If the point(x,√3/3)is on the unit circle, what is x?

Answers

Answer 1

Answer: The equation of the unit circle:
$x^2+y^2=1$

$(x,y)=(x, (√(3))/(3)) \n \nx^2+((√(3))/(3))^2=1 \nx^2+(3)/(9)=1 \nx^2+(1)/(3)=1 \nx^2=1-(1)/(3) \nx^2=(3)/(3)-(1)/(3) \nx^2=(2)/(3) \nx=\pm \sqrt{(2)/(3)} \nx=\pm (√(2))/(√(3)) \nx=\pm (√(2) * √(3))/(√(3) * √(3)) \nx=\pm (√(6))/(3)$

x is equal to $-(√(6))/(3)$ or $(√(6))/(3)$ .

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Factor: 21x^3+6x^2+7x+2 I will give Brainliest to the first person :) please show all work
Find the area of the parallelogram by composing into rectangles or decomposing into triangles or other shapes as needed. 8 yd 6 yd 15 yd10 yd
Two positive integers are 3 units apart on a number line. Their product is 108.Which equation can be used to solve for m, the greater integer? A.m(m – 3) = 108 B.m(m + 3) = 108 C.(m + 3)(m – 3) = 108 D.(m – 12)(m – 9) = 108
A certain brand of coffee comes in two sizes. A 10.15-ounce package costs 2.98. A 27.8 -ounce package costs 8.99. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.
Find the quotient of negative 21 divided by negative 3

Given the two triangles are similar, what are the values of q and t? Round to the nearest hundredth.

Answers

Answer:

t = 7.5 cm , q= 7.5 cm.

Step-by-step explanation:

Given : Two similar triangle .

To find : what are the values of q and t ,Round to the nearest hundredth.

Solution : We have given Two similar triangle GHI and DEF.

Property of two similar triangle : The ratios of the lengths of their corresponding sides are equal.

Corresponding sides HI ≅ EF and GI≅DF. GH≅DE

HI = t , EF = 4.5 , GI = 12.5 , DF = q , Gh = 10 , DE = 6

$(t)/(4.5) = (10)/(6)$ .

On cross multiplication

t * 6 = 4.5 * 10.

t * 6 = 45 .

On dividing both sides by 6

t = 7.5 cm.

Now, for q

$(q)/(12.5) = (6)/(10)$ .

On cross multiplication

q * 10 = 12.5 * 6.

q * 10 = 75.0

On dividing both sides by 10

q= 7.5 cm.

Therefore, t = 7.5 cm , q= 7.5 cm.

Set up proportions. 6/10 = 4.5/t. Cross multiply 6t = 45. Divide both sides of the equation by 6 and get t = 7.5.
Next proportion is q/12.5 = 6/10. Cross multiply 10q = 750. Divide both sides of the equation by 10 and get q = 7,5.

The product of (3 + 2i) and a complex number is (17 + 7i). the complex number is?

Answers

Hello,

(3+2i)*x=17+7i
==>x=(17+7i)/(3+2i)
==>x=(17+7i)(3-2i)/((3+2i)(3-2i))
==>x=(65-13i)/13
==>x=5-i

At the holiday valley ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, how many skis and snowboards were rented?

Answers

Answer:

$18$ skis and $10$ snowboards were rented.

Step-by-step explanation:

Let the number of skis rented be $x$ and the number of snowboards rented be $y$ .

If a total of $28$ people rented on a certain day, then the total number of skis and snowboards rented that particular day is also $28$ .

This gives us the equation

$x+y=28...eqn(1)$ .

If skis cost $ $16$ , then $x$ number of skis cost $ $16x$ .

If snowboards cost $ $19$ , then $y$ number of snowboards cost $ $19y$ .

The total cost will give us another equation,

$16x+19y=478...eqn(2)$

From equation (1),

$y=28-x...eqn(3)$ .

We put equation (3) into equation (2) to get,

$16x+19(28-x)=478$

We expand the brackets to obtain,

$16x+532-19x=478$

We group like terms to get,

$16x-19x=478-532$

This implies that,

$-3x=-54$

We divide both sides by $-3$ to get,

$x=18$

We put $x=18$ into equation (3) to get,

$y=28-18$

$y=10$

Therefore $18$ skis and $10$ snowboards were rented.

Final answer:

To solve this problem, you can set up a system of equations where one equation represents the total number of skis and snowboards rented, and the other represents the total cost of those rentals. By solving this system, you can determine the number of skis and snowboards rented.

Explanation:

This problem is a classic example of a system of linear equations. Let's denote the number of skis rented as x and the number of snowboards rented as y. From the problem, we know that:

x + y = 28 (The total number of skis and snowboards rented is 28)
16x + 19y = 478 (The total income from skis and snowboard rentals is $478)

By solving these two equations, we can find the values of x and y which represent the number of skis and snowboards rented respectively.

Learn more about System of linear equations here:

brainly.com/question/20379472

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What 2 numbers multiply to 60 and add up to 22

Answers

1*60 | 60-1 =59
2*30 | 30-2 =28
3*20 | 20+3 = 23
4*15 | 15+4 =19
5*12 | 12+5 =17
6*10 | 10+6 =16
Not possible. You can get a 23. But not 22.

The measure of an angle is seventeen times the measure of a supplementary angle. What is the measure of each angle?

Answers

The measure of each angle will be 10° and 170°.

A supplementary angle refers to an angle that has the sum to be equal to 180°.

Let the small angle be represented by x

Therefore, the big angle will be: = 17 × x = 17x

Therefore, the value of both angles will be:

x + 17x = 180

18x = 180

Divide both side by 18

18x/18 = 180/18

x = 10

Therefore, the bigger angle will be:

17x = 17 × 10 = 170

Therefore, the angles are 10° and 170°

Read related link on:

brainly.com/question/20286219

supplementary angles are two angles that when add equal 180 degrees.
The supplement of an angle is 180 - n.

n = 17(180 - n)
n = 3060 - 17n
n + 17n = 3060
18n = 3060
n = 3060/18
n = 170

so the unknown angle (n) = 170 degrees and its supplement = (180 - 170 = 10)......= 10 degrees.

How do i do problems that have fractions and a negative or a zero exponent with it?

Answers

Remember these:
$\left((a)/(b)\right)^(-c)=\left((b)/(a)\right)^(c)\n\na^0=1$

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