The ratio of 6th-grade students to 8th-grade students in a school is 4 to 5. How many 6th grade students are there if a school has 360 8th grade students

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

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

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:

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:

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

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:

3/2 pages per hour

Step-by-step explanation:

1 : 2/3

= 3/2 : 1

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:

discrete. discrete can be used to describe graphs that involve variables such as customers and tickets.

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:

32/b

Step-by-step explanation:

b will be divided out of 32

Answer:

Each group received 3.75 pounds

You divide 15 by 4 and get 3.75

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:

The answer is a. 864

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:

61.25 dollars

Step-by-step explanation:

We can use a ratio to solve

4 yards            7 yards

--------------  = -----------------

35 dollars         x dollars

Using cross products

4x = 35*7

4x =245

Divide each side by 4

4x/4 = 245/4

x =61.25

Answer:

580 girls and boys

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:

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:

your answers will be

<E=25

M<F=65

M<G=90

Step-by-step explanation:

i hope it helps

have a nice day!!

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:

no

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

i help you

Answer:

Exact Form:

2 √ 34

Decimal Form:

11.66190378

The distance between points (-7, 8) and (2, 8) is 9 units.

The distance d between two points [tex](x_{1},y_{1}),(x_{2},y_{2})[/tex] is,[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }[/tex]

For given question,

Let [tex](x_{1},y_{1}) = (-7,8),(x_{2},y_{2})=(2,8)[/tex]

Let d be the distance between two points.

Using distance formula,

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}[/tex]

[tex]d=\sqrt{(2-(-7))^{2}+ (8-8)^{2} }[/tex]

[tex]d=\sqrt{(2+7)^{2}+0^{2}[/tex]

[tex]d=\sqrt{9^{2}+0 }[/tex]

[tex]d=9[/tex]  units

Hence, the distance between points (-7, 8) and (2, 8) is 9 units.

Learn more about distance between two points here:

https://brainly.com/question/4385475

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Answer:

A

Step-by-step explanation:

Answer: a

Step-by-step explanation: