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Mamont248 [21]
2 years ago
5

Determine whether each ordered pair is a solution to the inequality x+5y<2.

Mathematics
1 answer:
inna [77]2 years ago
6 0

Two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

<h3>What is inequality?</h3>

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

Given inequality is:-

  • x + 5y  <  2.

We will check all the points for the inequality:-

(−8,−1) →  x + 5y  <  2.  →  -8 +(5 x -1) < 2  →  -13 < 2 It is inequality

(−1,0)   → x + 5y  <  2   →   -1 < 2 It is inequality

(4,2)    → x + 5y  <  2   →    14 < 2  wrong

(9,6)    → x + 5y  <  2   →    39 < 2 wrong

(0,10)  →  x + 5y  <  2  →    50 < 2 wrong

Therefore the two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

To know more about inequality follow

brainly.com/question/24372553

#SPJ1

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A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.
jeyben [28]
Sine rule

a/Sin(A) = b/Sin(B) = c/Sin(C)
     b
 C / |
a / _| A 
    B  c

We know that a = 70 degrees and A = 25 foot
So 70/Sin(25) = Something
We also know we want C, and that c = 90 degrees
So 70/Sin(25) = 90/Sin(C)
Then you have to rearrange the equations. Start with Multiply all by Sin(C)
So [Sin(C)][70/Sin(25)] = 90
Then divide everything by 70/Sin(25)
So Sin(C) = 90/[70/Sin(25)]
Now you want to isolate C, so Sin-1 everthing
So C = Sin-1{90/[70/Sin(25)]}
So C = 32.91309534
To the nearest tenth, 32.9ft
Hope that helps :)
4 0
4 years ago
Read 2 more answers
R+sy=t solving for y
motikmotik

Answer:

y =(t-r)/s

Step-by-step explanation:

r + sy = t

Subtract r from both the sides,

sy = t - r

Divide both the sides by s,

y = (t - r) / s

5 0
3 years ago
I need help with this, please.
n200080 [17]

Answer:

A: I think it's A because you need to graph both equations

7 0
3 years ago
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What is the product of <br><br> 2x+3 and 4x^2-5x+6 .
stira [4]

Answer:

Explanation:

We have:

(

2

x

+

3

)

(

4

x

2

−

5

x

+

6

)

Now let's distribute this piece by piece:

(

2

x

)

(

4

x

2

)

=

8

x

3

(

2

x

)

(

−

5

x

)

=

−

10

x

2

(

2

x

)

(

6

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=

12

x

(

3

)

(

4

x

2

)

=

12

x

2

(

3

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(

−

5

x

)

=

−

15

x

(

3

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(

6

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=

18

And now we add them all up (I'm going to group terms in the adding):

8

x

3

−

10

x

2

+

12

x

2

+

12

x

−

15

x

+

18

And now simplify:

8

x

3

+

2

x

2

−

3

x

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3 0
2 years ago
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The volume of a right circular cone is 2,279.64 in cubed. If the height of the cone is 18 in, what is the diameter of the cone?
Aleksandr [31]

ANSWER

A. 22 in

EXPLANATION

The volume of a cone is calculated using the formula:

Volume =  \frac{1}{3}  \times \pi {r}^{2} h

It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

2279.64=  \frac{1}{3}  \times (3.14) \times {r}^{2}  \times 18

2279.64= 18.84 {r}^{2}

{r}^{2}  =  \frac{2279.64}{18.84}

{r}^{2}  = 121

We take positive square root to get;

r =  \sqrt{121}

r = 11in

Therefore the diameter is 2(11) which is equal to 22 inches.

5 0
3 years ago
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