solve general solutions
[tex] \sqrt{3tan \:} (2x - 10) + 1 = 0[/tex]

Answers

Answer 1

[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}+1=0[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}=-1[/tex]

[tex]\\ \rm\Rrightarrow 3tan(2x+10)=1[/tex]

[tex]\\ \rm\Rrightarrow tan(2x+10)=1/3[/tex]

1/3=0.33..tan^{-1}(0.33)≈18

[tex]\\ \rm\Rrightarrow 2x+10=18[/tex]

[tex]\\ \rm\Rrightarrow 2x=8[/tex]

[tex]\\ \rm\Rrightarrow x=4[/tex]


Related Questions

What is BC?


Enter your answer in the box.

Answers

Answer:

BC = 25

Step-by-step explanation:

I'm gonna assume that the triangle is an isosceles triangles, so sorry if this doesn't help!

4x + 1 = 2x + 23

2x + 1 = 23

2x = 22

x = 11

3(11) - 8

33 - 8

= 25

A bag contains 7 marbles 3 red 2 blue 2 green what is the probability of picking a green marble. answer as a percent

Answers

Answer:

28.57%

Step-by-step explanation:

to find the probability of something being picked you divide the amount of what your trying to get (2) by the total amount of what's in it (7).

2÷7=.2857

to turn it into a percentage we move the decimal point 2 to the right

28.57

Find the length of the arc intercepted on the unit circle by the following central angle. 0=5π
A. 5π

B. 5/2π

C. 4π

D. 10π

Answers

well, since arc's length is s = rθ where θ is in radians, and in the Unit Circle r = 1 and we also know that θ = 5π radians, then

s = (1)(5π)

s = 5π.

F(X)=2(X-1)^2-4 in standard form

Answers

Answer:

[tex]f(x)=2x^2-4x-2[/tex]

Step-by-step explanation:

Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]

[tex]\begin{aligned}f(x) & =2(x-1)^2-4\\& =2(x^2-2x+1)-4\\& = 2x^2-4x+2-4\\& = 2x^2-4x-2 \end{aligned}[/tex]

Find the area of each figure.
20 points

Answers

Answer:

purple shape= 1824 inches squared

For the green rhombus:

Answer: 3 ft^2

Explanation:

you can add a line HA to split the rhombus into two triangles

Area of each triangle

= (2 x 1.5) / 2

= 1.5 ft^2

As there are two triangles, so you can just add 1.5 and 1.5 ft^2 together, and the ans is 3 ft^2

Snow Crest is 11,920.21 feet higher than Mt. Wilson. Write and solve an equation to find the elevation of Mt. Wilson. Let x represent the elevation of Mt. Wilson. can you please help me?

Thank you

Answers

Answer:

685

Step-by-step explanation:

so if you have $86 and if that cost up to $1 and that would equals 685

33.
The number of people who voted for the Green Party in an election was 1500.
The number of people who voted for the Blue Party was 9000.
Write the ratio of Green Party voters to Blue Party voters in the form 1:n

Answers

Answer:

1:6

Step-by-step explanation:

=>            1500/9000

=>            1/6                          [ the hcf is 1500]

=>             1:6

4. A plumber charges $65 per hour to fix a leak. What is an equation that relates the total cost of a leak repair c to the number of hours, h, it takes the
plumber to fix the leak? Show work

Answers

Answer:

c = 65h.

Step-by-step explanation:

cost = rate per hour * hours worked:

c = 65 * h .

What is the measure of the unknown angle?
A 64°
B 76°
C 83°
D 87°

Answers

Answer:

D, 87 is the answer

Step-by-step explanation:

360 is a full circle so subtract 360 to 273 and its 87 hope this helps! :)

Answer:

d

Step-by-step explanation:

solve for the variables x and y

Answers

Answer:

Step-by-step explanation:

can you please tell me which one it is and why. thank you​

Answers

Answer

its A the answer is on quizzes  

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

rational numbers do not have unending numbers trailing it

ex: 1, 1/4 13/2

irrational numbers do not end

(pi, square root of 2)

The sum of the roots of x² + 6x - 55 = 0 is:
A. 6
B. -6
C. -55

Answers

Answer:

B

Step-by-step explanation:

the sum of the roots = - [tex]\frac{b}{a}[/tex]

x² + 6x - 55 = 0

with a = 1 , b = 6 , then

sum of roots = - [tex]\frac{6}{1}[/tex] = - 6

{3x+y=2
{6x +2y=4

i think it’s system of equations

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

[tex]3x+y=2[/tex]

[tex]6x+2y=4[/tex]

[tex]6x+2(2-3x)=4[/tex]

[tex]6x+4-6x=4[/tex]

[tex]6x-6x=4-4[/tex]

[tex]0=0[/tex]

Since the two equations are the same, the system of equations has infinitely many solutions.

Pythagorean theorem. Show your work!
Please help in really stuck!!

Answers

Answer:

[tex]\sqrt{81}[/tex] = 9 :)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2 = c^2.

In this case, a = 12, c = 15, and we do not know the value of "b."

Let's solve by plugging the values in!

