for $486. If the team bought a total of 18 basketballs, how much did each basketball cost?

Answers

Answer:

$27

Step-by-step explanation:

$486 divided by 18

$27

Answer:

$27

$486 divided by 18

$27

Step-by-step explanation:

$486 divided by 18

$27

What is the equation of the least squares regression line? Variablex2 7 25 13 4 15 33 10 19 27 Variable y 16 19 22 21 19 19 26 21 22 25 y= 0.92z + 16.9 y=0. 26z +16. 9 y=16. 92 + 0. 26 y = 0.26x 16.9​

Answers

Answer:

Step-by-step explanation:

The equation of the Least Square Regression line which models the data given in the table is : y = 0.26x + 16.9

The equation of the Least Square Regression Line can be obtained using technology such as Excel or a linear regression calculator.

The general form of the equation is y = bx + c where ;

y = dependent variable x = independent variable b = slope c = intercept

Therefore, the least square regression equation is y = 0.26x + 16.9

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Archeologists use carbon-14 which has a half-life of 5730 years to determine the age of the artifact in carbon dating. How much carbon-14 remains after 40 millennials for a 24 mg sample?

Answers

Answer:

50 percent

5,730 years; The graph shows that 50 percent of the carbon-14 atoms have decayed after 5,730 years, so 5,730 is the half-life of carbon-14. 2. 12.5% 3.

Radiocarbon dating involves determining the age of an ancient fossil or specimen by measuring its carbon-14 content. ... Green plants absorb the carbon dioxide, so the population of carbon-14 molecules is continually replenished until the plant dies. Carbon-14 is also passed onto the animals that eat those plants.

simplify this expression
(-1/3) to the power of 4

Answers

Answer:

1/81

Step-by-step explanation:

[tex](-1/3) ^4\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \left(-a\right)^n=a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:even}\\\\\left(-\frac{1}{3}\right)^4=\left(\frac{1}{3}\right)^4\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\\\left(\frac{1}{3}\right)^4=\frac{1^4}{3^4}\\\\1^4=1\\3^4=81\\\\=\frac{1}{81}[/tex]

The value of [tex]\((-1/3)^4\)[/tex] using property of exponents is [tex]\(\dfrac{1}{81}\)[/tex].

To simplify the expression [tex]\((-1/3)^4\)[/tex], calculate the power of the numerator and the denominator separately.

[tex]\((-1/3)^4 = \left(\dfrac{-1}{3}\right)^4\)[/tex]

Now, let's simplify each part:

[tex]\(\left(\dfrac{-1}{3}\right)^4 = \dfrac{(-1)^4}{3^4}\)[/tex]

Using the exponent property

[tex](\dfrac{a}{b} )^4 = \dfrac{a^4}{b^4}[/tex]

[tex]\(\dfrac{(-1)^4}{3^4} = \dfrac{1}{3^4}\)[/tex]

The denominator [tex]\(3^4\)[/tex] means 3 raised to the power of 4, which equals 81.

[tex]\(\dfrac{1}{3^4} = \dfrac{1}{81}\)[/tex]

Therefore, [tex]\((-1/3)^4\)[/tex]simplifies to  [tex]\(\dfrac{1}{81}\)[/tex].

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i am desperate
y=2x+1-1 y=3x-2
Solve the following by using a graphing calculator

Answers

Answer:

Sadly you can't:( An texas instument calculators that can graph do not have an equal sign function.

Step-by-step explanation:

Turner has already taken 6 pictures at home, and he expects to take 3 pictures during every
day of vacation. Write an equation that shows the relationship between the days of vacation
d and the total number of pictures taken p.

