Mathematics College

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer 1

Answer:

[tex] x = \frac{2*\sqrt{3}}{3} [/tex]

Step-by-step explanation:

Reference angle = 30°

Opposite side = x

Adjacent side = 2

Apply the tan trigonometric function, thus:

[tex] tan (30) = \frac{opp}{adj} [/tex]

[tex] tan (30) = \frac{x}{2} [/tex]

[tex] 2 * tan (30) = x [/tex]

[tex] 2 * \frac{1}{sqrt{3}} = x [/tex] (tan 30 = 1/√3)

[tex] \frac{2}{sqrt{3}} = x [/tex]

Rationalize

[tex] \frac{2* \sqrt{3}}{sqrt{3} * \sqrt{3}} = x [/tex]

[tex] \frac{2*\sqrt{3}}{3} = x [/tex]

Related Questions

A closed cube has side lengths of 5. What is the total surface area of the cube?

Answers

Answer: I'm pretty sure it's 150.

Step-by-step explanation:

Find the missing base

Answers

Parallelogram area = height * base
base = Parallelogram area / height
base = 20 / 4
base = 5

Function tables are?

Answers

Answer:

a table that describes a function by displaying inputs and corresponding outputs in tabular form

Step-by-step explanation:

Find the surface area of this rectangular prism: Don't forget to show the unit of measure.

Answers

Answer:

jejdujehehtjejehevgshfjrjehrhdb

Step-by-step explanation:

jsjdrbhrry4hebzbs d rhyeush r dbru4hu4 dbb

please help meeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

C and G

Step-by-step explanation:

not completely sure if this is correct but i think so lol

so 10% of 200 is 20 because 200*.10=20 , so your first payment would be 20 dollars.

your second payment is 25% of 200 which is 50 because 200*.25=50

adding those two payments together you get 70 dollars , meaning that you need 130 more dollars.

65% of 200 is 130 dollars , so I believe that C and G would be your correct answers

when a two digit number is multiplied by its unit digits, the product is 336. When the digits are reversed and the new number is multiplied by its new unit digits, the product is 325.If the sum of the digits is 11, find the original two digit number

Answers

9514 1404 393

Answer:

Step-by-step explanation:

In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.

Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.

So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.

Check

56 × 6 = 336

65 × 5 = 325

5 + 6 = 11

_____

* Additional comment

These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. 376² = 141376. Similarly, the 3-digit automorph ending in 5 is 625. 625² = 390625

what is the percent change of 55 to 50

Answers

105% hope this is helpful!

72 paper clips decreased by 63% paper clips

Answers

Answer:26

Step-by-step explanation:

got a decimal but you cant have a decimal of a paper clip

Answer:

72 x 63% = 45.36 paper clips

or; 72 x .63 = 45.36 paper clips

either one will work...

Step-by-step explanation:

have a good day

Find the area occupied by a triangular window of length 45 cm and height 50
cm.

Answers

Answer:

In a triangular window there is length and breadth???

You are a farmer who is putting away bales of hay for the winter months. Each bale is 3 feet long, 2 feet wide, and 1.5 feet thick. The bales of hay are stacked in storage bins 12 feet long, 8 feet wide, and 6 feet deep.

What is the minimum number of bins needed for 350 bales of hay?

4
5
6
18
64

Answers

Answer:

36 Bins are needed .

Step-by-step explanation:

3×2×1.5/12×8×6

= 36

Suppose the restaurant’s description of the weights of its hamburgers is true. The dotplot below
shows the distribution of sample means from 100 simulated SRSs of size n = 5 from a normally
distributed population with µ = 8 ounces and σ = 0.54 ounces.
(b) Would it be unusual to get a sample mean of 7.6 oz or less in a sample of size n = 5 from this
population? Explain.
(c) Based on your answer to part (b), is there convincing evidence that the mean weight of
hamburgers at this restaurant is less than 8 oz? Explain.

Answers

Answer:

Step-by-step explanation:

It would be unusual because there are only one 7.6 samples out of a total of 100 samples.

I NEED HELP ASAP
!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the variables are f, g, h

answer is D

Answer:

d (last choice)

Step-by-step explanation:

Someone please help!! Please explain will mark brainliest

Answers

a.) 1/2x
B.) x + 8
C.) 2x+1
D.) x + 1/2x
E.) x-3
F.) (x+2)^2 Where ^2 means squared...
G.) x^2 + 2
H.) 5x

ILL GIVE A BRAINLIEST TO WHO CAN SOLVE THIS HURRY I NEED IT TURNED IN IN 10 MINS similar to the others that have been answered but different numbers.

A billiard ball is struck by a cue. It travels 120 cm before ricocheting off a rail and traveling another 100 cm into a corner pocket. The angle between the path as the
ball approaches the rail and the path after it strikes the rail is 40 degrees. How far is
the corner pocket from where the cue initially struck the ball? Round your answer to the nearest centimeter.

