Solve for x. Round to the nearest hundredth.

Given:

LMN is an equilateral triangle.

LM = LN = MN = 12 cm

To find:

The height of the triangle h.

Solution:

In a right angle triangle,

[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]

[tex]\sin (60^\circ)=\dfrac{h}{12}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{h}{12}[/tex]

Multiply both sides by 12.

[tex]\dfrac{\sqrt{3}}{2}\times 12=\dfrac{h}{12}\times 12[/tex]

[tex]6\sqrt{3}=h[/tex]

Therefore, the height of the triangle is [tex]6\sqrt{3}[/tex] cm.

Answer:

45=9⋅5 , so 2√45 is the same as 2⋅√9⋅5 . The √9=3 , so a 3 can be removed. leaving 2⋅3√5 , or 6√5

Answer:

Answer. Answer: A system of linear equation has no solution when the graphs are parallel.Step-by-step explanation:

Answer:

Graph D

Step-by-step explanation:

We can look at the number of pounds of pecans and cashews, shown on the x- and y-axis, respectively.

All of the graphs have an x-intercept of (4, 0), meaning that the number of pecans being bought is 4 lbs.

Since pecans cost $6 per lb, we can multiply the cost by 4 in order to make sure that the total cost is not exceeding $24.

Let's look at the y-axis to see how many lbs of cashews Malik can buy. The y-intercept is (0, 3) for all graphs, meaning that 3 lbs of cashews are being bought.

Since cashews cost $8 per pound, we can multiply the cost by 4 in order to make sure that the total cost is not exceeding $24.

The shaded area represents the values that can be used in the problem. Since we want $24 or less, the shaded region has to be below the line.

Malik can spend no more than $24, so the line should be solid since this means that the values the line touches are inclusive. 4 lbs of pecans and 3 lbs of cashews should be inclusive.

The graph that has all of these properties is Graph D.

Answer:

The answer is 8.19, You have to divide 32.76 by 4(Ps. Sorry I'm not good at explaining)

Answer:

(n-7) ≤ 95

Step-by-step explanation:

We need to write the expression for the given statement.

Seven less than the product of a number n and  1 means (n-7).

It is no more than 95. No more than 95 means less than or equal to i.e.

(n-7) ≤ 95

Hence, the above inequality shows the given statement.

Answer:

Step-by-step explanation:

....................................................

Answer:

C

Step-by-step explanation:

I think its C

X + Y = Z

and Y can't be negative so I think its C

Answer:

I think it's 72

Step-by-step explanation:

I hade add them

Answer:

I need this answer so badly

Step-by-step explanation:

3/4

insert 1st point into y=mx+b

3=m(6)+b

insert 2nd point into y=mx+b

6=m(10)+b

-----------------------------------

use system of equations to solve for m and b

b=3-6m

b=6-10m

3-6m=6-10m

4m=3

m=3/4

insert back into the equation

3=(3/4)6+b

3=9/2+b

3-9/2=b

-3/2=b

insert back into y=mx+b

m=slope

b=y-intercept

y=(3/4)x-3/2

slope=3/4

Hope that helps :)

Answer:slope=3/4

Step-by-step explanation:

Answer:

3/19

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Answer:

3/10 multiplied by 8 would be 2.4

Step-by-step explanation:

3/10=0.3

0.3*8=2.4

Step-by-step explanation:

20^2 because you are multiplying 20 two times

20×20=20², is the exponent form.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

20×20

=400

=20²

Hence, 20×20=20², is the exponent form.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Answer: x=

−1

7

y+

12

7

Step-by-step explanation:

Answer:

w≥5

Step-by-step explanation:

You just divide 7 by both sides which cancels it on the left, and you get 5 on the other side because 35 divided by 7 is 5.

Hope it helps, let me know ;)

Answer:

The answer is "[tex]\bold{\frac{1}{9}}[/tex]"

Step-by-step explanation:

In this question, when two figures are similar so, the ratio from its size is equal to the squared factor that are:

Scaling factor= Z

Area of Polygon Y=a

Area of Polygon X=b

[tex]z=\frac{1}{3}\\\\using \ substitution:\\\\(\frac{1}{3})^2=\frac{a}{b}\\\\\frac{1}{9}=\frac{a}{b}\\\\a=\frac{1}{9}b[/tex]

Answer:

01 V READING / VOCABULARY The Prophecy of the Frogs: Write a paragraph (3-4 sentences) in your notebook to explain why this animated film is a tragicomic social fable.  (Why is it a fable, why is it a social fable, why is it tragicomic).  Submit a photo of your work in TEAMS.  

Answer:

According to me the answer is 'c'

Answer:

Answer:A,B,D

Step-by-step explanation:

Answer: Parallel lines

Step-by-step explanation:

These lines are Parallel due to the fact that they will never cross each other. Since they are both perfectly lined up with each other, this makes them Parallel.

Answer:

13% decrease. (13.4193548...% to be specific)

Step-by-step explanation:

The difference is 1550-1342=208. 208 as a percentage of 1550 --> 208/1550= 0.134193548... = 13% to the nearest whole number. So, it is a 13% decrease.

Answer:

(1,-1)

Step-by-step explanation:

The intersection of the two lines