Answers

Answer:

6+3d=p

Hope this helps ya

Answer:

p= 6+3x

Step-by-step explanation:

p is your f(x) a.k.a (y)

y= b+ mx

b is your y-intercept; (0,y) ; b = 6

mx is the slope (rate of change)

he will take (3) pictures for every day(x) he is on vacation

m is 3, x is unknown

If you take away 5 from 2 times y, you get 15​

Answers

Answer:

y = 10

Step-by-step explanation:

2y - 5 = 15

make y the subject of the formula

2y = 15 + 5

2y = 20

y = 20/2

y = 10

2995 divided by 27 but estimated

Answers

Answer: 110

Step-by-step explanation:

Answer:

110.925925926

Step-by-step explanation:

Hope to help

greetings from Peru

and I don't know English XD

HELP ME ASAP EXTRA POINTS

Answers

Answer:

the answer is the top right, YOUR WELCOME :)

Step-by-step explanation:

Answer:

x >1 and x ≤4

Step-by-step explanation:

x is greater than 1 and x is less than or equal to 4

please help me find the slope!!

Answers

Answer:

(4/3)

Step-by-step explanation:

up four, right three

Answer: m = 4/3

Steps: m = -1 - 3 ÷ 1 - 4

m = 4/3

Plz mark brainliest:)

Please help i will mark Brainly

Answers

Answer:

1.2

Step-by-step explanation:

Did the Math, hope I helped.

What is the value of the expression below when y = 3?
10y - 8
Answer:
Submit Answer

Answers

Answer: 22

Step-by-step explanation:

10(3)-8

10(3)=30

30-8=22

what is 3(x+3)-10=32 solving for x and in set notations ?

Answers

Answer:

x=11

Step-by-step explanation:

Answer:

3(x+3) - 10 = 32

3x + 9 - 10 = 32

3x - 1 = 32

+1 + 1

-----------------------

3x= 33

3 3

x= 11

I hope this helps you

Math question :D
Need help

Answers

Answer:

77

Step-by-step explanation:

c + 103 = 180

180- 103 = 77

c and b = 77

The answer is 77 by subtracting 180 from 103 which gives you your total and since they’re equal side (vertical angles) the other side would be 77 as well

The price of one share of stock A changed by a total of -$4.32 over the past 3 days. The price of one share of stock B changed by a total of -$5.80 over the past 4 days. The price of one share of stock C changed by a total of -$2.86 over the past 2 days. Match the stocks to their daily average change in price for one share.

Answers

Answer:

Stock A daily average change in price for one share = -$2.16

Stock B daily average change in price for one share = -$1.45

Stock C daily average change in price for one share = -$1.43

Step-by-step explanation:

Since we desire to find the price of each stock per day or its daily average change in price for one share, we divide the price change of one share of stock by the total number of days it took to change.

So for stock A, daily average change = price change/number of days

price change = -$4.32, number of days = 2

daily average change  =  -$4.32/2 =  -$2.16

for stock B, daily average change = price change/number of days

price change = -$5.80, number of days = 4

daily average change  =  -$5.80/4 =  -$1.45

for stock C, daily average change = price change/number of days

price change = -$2.86, number of days = 2

daily average change  =  -$2.86/2 =  -$1.43

Answer:

Stock A = -1.44

Stock B = -1.45

Stock C = -1.43

Step-by-step explanation:

-4.32 ÷ 3 = -1.44

-5.80 ÷ 4 = -1.45

-2.86 ÷ 2 = -1.43

if you're using edmentum that's the answer :)

_18
18 18 + 8x-8
Please in need of help

Answers

Answer:

-61

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write expression

-18/-6 + 8 × - 8

Step 2: Divide

3 + 8 × -8

Step 3: Multiply

3 - 64

Step 4: Subtract

-61

Answer:

If instructed to simplify the question, your answer is -5+8x.

Step-by-step explanation:

-18 divided by -6 equals positive 3.

3 + 8x -8 would become -5+8x, because 3 minus 8 is -5. Hope this helps!

Add 1/3 and 1/4 together

Answers

Answer:

7/12

Step-by-step explanation:

1/3+1/4

4+3/12

7/12

Answer:

7/12

Step-by-step explanation:

make both denominator the lowest common multiple, which is 12

1/3 = 4/12

1/4 = 3/12

therefore 4/12 + 3/12 = 7/12


Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of f(g(4))

Answers

your answer will be f(x)=39

The composite function f(g(4)) has a value = 182, given f(x) = x² + x, and g(x) = 3x + 1.

