Match each vertex in ABC to its corresponding vertex in the dashed triangle.

Answer:

[tex]A=2x^2+8x+6\ yards^2[/tex]

Step-by-step explanation:

Step 1, finding the dimensions:

The width of Stacy's room is x, so the length must be 2x. (Her length of the room is two times the width.)

Her sister's room is 2 yards longer and 3 yards wider than Stacy's room. We have:

Length: [tex]2x+2[/tex]

Width: [tex]x+3[/tex]

Great! Let's find the area now.

Step 2, finding the area:

The area of a rectangle is [tex]A=l*w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle. We already know both, so we can plug it in the equation:

[tex]A=(2x+2)(x+3)[/tex]

We can expand and simplify:

[tex]A=2x^2+2x+6x+6\\A=2x^2+8x+6\ yards^2[/tex]

I hope this helps! Let me know if you have any questions :)

Answer and Step-by-step explanation:

To find the answer, we need to get S by itself. To do so, we multiply both sides of the inequality by 9.

S > 108

So, S is greater than 108.

#teamtrees #PAW (Plant And Water)

Answer:

[tex]x=2\sqrt3\ km[/tex]

Step-by-step explanation:

Given that,

The base of a triangle = 2 km

The perpendicular height of the triangle = [tex]2\sqrt{2} \ km[/tex]

We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :

[tex]x=\sqrt{(2\sqrt{2})^2+2^2 } \\\\=2\sqrt{2+1 } \\\\=2\sqrt3\ km[/tex]

So, the value of x is equal to [tex]2\sqrt3\ km[/tex].

Answer:

5,1

Step-by-step explanation:

x= tan27⁰ x 10 ≈ 5,1

.....

Answer:

b or c or 5.1

Step-by-step explanation:

The basic trig identity that does not involve the hypotenuse is the Tan(theta).

Tan(theta) = opposite / adjacent. That definition applies only to a right triangle. It has to be modified if the triangle is some other kind.

The opposite side is the one not making up the reference angle (x in this case).

The adjacent side is the one making up the angle that is not the hypotenuse.

opposite side = x

adjacent side = 10

theta = 27 degrees.

Tan(theta) = opposite / adjacent

Tan(27) = x / 10

Tan(27) = 0.5095

0.5095 = x / 10               Multiply by 10

10*0.5095 = x

x = 5.095

It rounds to 5.1

No one except the answer key can know whether to choose b or c.

Answer:

Step-by-step explanation:

a=4 square units

b=9 square units

sqrt (4+9)

(sqrt(13))^2

c= 13 square units

Divide capacity by sections:

5782 / 24 = 240.9167

The number of seats in each section is needs to be a whole number so there are 240 seats per section:

240 seats per section x 24 sections = 5,760 seats.

Priority seats is capacity - total section seats:

5782 - 5760 = 22

There are 22 priority seats

Answer:

[tex]m\angle Y=30^{\circ}[/tex]

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

[tex]\cos Y=\frac{42\sqrt{3}}{84},\\Y=\arccos(\frac{42\sqrt{3}}{84})=\boxed{30^{\circ}}[/tex]

Answer:

option 1

Step-by-step explanation:

[tex]Area = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}[/tex]

Answer:

x < 3

Step-by-step explanation:

if the value under the square root sign is negative the result is imaginary.

Answers:

1.) x - 3, x < -3

2.) x - 3, x>3

3.) x - 3, -3 <_ x > 3

4.) 2/5, 3/6

5.) 8, 10

Answer:

20 and 40

Step-by-step explanation:

20 doubled is 40

The difference is 20

Hope this helps! :)

Answer:

20,20

(20 x 2) - 20 = 20

Step-by-step explanation:

2x=y

x-y=20

(20 x 2) - 20 = 20

Answer:

Step-by-step explanation:

to convert the fraction to percentage just multilpy the fraction will 100%

1/5

1/5*100%

100%/5

20%

12/100

3/25

0.12

or in division decimal point goes to the right side

12 can also be written as 12.00 so move the decimal point 2 unit right which becomes .12 .In this case we should move 2 units right because there it is divides by hundred and there are 2 zeros in number hundred.Remember how many units to move right depends upon the number it is divided with.

1/5 is equal to 20% when expressed as a percentage and 12/100 is equal to 0.12 when expressed as a decimal.

To convert 1/5 to a percentage, we can multiply it by 100.

(1/5) * 100 = 20%

Therefore, 1/5 is equal to 20% when expressed as a percentage.

