Which graph shows the solution to the system of linear inequalities?

y > Two-thirdsx + 3

y ≤ Negative one-thirdx + 2

Answer:

option C

Step-by-step explanation:

[tex]given \ side : hypotenuse \\\\3 : 3 \sqrt2\\\\1 : \sqrt2[/tex]

Answer:

see below

Step-by-step explanation:

-90 degrees, the rule is (x, y) --------> (-y, x)

The leftmost point is at (1,1) so it will be at (-1, 1)

The top right point is at (4,1) so it will be at (-1,4)

The bottom right point is at (4,-1) so it will be at (1,4)

Step-by-step explanation:

Hey there!

The amount deposited= $1800

And it's just 20% of total monthly amount.

Let total amount be "x".

Then;

$1800 = 20% of X

[tex]1800 = \frac{20}{100} \times x[/tex]

or, 180000= 20x

or, X = 180000=/20

Therefore, total monthly amount or income was $9000.

Hope it helps!

Answer:

PR = 10

Step-by-step explanation:

PR = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The coordinates for P and R are (0,4) and (-6,-4) respectively.

So you plug in the values:

PR = [tex]\sqrt{(-6-0)^2+(-4-4)^2}[/tex]

PR = [tex]\sqrt{(-6)^2+(-8)^2}[/tex]

PR = [tex]\sqrt{36+64}[/tex]

PR = [tex]\sqrt{100}[/tex]

PR = 10

Answer:

Step-by-step explanation:

17.

sin20° = [tex]\frac{1}{x}[/tex]

x = 1 ÷ sin20°

x ≈ 2.9238

cos20° = [tex]\frac{x}{y}[/tex]

y = x ÷ cos20°

y ≈ 2.9238 ÷ cos20° ≈ 3.11

18.

x = 2√3 ≈ 3.46

y = √3 ≈ 1.732

Answer:

False is the correct answer

6²=36

8²=64 add them 100≠9²

Answer:

276.32

Like I have explained in a prev. Question of yours.

Answer:

The surface area of cylinder is 276.32 feet²

hope it helps

have a nice day

Answer:

V = 8796.45 [tex]cm^3[/tex]

Step-by-step explanation:

Given data :

A lamp shade is in the form of a frustum of a cone.

The upper diameter of the cone, r = 10 cm

The lower diameter of the cone, R = 20 cm

The height of the frustum, h = 12 cm

Therefore, the volume of the frustum of cone is given by :

[tex]V = \frac{1}{3} \pi H ( R^2 + Rr+r^2)[/tex]

Putting the values, we get

[tex]V = \frac{1}{3} \pi \times 12 [( 20)^2 + (20)(10)+(10)^2][/tex]

[tex]$V=4 \pi[400 + 200+100]$[/tex]

[tex]$V=4 \pi[700]$[/tex]

V = 8796.45 [tex]cm^3[/tex]

Thus the volume of the frustum of cone is V = 8796.45 [tex]cm^3[/tex]

Answer:

5x < 30

Step-by-step explanation:

coaches = 2x

parents = 3x

total time = under 30 mins

2x + 3x < 30

5x < 30

x < 6

Answer:

Sample response: Choose a variable to represent the average speech length. If x is the variable, then the inequality would be (2+3)x < 30,="" or="">x < 30. The 2 + 3, or 5, represents the total number of people making speeches. Each one would last an average of x minutes, so we want the product of x and (2+3) to be less than 30, the time limit set by the principal.

For those who wanted the sample response.

