Triangle inequality

Step-by-step explanation:

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Answer:

11/5

Step-by-step explanation:

Given:

The equations are

[tex]2x+5y=0[/tex]

[tex]3x-4y=23[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]2x+5y=0[/tex]        ...(i)

[tex]3x-4y=23[/tex]       ...(ii)

From (i), we get

[tex]2x=-5y[/tex]

[tex]x=-\dfrac{5y}{2}[/tex]        ...(iii)

Putting this value in (ii), we get

[tex]3(-\dfrac{5y}{2})-4y=23[/tex]

[tex]-\dfrac{15y}{2}-4y=23[/tex]

[tex]\dfrac{-15y-8y}{2}=23[/tex]

[tex]-23y=2\times 23[/tex]

[tex]y=\dfrac{46}{-23}[/tex]

[tex]y=-2[/tex]

Putting y=-2 in (iii), we get

[tex]x=-\dfrac{5(-2)}{2}[/tex]

[tex]x=-\dfrac{-10}{2}[/tex]

[tex]x=\dfrac{10}{2}[/tex]

[tex]x=5[/tex]

Therefore, the solution of given system of equation is (5,-2).

Answer:

1. x = 2

2. x = 5

3. x = 8

4. x = 28

5. x = 13

6. x = 11

7. x = 0

8. x = 72

9. x = 6

10. x = 38

Step-by-step explanation:

hope that helps!

1. subtract 6 on both sides

2. add 3 on both sides

3. divide both sides by 2

4. multiply both sides by 2

5. add 8 on both sides

6. subtract 9 on both sides

7. add 5 on both sides

8. multiply both sides by 6

9. divide both sides by 4

10. add 18 on both sides

Answer: the answer is on a calculator

Step-by-step explanation:

If your aboe to do that you can so anything

Answer:

70°

Step-by-step explanation:

We know that the triangle is an iscoceles based on the 2 small lines drawn horizontally on 2 sides of the triangle.

We know that the base angles in an iscoceles triangle are the same, so the angle that has not been drawn is 55°.

55° + 55° = 110°

180° - 110° = 70° (180 comes from the entire triangle adding up to 180°)

Answer:

1

Step-by-step explanation:

you add +6 everytime you up the number :))

Answer:

The missing value of x in this arithmetic sequence is "1"

Step-by-step explanation:

Since this is an arithmetic sequence that means that when we get from one term to the next one we always add/substract the same number each time.

In our case each time we need to find the next term we just add 6 to the current term. For example, after 13 we have 19 which is essentially 13 + 6.  

From this we know in order to get from x to 7 we added 6, now know this we can make an equation...

x + 6 = 7

And now we just solve it...

x + 6 = 7

x = 7 - 6

x = 1

Answer:

arah is at a miniature exhibit. There is a model of a skyscraper. Underneath the model was a ratio. It said:

1 inch=30 feet.

If the model is 38 inches tall, how Sarah use this information to find the actual height of the skyscraper?

In this concept, you will learn how proportions are used to find actual and scale dimensions using a scale ratio.

Using Proportions to Find Dimensions

A scale is a ratio that shows the relationship between the representation of an object and the real measurement of an object. Toy makers use scale ratios to make models of cars and airplanes that are proportional to the real thing. Architects use scale drawings to plan the design of buildings.

A scale drawing is a drawing that is used to represent and object that is too large to be drawn in its actual dimensions. If a drawing is to scale, you can use proportions to determine the actual dimensions of the scale drawing.

Let’s look at a scale drawing of a sculpture. In the drawing, the sculpture is 4 inches tall. The scale is 1 inch : 4 feet. It scale can be written as

1 in4 ft

(Note: Inch is abbreviated “in.” or with the double prime mark, ″. Foot/feet is abbreviated “ft” or with the single prime mark, ′.)

A drawing with this scale tells you that 1 inch on paper is equal to 4 feet in real life. If the drawing is 4 inches tall, use the scale to find the actual height of the sculpture.

First, create a proportion using equivalent ratios. Remember to write the corresponding units in the numerator and in the denominator. The actual height of the sculpture is represented by the variable x.

1 in.4 ft.=4 in.x ft.

Then, cross multiply and simplify the equation to find the value of x.

xx==4(4)16

The sculpture will be 16 feet tall.

Let’s make a scale drawing. Use the scale 1′′=2′. Draw a room that is 8′×12′.

First, write a proportion to find the measurement of the width.

1′′2′=x′′8′

Next, cross multiply and simplify the equation to find the value of x.

