The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

The Triangle Below Is Equilateral. Find The Length Of Side X In Simplest Radical Form With A Rational

Answers

Answer 1

Answer:

x = 8

Step-by-step explanation:

If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees

As we can see, we have two sets of similar right triangles

The value x faces the right angle and that makes it the hypotenuse

Also, the side measure 4 is the adjacent side to the angle 60

The trigonometric identity that relates the hypotenuse and the adjacent is the cosine

it is the ratio of the adjacent to the hypotenuse

Mathematically;

cos 60 = 4/x

x = 4/cos 60

x = 8


Related Questions

Solve -17 = for x. x =

Answers

Answer:

-17

Step-by-step explanation:

PLEASE HELP ASAP I have no idea how to solve this pls pls pls

Answers

Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

cos 30 = 12 / y

y = 12/cos 30 ≅13.86

tan 30 = opp./adj

tan30 = x / 12

x = 12 tan30 ≅6.93

[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]

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I DONT KNOW LOL PLS STOP CHEATING

PLEASE HELP THANK YOU BRANLIEST IS PROVIDED

Answers

Answer:

Solution given;

area of semi circle=½πr²=1/2×3.14×4²=25.12in²

area of rectangle ABCD=l×b=8×13=104in²

area of rectangle CEFI=l×b=3×6=18in²

Total area =25.12+104+18=147.12in²

Area of circle

πr²π(7+6-5/2)²π(8/2)²16π25.12in²

Area of centre rectangle

8(13)104in²

Area of right rectangle

3(6)18in²

Total

18+104+25.12122+25.12147.12in²

in which of the expression below does n=3 ? select all that apply.​

Answers

Answer:

B and C

if n=3 then 5ⁿ=5³=5×5×5=125

n³=3³=3×3×3=27

hope it helps :)

will you have enough room for a dance floor that is 8 m x 8 m please explain why or why not


asap ​

Answers

8mx8m will not be enough room the average room for a dance floor is 15 x 15

What is the perimeter of triangle PQR.
5 units
10 units

√5+3 √2units

2 √5 + √10 units

Answers

Answer:

Opps i am really sorry i donot know it

Answer:

Step-by-step explanation:

It's 5 units

If two triangles are congruent, then all three___and all three___are congruent.

Answers

Answer:

Angles and Sides (or sides and angles, doesn't matter).

Step-by-step explanation:

Congruent triangles all have the same angle measures and side lengths.

Please mark me as brainliest!!!!!!!

PLZ HELP I MAKE YOU BRAINILY!!!!!

Answers

Answer:

755.3

Step-by-step explanation:

The cylinder volume formula is pi*r^2*height. The r symbolizes the radius, which is 4. The height is 5. Thus, the volume of the cylinder is 5*16*pi = 80pi.

The rectangle's volume is length*width*height. The length is 6, the width is 14, and the height is 6. Therefore, the volume is 6*6*14, which is 504 in.

Now all you have to do is add the two volumes together. 80pi is around 251.3, so 251.3 + 504 = 755.3.

Answer:

I think the answer is B: 755.3^3.

Step-by-step explanation:

Don't hate me if I'm wrong please!!!

To find the volume of multiple figures, just find the volume of each of them and add them together.

Volume of rectangular prism: V = lwh; 14 * 6 * 6 = 504

Volume of cylinder: V = pi * r^2 * h; 16 * 3.14 * 5 = 251.2

504 + 251.2 = 755.2

Since this is the closest answer, the answer is B: 755.3^3.

Please mark me as brainliest!!!!!

solve the equation for y
1/2y - 21/4 = -35/4

Answers

Answer:

[tex]1/2y - 21/4 = -35/4[/tex]

[tex]1/2y = 21/4 -35/4[/tex]

[tex]1/2y = - 7/4[/tex]

[tex]y = - \frac{7}{2} [/tex]


The length of one side of a square is 3m^4. What is the area of the square? (A = I x w)
a. 3m^4
b. 6m^8
C. 9m^8
d. 6m^6

Answers

Answer: Choice C)  9m^8

============================================================

Explanation:

Each side of the square is the same, so we have length = width in this case.

