-x + 6y = -8
x-6y=8

Here , we are going to use Trigonometric ratios.

In given right angled ∆ ;

[tex]{:\implies \quad \sf \dfrac{x}{18}=\sin (60^{\circ}) \quad \bigg\{ \because \sin (\theta)=\dfrac{P}{H}\bigg\}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{18\sqrt{3}}{2} \quad \bigg\{\because \sin (60^{\circ})=\dfrac{\sqrt{3}}{2}\bigg\}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad x=9\sqrt{3} \: units}[/tex]

Also;

[tex]{:\implies \quad \sf \dfrac{y}{18}=\cos (60^{\circ}) \quad \bigg\{ \because \cos (\theta)=\dfrac{B}{H}\bigg\}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{18}{2} \quad \bigg\{\because \cos (60^{\circ})=\dfrac{1}{2}\bigg\}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad y=9 \: units}[/tex]

Hence , The required values for x and y are 9√3 and 9 units

Answer:

Each group received 3.75 pounds

You divide 15 by 4 and get 3.75

Answer:

32/b

Step-by-step explanation:

b will be divided out of 32

Answer:

no

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

i help you

Answer:

your answers will be

<E=25

M<F=65

M<G=90

Step-by-step explanation:

i hope it helps

have a nice day!!

The graph is missing, so i have attached it.

Answer:

$0.40 per minute

Step-by-step explanation:

From the attached graph, we can see that it is a linear graph.

Thus, to find the unit rate paid by Ken, we will calculate the slope by picking two coordinate points with thick dots on the blue and calculating it.

Point 1 = (15, 6)

Point 2 = (35, 14)

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

Slope = (14 - 6)/(35 - 15)

Slope = 8/20

Slope = $0.40 per minute

Step-by-step explanation:

radius of circle = 5 yd ------ ( given )

height of triangle = 16 yd --- ( given )

base of triangle = 16 yd ----- ( given )

area of triangle = 1/2 × base × height

= 1/2 × 16 × 16

= 128 yd²

area of circle = π × radius²

= 3.14 × 5 × 5 --- ( π = 3.14 )

= 78.5 yd²

area of shaded portion = area of triangle - area of circle

area of shaded portion= 128 yd²-78.5 yd²

area of shaded portion = 49.5 yd²

Answer:

. g(x)=2x^2+10x+12=2x²+6x+4x+12=2x(x+3)+4(x+3)

=(x+3)(2x+4)=2(x+2)(x+3)

Answer:

2(x + 3)(x + 2)

Step-by-step explanation:

All three terms of g(x)=2x^2+10x+12 have the factor 2, so

g(x)=2x^2+10x+12 = 2(x^2 + 5x + 6).

This can be factored further, into:

                                 2(x + 3)(x + 2)

Answer:

380

Step-by-step explanation:

This is an airthmatic sequence

we can use the following equation to find the nth term

a₁+(n-1)d

where the common difference (d) is 5

and the first term (a₁) is 10

and n is 75

we have

10+(75-1)*5

10+370

380

Answer:

16.5 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the other leg, then

x² + 13² = 21²

x² + 169 = 441 ( subtract 169 from both sides )

x² = 272 ( take the square root of both sides )

x = [tex]\sqrt{272}[/tex] ≈ 16.5 cm ( to the nearest tenth )

Answer: Just pretend to fall or ask a quenstion then you chould start talking to some one

Step-by-step explanation:

Answer:

f(x) will grow by 1.8 times for every x increment

Step-by-step explanation:

Answer:

f(x) grows 1.8 times for every x increment

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Answer:

15 students walk to school

Step-by-step explanation:

42 - total students

42 - 23 = 19

----

23 girl students

19 male students

----

19 - 6 = 13

13 - 2 = 11

--

11 - 7 = 3

3 + 2 = 5

--

10 girls walk to school

5 boys walk to school

--

10 + 5 = 15

Answer:

Step-by-step explanation:

Total members = 300

               Under 18                       18 and above                 Total

Male         180 - 159 =21                    159                              180

Female         36                           120 - 36 = 84                  300 - 180 = 120

Total          21+36 = 57                 159 + 84 =243                 300

Answer:

180+54sqrt3

You have to use the formula that is contained within the lessons, the answer you should have before you format it like this is: 273.530743609

Answer: x = 2√3.

Step-by-step explanation:

[tex]x^{2} +6^{2} =(2x)^{2}\\\\x^{2} +36=4x^{2} \\\\4x^{2}-x^{2} -36=0\\\\3x^{2} -36=0\\\\3(x^{2} -12)=0\\\\x^{2} -12=0\\\\x^{2} =12\\\\x=\sqrt{12} =2\sqrt{3}[/tex]

Answer: 38% of fish decrease when passing through a single dam

Step-by-step explanation: you would take 100% - 62% which equals 38%

Answer:

$535

Step-by-step explanation:  $681 + 2,150 = 2831   $2831- 691 = 2,140  $2,140/4 = 535 which means they need to sell 535 candy more.

Answer:

20

Step-by-step explanation:

Given:

Number of spheres = 2

Number of prisms = 3

Number of pyramids = 5

To find:

The probability that a pyramid will be selected.

Solution:

We have,

Favorable outcomes = Number of pyramids

                                  = 5

Total outcomes = Total number of figures

                          = [tex]2+3+5[/tex]

                          = [tex]10[/tex]

Now, the required probability is:

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{5}{10}[/tex]

[tex]\text{Probability}=0.5[/tex]

Therefore, the probability that a pyramid will be selected is 0.5.

Answer:

add chart! i dont want there to be point stealers so when u add a chart ill add u an answer

Step-by-step explanation:

Answer:

It is dilated by the scale factor

Step-by-step explanation:

For example is one line is 2 units long and  the image of that line was 4 units long the scale factor would be 2. (2 x 2 = 4.) If it was the other way around with the 4 as the original line and the 2 as the image line the scale factor would be 1/2. (1/2 x 4 = 2)

Answer:

260 units

explanation:

A dilation with a scale factor is noting but an increase in size of geometrical figure by a certain value.in the circumstances the line AB is 5 units. being a line AB has no width, so it only increases in length. if you want new length, it's simple.all that's nessary multiply the orgin length by the scale factor.

5.52=260

the solution is 260 units.

Answer:

Step-by-step explanation:

Here, we want to graph the given line

Mathematically, to graph a line, we will

need to work with the intercepts

The general equation of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

with respect to the question, 4 is the y-intercept

we have this point as (0,4)

To get the x intercept, we will need to substitute 0 for the value of y

So, we have ;

0 = -x + 4

x = 4

The x-intercept too is 4

This is the point (4,0)

So by joining the points (0,4) and (4,0);

we have successfully graphed the line

It can be found as an attachment below