MATHEMATICS HIGH SCHOOL

What is 1 divided by tan(x) ?

Answers

Answer 1
Answer: Your answer:

1/tanx = 1/(sinx/cosx) = cosx/sinx = cotx

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Please help me!! 1. In the equation y = 25x, what is the constant of variation?A. 25B. 1/25C. ZeroD. Undefined2. In the equation of y = 25x, the number 25 also represents what? A Rate of changeB the y - interceptC the x-interceptIn the equation y = -4x, what is the constant of variation?A. 4B. zeroC. -4D. undefined4. The value of y varies directly with x and the constant of variation is 5. What is the value of x when y = 100? *25954205. The value of y varies directly with x and the constant of variation is 13. What is the value of y when x = 6? *A. 78B. 2.16C. 0.46D. zeroThe height of a stack of boxes varies directly with the number of boxes. A stack of 10 boxes is the 20 feet high. How tall is a stack of 18 boxes? *9 feet5 feet36 feet40 feetPerry's pay is in direct variation to the hours she works. Perry earns $84 for 14 hours. How much will she earn for 24 hours? *A. $ 144B. $120C. $2, 016D. $336Submit
5. Is the sequence arithmetic? If so, identify the common difference. 14, 21, 42, 77, ... yes; 7 yes; –7 yes; 14 no 6. What is the 12th term of the sequence 10, 6, 2, …? –16 –24 –34 –38 7. Find the missing term of the arithmetic sequence 22, ___ , 34, ... 46 16 28 40
Thirty-five percent of 160 is ??
What does the fundamental theorem of algebra and its corollary tell you about the roots of the polynomial equation p(x)=0 where p(x) has degree n?
At Pizza Hut they have exponential pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. If Cardona ordered the exponential pizza and was charged $29.25, how many toppings were on his pizza? Write an equation and solve it.

7. Find the circumference of a circle if the area is 300 square centimeters. A. 84.74 cm
B. 9.77 cm
C. 56.25 cm
D. 61.38 cm

Answers

So the formula for a circle is Pie * r^2
If you divide 300 by pie and then Square root it you would get your radius
And once you have the radius you would use the equation of 2pie * r to find the circumfrence. 
Answer is D. 61.38

Answer:

the correct answer is 61.38 cm, which is D


Step-by-step explanation:

A sphere has a radius of 5cm what is the volume of the sphere

Answers

Answer:

(500)/(3)\pi

Step-by-step explanation:

The equation for Volume of a Sphere is:

V=(4)/(3)\pi r^3

We can plug in the given radius into the equation:

V=(4)/(3)\pi5^3=(4)/(3)\pi125=(500)/(3)\pi

Two angles are supplementary. The measure of the larger angle is 18 less than twice the measure of the smaller angle. Find the measure of the angles. Show your work.

Answers

Answer:

Smaller angle = 66 degrees

Larger angle = 114 degrees

Step-by-step explanation:

Smaller angle: x

Larger angle: 2x - 18

x + 2x - 18 = 180 degrees

3x = 180 + 18

x = 198/3

x = 66

180 - 66 = 114

Final answer:

The measure of the smaller angle is 66 degrees and the measure of the larger angle is 114 degrees.

Explanation:

Let's represent the measure of the smaller angle as x. According to the problem, the larger angle is 18 less than twice the measure of the smaller angle, so we can represent the larger angle as 2x - 18.

Since the two angles are supplementary, their sum is 180 degrees:

x + (2x - 18) = 180

Solving this equation, we get:

3x - 18 = 180

3x = 198

x = 66

Therefore, the measure of the smaller angle is 66 degrees and the measure of the larger angle is 2(66) - 18 = 114 degrees.

Learn more about Angles here:

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Julian and stacey needed 10 liters of water to fill a tank. Stacey filled the tank with 3 11/12 liters of water. Julian poured 1 2/5 liters less than Stacey into the tank. How much more water is still needed to fill the tank?

Answers

The amount of water Julian and Stacey needed to fill the tank = 10 liters
Amount of water filled by Stacey individually = 3 11/12 liters
                                                                       = 47/12 liters
It is given in the question that Julian poured 12/5 liters less than Stacey.
Then Amount of water filled by Julian = (47/12) - (12/5) liters
                                                            = (235 - 144)/60
                                                             = 91/60
So Julian filled 91/60 liters of water in the tank.
Amount of water still needed to fill the tank = 10 - [(47/12) - (91/60)]
                                                                     = 10 - [(235 - 91)/60]
                                                                     = 10 - (144/60)
                                                                     = 10 - 12/5
                                                                     = (50 - 12)/5
                                                                     = 38/5
                                                                     = 7 3/5
so 7 3/5 liters of water is still required to fill the tank.

Answer:

20

Step-by-step explanation:

2. What is the solution to the equation? If necessary, round your answer to the nearest tenth. A. 3x^2 = 48 B. x^2 – 2 = 12

Answers

The first one is 4, and the second one is 3.7

The product of two numbers is 450. the first number is half the second number. which equation can be used to find x, the greater number? = 450 225x2 = 0 x2 = 450 450x2 = 0

Answers

Answer:

let the two number be x and y.

Given: the product of two numbers is 450.

then:  x* y =450                        ......[1]

Also from the given condition that; the first number is half the second number. Also, x>y.

i.e, y=(1)/(2)x

Substitute this in equation [1];

x * (1)/(2)x =450

or

(1)/(2)x^2 = 450                  [∴x^a * x^b =x^(a+b)]

Multiply both sides by 2; we get

x^2 =450 * 2

or

x^2=900

or

x=√(900) =30

Now, substitute this x value in [1], to solve for y;

30 * y=450

Divide by 30 from both the sides, we get;

y = (450)/(30)=15

Therefore, the equation (1)/(2)x^2 = 450 which can be used to find the value of x.

The greater number is x = 30.

The equation is used to find x is;

\rm x^2=900

The value of the greater number x is 30.

Given

The product of the two numbers is 450.

The first number is half the second number.

Let the first number be x and the second number be y.

The product of the two numbers is 450.

\rm x* y = 450

The first number is half the second number.

\rm x = (1)/(2) y

Substitute the value of x in equation 1 from equation 2

\rm x * y = 450\n\nx * (1)/(2)x = 450\n\nx^2 = 450 * 2\n\nx^2=900\n\nx=30

Substitute the value of x in equation 1

\rm x* y=450\n\n30 * y = 450\n\ny = (450)/(30)\n\ny = 15

Hence, the value of the greater number x is 30.

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