solve the equation 3tan(2x+15°)=4 for 0°is less than equal to x and 180° is greater than equal to x.

Answers

Answer 1

Answer:

[tex]3tan(2x+15)=4\\or, \frac{tan2x+tan15}{1-tan2x.tan15} =\frac{4}{3}\\or, 3tan2x+3tan15=4-4tan2x.tan15 \\or, 3tan2x+4tan2x.tan15=4-3tan15\\or, tan2x(3+4tan15) = 4-3tan15\\or, tan2x = \frac{4-3tan15}{3+4tan15}\\or, 2x =tan^{-1}(\frac{4-3tan15}{3+4tan15})\\or, x = \frac{tan^{-1}(\frac{4-3tan15}{3+4tan15})}{2} = 19.06505118 (approximate)\\[/tex][tex]Note: tan30 = \frac{2tan15}{1-tan^{2}15}\\or, \frac{1}{\sqrt{3} } = \frac{2tan15}{1-tan^{2}15}\\or, 1-tan^{2}15 = 2\sqrt{3}tan15\\or, tan^{2}15+2\sqrt{3}tan15-1=0\\Solve~using~the~quadratic~formula~to~get~tan15^o=2-\sqrt{3}.[/tex]


Related Questions

parallelograms help!!

Answers

Answer:

20 degrees

Step-by-step explanation:

Answer:

z = 36

Step-by-step explanation:

124 + 2z + 16 = 180

-16          -16

108 + 2z = 180

-108          -108

2z = 72

/2    /2

z = 36

Jason is a salesmen at the store. He earns 8.50 per hour, plus a 10% commission on his total weekly sales over 1,000. Last week, Jason worked 18 hours and had total sales of 1,492. Which is the best estimate for the total amount of money Jason earned last week

Answers

8.50x18=153
1492x.10(10%)=14.92
You can then round this to get 153+15 which equals 168

Which is greater than 4?

Answers

do you mean numbers 5 6 7 8 9 10

Answer:

Every number except for 0, 1,2,3

Chris and his friends are going to the ice cream shop
that having a sale on milkshakes. Each milkshake cost
$2.
Write an equation that represents buying any number
of milkshakes (m).
Help plz I will mark u Brainly

Answers

Answer:

2xm

Step-by-step explanation:

Please help!
What is the value of x?

Answers

The value of x is 4/3

which of the following expressions below represent the phrase 8 times a number w less three​

Answers

Answer:

8w - 3

Step-by-step explanation:

Number "W" - variable

less - subtraction


Write an expression showing the sum of 8 and a number f.
Show Your Work

Answers

Answer:

8+f

Step-by-step explanation:

3/4(1/6x+16)=3/7(4 3/8x-21) I WILL AWORD BRILLENEST :>

Answers

Answer:

x=12

Step-by-step explanation:

Let's solve your equation step-by-step.

34(16x+16)=37((438)(x)−21)

Step 1: Simplify both sides of the equation.

18x+12=158x−9

Step 2: Subtract 15/8x from both sides.

18x+12−158x=158x−9−158x

−74x+12=−9

Step 3: Subtract 12 from both sides.

−74x+12−12=−9−12

−74x=−21

Step 4: Multiply both sides by 4/(-7).

(4−7)*(−74x)=(4−7)*(−21)

x=12

Answer:

x=12

Answer:

x = 12

Step-by-step explanation:

34(16x + 16) = 37((438)(x) − 21)

18x + 12 = 158x − 9

18x + 12 − 158x = 158x − 9 − 158x

−74x + 12 = −9

−74x + 12 −12 = −9 −12

−74x = −21

(4−7) × (−74x) = (4−7) × (−21)

x = 12

Johnny and his father go fishing at 5:00 AM. After motoring 6 km upstream, Johnny writes a letter to his friend, puts the letter in a bottle and drops it into the river. the bottle floats in the current and reaches at 7 : 40 AM the point where Johnny and his father began the trip. If the speed of the boat in still water is 9 km/h, what is the speed of the river current?

Answers

Answer:

4.5

Step-by-step explanation:

Probably too late for your RSM homework, but here is the solution:

6/(9-x) [Time they motored upstream] +6/x [Time it took the bottle to get back to the starting point] = 8/3 [Total Time]

Simplify to 54/(x(9-x))=8/3

Cross multiply: 162=(8x)(9-x)

Simplify -x^2+9x=20.25

Multiply both sides by negative one and move 20.25 to the other side. x^2-9x+20.25=0

Solve and get 4.5 :D!

Khan academy Help please

Answers

Answer:

B, C and F

Step-by-step explanation:

A constant is where a variable or number is on its own

B - 2x-4 (4 is the constant)

C - 8x+y (y is the constant)

F - 7+4x (7 is the constant)

dont mind me just typing random stuff to be able to ask a question

-1>2.5 true or false

Answers

Answer:

false

Step-by-step explanation:

-1 is negative hvxdshvxjshvxhsdvxhjvsdhjx wdvx dwvjxvhwdjvxhjdwvxjgvdexhjvdshxvdsjhxvhdjsvxhds


[tex]0.004 \times 0 .81[/tex]

Answers

the answer is 0.00324
The answer is 0.00324
In scientific notation it is 3.24 * 10^3
As a fraction it is 81/25000

please help......,..​

Answers

180-90= 90
90-55=35
x=35

Answer:

try 35?

