If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to
(a) 0
(b) 13√
(c) 1
(d) √3


please answer it fastt

Answers

Answer 1

Answer:

(c) 1

Step-by-step explanation:

[tex] \sin \: A = \cos(2A - 45 \degree) \\ \\ \cos(90 \degree - A )= \cos(2A - 45 \degree) \\ \\ 90 \degree - A = 2A - 45 \degree \\ \\ 90 \degree - 45 \degree = 2A -A \\ \\ 45 \degree = A \\ \\ A = 45 \degree \\ \\ \tan \: A = \tan \: 45 \degree \\ \\ \huge \red{ \boxed{\tan \: A =1}}[/tex]


Related Questions

The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 18 fl oz per . How fast was the pipe leaking in gallons per ​?

Answers

Answer:

0.140625 gallons per

Step-by-step explanation:

By doing a quick search we discover that there are 1 fl oz is equal to 0.0078125 gallons. Therefore, in order to find out how fast the pipe was leaking in gallons, we simply multiply the rate of fl oz by the number of gallons for every fl oz like so...

18 fl oz  *  0.0078125 gallons =  0.140625 gallons

15 POINTS WILL GIVE BRAINLIEST
Find the range of the following piecewise function.
f(x){x^2+2 if -5≤x<3}
f(x){x-4 if 3≤x<7}
[27,3)
(-22,3]
(27,3]
[-22,3)

Answers

Answer:

[27,3) i think

Step-by-step explanation:

draw a rough sketch of a closed curve that is not a polygon

Answers

Answer:

I have inserted a photo.

Hope this helps :D

It takes 1 minute for a certain amount of potassium bromide (KBr) to dissolve in 100 grams of water at 25 °C.

Which of the following will most likely happen if the same sample of potassium bromide is dissolved in 100 grams of water at 100 °C?

The sample will dissolve in exactly 1 minute.
The sample will dissolve in less than 1 minute.
The collision between particles of the sample will decrease.
The collision between particles of the sample will remain constant.

Answers

Answer:

The sample will dissolve in less than one minute

Step-by-step explanation:

Plz HURRY!!!
Which multiplication expression can be used to check this division problem: 2/5 divided by 4/15 = 3/2

O 2/5 times 4/15
O 3/2 times 4/15
O 3/2 times 15/4
O 5/2 times 15/4

Answers

Answer:

I'm pretty sure it's B

Step-by-step explanation:

Answer:

3/2 times 4/15

Step-by-step explanation:

In division, the quotient times the divisor equals the dividend. This multiplication can be used to check if the math was correct.

Here's an example:

6 / 3 = 2

6 is the dividend, 3 is the divisor, and 2 is the quotient.

2 times 3 is 6, which proves that the quotient times the divisor is the dividend , and it also means that the quotient was correct.

(This example was used because the numbers are nice and easy, so they are good examples for this kind of thing)

Log3(2)+log3(8)
Pls help asap

Answers

Answer:

[tex]log_{3}[/tex] 16

Step-by-step explanation:

Using the rule of logarithms

logx + logy = log(xy), then

[tex]log_{3}[/tex]2 + [tex]log_{3}[/tex]8

= [tex]log_{3}[/tex](2 × 8)

= [tex]log_{3}[/tex] 16

An item that originally cost $56.00 is on sale for 20% off. What is the sale price?

Answers

Answer:

44.8

Step-by-step explanation:

this is the answer

Answer:

Step-by-step explanation:

Given original cost of item =56

On sale 20%off

20%of 56

= 20/100×56

=11.2

The sale price =56-11.2

= 44.8

The brown family has 5 liters of lemonade. Each liters of lemonade weighs 1 kilogram. At the end of the day they have 290 grams of lemonade left. How many grams of lemonade did they drink.

Answers

Answer:

4710grams of lemonade.

Step-by-step explanation:

Step one:

given data

the brown family has 5 liters of lemonade that weighs 1 kg per liter

this implies that they have 5kg of lemonade.

convert 5kg to grams we have 5*1000= 5000grams

(because 1000g is equal to 1kg)

Step two:

if at the end of the day there was 290grams left, then they drank

=5000-290

=4710

They drank 4710grams of lemonade.

A’ is the image of A in a regular pentagon. What is the angle of a clockwise rotation, in degrees, about the origin that transfers A to A’

Answers

Answer:

B. 144°

Step-by-step explanation:

have a nice day.

HELP WILL GIVE BRAINLIEST

Answers

Answer:

A. 2000 square inches

B. 53.1 square inches

Which of the following statements is true?