12^2 + b^2 = 15^2

144 + b^2 = 225

Subtract 144 on both sides:

b^2 = 81

b = sqrt 81

b = 9

7) Max was browsing Amazon on his phone and decided to purchase the newest Adidas shoes. He bought
them for $280. Unfortunately, a newer version was released a week later and his shoes began depreciating
in value rapidly. Every week the value of the shoes decreases by 8%, how much will the shoes be worth
in 2 months (8 weeks)?

Answers

Answer:

$100.8

Step-by-step explanation:

Green had d dollars. He spent $821 on a new TV. Now he has $121 left. How much money did he have before he bought a TV?

Answers

he had $942 dollars before: 821+121

What is the price per foot.

Answers

Step-by-step explanation:

oh, come on ! you really cannot figure that one out ?

as there are 3 ft in 1 yd, 6 yd are then 6×3 = 18 ft.

so, 18 ft cost $2.88

1 ft costs then 2.88/18 = $0.16

Please answer number 14. It would mean so much to me.

Answers

Answer:

100.1 ft

Step-by-step explanation:

You have dimensions of the original and scaled figures.

The missing dimension can be found using proportions as below

52.8 in ⇒ 57.2 ft (width)92.4 in ⇒ x ft (height)52.8/57.2 = 92.4/xx = 92.4*57.2/52.8x = 100.1 ft

Andrea went strawberry picking. She picked 245 strawberries. Julio went with her and picked
x fewer than she did. Write an expression that shows the number of strawberries that Julio
picked?

Answers

Answer:

245-x

Step-by-step explanation:

Since x is the anount fewer than the mount Andrea picked, to get Julio's amount you would subtract x from 245.

5. Cole worked for a concrete company last weekend. On Saturday, his gross income was $350
and his net income was $307.05. On Sunday, his gross income was $280 and his net income
was $246.35. What amount did Cole pay in payroll tax last weekend?

Answers

The answer is Coles pay $76.6o in payroll tax last weekend.

is zero a rational number? can you write it the form of p/q where p and q are integers and q≠0​

Answers

Answer:

yes, we can write zero in the form of p/q.

[example] that is 0/3, 0/5...


PSSA pleas
neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed yall help im black

Answers

In the 3.3 column place 2 dots
In the 3.4 column place 1 dot
In the 3.5 column place 2 dots
In the 3.7 column place 1 dot
In the 3.8 column place 4 dots
And in the 4.0 column place 3 dots

How to find the complement of a 58 degree angle

Answers

Answer:

32°

Step-by-step explanation:

Complementary angles sum to 90°

the complement of 58° is

90° - 58° = 32°

hello!

Complementary angles add up to [tex]\sf{90^\circ}[/tex].

In order to find the complement of the given angle, we should set up the following equation:-

(let n be the unknown angle)

[tex]\sf{n+58=90}[/tex]

Subtract 58 from both sides:-

[tex]\bigstar{\boxed{\pmb{n=32}}[/tex]

Hence, the complement of the angle is 32 degrees.

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

the equation A = bh is used to calculate the area, A , of a parallelogram with base, b , and height, h . Calculate the area of a parallelogram with a base of 15 inches and a height of 9 inches

Answers

Answer:

135

Step-by-step explanation:

A = bh

A = 15 x 9

A = 135

Find the surface area of this figure.

Answers

Answer:

57 inches^2 is the answer buddy

Step-by-step explanation:

BxH divided by 2

Find the surface area of this figure.

Answers

Step-by-step explanation:

6x3 (3 is because it's half of 6) =18 to find the area of I triangle, I now divide it by 2. 18÷2=9. there are 8 separate triangles so 9x8=72. now the square. 6x6=36. now add 72 + 36=108 in.

Answer correctly with good explanation. Please and thank you

Answers

Answer:

The cost is $352.80

Step-by-step explanation:

step 1. 14 * 12 = 168 ----> find out the area (base times height)

step 2. 168 * 2.10 = 352.80 -----> multiply the area with the cost of per square foot of the carpet

I hope this helped :))

Cindy invested $2,800. The function V(t) = 2,800(1.025)t models the value of Cindy’s investment after y months. The function S(t) = 10t models the amount of money that Cindy has saved in a safe at her house after t months. Which function C(t) models the combined value of the investment and money in the safe?
A. C(t) =2,800(1.025)t + 10t
B. C(t) = 2,800(1.025)11t
C. C(t) =(2,800 + 10t)(1.025)t
D. C(t) =2,810(1.025)t

Answers

Answer:

Option A

Step-by-step explanation:

The amounts invested and saved are independent and their total is the combined amount.

[tex]C(t) = V(t) + S(t)[/tex][tex]C(t) = 2,800(1.025)^t + 10t[/tex]

Correct choice is A

Lets see

V(t)=2800(1.025)^tS(t)=10t

Add both

C(t)=S(t)+V(t)C(t)=2800(1.025)^t+10t

Two customers took out car loans from a bank. marcus took out a 5-year loan for $10,000 and paid 4.7% annual simple interest. gianna took out a 6-year loan for $10,000 and paid 4.5% annual simple interest. what is the difference between the amounts of interest marcus and gianna paid for their car loans? question 2 options: $500 $400 $450 $350

Answers

The answer is $350. i answered this question previously, hope it helps you.


NEED HELPPPP!!!!!!!!!

Answers

Answer:

i think d but i don't know for sure

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