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

I need help on this math question, coordinate planes.

Answers

Answer:

where is the question?

Step-by-step explanation:

the picture is all black.

Answer:

4840 yards squared!

Select all ordered pairs that satisfy the function y= -1/2x + 4 a) (-1, 3&1/2) b) (1, 3&1/2) c) (2&1/2, 3) d) (2, 3)

Answers

Answer:

The correct options are:

Option b) (1, 3 + 1/2)

Option d) (2,3)

Step-by-step explanation:

Suppose that we have a function:

y = f(x)

A ordered pair (a, b) satisfies this function if:

b = f(a).

In this case, the function is:

y = -(1/2)*x + 4

Let's try with each one of the options:

a) (-1, 3 + 1/2)

Replacing these values we get:

3 + 1/2 = -(1/2)*-1 + 4

3 + 1/2 = 1/2 + 4

3 + 1/2 = 4 + 1/2

This is false, then the point (-1, 3 + 1/2) does not satisfy the function.

b) (1, 3 + 1/2)

Replacing these values we get:

3 + 1/2 = -(1/2)*1 + 4

3 + 1/2 = 4 - 1/2 = (3 + 1) - 1/2 = 3 + (1 - 1/2) = 3 + 1/2

3 + 1/2 = 3 + 1/2

This ordered pair satisfies the function.

c) (2&1/2, 3)

Replacing these values we get:

3 = (-1/2)*(2 + 1/2) + 4

3 = -(1/2)*2 - (1/2)*(1/2) + 4

3 = -1 - 1/4 + 4

3 = 3 - 1/4

This is false, then the point (2 + 1/2, 3) does not satisfy the function.

d) (2, 3)

Replacing these values in the function we get:

3 = -(1/2)*2 + 4

3 = - 1 + 4

3 = 3

This is true, then (2, 3) satisfies the function.

How many square feet of the carpet will the Smiths use for their family room.

Answers

D. 330 ft2
Explanation:
Find the area of the whole carpet first:
Multiply 24 x 14 = 336 square feet. I got the length 24 cause look at the measurement at the top, its 20 and 4 so add those together.

Then find the area of that one corner of the carpet that will be excluded:
The figure it makes is a triangle, so this is how u find the area:
3 x 4 divided by 2 = 6 square feet.

Minus 336 - 6= 330
Cha.t me if u have any questions.
I believe in my answer, trust me this is easy geometry-
Mark me brainliest!

provide a correct answer to this problem quickly please.

Answers

The second option I think

60 people were asked the colour of their car

Answers

What’s the question you want answered

PLEASE HELP! 100 PTS
What is the angle of elevation that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.

I know the degree but I need to know how the degree was found. I am using the U.S Cellular Field, aka the Guaranteed Rate Field in Chicago, IL.
The distance from the home plate to the center-field fence is 400 ft. The height of the center field fence is 8 ft. The given angle of elevation is 0.86 degrees.

Answers

C is the point on the ground where the person is standing and which is making the angle of elevation of 60° AB (Height) = ? Example 2 :Height of tree is 8.65m, the angle of elevation of the top of tree is 60° find the distance at which the person is standing away from tree ? Solution : Let AB is the tree. B is the foot and A is the top of tree.

AB=8ft

2 ft above

AB=10ftBC=400ft

Now

Angle be x

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]

[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]

[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]

[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]

[tex]\\ \rm\Rrightarrow X=1.432°[/tex]

An isosceles triangle has two angles that measure 37 degrees. What is the measure of the third angle

Answers

Answer:

106°

Step-by-step explanation:

isosceles triangle has two sides equal meaning two sides measure 37 so

37+37=74

180-74=106

(total measurement of a triangle is 180)

Calculate the area of the region bounded by y=6x and y=6x^2. And find the volume of the solid generated by revolving the region about the x-axis

Answers

Answer:

Hence, the Area is [tex]\frac{24}{5} \;\text {and the Volume of the bounded region is } \frac{24\pi}{5}[/tex]

Step-by-step explanation:

Concept :

Area of the region bounded by two curve :

[tex]\int_a^b(R^2-r^2)dx[/tex]

volume of the solid generated by revolving the region about the x-axis is :

 [tex]\int_a^b\pi(R^2-r^2)dx[/tex]   where [tex]R[/tex] is long radius of bounded region from x-axis and [tex]r[/tex] is short radius of bounded region from x-axis.

