If sin x= 24/25 and cos x=7/25, what does tan x equal? What is the simplified fraction

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180

17x + 10x -5 +  50 = 180

Combine like terms

27x + 45 = 180

To find the valu of x, we have to isolate x. To isloate x

Step 1: Subtract 45 from both sides

           27x = 180 - 45

           27x = 135

Step 2: Divide both sides by 27

               x = 135/27

x = 5

Answer:

[tex]\textsf{D.}\quad\dfrac{b}{\sqrt{a^2+b^2}}[/tex]

Step-by-step explanation:

Tan trig ratio

[tex]\tan(x)=\sf \dfrac{O}{A}[/tex]

where:

Using the given information:

[tex]\implies x=\tan^{-1}\left(\dfrac{a}{b}\right)[/tex]

[tex]\implies \tan(x)=\tan\left(\tan^{-1}\left(\dfrac{a}{b}\right)\right)[/tex]

[tex]\implies \tan(x)=\left(\dfrac{a}{b}\right)[/tex]

Comparing this with the trig ratio, we can say that:

[tex]x[/tex] is the angle opposite side [tex]a[/tex]

Cos trig ratio

[tex]\cos(x)=\sf \dfrac{A}{H}[/tex]

where:

Therefore:

[tex]\implies \cos\left(\tan^{-1}\left(\dfrac{a}{b}\right)\right)=\cos(x)= \dfrac{b}{\sqrt{a^2+b^2}}[/tex]

When the bay shoots are 82.55 mm, Derek should cut them according to the guidebook for growing fresh herbs option (c) is correct.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.

The book says that it is best to cut bay shoots when they are 3.25 in long.

As it is given that the:

1 mm = 0.03937 in

To find how many millimeters long should the bay shoots be when Derek cuts them, we must convert 3.25 in to mm

From the 1 mm = 0.03937 in, we can find how many mm is there in 1 in;

[tex]\rm 1 \ in= \frac{1}{0.03937} \ mm[/tex]

To convert 3.25 in into mm, we must multiply it by 1/0.03937

= 3.25×(1/0.03937)

= 82.55 mm

Thus, when the bay shoots are 82.55 mm, Derek should cut them according to the guidebook for growing fresh herbs option (c) is correct.

Learn more about the unit conversion here:

brainly.com/question/14350438

Answer:

10 hours = 60 mph

you will need to go 60 mph to make the trip 10 hours

explaination:

Multiplying the amount of hours and the mph, 12 times 50 is 600 miles.

10 times 60 is 600 miles. They both have the same answer, but 60 mph is the fastest. 60 mph is how fast you would need to go to make it in 10 hours.

I dont know if i explained it good.

Answer:

72pi

Step-by-step explanation:

solution:

3x^2+9x-5

i hope this helps

:)

Answer:

Reflected on the Y axis

Step-by-step explanation:

x axis is 0, while y axis is both 7 and -7.

Answer:

c is 7

Step-by-step explanation:

becuase 4x4=16 then u divide 16\2=7

Answer:

  (b)  commutative property

Step-by-step explanation:

The "simplified" expression has the positions of the last two terms in the sum swapped. The property of addition that lets you change the order of the terms is the commutative property of addition.

Answer:

216 outcomes.

Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes

Answer:

B

Step-by-step explanation:

-5 is less than -4 is true. it cannot be the first one because they are equal. It cannot be the third one because the absolute value of 5 (which is 5) is not greater than 7. And, it cannot be the last on because the absolute value of -5 (which is also 5) is not less than -4.

Answer:

Hey i believe this is the answer

Step-by-step explanation:

Take a look at the screenshot

Also Desmos graphing calculator is a big help :) It might make you a little more confident

Answer:

ACUTE TRIANGLE

Step-by-step explanation:

If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, the triangle is acute. However, if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse.

Therefore, the triangle with sides 11, 9, and 7 is an acute triangle since 9² + 7² is greater than 11²

[tex] {9}^{2} \: + \: {7}^{2} > \: {11}^{2} \\ 130 > 121[/tex]

Answer:

1.75

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

I assume x with dash on top is mean

The sum of all x's is 175 and there are 25 x's.

To find the mean:

175/25 = 7

Answer:

x = 7.5, x = -5

Step-by-step explanation:

1. Plug a(2), b(-5), and c(-75) into the qudratic formula:

[tex]x_{1,2} =\frac{-(-5)+-\sqrt{(-5)^{2}-4(2)(-75) } }{2(2)}[/tex]

2. Find the square:

[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25-4(2)(-75) } }{2(2)}[/tex]

[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25+600} }{2(2)}[/tex]

[tex]x_{1,2} =\frac{-(-5)+-25 }{4}[/tex]

3. Separate the solutions:

[tex]x_{1} = \frac{-(-5)+25}{4} , x_{2} =\frac{-(-5)-25}{4}[/tex]

4. Solve for both:

[tex]x_{1} =\frac{5+25}{4} \\\\x_{1} =\frac{30}{4} \\\\x_{1} =\frac{15}{2}\\\\x_{1} =7.5[/tex]

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

[tex]x_{2} =\frac{5-25}{4} \\\\x_{2} =\frac{-20}{4} \\\\x_{2} =-5[/tex]

In conclusion, the solutions are x = 7.5 and -5.

hope this helps!

Step-by-step explanation:

circumference = 2 pi r = 2 r pi

= d pi

= 6 × 3.14 = 18.84

The shopping center has a parking lot that is 210.12 feet by 155.13 feet. The perimeter of the parking lot is 730.5 ft. P = 2(l + w); P = 2(210.12 + 155.13); P = 2(365.25); P = 730.5

Answer:

Step-by-step explanation:

b is the answer i first i was confused with the other answer but its b

Answer:

No

Step-by-step explanation:

Linear equations, when graphed, look like straight lines.

Examples include:

y= mx + b

y = 3

x + 2 = 0

y + 6 = 0

y = 7x +2

We will see that the fourth statement:

"-0.3*|3 + 8x| = 0.9 has no solutions."

Is the true statement.

Here we need to see which statement regarding absolute value equations is true.

Here you can see that the fourth statement is:

-0.3*|3 + 8x| = 0.9   has no solutions.

Now, if you look at the left side of the above equation, the left side will always be negative, while the right side is positive, then the equation can't have a solution.

There is no value of x that makes that equation true, so it is true that the given equation has no solutions. This is the correct statement.

If you want to learn more about absolute values, you can read:

https://brainly.com/question/1782403

Answer:

14

Step-by-step explanation:

using the formula:

(theta/360 pi r^2)-(1/2ab(the radius)sin theta)

theta is obtained by multiplying 1/4 and 360 therfore theta is 90°

Answer: 2500

Step-by-step explanation: 250 spins times the amount of greens expected equals 2500.

Answer:

[tex]\boxed{\sf x < -3\quad \mathrm{or}\quad \:x > -1}[/tex]

Step-by-step explanation:

[tex]\sf x^2+4x+3 > \:0[/tex]

In order to solve inequality, we need to factor the left hand side. we can use the transformation [tex]ax^2+bx+c=a(x-x_1)(x-x_2)[/tex] to factor quadratic polynomials. where  x(1) & x(2)  are the solutions of the quadratic equation  ax²+bx+c=0 .

[tex]\sf x^2+4x+3=0[/tex]

Quadratic formula:-

[tex]\boxed{\sf x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

[tex]\sf a=1\\b=4\\c=3[/tex]

[tex]\sf \cfrac{-4\pm \sqrt{4^2-4\times \:1\times \:3}}{2\times \:1}[/tex] ← Calculate

[tex]\sf \sqrt{4^2-4\times \:1\times \:3}=\boxed{2}[/tex]

[tex]\sf \cfrac{-4\pm \:2}{2\times \:1}[/tex]

Now, let's Separate the solutions,

[tex]\sf x_1=\cfrac{-4+2}{2\times \:1},\:x_2=\cfrac{-4-2}{2\times \:1}[/tex]

Do the calculations,

[tex]\sf x_1=\cfrac{-4+2}{2\times \:1}=\boxed{-1}[/tex]

[tex]\sf x_2=\cfrac{-4-2}{2\times \:1}=\boxed{-3}[/tex]

[tex]\boxed{\sf x < -1\quad \mathrm{or}\quad \:x > -3}[/tex]

The absolute value function represented by the graph is:

y = -3*|x|

So the correct option is B.

In the graph, we can see a "V" shape, which belongs to the absolute value functions, but this graph opens down, so our function will be something like:

y = -a*|x - b|

The value of b is the value of x where we have the vertex, in this case, is at x = 0, so b = 0

y = -a*|x|

To get the value of 1, we ise one of the points that we can see on the graph. For example, for x = 1, we have y = -3, replacing that we get:

-3 = -a*|1| = -a

3 = a

So we can conclude that our function is:

y = -3*|x|

So the correct option is B.

If you want to learn more about absolute value functions, you can read:

https://brainly.com/question/3381225

Answer:

Ava

Step-by-step explanation:

Ava's = 100/10 = 10

Ian's = 110/20 = 5.5

option C

47.5 cm²

hope it helps...!!!

Answer:

4

Step-by-step explanation:

An object's radius is half of the object's diameter.

Solving for diameter

Solving for radius

d = r * 2

  = 2 * 2

  = 4

The diameter of Harry's table is 4 feet.

Answer:

[tex]\sf y' = \dfrac{x-7}{5}[/tex]

Explanation:

⇒ y = 5x + 7

⇒ 5x + 7 = y

⇒ 5x = y - 7

⇒ x = (y-7)/5

replace x with y

⇒ y' = (x-7)/5

Take this and solve for x

Interchange y and x

So

The inverse is

[tex]\\ \rm\dashrightarrow y^{-1}(x)=\dfrac{x-7}{5}[/tex]