To convert 12/100 to a decimal, we divide the numerator (12) by the denominator (100).

12 ÷ 100 = 0.12

Therefore, 12/100 is equal to 0.12 when expressed as a decimal.

When converting a fraction to a percentage, we multiply the fraction by 100. In this case, 1/5 is equivalent to 0.2 as a decimal. Multiplying it by 100 gives us 20%, expressing the fraction as a percentage.

When converting a fraction to a decimal, we divide the numerator by the denominator. In the case of 12/100, dividing 12 by 100 gives us the decimal representation of 0.12.

To learn more about conversions click on,

https://brainly.com/question/30444368

#SPJ2

answer:

20 out of 798

Step-by-step explanation:

6x4=20

Answer: 20,403.72ft3

Step-by-step explanation:Volume formula for cylinder is   = 2h

V=Volume

=pi=3.14

r=radius

h=height

Step 1: find the radius.

Diameter=38

so divide 38 by 2

=19

Step 2: Plug in and solve for Volume.

V=3.14x19^2x18

= V=1133.54x18

= V=20,403.72

Answer:

3000 Meters?

Step-by-step explanation:

I say the question mark because kilo quite literally just means 1000. If she ran 3 of these sets of Kilometers, that would be 3000.

Answer:

3000 meter hope this helps

12 students

Step-by-step explanation:

40 % ×30 students = 1200 ÷ 100% =12students

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

Background of the Discriminant

The discriminant [tex]b^2-4ac[/tex] applies to quadratic equations when they are organised in standard form: [tex]ax^2+bx+c=0[/tex].

All quadratic equations can be solved with the quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex].

When [tex]b^2-4ac[/tex] is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

Solving the Problem

[tex]0=-2x^2+3[/tex]

We are given above equation. Notice how there are values for a and c but none for b, as there is no bx term. This means that the value of b is 0. We can rewrite the equation so it shows this:

[tex]0=-2x^2+0x+3[/tex]

Now that we have the values of a, b and c, we can plug them into the discriminant:

[tex]D=0^2-4(-2)(3)\\D=-4(-2)(3)\\D=-4(-6)\\D=24[/tex]

Because 24 is positive, there are two real, distinct solutions for this equation.

I hope this helps!

Answer:

C and E

Step-by-step explanation:

The one on the left in the tens place, is ten times more than the one on the right

Answer:

192 i think

Step-by-step explanation:

Answer:

x = 60°

Step-by-step explanation:

∠ CGE = ∠ FGD = 30° ( vertical angles )

∠ CGB = 90° , then

x + 30° = 90° ( subtract 30° from both sides )

x = 60°

Answer:

-13.04.

Step-by-step explanation:

Answer:

It's the third option.

Step-by-step explanation:

the answer is b and c

sorry if im wrong

Answer:

There isnt a graph.

Step-by-step explanation:

Answer:

0.3 if you typed the calculating correctly.

because then all operations are of the same priority and ranking, and we go simply from left to right :

0.5/0.5 = 1

and then there is 1 × 0.3 = 0.3

but if you missed to write any brackets like for

0.5/(0.5 × 0.3)

then this goes differently, because now 0.3 is in the bottom part of the division/quotient.

we can still shorten the expression, as the 0.5 on top and on the bottom eliminate each other to 1. but it leaves us with

1/0.3

now, what is 0.3 ?

it is actually 3/10.

so, we have 1/(3/10) which is the same as

(1/1) / (3/10)

to solve this, the two inner numbers of the quotient multiply and the two outer numbers multiply giving us

(1×10) / (1×3) = 10 / 3 = 3.33333...

so, please pick the solution that best fits your actual question.

Answer:

V=864 cubic feet

Step-by-step explanation:

Volume of a rectangular prism is Length x width x depth

So V=12x8x9

V=864 Cubic feet

Answer:

x = 2.69 or x = -0.19

Step-by-step explanation:

Given:

2x² − 5x − 1 = 0

x = {-b ± √b² - 4ac} / 2a

a = 2

b = -5

c = -1

x = {-b ± √b² - 4ac} / 2a

= {-(-5) ± √(-5)² - 4(2)(-1)} / 2 * 2

= {5 ± √25 - (-8)} / 4

= {5 ± √25 + 8} / 4

= 5 ± √33 / 4

= 5 ± 5.75 /4

x = 5/4 + 5.75/4 or x = 5/4 - 5.75/4

x = 10.75/4 or x = -0.75/4

x = 2.69 or x = -0.19

Answer:

The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Step-by-step explanation: