For which equation does the point (2, 6) represent a possible solution?

Answer:

D) x=9 ; y=3√(3)

Step-by-step explanation:

[tex]Sin(30)=\cfrac{y}{6\sqrt{3} }[/tex]

[tex]\cfrac{18y}{6\sqrt{3}}=18\sin \left(30^{\circ \:}\right)[/tex]

[tex]\sqrt{3}y=9[/tex]

[tex]\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}[/tex]

[tex]y=3\sqrt{3}[/tex]

~

[tex]Cos(30)=\cfrac{x}{6\sqrt{3} }[/tex]

[tex]\cfrac{18x}{6\sqrt{3}}=18\cos \left(30^{\circ \:}\right)[/tex]

[tex]\sqrt{3}x=9\sqrt{3}[/tex]

[tex]\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}[/tex]

[tex]x=9[/tex]

Therefore, x=9 and y=3√(3)

~

Answer:

170 units

Step-by-step explanation:

60+60+25+25=170

The 60 and 60 can be found by adding the length, 20+35+5.

The 25 and 25 can be found by taking 55+8-(30+8) for the widths.

Answer:

Step-by-step explanation:

Length = DE =OP

OP = 5 + 20 + 35 = 60 ft

Length of the rectangle CBED = 60ft

Width CD = CJ - (DG +GJ)

                = 55 - (8 + 30)

                = 55 - 38

                 = 17 ft

Area of CBED = length * width

                        = 60 * 17

                         = 1020 ft²

Answer:

they are similar

Step-by-step explanation:

a scale is a normal number scale while a scale factor is a scale but instead of normal numbers it uses factors

Let's see

Scale usually denotes unit rate or a numerical value change mentioned above graphs

Scale factor is same but it uses factors .

like

Answer:

for this you can use online calculator

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

=> 4s[tex]{}^{3} [/tex]

=> 4(2)[tex]{}^{3} [/tex]

=> 4(2×2×2)

=> 4(8)

=> 32

Answer: 3 liters in a tank of volume 7.32m^3

Step-by-step explanation:

The length of the longer side of the rectangle is 8.78cm

The formula for calculating the area of a rectangle is expressed as:

A = lw

For a semicircle;

A = πr²/2

r is the radius

Area of the figure = lw + πr²/2

Substitute the given paramters

41.4 = 4w +  π(2)²/2

41.4 = 4w + 6.28
4w = 41.4 - 6.28

4w = 35.12

w = 35.12/4

w=  8.78 cm

Hence the length of the longer side of the rectangle is 8.78cm

Learn more on area of composite figure here: https://brainly.com/question/21135654

Answer: y= -3/5x+2.8

Answer:

-15=x-16

x-16= -15

x= -15+16

x=1

Answer:

Step-by-step explanation:

The lateral surface area excludes the area of top and bottom faces.

Given is the right pentagonal prism with side length of 7 in and height of 12 in.

The lateral area is:

Correct choice is A

Answer:

[tex]2\sqrt10[/tex]

6.3 to the nearest 10th

Step-by-step explanation:

Hope this helped :)

Answer:

the mean is the average of a set of data the mode is the most frequent number that occurs in a set of data, and the median is the number in the middle of the set of data

Step-by-step explanation:

Answer:

16% Increase

Step-by-step explanation:

I don't really know how to explain

Answer:

2/10

Step-by-step explanation:

Keep the bases the same so we are dealing with 3 - 1 so we get 2. 2/10 of snow falls in the evening than in the morning.

Have an amazing day!

PLEASE RATE!!!

Answer:

x is greater than or equal to 11

Step-by-step explanation:

Don't have explanation!! Extremely sorry!

459.6 - 150 = 309.6

309.6 / 12 = $25.80 a month for 12 months

Answer:

x=√-5

Step-by-step explanation:

8-3x=√(4x^2+20)+8

-8                          -8

-3x^2=√(4x^2+20)^2

-3x^2=4x^2+20

-4x^2=20

divide both sides by -4

x^2=-5

√(x^2)=√-5

x=√-5

Answer:

(a) 3 apples (b) no

Step-by-step explanation:

(a) 1 bannana = 0.50

    3 apples = 3.00

    total = 3.50

(b) Not possible because 2 bannanas = 1 dollar 3 bananas = 1.50 then 1.50 + 2.00 apples = 3.50

Answer:

2(8w + 1)

Step-by-step explanation:

Look on either side of the plus sign. What ever you see that is common is a common factor. In this case it is also the greatest common factor.

2 appears on both sides of the plus sign.

2(16w/2 + 2/2)

Hello.

Remember that factoring is the opposite of distributing.

Factoring looks like this:

ab+ac=a(b+c) [tex]\longmapsto[/tex] factor out the greatest common factor

In this case, the Greatest Common Factor is

2

Now, divide both terms of the expression by 2.

2(8w+1)

Is this right? We can easily check by using the Distributive Property and distributing 2. Then, we can compare both expressions and see if we ended up with the original expression.

16w+2

See? We have the original expression.

I hope it helps.

Have an awesome day.

[tex]\boxed{imperturbability}[/tex]

Answer:

72 +6+2 equal80

Step-by-step explanation:

have to pluse all

Answer:

can you take picture for the question?

Answer:

6°F

Step-by-step explanation:

First, subtract 46 from 94 (94-46) and you will get 48.

Then, divide 48÷8 (because the time period is 8 days) and you will get 6.

Therefore, the daily temperature change is 6°F.

Answer:

I think the answer is "A"

Answer:

0.83km/h

Step-by-step explanation:

v (velocity/speed) = d (distance)/t (time)

v = 5km/6h

v = 0.83km/h

As no diagrams attached provided the formulas which can helps you to solve by yourself

The expression to represent the perimeter of Melissa’s garden in terms of x is P = 8x + 14

The formula for calculating the perimeter of a rectangle is given as

P = 2(x+ y)

where;

x = 3x + 2

y = x + 5

Substitute

P = 2(3x + 2 + x + 5)

P = 2(4x + 7)
P = 8x + 14

Hence the expression to represent the perimeter of Melissa’s garden in terms of x is P = 8x + 14

Learn more on perimeter of rectangle here: https://brainly.com/question/19819849

#SPJ6

Answer:

x=w/m

Step-by-step explanation:

x = w/m, this is the answer its really no explanation brainly police dont take this down you can check for yourselves.

Answer: 4^5

Step-by-step explanation:

4^5. when you divide exponents you just subtract them, so -3-(-8) is 5.