Carlos walked 10 miles at an angle of 20° north of due east. To the nearest hundredth of a mile, how Far East, X, is Carlos from his starting point?

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:

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.  

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:

I need this answer so badly

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:

(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:

Answer:A,B,D

Step-by-step explanation:

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:

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:

According to me the answer is 'c'

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

(7)From the diagram

cos 34=y/37

y=37 × cos34

y=30.673 approximately 31

and x+y=52

therefore we have our x=21 and y=31

Answer:

B: 40/50 or 4/5

Step-by-step explanation:

Out of 50 students, how many students ride the bus? 40. Since it is out of 50 students, the answer is: 40/50 but simplified to 4/5. HOPE THIS HELPS!!!

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.

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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:

1)  30 in.

A= wl

A=3·10

A=30

2) 30 in.

A=bh

A=10·3

A=30

3) 30 in.

A=hb/2

2=6·10/2

2=30

Answer:

3/19

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: 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:

Step-by-step explanation:

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

Answer: x=

−1

7

y+

12

7

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:

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

A cone has a diameter of 12 centimeters and a height of 9 centimeters. The volume of the cone would be 2034.72 cubic cm.

Suppose that the radius of considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

The right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

A cone has a diameter of 12 centimeters and a height of 9 centimeters.

Radius = 12/2 = 6cm

Height h = 9 cm

The volume of the cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

[tex]V = \dfrac{1}{3} \times 3.14 \times 6^3 \times 9\: \rm unit^3\\\\V = 3.14 \times 648\\\\V = 2034.72 cm^{3}[/tex]

Hence, The volume of the cone would be 2034.72 cubic cm.

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