Length = 3m^4

Width = 3m^4

Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8

Note how m^4*m^4 leads to m^8. We add the exponents.

The general rule is a^b*a^c = a^(b+c).

Answer: 9m^8

*Use the distributive property.

(3m^4)^2 = 3^2 * (m^4 * m^2) = 9m^8

A truck driver is hauling furniture for a moving job. He travels an average
of 40 miles per hour. It takes a total of 17 hours to reach his destination.
How many miles is it to his destination?

Answers

Answer:

680 miles

Step-by-step explanation:

Multiply the mph by the total hours to get your answer

40 × 17 = 680

Have a great day! :)

Answer:

680 Miles

Step-by-step explanation: Miles per hour  times Hours

40 times 17

Helpppp chile. I’m stuck sidnfifnfig vkfniffnf

Answers

Step-by-step explanation:

12*4 - 2*2

48 - 4

44 ft of carpet.

Find the value of x.l

Answers

Answer:

The value of x is 28°

Step-by-step explanation:

2x + 1 and 33° together forms 90° angle.

So, we need to find the angle at the 2x + 1.

--> 90° - 33°

= 57°

So, 2x + 1 gives 57°.

So, to find x :-

2x + 1 = 57°

2x = 57 - 1

2x = 56

x = [tex]\frac{56}{2}[/tex]

x = 28

Work out the area of this circle. Take pi to be 3.142 and give your answer to 1 decimal place radius is 4cm

Answers

Area formula: pi * r^2
Given pi = 3.142 and r = 4
Plug in the values
Area = 3.142 * 4^2
Area = 3.142 * 16 = 50.272
Round to nearest 1 decimal place

Solution: 50.3 cm^2

Debbie has at most $60 to spend on clothes. She wants to buy a pair of jeans for $22 and the rest on t-shirts. Write an inequality that represents the relationship between the amount of money Debbie has and how much she can spend on t-shirts.

Answers

Answer:

22+8x less then or equal to 60

Step-by-step explanation:

Debbie has at most $60 to spend

Then it will be <=60

Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.

And

Let x be the number of t-shirts

Then the cost of x t-shirts will be 8x

Putting this in to inequality will be:

The inequality to find the maximum number of t-shirts is:

The volume of a triangular prism is 42 cubic centimeters. What is
the volume of a similar prism that is twice as large as the first
prism?
A. 21 cm
C. 168 cm
B. 84 cm
D. 336 cm

Answers

Answer:

B

Step-by-step explanation:

It's needing to be doubled in size. That should be it hope it helps

PLEASE HELP WITH THIS

Answers

Answer:

a.2

b.area of one triangular faces =9m²

2×9m²18m²

Classify the following polynomials by degree and number of terms.
1. 4p3 + 2p2 + 19p - 5

Answers

Given:

The polynomial is:

[tex]4p^3+2p^2+19p-5[/tex]

To find:

The degree and number of terms.

Solution:

Degree of a polynomial: It is the highest power of the variable.

Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".

We have,

[tex]4p^3+2p^2+19p-5[/tex]

In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.

The given polynomial can be written as:

[tex]4p^3+2p^2+19p+(-5)[/tex]

So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].

Therefore, the degree of the given polynomial is 3 and the number of terms is 4.

The classification by degree and number of terms of degree 3 and 4 terms

Degree of polynomial

Given the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.

The highest power of the given polynomial is its degree. Hence the degree of the polynomial is 3

Also, the given polynomial contains 4 terms.

In conclusion, the classification by degree and number of terms of degree 3 and 4 terms

Learn more on degree of polynomial here: https://brainly.com/question/25538519

One experiment had 10 players spinning, another experiment had 100 players spinning. Which experiment is more likely to come closer to matching its theoretical probability.

Answers

Answer: Experiment with 100 players sprinting

Step-by-step explanation:

When it comes to experiments using samples to find out the effect of a variable on an entire population by finding out the representative effect on the sample, the larger the size of the sample, the better.

A larger sample comes closer to being the actual size of the population so when this larger sample is experimented upon, the results it gives will be closer to the results that would be gotten if we experimented on the entire population. The 100 player sprinting experiment would therefore come closer to matching its theoretical probability.

Please help me with my work

Answers

Answer:

If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

Step-by-step explanation:

Answer:

Down below is the answer.

Step-by-step explanation:

So, lets remember that the pythagreon theorm is only useable in right traingles.

The formula for the pythagreons theorm is A^2+B^2=C^2

So basically, if this is not a right triangle, the two sides(4ft^2 and 3ft^2) will be equivelent to 5ft^2.

Lets solve the pythagroens theorm and plug in our values:

4^2+3^2=5^2

Now lets use the square roots:

16+9=25

COmbine the two numbers:

25=25

This is correct!

So yes, this is a right triangle.

HOpe this helps! :)

Solve for the missing side. Round to the nearest tenth.
HELP MEEE PLS ):

Answers

Answer:

b² =  13.2

Step-by-step explanation:

5.8²+b²=14.4²

33.64+b²=207.36

-33.64       -33.65

b²= √173.71

b² = 13.1799089526

b² =  13.2

What is missing from the graph?

HELP I WILL GIVE BRAINIEST

Answers

Answer:

I think the title is missing from the graph

Answer:

Y-intercept maybe? since the given function doesn't have a point where x = 0

Or it could also be the x and y-axis are not labeled

I'm so sorry if this is wrong but i hope this helps!

A bag contains apps and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answers

Complete Question

A bag contains 8 apples and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answer:

Step-by-step explanation:

I would really like some help with this. If anyone is able to help me.

Answers

Answer:

are not  

Step-by-step explanation:

it is clear I can explain in the comment section ... because I don not want you to lose time

cuantos kilometros tiene tokyo

Answers

Answer:

90 km

Step-by-step explanation:

Please help

Extra hundred points and brainleist

Answers

Answer:

A

Step-by-step explanation:

It is A. The problem asks for the interval when the marlin's height is always increasing. Therefore, you want to look at the left half of the parabola, as the line is going into the peak. The right half is declining. The peak is at around 2 (on the x-axis), so you know that the ending interval number has to be 2. The marlin's height begins to go up starting at 0, so the interval is 0 <= x <= 2. Any number past two is a declining height, and the increase starts at 0.

What is the end behavior of the function f(x)=8x^5-3x^3 +8x+5

Answers

Answer:

x → +∞, y → +∞

x → -∞, y → -∞

Step-by-step explanation:

The trick to identify its behavior is to determine the degree of the function and the coefficient of the term with the highest exponent.

Negative coefficient and odd degree (x → +∞, y → -∞) (x → -∞, y → +∞).Negative coefficient and even degree (x → +∞, y → -∞) (x → -∞, y → -∞).Positive coefficient and odd degree (x → +∞, y → +∞) (x → -∞, y → -∞).Positive coefficient and even degree (x → +∞, y → +∞) (x → -∞, y → +∞).

5. In the regular decagon shown, what is the measure of angle 1? *


1 point


One Exterior Angle of a REGULAR Polygon


OneEx 4 = 360


(


18 degrees


O


36 degrees


72 degrees


0


180 degrees

Answers

The image of the hexagon is missing, so i have attached it.

Answer:

∠1 = 36°

Step-by-step explanation:

From the image attached, we can see that the polygon is regular and has 10 sides.

Formula for an interior angle of a regular polygon is;

θ = 180(n - 2)/n

Where n is the number of sides of the polygon.

Thus;

θ = 180(10 - 2)/10

θ = 144°

Now, ∠1 forms a straight line with one of the interior angles of the polygon.

Thus, θ + ∠1 will be equal to 180° because sum of angle on a straight line is 180°

Thus;

144° + ∠1 = 180°

∠1 = 180° - 144°

∠1 = 36°

Which shows how to determine the volume of the pyramid?

Answers

Answer:

d would be correct

Step-by-step explanation:

A pyramid is a polyhedron formed by connecting a polygonal base and an a a p e x. The basic formula for pyramid volume is the same as for a cone: volume = (1/3) times  base area times height, where height is the height from the base to the a p e x. That formula is working for any type of base polygon and oblique and right pyramids.

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