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UkoKoshka [18]
3 years ago
15

A system of linear inequalities is shown below.

Mathematics
1 answer:
Helga [31]3 years ago
5 0
A) Isolate y in both inequalities

1) x + y ≥ 4 => y ≥ 4 - x
2) y < 2x - 3

B) Draw the lines for the following equalities:

1) y = 4 - x
2) y = 2x - 3

C) Shade the regions of solutions

1) The region that is over the line y = 4 - x
2) The region that is below the line y = 2x - 3

The solution is the intersection of both regions; this is the sector between both lines that is to the right of the intersection point, including the portion of the very line y = 4 - x and excluding the portion of the very line y = 2x - 3


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Can someone please help me with this ​
Readme [11.4K]

Answer:

7) 28.8 in

8) 80.6 mm

9) 68.3 cm

(All answers to the nearest tenth)

Step-by-step explanation:

7) The traingle is a right-angled triangle since the 4 angles of a rectangle are right angles.

Applying Pythagoras' Theorem,

x²= 16² +24²

x²= 832

x= √832

x= 28.8 in (nearest tenth)

8) Applying Pythagoras' Theorem,

x² +40²= 90²

x²= 8100 -1600

x²= 6500

x= 80.6 mm (nearest tenth)

9) See the attached picture for better understanding.

1st picture shows the simplified diagram of the question, indicating where line x lies in the rectangular prism.

Now, if we cut the prism into half diagonally so that we obtain 2 equal triangular prism, we would obtain 2 prisms that look like the one drawn in picture 2.

Now zoom in to the blue face of the prism, we would get a triangle as shown in picture 3.

Let's find the value of y.

Applying Pythagoras' Theorem,

y²= 40² +54²

y²= 4516

y= √4516

Look at picture 2 again at focus at the pink shaded triangle. It has been re-drawn in picture 4.

Now we know that y= √4516.

Applying Pythagoras' Theorem,

x²= (√4515)² +12²

x²= 4660

x= √4660

x= 68.3 cm (nearest tenth)

3 0
3 years ago
All the fraction that are greater than 1\2
never [62]
Hi There!

Change all the fractions to decimal you do that by dividing numerator by the denominator. Remember \frac{1}{2}   as a decimal is 0.5

A=  \frac{3}{7}  =    0.43

B=  \frac{5}{9}  =    0.60

C=  \frac{8}{10} =   0.8

D=   \frac{5}{12} =   0.42

E=    \frac{3}{5}   =   0.6

Based, on the data above B,C,E are greater than \frac{1}{2} because they all have decimals greater than 0.5, B= 0.6, C= 0.8, E=0.6

So, \frac{5}{9} ,\frac{8}{10} ,\frac{3}{5}  are all greater than \frac{1}{2}

Hope This Helps :)

6 0
3 years ago
PLS HELP! GIVING BRAINLIEST FOR CORRECT ANSWER! THANKS!<br> look at provided image.
denis-greek [22]

Answer:

your correct

Step-by-step explanation:

good luck

3 0
2 years ago
If r = 4 units and x = 13 units, then what is the volume of the cylinder
irina [24]
Im going to go with the volume being 653.45 because v = pie r squared h = pie  times 4 squared times 13 which equals 653.45... hope its correct ! 
6 0
3 years ago
In the contiguous United States, the ratio of states that border an ocean to states that do not border an ocean is 7:9. How many
Luda [366]

Answer:

21

Step-by-step explanation:

The contiguous U.S. consist of all states beside Alaska and Hawaii; therefore, there are 48 contiguous U.S. states. However, the ratio given to us only consists of 16 states [7 + 9 = 16]. If we need to expand the ratio, we multiply 16 by 3 to get 48. Thus, we also multiply each of the terms by 3, and the ratio becomes 21:27. Therefore, the number of contiguous U.S. states that border an ocean is 21.

3 0
3 years ago
Read 2 more answers
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