Given :

[tex]y=6x[/tex] and [tex]y=6x^2[/tex]

To find :

Area of the region bounded by [tex]y=6x[/tex] and [tex]y=6x^2[/tex] and volume of the solid generated by revolving the region about the x-axis.

Explanation :

[tex]\because y=6x\;\text{and}\;y=6x^2[/tex]

[tex]\therefore 6x=6x^2\\\Rightarrow x=1[/tex]

Area of the region bounded by [tex]y=6x[/tex] and [tex]y=6x^2[/tex] is :

     [tex]\int_a^b(R^2-r^2)dx=\int_0^1((6x)^2-(6x^2)^2)dx\\[/tex]

[tex]\Rightarrow \int_0^1((6x)^2-(6x^2)^2)dx=\int_0^1(36x^2-36x^4)dx\\\Rightarrow \int_0^1((6x)^2-(6x^2)^2)dx=36\int_0^1(x^2-x^4)dx\\\Rightarrow \int_0^1((6x)^2-(6x^2)^2)dx=36\left(\frac{x^3}{3}-\frac{x^5}{5}\right)_0^1\\\Rightarrow \int_0^1((6x)^2-(6x^2)^2)dx=36\left(\frac{1}{3}-\frac{1}{5}\right)\\\Rightarrow \int_0^1((6x)^2-(6x^2)^2)dx=36\times\frac{2}{15}\\\Rightarrow \int_0^1((6x)^2-(6x^2)^2)dx=\frac{24}{5}[/tex]

Volume of the solid generated by revolving the region about the x-axis.

      [tex]\int_0^1\pi((6x)^2-(6x^2)^2)dx=\int_0^1\pi(36x^2-36x^4)dx[/tex]

[tex]\Rightarrow \int_0^1\pi((6x)^2-(6x^2)^2)dx=36\pi\int_0^1(x^2-x^4)dx\\\Rightarrow \int_0^1\pi((6x)^2-(6x^2)^2)dx=36\pi\left(\frac{x^3}{3}-\frac{x^5}{5}\right)_0^1\\\Rightarrow \int_0^1\pi((6x)^2-(6x^2)^2)dx=36\pi\left(\frac{1}{3}-\frac{1}{5}\right)\\\Rightarrow \int_0^1\pi((6x)^2-(6x^2)^2)dx=36\pi\times\frac{2}{15}\\\Rightarrow \int_0^1\pi((6x)^2-(6x^2)^2)dx=\frac{24\pi}{5}[/tex]  

20 points pls answer

Answers

The answer to the first one is 0.879 and the second is 50%

A. -5
B. 11
C. 38 - 8i
D. 3+ 8i

Answers

Answer:

D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

What is the equation of the line?

Answers

Answer:

The line equation is x=3 because the line covers all of the possible y values within the coordinate x=3.

the equation of the line is x=3.. it’s over the 3 line.

find the square root of the following:
a. 1434/25

Answers

Answer:

7.57363849

Step-by-step explanation: square root of 57.36 = 7.57363849

Answer:

1434/25 is 57.36 the square root of 57.36 is 7.57

SOMEONE PLEASEEEE HELPPPP

Answers

[tex]adjacnt {}^{2} = opposite {}^{2} + hypotenuse {}^{2} \\ adjacent {}^{2} = 8 {}^{2} + 12 {}^{2} \\ adj {}^{2} = 64 + 144 \\ adj {}^{2} = 208 \\ adjacent = \sqrt{208} \\ adjacent = 4 \sqrt{13} [/tex]

What is the total surface area of the prisim

Answers

Answer:

A. 846 cm²

Step-by-step explanation:

1539 ÷ 19 = 81

√81 = 9

9 · 9 · 81 = 1539

A = 2(wl + hl + hw)

A = 2(19 · 9 + 9 · 9 + 9 · 19)

846 cm²

A smartphone costs $260. Sales tax is 6%. What is the total cost, including tax?
The cost of the smartphone, with tax, is $

Answers

I got 275.60 htdffghuyfddd

Answer:

Step-by-step explanation:

TAX CALCULATION: 260 x .06 = $15.6

Next, add the tax to the original price.

260 + 15.6 = $275.6

$275.6 is the final price including tax.

Write this decimal
as a percent.

0.872

Answers

87.2% hope this helps

Answer:

87.2%

Step-by-step explanation:

move the decimal point 2 places to the right

2 x - 3+ 1 x6 is equal to?

A. - 48
B. - 1
C.0
D. 1

Answers

Answer:

C.0

Step-by-step explanation:

THINK PEMDAS

1*6 multiply first. 1*6 is 6

2*-3 is -6

then when you add them, they cancel out

6-6=0

Which two products can add to find 9 times 4?

Answers

Answer:

2x18=36

im not sure if that's what you meant but i can answer again if you want

Step-by-step explanation:

Answer:

sin ( 330 )

 csc  ( 60 )

cos  ( 390 )

Step-by-step explanation:

Select ALL the expressions that have the same value as 9s

1. 9+s
2. 9*s
3. 3s + 6s
4. 3(3s)
5. s(5+4)
6. 3s * 3s
7. s+s+s+s+s+s+s+s+s

Answers

2,3,4,5,6 and 7 all I have the same value as 9s. Hope this helps:)

Answer:

1

Step-by-step explanation:

find the sine of < I ​

Answers

Answer:

Step-by-step explanation:So for this question, you need to find side KI and you can find it with the pythagorean theorem

[tex]5^2+\sqrt{21}^2 = c^2[/tex]

25+21=c^2

46=c^2

c=sqrt46

c=6.78

sin(opposite/hypotnuse)

sin(sqrt21/ sqrt46) =.0117

5. Classify each triangle by its angle and sides

Answers

Answer:

5 is D

6 is C

Step-by-step explanation:

Define:

Equilateral - All sides and angles are congruent

Isosceles: Two congruent sides and two congruent angles

Scalene: No congruent sides or angles

Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )

obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )

Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )

Answer:

the triangle shown in # 5 has a right angle and 2 congruent sides and angles

Therefore the triangle in #5 is a right isosceles

The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.

If OK and GE are parallel, what must the length of GE be?

Answers

Answer:

let the length of GE be x,

[tex] \frac{9}{3} = \frac{x}{2} [/tex]

being similar triangle.

9×2=x×3

18 = 3x

x = 18/3

x = 6 cm

The area of Kylie's room is 400 square feet. The width of her room is 20 feet. What is the length of her room?

Answers

Answer and Step-by-step explanation:

Assuming the room is a type of rectangle, we need to divide the area by the width to get the length.

So, do 400 divided by 20 to get the length, as length times width equals the area.

400 divided by 20 = 20.

The length of the room is 20 ft. (meaning the room is a perfect square.

#teamtrees #PAW (Plant And Water)



Find the value of x.

A.18
B.15
C.16
D.19

PLEASE HELP!!!!!

Answers

Answer:

x = 19

Step-by-step explanation:

123°+3x = 180°

3x = 180°-123°

3x = 57

x = 57/3

x = 19

The reason why we use 123° + 3x = 180° because both are adjacent angles. Adjacent angles add up to 180°

What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm​ long, 9 cm​ wide, and 7cm​ tall?

Answers

Answer:

This length is greater than the 12 cm side of the rectangle, so it confirms our initial guess, the longest line segment is 12.89 cm long.


[tex] \sqrt{4 {}^{4} } [/tex]

Answers

Answer:

16 will be your answer

Step-by-step explanation:

hope it helps..

Thanks again for the points bro!!

When Anna commutes to work, the amount of time it takes her to arrive is
normally distributed with a mean of 51 minutes and a standard deviation of 5
minutes. Using the empirical rule, determine the interval that represents the
middle 68% of her commute times.

Answers

Answer:

(46,56)

Step-by-step explanation:

Need answer fast thx

Answers

Answer:

50

Step-by-step explanation:

10% of 100 is 10 so times it by 5

If the Corner Bakery packages the muffins in the boxes of a 100 how many boxes of a 100 could they make

Answers

Answer:

24 muffins

240 muffins

2 boxes

Step-by-step explanation:

here is the complete question

Amy is baking muffins. Each baking tray can hold 6 muffins.

a. If Amy bakes 4 trays of muffins, how many muffins will she have in all?

b. The corner bakery produced 10 times as many muffins as Amy baked. How many muffins did the bakery produce?

If the Corner Bakery packages the muffins in the boxes of a 100 how many boxes of a 100 could they make

Number of muffins Amy has = number of trays x capacity of each tray

6 x 4 = 24 muffins

b. Muffins the bakery produces = 10 x 24 = 240 muffins

c. Number of boxes = 240 / 100 = 2. 4

that is 2 boxes of 100

The number line below represents the solution to which inequality?

F. -2x + 728
H, 6x 9-21
G. 7x + 1134
J. -3x - 155 -27​

Answers

I think it is f but I’m not sure hope this helps
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