The value π is a rational number.
The number 0 is a natural number.
The number 1/2 is an integer.
The number -5 is a real number.

Answers

Answer:

The value π is a rational number.

Step-by-step explanation:

a person has 80 followers on social media. The number of followers tripled each year. How many followers will she have after 4 years. Explain your answer

Answers

I was wrong sorry:(

the second one is correct

Answer:

6,480 followers

Step-by-step explanation:

1 year = 80(3) = 240

2 years = 240(3) = 720

3 years = 720(3) = 2,160

4 years = 2,160(3) = 6,480

Solve for X in this parallelogram

Answers

Answer: 7

360 = 2(80) + 2(14x+2)
360 = 160 + 28x +4
360 - 160 - 4 = 28x
196 = 28x
7 = x

NEED HELP ASAP NEXT QUATER IS TODAY
Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 50.00 ounces. One bag of cereal weighs 14.06 ounces, the other weighs 20.15 ounces. How much does the box weigh? (2 points)
15.79 ounces
15.22 ounces
15.25 ounces
14.89 ounces

Answers

Answer:

15.79 ounces

Step-by-step explanation:

50−(14.06+20.15)

Which of the equations below represents a line parallel to the y-axis?
OA.
x=-Y
OB.
X= 4
O C. X= 4y
OD.
x= y

Answers

Answer: x=4
Explanation:

Samir's curtain company is making curtains for a local hotel. He wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Samir's curtain company wants to make 72 curtains, how many feet of fabric will he need?

Answers

Answer:

Which two elements of drama divide the play and indicate shifts in location or scenery?

dialogue

act

character

monologue

scene

Step-by-step explanation:

ax = bc - c solve for x

Answers

Answer:

X = c - b/a

Step-by-step explanation:

Answer:

x=bc/a - c/a

You simplify it like you would any equation, only difference is it does not have numbers.

please help!!!
I don’t understand

Answers

Answer:

y = -2/5x - 6

Step-by-step explanation:

Slope intercept follows the y = mx + b, which m is the slope, and b is the y intercept.

1. Find the slope:

The formula for slope is the change in y/ over the change in x. Or you can say rise/run.

In other words you can take any of those 2 dots, first count them to the other dot, which is -2, then count horizontally, which is 5, so the slope is -2/5

Another way:

Another way is to take any two points, like (-10, -2), and (-5, -4).

Then we can do -4 -(-2)/-5 -(-10), which is -2/5.

So the equation we have so far is y = -2/5x + b

2.Find the y intercept

Based on the graph, the y intercept is -6, so we get

y = -2/5x - 6

Given: O ∈ AB , ON is ∠ bisector of ∠AOC, OF is ∠ bisector of ∠COB, m∠FOB=70°. Find: m∠AON

Answers

Answer:

AOC = 20 degrees

Step-by-step explanation:

We know that FOB is 70 degrees, and COF is 90 degrees. So just add 70+90 and get 160 degrees. Then you subtract that from AOB which is 20 degrees.

I need help with the equation inserted in the picture.

Answers

Answer:

x = 4

-4x+21 => 5

Step-by-step explanation:

The given triangle in the picture is isosceles triangle which means that two sides of the triangle are equal.

So,

[tex]Side\ 1: -4x+21\\Side\ 2: -4x+21\\Side\ 3: 6\\Perimeter = 16[/tex]

Now

Putting all the values in equation for perimeter

[tex]Side\ 1+Side\ 2+Side\ 3 = 16\\-4x+21 -4x+21 + 6 =16\\-8x +48 = 16\\-8x = 16-48\\-8x = -32\\\frac{-8x}{-8} = \frac{-32}{-8}\\x = 4[/tex]

Putting x = 4 in side 1

[tex]=-4(4)+21\\= -16+21\\=5[/tex]

Hence,

x = 4

-4x+21 => 5

Given f(x) = -2x³ + x² - 2 find f(1) -3 -1 1 3

Answers

Answer:

-3

Step-by-step explanation:

Substitute -1 into the expression for every place of x, and evaluate it.

Please someone please help, will mark you Brainliest


Read the problem carefully and write the required information:


Community Gym charges a $50 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will that amount be?


What are you looking for?


Define a variable:


Write the equation:



Solve the equation:


What will the amount of money be when the total amount of money paid to both gyms is the same?

