1. Find the length of X and Y:

2. Find the area of the equilateral triangle:

1. Find The Length Of X And Y:2. Find The Area Of The Equilateral Triangle:
1. Find The Length Of X And Y:2. Find The Area Of The Equilateral Triangle:

Answers

Answer 1

Step-by-step explanation:

1)

[tex] \sin(theta) = \frac{opposite \: side}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{x}{10} = \frac{1}{2} [/tex]

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

[tex]x = 5[/tex]

In right Angles traingle

By using Pythagoras theorm

we get

x²+y²=10²

25+y²=100

y²=75

y=5√3

x=5,y=5√3

2)

Area of equilateral traingle =

[tex] \frac{ \sqrt{3} }{4} {a}^{2} [/tex]

required area

[tex] \frac{ \sqrt{3} }{4} \times {6}^{2} [/tex]

[tex] \frac{36 \sqrt{3} }{4} [/tex]

[tex]9 \sqrt{3} [/tex]


Related Questions

What is the equation of the following line? Be sure to scroll down first to see all answer options.

Answers

Answer: D

Step-by-step explanation:

Using the two point slope form with points (0, 0) and (4, -3):

[tex]\frac{y-0}{x-0}=\frac{4-0}{-3-(0)}[/tex]

[tex]\begin{aligned}&\frac{y}{x}=\frac{4}{-3} \\&y=-\frac{3}{4} x\end{aligned}[/tex]

Therefore, D is the correct answer

Answer:

D. y=-3/4x

Step-by-step explanation:

because when doing slope, you have to remember that it goes y/x and the fact that this is a negative slope meaning that you count from point (0,0) to (4,-3), and the lines on the graph count by 2's, so you would be counting down 3 (because point (4,-3) is inbetween -2 and -4) and to the right 4. making the answer -3/4, and it is negative because it is a downward facing slope. oh, and the x is there because it is an ever changing variable (ever continuing)

42 ft.
30 ft
Both triangles are similar The area of the larger triangle is about 382 ft

Answers

Answer:

just awnsering for the points sorry man

Step-by-step explanation:

Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign.

What inequality is shown in the graph?

Answers

Answer:

y ≥ -x - 4

Step-by-step explanation:

[tex]\sf let (x_1,y_1)=(-4,0)\\\\let (x_2,y_2)=(0,-4)[/tex]

[tex]\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-0}{0-(-4)}=-1[/tex]

Slope-point form of linear equation:

[tex]\sf \implies y-y_1=m(x-x_1)[/tex]

[tex]\sf \implies y-0=-1(x-(-4))[/tex]

[tex]\sf \implies y=-x-4[/tex]

For ≤ or ≥ graph a solid line

For < or > graph a dashed line

For shading above the line: y ≥ or y >

For shading below the line:  y ≤ or y <

Therefore, as the line is solid and shading is above the line:

[tex]\sf y\geq -x-4[/tex]

Answer: y ≥ -x - 4

Step-by-step explanation:

What are the factors of m2 – 12m 20? m – 14 and m – 6 m – 10 and m – 2 m – 9 and m – 3 m – 5 and m – 4

Answers

Answer:

B

Step-by-step explanation:

-10 and -2

Answer:

-10 and -2

Step-by-step explanation:

Five candy bars cost $6.57. The cost of each candy bar is the same. What is the cost of each candy bar rounded to the nearest cent

Answers

total price : amount = individual price

6.57:5=1.31

Answer this please thank you

Answers

B. Every third student entering the school in the morning

Step-by-step explanation: Is (2, 3) a solution to the equation y=x ?

Answers

Answer:

no

Step-by-step explanation:

if you substitute it:

3 = 2

but 3 is not equal to 2 so i dont think its a solution

Answer:

(2, 3) is not a solution to the equation y = x

Step-by-step explanation:

Looking at the point (2, 3), we see that the x-coordinate is 2 and the y-coordinate is 3.  x = y is false.  (2, 3) is not a solution to the equation y = x.

Suzie went to the carnival and spent $2.85 on a lemonade and $3.25 on a hot dog. How much money did Suzie spend in total? (3 points) a $6.10 b $6.50 c $6.85 d $7.10

Answers

Answer:

a) 6.10

Step-by-step explanation:

if you want to figure out the total number spent, then you simply add together the two amounts to get:

3.25+2.85=6.10

p.s. dont post such simple questions on brainly

Answer: a. $6.10

Step-by-step explanation:

2.85 + 3.25 = (2+3)+(.85+.25) = (5)+(1.10)=6.10
therefore, $6.10 is the right answer

The diameter of a circle is 88 centimeters. What is the area?

Answers

[tex]\Huge\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

[tex] \large \purple { \sf{ Points \: →}}[/tex]

The diameter of a circle is 8 centimeters.

To find→

Area of circle......

we know that area of circle

[tex] \boxed{ \sf{A=\pi {r}^{2} }} \\ [/tex]

1st find the radius by

half of diameter

[tex] \sf {r = \cancel \frac{8}{2} } \\ \\ \sf{r = 4}[/tex]

Now solve according to formula

[tex] \sf{↬A=3.14 \times {4}^{2}} \\ \sf{↬A =3.14 \times 16} \\ \sf {↬A = 50.24 {cm}^{2} }[/tex]

____________________☃️

[tex]\pink{\sf{\:мѕнαcкεя\: ♪...}}[/tex]

Based on this equation, estimate the number of wins for a team that scores 222 goals per match.

Answers

Answer:

Based on this equation, we estimate a team that scores 222 goals per match to have 24.524. 524, point, 5 wins.

The graph below shows the percent of times a family ate at different restaurants in a year. The family ate at MacGregor’s 27 times.



How many times did the family eat at restaurants in a year?



20% amys place
10% pizza hut
10% taco bell
27 times adams house

Answers

Answer:

b pizza hut

Step-by-step explanation:

sorry im wrong

Do you understand this please give examples l really don’t understand.

Answers

Answer:

so to get primited you add the sides and since you are given the perrimited and one of the sides you are to figure out the outer side

so if the perrimiter its 38 and one side is 10 then the other side is 28 because 38-10 its 28

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answers:

Mode = 6

Range = 7

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

Explanation:

The mode is the most frequent value. Based on that, we simply go for the tallest stack of 'x's which in this case is 6.

Therefore, 6 is the mode. It shows up four times which is the most of any other value.

-------

The range is the difference of the min and max

range = max - min = 8 - 1 = 7

A dress shop has a markup rate of 200%. find the selling price of a dress that cost the store owner $80.

pls help

Answers

Answer:

$240

Step-by-step explanation:

200% x 80 = 160

80 + 160 = $240

What is the domain and range of the following graph

Answers

Answer:

Step-by-step explanation:

Domain is x-values the graph can have

  x = [-3,22]

range is the y values the graph includes

   range-=  [-3,+2]

1. Look at the sequence in this table.
n
1
2
3
4
On
5
an
а.
-1
1
3
5
7
Which function represents the sequence?
+ 1
A. a = 8,-1
B. a = 8,-1
+1
1+2
+ 2
n
a
c. a, = 2a,-1-1
a
D. a = 2a-,-3
-1
n
,
n
n1

Answers

Answer:

option (C) is correct

Step-by-step explanation:

[tex]a_1=-1-\infty[/tex]

[tex]a_2=1-2[/tex]

[tex]a_3=3[/tex]

[tex]a_4=5[/tex]

[tex]from \ (1)\ and\ (2)[/tex]

[tex]a_2=2(-1)-1=-1[/tex]

[tex]ie.,\ a_2=2(a_1)-1[/tex]

[tex]so,\ a_n=2a_n_-_1-1[/tex]

[tex]Answer:option\ (C)\ is\ Correct[/tex]

I hope this helps you

:)

shari is stringing round beads on a string. Each bead has a radius of 1.64 cm she strings 12 of the beads what is the length of the strung beads?

Answers

Answer:

39.36cm

Step-by-step explanation:

Since each bead has a radius of 1.64cm and there are 12 beads, all we have to do is multiply amount of beads by their length. Since it is the radius, we have to multiply the length by 2.

So [tex]3.28[/tex] × [tex]12 = 39.36[/tex]cm.

What expression is equal to 6(2f + 2)

Answers

Answer:

[tex]\boxed{\sf{12f+12}}[/tex]

Step-by-step explanation:

Use the distributive property.

Distributive property formula:

A(B+C)=AB+AC

6(2f + 2)

Multiply.

6*2f=12f

6*2=12

Rewrite the expression down.

12f+12

So, the final answer is 12f+12.

I hope this helps! Let me know if you have any questions.

Answer:

12f + 12

Step-by-step explanation:

Step 1:  Distribute

6(2f + 2)

(6 * 2f) + (6 * 2)

12f + 12

Answer: 12f + 12

Strawberries are on sale 3 boxes for $6.99. How much does 1 box cost?