Answer:

Combine like terms

Step-by-step explanation:

3x + 6 = 10 + 3x + 4x

Combine like terms

3x + 6 = 10 + 7x

Subtract 3x from each side

3x-3x + 6 = 10 + 7x -3x

6 = 10 +4x

Subtract 10 from each side

6-10 = 10+4x-10

-4 = 4x

Divide by 4

-4/4 = 4x/4

-1 =x

Answer:

3x + 6 = 10 + 7x

is the first step to solving this equation

Answer:

Find the answers below

Step-by-step explanation:

Using m<X as the reference angle

Opposite YZ = 7

Adjacent  XY = 10

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinX = opp/hyp

sinX =YZ/XZ

sinX = 7/√149

For cos X

cos X = adj/hyp

cos X =10/√149

Using m<Z as reference angle;

Opposite XY = 10

Adjacent  YZ = 7

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinZ = opp/hyp

sinZ =10/√149

sinZ = 7/√149

For cos Z

cosZ = 7/√149

Answer: The usual number of yellow eggs in the selected sample is 26.

Step-by-step explanation:

It is given that there are 2 types of dragon eggs: Yellow and green

Observation says that 39% of the eggs are yellow.

When selected at random for incubation:

Number of eggs selected are = 66

To evaluate the number of yellow eggs, we must calculate 39% of 66 eggs

[tex]\Rightarrow \frac{39}{100}\times 66\\\\\Rightarrow 25.74\approx 26[/tex]

Hence, the usual number of yellow eggs in the selected sample is 26.

Answer:

B

Step-by-step explanation:

if you look closely, you can see that the side of it goes up 2, then 2, then 1.

Answer:

The one on the right

Step-by-step explanation:

Answer:

a little bit of a function of the cabinet and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and

Answer:

A

Step-by-step explanation:

less than 36% seems fine

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first term is 2

Therefor t₁ = 2

Each aditional term is 5 times the previous term

That's the second  choice

Answer:

Download Microsoft Math solver you will get you answer from there

Answer:

? = 140

Step-by-step explanation:

The rays form a circle, which is 360 degrees

90+ 105+25+? = 360

Combine like terms

220+? = 360

? = 360-220

? = 140

Answer:

yes they ar op b

Step-by-step explanation:

Answer:

Step-by-step explanation:

FE=4+4=8

Altitude=3+3=6

area=1/2×FE×6=1/2×8×6=24 sq. units.

or

area=1/2×

I 1   3|

|-4 -3|

| 4 -3|

|  1  3|

=1/2[(-3+12)+(12+12)+(12+3)]

=1/2[9+24+15]

=1/2[48]

=24 sq. units

Answer:

I dont know

Step-by-step explanation:

Solution :

Given that the area model that represents a quotient of 108 ÷ 9.

So, we multiply 9 by multiples of [tex]10[/tex] to [tex]\text{estimate the quotient.}[/tex]

10       20      30       40      

90      180     270     360    

Because 108 is between 90 and 180, the quotient lies between 10 and 20.

Using 10 as the first partial quotient in the area model for 108 ÷ 9,

9 x 10 = 90 ,         so 108 - 90 = 18

Now, 9 x 2 = 18,   so 18 - 18 = 0

∴ 10 + 2 = 12

Therefore, the quotient of 108 ÷ 9 is 12.

Answer:  108 ÷ 9 is 12.

Step-by-step explanation:

Hey there!

“What is the mode?”

The mode in mathematical terms means “the REPEATED NUMBER in the data”

Going through all of the terms in the given data none of them seems to be repeated

Option A-C aren't the answers because NONE of those numbers repeated in the data plot

Option D. is the answer because there are no given data in the plot

Answer: Option D. “There is no mode”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

x⁹⁹⁹ + 1

Step-by-step explanation:

a binomial is a polynomial that is the sum of two terms

x⁹⁹⁹ + 1

Answer: 230 - the total amount of sweets.

Step-by-step explanation:

Adrian received 8 pieces of sweets;

Ben got 5 pieces of sweets;

Charlie received 10 pieces of sweets.

The sum of all parts:

8 + 5 + 10 = 23

Let's calculate how many parts Charlie got more than Adrian:

10 - 8 = 2

It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.

20 : 2 = 10

Now we can calculate the total amount of sweets:

10 × 23 = 230