Answers

Answer:

Step-by-step explanation:

Community gym

=> membership fee = $50

=> monthly fee = $55

=> First month = 105$

=> 50 + 55(x)

=> 50 + 55 (15)

=> 50 + 825

=> 875

Workout gym

=> membership fee = $200

=> monthly fee = $45

=> First month = 245$

=> 200 + 45(x)

=> 200 + 45(15)

=> 200 + 675

=> 875

On the 15th month, community gym and workout gym will both get the same amount of $875.

Answer: what are you looking for? after how many months will the total amoung of money paid to both gyms be the same? Define a variable: I'm not sure. Write the equation, community Gym 50 + 55(x), workout gym 200 + 45(x), solve the equation. on the 15th month, community gym and workout gym will both get the same amount of $875.

Step-by-step explanation:

PLEASE HELP IM TIMED

Jessica and Jonathan need to figure out how much to charge for their lemonade. First, they need to know how much they spent on ingredients! As seen in the table, they bought 6 containers of lemon juice, 2 packages of sugar, and 2 bottles of water.

What is the total amount of money they spent?

1) $12.90

2) $16.34

3) $18.75

4) $20.16

Answers

Answer:

20.16

Step-by-step explanation:

add

Answer:

20.16

Step-by-step explanation:

Got it on Freckle

Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x= 53 and y= 143

Step-by-step explanation:

x= 90-37

x= 53

y= 53+90

y= 143

8(x+2) when x=6 show how the answer is the answer them put = the answer thanks

Answers

Answer:

64

Step-by-step explanation:

Substitute 6 in for x in the equation to get 8(6 + 2). You need to follow the order of operations and solve what is in the parentheses first. 6 + 2 is 8, so that leaves you with 8(8). 8 x 8 is 64. 64 = the answer.

Pls help me I have no idea

Answers

Answer:

130 degrees

Step-by-step explanation:

ABF and BFE are alternate angles. So BFE is 65

BG=FG so FBG is 65. x the exterior angle is 65+65=130 degrees

Can someone helllllppp me on 5 more problems like this n I’ll give u 20 dollars in cashapp plzzz I’m being serious

Answers

Answer:

y = x - 5

Step-by-step explanation:

[tex] \rm Solve \: for \: y: \\ \rm \longrightarrow x - y= 5 \\ \\ \rm Subtract \: x \: from \: both \: sides: \\ \rm \longrightarrow x - y - x = 5 - x \\ \\ \rm \longrightarrow -y = 5 - x \\ \\ \rm Multiply \: both \: sides \: by \: -1: \\ \rm \longrightarrow - y \times ( - 1) = (5 - x) \times ( - 1) \\ \\ \rm \longrightarrow y = x - 5[/tex]

la razón entre dos triángulos es 4. Los lados del primer triángulo miden 6cm, 9cm, 12cm, ¿Cuáles son las
medidas del segundo triángulo?

Answers

Answer:

24cm, 36cm y 48cm

Step-by-step explanation:

Tu necesitas multiplicar cada lado por 4 porque 4 es el factor de escala.

(Lo siento si mi explicacion es mala, no se mucho Español, entonces no puedo explicar muy bien)

HELP ME WITH THIS I'LL GIVE THE BRAINLIEST.

For items 6 to 9, use illustration on long division that follows:

6. Which is the dividend?

A. 5x + 5
B. 5x -5
C. 25x2 - 50x +25
D.O
7. What is the remainder?
A. 5x + 5
B.X + 5
C. -5
D.O
8. Which is the quotient?
A. 5x + 5
B. 5x -5
C. 5x² + 14x-24
D.O
9. What is the process used to obtain the 2nd line?
A. Multiplying 5x by (5x-5)
C. Dividing 5x by (5x -5)
B. Adding 5x by (5x-5)
D. Subtracting 5x by (5x -5) ​

Answers

Answer:

6) A. 5x+5

7) D. 0

8) A. 5x+5

9) I'm not sure sorry

Step-by-step explanation:

Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 6 units above R to leave room for a utility truck. What are the coordinates of the location of the second

Answers

Answer:

[tex]R' = (-4 , 4)[/tex]

Step-by-step explanation:

Given

See attachment for the grid coordinate

From the attachment, we have that:

[tex]R = (-4,-2)[/tex]

Required

Determine the coordinates of the second truck

Represent the position with R'

From the question, we understand the position of R' is 6 above R

When a point (a,b) is moved n point above, the new point becomes (a, b + n)

So:

[tex]R = (-4,-2)[/tex]

When moved 6 points above becomes:

[tex]R' = (-4 , -2 + 6)[/tex]

[tex]R' = (-4 , 4)[/tex]

Hence, (-4,4) answers the question

Other Questions
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