Answers

The angle between incident and reflection is 45 degrees not 90 degrees, so we need to use the cosine rule:

a^2 = 100^2 + 120^2 - 2*100*120*cos(45°) where a is the distance between pocket and initial strike.

so a = sqrt(100^2 + 120^2 - 2*100*120*cos(45°))

a = 86 cm (to the nearest cm).

i hope this helps !

2/5 ÷ 3 4/7 = ???????

Answers

0.112

di po ako sure pero sana po makatulong

For which points is the y-coordinate greater than -3

Answers

Answer:

d,c,a

Step-by-step explanation:

guess it helps

What is the area of the quadrilateral?

Answers

Answer:

area=w h

Step-by-step explanation:

Pls pls help with this math

Answers

Answer:

7, -1

Step-by-step explanation:

x^2 - 6x + 7 = 0

(x - 7)(x + 1) = 0

==> x = 7, x = -1

Answer:

The answer would be 7,-1

Factor the polynomial completely.

9g^2 - 30gh + 25h^2

Answers

Answer:

Step-by-step explanation:

It's a perfect square.

It factors into (3g - 5h)^2

or (3g - 5h)(3g - 5h)

Make sure it is correctly factored.

3g*3g = 9g^2

3g * - 5h = - 15gh

-5h*3g = - 15gh

5h*5h = 25h^2

These four terms add to 9g^2 - 15gh - 15gh + 25h^2 = 9g^2 - 30gh + 25h^2 which is exactly what you started with.

It cost $2,845.80 for 3 people to go on a sightseeing vacation to Washington DC. How much did it cost in dollars per person?

Answers

It will be LESS
than 2,845.80

Answer:

It costs $948.60 per person

Step-by-step explanation:

When you divide 2,845.80 by 3 we get 948.6.

I hope this helps you in any way:)

Edie is trying to decide which printing service to use to publish her neighborhood newsletter . The first printer charges a $5.00 fee plus $ 0.25 per full color page, while the second charges a $10 fee plus $0.20 per full color page . Over what range of pages will Edie pay less by using the first printer ? A. Less than 100 pages B. More than 100 pages C. Less than 50 pages D. More than 50 pages E. More than 100 pages but less than 200 pages

Answers

Answer:

A) less than 100 pages

Step-by-step explanation:

p = # pages

Printer 1:

y = .25p + 5

Printer 2:

y = .20p + 10

.25p + 5 < .20p + 10

.05p + 5 < 10

.05p < 5

p < 5/.05

p < 100

8(4x - 1) - 12x = 11(2x-6)

Answers

8(4x - 1) - 12x = 11(2x-6)
Distribute
8(4x-1) -12x=11(2x-6)
32x-8- 12x =11 (2x-6)
Combine like terms
32x-8-12x=11(2x-6)
20x-8 =11 (2x-6)
Distribute
20x -8 =22x-66
Add 8 to both sides of the equation
20x-8+8=22x-66 + 8
Simplify
20x =22x -58

Subtract 22x from both sides of the equation
20x -22x =22x-58 -22x
Simplify
-2x=-58

Divide both sides of the equation by the same term
-2x/-2=-58/-2
Simplify
X=29
Solution
X=29

2.
What type of a quadrilateral is defined by the vertices (-5, 7), (2,6), (5, -3), (-4, 0)?

a Kite
b Rectangle
C Rhombus
d Parallelogram

Answers

the answer is a kite

How do you solve (w+4)6

Answers

You can solve (w + 4)*6 by setting them equal to zero

(w + 4)*6 = 0

6w + 24 = 0

6w = -24

w = -4

Answer:

(w+4)6

=6w+24

6w=-24

w=-24/6

w=-4

Manuel paid off 88% of his debt. He originally owed $$$1950. How much does Manuel owe now?

Answers

Answer:

234

Step-by-step explanation:

234 because you have to do 1950 - 88% which will get you 234$

Which of the following gives 54 as a product of its prime factors?
) 6x9
2x3 x 9
2x 3 x 3 x 3

Answers

Answer:

The last one, 2x3x3x3

Step-by-step explanation:

Quizziz help please 9th grade

Answers

the answer is the one on the far right (x-1)(x-6)

what is 987/12 equal

Answers

Answer:

it's 82.25

Step-by-step explanation:

have a good day

Can someone help PLSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

Mean = sum of all observed values / sum of frequency

Mean= (1*2 +2*2 + 3*2 + 4*1 + 5*2 + 6*1) / (2+2+2+1+2+1)

Mean = 32 / 10

Mean = 3.2

What is the solution to the equation?
5=2/5a
O2
O43/5
O121/2
O25

Answers

Answer:

5=2/5a

25a=2

a=2/25 it must be ANSWER

Step-by-step explanation:

C is your answer, 12 1/2

5= 2/5a

Multiply the whole thing by 5 to get rid of the fraction

25 = 2a
a = 12 1/2

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