2x2xx===1(8)84

The drawing will be 4

Answer:

11

Step-by-step explanation:

5(x-2)=45

x-2=45/5

x-2=9

x=9+2

x=11

*check figure 1 for the diagram of the garden

Answer:

2,400 cm²

Step-by-step explanation:

The area of the garden has been decomposed into 3 rectangles, rectangles 1, 2, and 3 (see figure 2 in the attachment below).

To find the area of the garden, calculate the area of each of the 3 rectangles and sum them together.

Thus:

Rectangle 1:

Area = length × width = 20 × 20 = 400 cm²

Rectangle 2:

Area = length × width = 60 × 10 = 600 cm²

Rectangle 3:

Area = length × width = 70 × 20 = 1,400 cm²

✔️Area of the garden = 400 + 600 + 1,400 = 2,400 cm²

Answer:

look below!

Step-by-step explanation:

For the length I think you meant 32, and if you did it is $14.40

If not and you meant length of 2 it is $0.90

Answer:

lxwxh for volume.

2x.75x.5 = .75 cubic meters.

.75 percent of 1.20 = .90.

90 cents is the answer.

Answer:

a=2.5

Step-by-step explanation:

3a-2.4=5.1   Add the like terms ( plus 2.4 cancels out -2.4)

   +2.4  +2.4

3a=7.5  Now divide by 3

/3     /3

a=2.5

Answer:

4⋅(x+5y)⋅(x−7y)

Step-by-step explanation:

dggfhjgjjghhghhjj

4 (x² - 2xy - 35y²) ------> 4 (x-7y)(x+5y)

Answer:

34 weeks

Step-by-step explanation:

As given,

Wage of 1 hour = $12

⇒1$ = [tex]\frac{1}{12}[/tex] hour

⇒$3000 = [tex]\frac{3000}{12}[/tex] = 250 hour

As given,

1 week = 5 days

And he works

[tex]1\frac{1}{2} = \frac{3}{2}[/tex] hour in 1 day

⇒5 days = 5×[tex]\frac{3}{2}[/tex] = [tex]\frac{15}{2}[/tex] hours

⇒1 week = [tex]\frac{15}{2}[/tex] hours

⇒1 hour = [tex]\frac{2}{15}[/tex] week

⇒250 hour = [tex]\frac{250 . 2}{15}[/tex] = 33.34 weeks ≈ 34 weeks

∴ we get

He has to Approximately work for 34 weeks with the extra hour per day to reach your goal.

Answer:

937 feet

Step-by-step explanation:

tan32 = x/1500

0.625 = x/1500

0.625*1500 = 937.304

Answer:

c....

i think

Step-by-step explanation:

Answer:

option A is correct answer of this question

Answer:

A. Part of 100. Hope this helps.

Answer:

The left one does.

Step-by-step explanation:

While it has the same height as the other one, it is wider, so therefore it has more volume.

I hope this helps!

Answer:

y=x-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-6)/(-2-7)

m=-9/-9

m=1

y-y1=m(x-x1)

y-6=1(x-7)

y-6=x-7

y=x-7+6

y=x-1

Answer:

Step-by-step explanation:

Graphs are used to show the relationship between two variables (usually x and y). The values of x when [tex]f(x) = 0[/tex] are 2 and 8

The graph of y = f(x) is given

To get the values of x when [tex]f(x) = 0[/tex], we simply consider where the line of the graph crosses the x-axis.

The graph crosses the x-axis at:

[tex]x = 2[/tex]

[tex]x = 8[/tex]

This means that the values of x when [tex]f(x) = 0[/tex] are 2 and 8

Read more about graphs at:

https://brainly.com/question/14375099

Answer:

12637489494949437727+2+37+3+382883646384949494949944994

Answer:

number 10 and 2.333333333 or you can just make it short 2.33

Answer:

B, 5

Step-by-step explanation:

divide 3 by 15

15 divided by 3 = 5

h = height

5h

5 = height

your answer would be 5

The height of the cone is 1.6 ft.

A right circular cone is one whose axis is perpendicular to the plane of the base. We can generate a right cone by revolving a right triangle about one of its legs.

Given that, a right circular cone has a volume of 15 cubic feet and a radius of 3 feet, we need to find the height of the cone,

Volume of the cone = π × radius² × height / 3

15 × 3 = 3.14 × 3² × height

Height = 45 / 3.14 × 9

Height = 1.60

Hence, the height of the cone is 1.6 ft.

Learn more about cones, click;

https://brainly.com/question/16394302

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I think the answer is A, B, and E. I'm not sure if it is 100% correct.

Answer: $20.35 on gallons of gas and $25.2 on cans of oil

Answer:

i think its B

Step-by-step explanation:

I need more info to answer your question. Can please tell me the answer choices?

Answer:

No action is needed because Inigo has a balanced budget.

Step-by-step explanation: