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

Find The Length Of Side X In Simplest Radical Form With A Rational Denominator.

Answers

Answer 1

Answer: 10

Step-by-step explanation:

a 30° - 60° - 90° triangle has a side ratio of 1:√3: 2, meaning the side length across from the 30° is 1, the side length across from 60° is √3, and the side length across from 90° is 2

if you multiple the 1 * 5 = 5 (the 5 side length in the diagram), then also multiple (5 * √3 = 5√3) and (2 * 5 = 10)

since you're looking for the hypotenuse (the length across the 90°), the answer would be 10 (2 * 5 = 10)

*this method can work for any 30° - 60° - 90° triangle

you can also use trig:

sin (30°) = [tex]\frac{5}{x}[/tex] (now just solve for x)

x * sin (30°) = 5

x = [tex]\frac{5}{sin(30)}[/tex]

x = [tex]\frac{5}{1/2}[/tex] ( because sin (30°) = 1/2 )

x = 5 * [tex]\frac{2}{1}[/tex] = 10

*either method works!


Related Questions

In ARST, the measure of ZT=90°, the measure of ZR=39°, and TR = 55 feet.
Find the length of ST to the nearest tenth of a foot.

Answers

Answer:

ST = 44.5 feet

Step-by-step explanation:

sing SOH CAH TOA to solve the problem;

Given

m<T  = 90

m<R = 39 degrees

TR = 55feet

Required

ST = opposite to m<R

TR is the adjacent

tan theta = opp/adj

tan m<R = ST/TR

tan 39 = ST/55

ST = 55tan39

ST  = 55*0.8098

ST = 44.5 feet

30 POINTS !!

Which dimensions can create only one unique triangle?

three angles measuring 75 degrees, 45 degrees, and 50 degrees

three sides measuring 14 m, 11 m, and 18 m

three angles measuring 40 degrees, 50 degrees, and 60 degrees

three sides measuring 3 cm, 4 cm, and 8 cm



What is the circumference of the circle? Use StartFraction 22 over 7 EndFraction for Pi.


A circle with radius 21 centimeters.

44 cm

66 cm

132 cm

154 cm



Figure FGHJ is shown below.

Figure F G H J has 4 sides. Sides F J and G H are congruent and parallel, and sides G F and H J are congruent and parallel. Angles G and J are 130 degrees.


Which names accurately describe figure FGHJ? Select two options.

parallelogram

quadrilateral

rectangle

rhombus

trapezoid

Answers

Answer:

1. 14m, 11, 18m

2. 132 (rounded from 131.946)

3. Quadrilateral (duh it has 4 sides) and a rhombus?

Step-by-step explanation:

1 a unique triangle is a triangle with side lengths that are ALMOST exactly like a triangle. I used the pyragothem theory (a^2 + b^2 equals c^2) and this one was soo close to 18 (17.8)

2 the equation for the circumference of a circle is C=dpi. the radius is half of the diameter so 21 time 2 is 42 then multi[ply by pi.

3 is definitely already a quadrilateral (all of them have 4 sides) and the only shade i can think of that can have a 130 degrees for 2 angles would be a longgg rhombus ( or diamond)

Which quantity makes the equation true?
x + 3x + _______ = 7x

Answers

Answer:

Step-by-step explanation:

C)  3X

Answer: C. 3x

Step-by-step explanation:

Since x and 3x both have x, you can add them together to get 4x (if there is x by itself, it really means that there is one of it, so it would be 1x.)

Then, you subtract 7x by 4x, which gives you the answer, 3x. You could also solving it by asking yourself: What number plus 4x equals 7x, which would give you 3x.

What is the area of the triangle?
Been struggling for a minute please help

Answers

Answer:

4

Step-by-step explanation:

I used a calculator

Answer:

area of triangle=1/2×base×height

area of triangle =1/2×4×2

area lf triangle =4 unit²

What is the solution to the equation 2(x + 3)2 = 98?

Answers

Answer: if you're solving by x it would be x=43/2

Step-by-step explanation:

A window washer cleaned 32 windows in 2 hours at this rate how many windows did he clean in 6 hours?

Answers

Answer:

96 windows

Step-by-step explanation:

[tex]\frac{32}{2} =\frac{x}{6} \\\\2x=192\\x=96[/tex]

Answer:

96

Step-by-step explanation:

Can anyone help me with this math problem plss?

Answers

Answer:

14/24 ( simplified = 7/12)

Step-by-step explanation:

to find this we multiply the fractions 2/3 and 7/8

7/8 x 2/3 = 14/24

So Shannon ate 14/24 lb

You can simplify to = 7/12

Plssssssssssz help I need the answers plsssss

Answers

About 1.3 pers second
1.3 times 60 is 78. So about 78 yards per minute.

Plz HELP!!!!!! NO LINKS!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

The dot at A is an outlier because it is far outlying the skewed pattern of the data, and is basically isolated from the rest of the data.

2/5y + 1/2y = ???
help please.

Answers

Answer:

9/10y

Step-by-step explanation:

Somewhat inconclusive hope this helps!

Answer:

[tex]\frac{9}{10} y[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}y +\frac{1}{2} y\\\\\frac{4}{10}y +\frac{5}{10} y\\\\\frac{9}{10} y[/tex]

What is the solution of the system of equations below?
y + 2x = 2
y + 4x = 0
F. (1, -4) G. (-1,-4) H. (-1, 4) I. (1, 4)

Answers

G

Solution:

Here,

y+2x=2

y=2-2x

Now,

Putting the value of y

y+4x=0

2-2x+4x=0

2+2x=0

2(1+x)=0

1+x=0

x=-1

Then,

Putting the value of x

y=2x-2

=2×-1-2

=-2-2

=-4

Hence,the solution is (-1,-4)

suppose f(x)=x^2 -8 evaluate f(2)-f(3)​

Answers

Answer:

f(2)= -4 f(3)= 1

Step-by-step explanation:

Based on the slopes of the side of the quadrilateral. Is this shape a trapezoid?​

Answers

the slopes of the sides do not matter. It's the fact that AD and BC are parallel and AB and DC are NOT parallel that determines it to be a trapezoid.

Answer:

Yes

Step-by-step explanation:

I believe it would be :) sorry if it's wrong I'm just a 8th grader

What is the minimum y-value after which the exponential function will always be greater than the linear function? y = 1 y = 3 y = 4 y = 5

Answers

Answer:

y = 4.

Step-by-step explanation:

I suppose that this question relates to the image that can be seen below.

In the image, the green line represents the exponential function and the blue line represents the linear function.

The y-value after which the exponential function will always be greater than the linear function is the y-value where bot graphs intersect, such that after that point, the blue line starts increasing fast, and is always above the green line.

In this case, this point is the second intersection, and we can see that this intersection happens in the point (2, 4)

Remember that the usual notation for points is (x, y).

Then the y-value after which the exponential function will always be greater than the linear function is y = 4.

Giving brainlist to whoever answers

Answers

The answer would be X=28

there are 15 students in a guitar club. 40% of them bought a club t shirt. how many t shirts were purchased pls help me asapp

Answers

Answer:

37.5, 3/8

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

15 students x 0.4 (equivalent to 40%) = 6

OR

15/100% = 0.15 (to find one percent)

0.15 = 1%

0.15 x 40% = 6 (to find 40%)

Please help me please

Answers

Answer:

92

Step-by-step explanation:

92+88= 180 all suplementtary angles =180

Answer:

92

Step-by-step explanation:

∠X And ∠Y are supplementary.

• Measure of ∠Y = 88°.

• We have to find measure of ∠X.

• Sum of 2 supplementary angles is always = 180°.

  X+Y=180

X+88=180

X=180-88

X=92

Geometry help please. What is the perimeter of the larger square?

Answers

Answer:

Step-by-step explanation:

ratio of sides=8/3

perimeter of larger square=8/3 ×12=32 mm

Paul buys $28 worth of groceries at the store. The tax on the groceries is 8% how much tax or Paul pay

Answers

Answer:

Before Tax Price: $28.00

Sale Tax: 8.00% or $2.24

After Tax Price: $30.24

heart if it helped you

Find the slope of the line of best fit shown below.

Answers

Answer:

the slope of the line is .5

Step-by-step explanation:

start at point a and rise 1 and run 2 to point d which makes the slope 1/2

What is the expression for the perimeter of this rectangle.

Answers

Answer: y^2 -5 + y^2 -5 + 3y^2+7y+8 + 3y^2+7y+8

Step-by-step explanation: The order doesn't matter but... its just the sides added up together. Its a rectangle so the opposites are equal. You were given 2 sides and thats all you need, just repeat it. L plus l plus w plus w is there.

Answer:

P= 8y^2+14y+6

Step-by-step explanation:

Multiply the given expressions by 2.

Then add your two products together.

Aidan rides his motorcycle at an average speed of 20 meters/second for 500 seconds, how far did he ride?

Answers

Answer:

[tex]10000[/tex] meters

Step-by-step explanation:

The formula for finding distance is ([tex](speed)*(time)=(distance)[/tex]). Substitute in the given values and solve to find the distance,

[tex](20)*(500)=10000[/tex]

for brainiest:):):)):)

Answers

Answer:

1)50.24 2) 254.34

Step-by-step explanation:

What am I doing right

Answers

Although your -3 point is correct you need to graph the other point on (3,1) rather than (3,0)
so change that.

what is 2/3 ÷ 4/5

2/3
5/6
1 1/5
3 1/3​

Answers

Answer:

5/6

Step-by-step explanation:

mental math

what is the measure of QRS in this diagram?
A. 48
B. 42
C. 47
D. 41
don’t have much time help needed

Answers

Answer:

the answer is d 41

Step-by-step explanation:

A shirt sale for 10$ after discount 20% find the original price

Answers

Answer:

$12.50

Step-by-step explanation:

100%-20% -> $10

80% -> $10

100% -> [tex]\frac{100}{80}[/tex] × $10 = $12.50

Answer:

The original price was $12

Asking this again because the person who answered the last one gave the incorrect answer. If 7 iced cupcakes cost $21, then how much would 5 iced cupcakes cost?

Answers

Answer:

$15 for 5 cupcakes

how do you write an equation for the graph of y=cos x translated up 2 units and left pi units

Answers

The answer is:

y = cos(x - pi) + 2

Step-by-step explanation:

how do you write an equation for the graph of y=cos x translated up 2 units and left pi units

BRAINIEST TO WHIVER RIGHT HELP

Answers

The least value is the smallest number in a set. So in this case it would be 3 since the first marker marks 3 on the box plot.
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