What is the combination of functions?

f(g(x)) or (f ∘ g)(x) represents the aggregate of functions f(x) and g(x), wherein g(x) acts first. It is a function that combines more functions to supply some other function. The output of one function inside the parenthesis will become the input of the outer function in composite functions. i.e.,

g(x) is the input of f(x) in f(g(x)).

f(x) is the input of g(x) in g(f(x)).

How can we solve the given question?

We are given functions:

f(x) = x² + x

g(x) = 3x + 1

We are asked to discover the value of the composite function f(g(4)).

We first discover the value of g(4) with the aid of using substituting x = 4 in g(x).

∴ g(4) = 3(4) + 1 = 12 + 1 = 13.

Now, we use the value of g(4) = 13, in f(x) to compute the value of f(g(4)).

∴ f(g(4)) = f(13).

To discover f(13), we substitute x = 13 in f(x)

∴ f(13) = 13² + 13 = 169 + 13 = 182.

∴ The composite function f(g(4)) = 182, given f(x) = x² + x, and g(x) = 3x + 1.

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be quick for my sakes please Find the difference using the number line. A number line ranging from two to three, with increments of one-fourth units. Drag and drop a number into the box to match the subtraction problem with its difference.

2.25−(−0.25)

A:2

B:2.75

C:2.5

C:2.25

Answers

Answer:

C: 2.5

Step-by-step explanation:

Given the subtraction problem;

2.25-(-0.25)

First we will need to open up the parenthesis by multiplying the signs. product of two negative signs will result in a positive. Hence the equation becomes;

= 2.25+0.25

Convert to fraction;

= 225/100 + 25/100

Find the LCM

= (225+25)/100

= 250/100

= 2.50

Hence the difference of both values on the number line is 2.5

Four friends went out to breakfast. Two of them ordered omelets for $5.49 each, and the other two ordered French toast for $6.29 each. Each breakfast included orange juice. They decided to split the bill evenly, except that Jill offered to leave a $3.00 tip with her payment. How much did Jill end up paying for breakfast?

Answers

Answer:

Jill would pay 5.945

Reason:

You add up 5.49 and 6.29 and get 11.78. Then you would divide that by 4 and get 2.945. If Jill were to pay the tip then they would have to pay three dollars would add three dollars onto their 2.945 and they would have to pay 5.945 instead of 2.945.

can someone PLEASEE help me I’m confused and I’ll give 20 points

Answers

The answer would be 1/2

Answer:

.5

Step-by-step explanation:

this is the answer I got out of my calculator. so your answer is going to be your second choice.

What is the property for
x = 6 ? I’ll give brainliest to the first person who answers correctly!

Answers

Answer:

it think it x=6 is x-6=6-6

x-6=0

The manufacturers of cans of salted mixed nuts state that the ratio of peanuts to other nuts is 5 to 3 . If 340 peanuts are in a​ can, find how many other nuts should also be in the can.

Answers

Answer:

204 other nuts

Step-by-step explanation:

340/5=68

68*3=204

What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
-3/4+1/2

Answers

-1/4
1/2=2/4
-3/4+2/4= -1/4

Simplify the following: 4x - 9y + 3xy + x

Answers

Answer:

5x-9y+3xy

Step-by-step explanation:

collect like terms

During a seven-day period, the temperature dropped 49°F. Write a division expression to represent the change. Then determine the average daily change in the temperature.

Answers

Answer:

49°F/7 days

7°F drop per day.

Step-by-step explanation:

Step 1; Set up expression

49°F/7 days

Step 2: Evaluate

7°F drop per day.

there are 112 students going on a field trip to pan for gold if they are going in vans that hold 6 students eat how many Vans are needed how many students will ride each van that isn't full​

Answers

Answer:

18 because it all the kids can fit in all the vans

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