Step-by-step explanation:

rite an equation in standard form of the circle with the given properties.
Center at the origin; r = square root 6

Answers

Answer:

x² + y² = 6

Circle Center at the origin; r = square root 6

(x - 0)² + (y - 0)² = (✓6)²

x² + y² = 6

Assume that a watermelon dropped from a tall building falls y = 16t ^ 2 ft in t sec. Find the watermelon's average speed during the first 6 sec of fall​
A)97 ft/sec
B)48
c)96
D 192

Answers

Answer:

A.) 96 ft/sec

Step-by-step explanation:

to find the average speed of the watermelon's fall in 6 seconds, substitute 6 as t in the equation and then divide by 6: [tex]y = \frac{16(6)^{2} }{6} = 96 ft/sec[/tex]

The legs of a right triangle are 3 and 6. Find the length of the hypotenuse

Answers

Answer:

6.71 unit

Step-by-step explanation:

Given that:

Legs of a right angle triangle are 3 and 6

From Pythagoras rule;

Hypotenus = sqrt(Adjacent² + opposite²)

Both legs are adjacent and opposite

Hence,

Hypotenus = sqrt(3² + 6²)

Hypotenus = sqrt(9 + 36)

Hypotenus = sqrt(45)

Hypotenus = 6.708

Hypotenus = 6.71

Explain how to find 25%of 100 not just the answer explain how

Answers

Explanation on how to find:

.25 x 100

invests $8,000 in a savings plan that pays 5% per year. What will the account balance be at the end of the first year?

Answers

The equation is I = PRT where I is the interest to, P is the principal, or money deposited, R is the rate in decimal form, and T is time in years.

I = (8,000)(0.05)(1)
I = $400

Add that to the original deposit and you have $8,400 as the account balance at the end of the first year

Que es una ecuación cuadrática

Answers

Step-by-step explanation:

En álgebra, una ecuación cuadrática es cualquier ecuación que se puede reorganizar en forma estándar como ax ^ {2} + bx + c = 0 donde x representa una incógnita, y a, byc representan números conocidos, donde a ≠ 0. Si a = 0, entonces la ecuación es lineal, no cuadrática, ya que no hay término ax ^ 2.

Please solve this question

Answers

Answer:

Gud morning friend

Step-by-step explanation:

Sorry friend I don't know

Are these numbers rational or irrational?



0.328



√101 (square root of 101)



127.89



-89

Answers

Answer:

All rational

Step-by-step explanation:

rational = containing quantities that are expressible as a ratio of whole numbers

20. A grocer sells mangos for $4 per pound and apples for $3 per pound. The grocer starts with

45 pounds of mangos and 50 pounds of apples each day. The grocer's goal is to make at

combinations of mangos and apples that could be sold to meet the goal. List two possible

combinations

Describe all possible solutions

Answers

Complete question :

A grocer sells mangos for $4 per pound and apples for $3 per pound. The grocer starts with

45 pounds of mangos and 50 pounds of apples each day. The grocer's goal is to make atleast $300 each day. What combinations of mangos and apples that could be sold to meet the goal. List two possible

combinations

Answer:

m = 45 ;a = 40

m = 45 ; a = 45

Step-by-step explanation:

Mangoes, m = $4

Apples, a = $3

Total :

45 pounds of mangoes

50 pounds of apple

4m + 3a ≥ 300

If m = 45

a = 40

4(45) + 3(40)

180 + 120 = 300

If m = 45 ; a = 45

4(45) + 3(45)

180 + 135 = 315

Hence, 2 possible combination :

m = 45 ;a = 40

m = 45 ; a = 45

For all possible solutions :

4m + 3a ≥ 300

i need these answers quickly, all questions

Answers

Answer:

1.) R = 9 in

2.) R = 14.5 m

3.) D = 42 ft

4.) 26 mm

5.) 131.88 m

6.) 34.54 in

7.) 25.12 yd

8.) 28.26 mm

9.) 43.96 in

10.) 197.82 cm

11.) 263.76 cm

12.) 94.2 cm

13.) 97.34 m

14.) 138.16 cm

15.) 47.1 yd

16.) 285.74 cm

Step-by-step explanation:

2(pi)r... literally plugged in

ercises
GUIDED PRACTICE
Solve.
1. What percent of 100 is 25?​

Answers

Answer:

25%

Step-by-step explanation:

finding for the percentage of 100 is extremely easy since 100 is the same as 100%, that makes 99 as 99%, 57 as 57%. so the answer is 25%

25
-----
100

=
1
---- ×100
4


= 0.25 ×100

= 25%

pleaseee somebody tell me the answer.

Answers

Answer:

aprx. 50.24 inches

Step-by-step explanation:

I hope this helps! :)

☁️☁️☁️☁️☁️☁️☁️

pleaseee somebody tell me the answer.

A circle fountain has a radius of 12 feet. What is the circumference of the fountain? Please explain your answer. Use 3.14 to solve.

Answers

Answer:

75.36 feet

Step-by-step explanation:

It’s in the attachment below!

WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND EXTRA POINTS IF BOTH ANSWERED

Answers

Answer:

#3.) A

#4.) C

Step-by-step explanation:

Answer:

3) D) 30°

4) A) 5°

Step-by-step explanation:

3) (24+36+55+65)÷4=45

(72+78)÷2=75

75-45=30

4) 30÷6=5

Need help on this please any one

Answers

Answer:

[tex] \sqrt{29} [/tex]

If 13 candy bars cost $19.76, how much do 20 candy bars cost?

Answers

19.76/13 = $1.52

$1.52 x 20 = $30.40

Answer:

cost of one candy bar = 19.76/13

= $1.52

cost of 20 candy bars = 1.52x20

= $30.4

pls mark brainliest

Solve 5(3C - 2) - 7c = 40 - 20

Answers

Answer:

Step-by-step explanation:

Answer:

C  =  2 +

7c

15

Step-by-step explanation:

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