Answers

Answer:

$2.33

Step-by-step explanation:

6.99/3 = 2.33

Divide cost of 3 boxes by 3:


6.99/3 = 2.33

1 box cost $2.33

select the correct answer

what is the solution for x in the equation

5/3x+4=2/3x

Answers

Answer:

x = -4

Step-by-step explanation:

4 = 2/3x - 5/3x

4 = -3/3x

4 = -x

-4 = x

Mayerlin has a mask collection of 400 masks. She keeps some in a display case and the rest on the wall. She keeps 24% of her masks in the display case. How many masks does she keep on her wall?

Answers

The number of masks that Mayerlin kept on her wall given the information in the question is 304.

What are percentages?

Percentage is the fraction  of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency.

How many masks are on the wall?

Percentage of the masks on the wall = 100 - 24 = 76%

Number of the masks on the wall = 76% x 400 = 304

To learn more about percentages, please check: https://brainly.com/question/25764815

Write an expression to show the show sum of g and h reduced by 11

Answers

Answer:    g+h - 11

Explanation:

The sum of g and h is the result of adding them. That means we have g+h so far. We reduce it or shrink that result by 11, which indicates we subtract off 11. Therefore, we end up with g+h-11

Which is the coldest temperature? Explain how you determined this using the number

Answers

The coldest temperature is -273.15°C

Question
Find the surface area of the prism.




m2

Answers

Answer:

324 square meters

Step-by-step explanation:

Hey there!

The surface area of a shape is the area of all the surfaces added up

The side surface area is 48 since 16 x 3 is 48. Since there are two side areas, we need to multiply 48 x 2 is 96

Now we need to do this for the other sides

the bottom and top areas are 96 square meters each so we multiply 96 by 2 which is 192

The front and back faces have an area of 18 square meters so we multiply 18 by 2 since there are two faces which are 36

Now we add all the values: 96+192+36 which is 324

So the surface area of the prism is 324 square meters

Identify the type of conic section that has the equation 16x^2 + 4y^2 = 16 and identify its domain and range.

Answers

16x²+ 4y² = 16 is an equation of ellipse, domain of the equation is all real numbers and the range is -2 ≤ y ≤ 2.

What is Conic Section?

A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane.

The given equation is 16x²+ 4y² = 16.

Divide both sides by 16.

x²/1 + y²/4 = 1

This is the equation of an ellipse.

It is an ellipse centered at the origin, with semi-major axis length of 2 and semi-minor axis length of 1.

Since the x² term is not negative, the domain is all real numbers.

The range of the ellipse is the range of y-values that make the equation true.

Since the y² term is not negative, the range is all real numbers as well. However, since the ellipse is centered at the origin, the range is bounded by -2 and 2, which are the y-coordinates of the endpoints of the major axis. Therefore, the range is -2 ≤ y ≤ 2.

Hence, 16x²+ 4y² = 16 is an equation of ellipse, domain of the equation is all real numbers and the range is -2 ≤ y ≤ 2.

To learn more on Conic Section click:

https://brainly.com/question/28991363

#SPJ2

Answer:

ellipse; Domain: {-1≤y≤1}; Range: {-2≤y≤2}

Step-by-step explanation:

Graph the equation. An ellipse has two lines of symmetry, the x-axis, and the y-axis. The domain is the set of all real numbers with x, written as -a ≤ x ≤ a. The range is the set of all real numbers with y, written as -b ≤ y ≤ b.

You deposit 2,000$ in a savings account earning 5% simple interest. How long will it take for ythe balance of the account to be 3,800$

Answers

Answer:

1 year and a half or 18 months

Step-by-step explanation:

Determine the value of the angle.
Angle FDE=

Answers

Answer:

angle fde = 37 degree

Step-by-step explanation:

we have,

angle bdc = angle fde

for angle bdc

adf = 90, adb = 53

let the value be x

=>             90+53+x = 180

=>             143+x = 180

=>             x = 180 - 143

=>             x = 37

bdc = 37

so, fde = 37

What is the area of the the figure?

Answers

Answer:

830 yd

Step-by-step explanation:

Theres a few ways you can do this but I'll show you one of the easeist way for solving this problem.

You can slipt this figure into 2 rectangles by just cutting the small rectangle out (the one thats kind of sticking out)

Then, all you have to do is find the area of both rectangles and add them together.

For the big rectangle : 20x40 = 800

For the little rectangle : 30x10 = 30

Add all togther:

800 + 30 = 830 yd

Hope this helps :)

what's 2 to the -3rd power

Answers

Do you really feel fly in true religion

Can yall help me do this

Answers

Formula = 4/3 x pi x r^3

4/3 x 3.14 x 7^3 = 1436.03


answer: a. 1436.03 cubic units

Answer:

answer: a. 1436.03 cubic units

Step-by-step explanation:

I took a test

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