Simplify the question in the picture

Answer:

l = ( 2√3 + 1 ) m

Step-by-step explanation:

A = l²√3/4

3√3 = l²√3/4

12√3 = l²√3

l² = √12

l² = √2²·3

l = 2√3 m

when the length of each side increases by 1 meter

l = ( 2√3 + 1 ) m

Answer:

5.5 m

Step-by-step explanation:

The area of equilateral triangle formula:

increased area:

√3/4(a+1)²= A + 3√3

Answer:

-55/3

Step-by-step explanation:

6x+12=3x-43

Subtract 3x from both sides:

3x+12=-43

Subtract 12 from both sides:

3x=-55

Divide both sides by 3:

x=-55/3

Hope this helps!

Answer:

x = -18.33 or x = -55/3 (fraction form)

Step-by-step explanation:

first, you need to get x on one side,

6x + 12 = 3x - 43

-3x           -3x

3x + 12 = -43

then, get the x by itself.

3x + 12 = -43

      -12     -12

3x = -55

divide both sides by three

3x/3 = -55/3

x = -18.33

and you have your answer!

Answer:

85.095cm³

Step-by-step explanation:

Volume of cone is ¹/³ πr ²h

volume = ¹/³ x 3.142 x (2.5)² x 13

volume = 85.095cm³

Answer:

A = 2 1/2 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 3 * 5/6

A = 5/2 ft^2

A = 2 1/2 ft^2

Answer:

A=2.5 ft^2

Step-by-step explanation:

A=3

A=3(5/6)

A=2.5 ft^2

Answer:

m∠Q ≈ 53°

Step-by-step explanation:

To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.

In this situation, 'A' will be ∠Q. Therefore:

17² = 18² + 20² -2(18)(20)cosQ

Simplify:

289 = 324 + 400 -2(360)cosQ

Continue simplifying down:

-435 = -720cosQ

Divide both sides by '-720':

0.604 = cosQ

[tex]cos^{-1}Q = 0.604[/tex]

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.

Based on the calculations, the measure of angle Q to the nearest whole degree is equal to 53°.

Based on the triangle attached in the image above, we can deduce the following parameters:

In this scenario, we would apply the cosine trigonometry function to determine the measure of angle Q:

MN² = QM² + QN² - 2(QM)(QN)cosθ

17² = 18² + 20² - 2(18)(20)cosθ

289 = 324 + 400 - 720cosθ

720cosθ = 724 - 289

720cosθ = 435

θ = cos⁻¹(435/720)

θ = cos⁻¹0.6042

θ = 52.8 ≈ 53°.

Read more on cosine function here: brainly.com/question/4599903

#SPJ2

Answer:

Yes it is

Step-by-step explanation:

If you us a formula you can predict data points that are not on a graph

Answer:

B

Step-by-step explanation:

A has a sqrt(x) as a term, which makes it not a polynomial

Answer:

Option (2).

Step-by-step explanation:

In the figure attached,

PB is a tangent and m(arc VU)= 80°, m(arc ST) = 40°

By theorem of angle between intersecting secants,

"If two secants have been drawn to a circle from a point outside the circle, then the angle between the secants will measure the half of the difference of the intercepted arcs."

[tex](m\angle 1)=\frac{1}{2}(m\widehat{VU}-m\widehat{ST})[/tex]

          [tex]=\frac{1}{2}(80-40)[/tex]

          = 20°

Therefore, Option (2) will be the answer.

Answer:

13 = 15(x) - 23

x = 12/5 or 2 2/5

Answer:

Linear. The choice A is correct.

Step-by-step explanation:

Answer:

Step-by-step explanation:

this graph is probably : 2(x+1)^(2)+5:

it was transformed :

vertically stretched by a factor of 2

left 1 unit

up 5 units

from the graph, we can see that the points are (-1, 5) and (-2, 7)

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

m=(7-5)/(-2-(-1))

m=2/-1

m=-2

Answer:

A Polynomial can be expressed in terms that only have positive integer exponents and the operations of addition, subtraction, and multiplication. In other words, it must be possible to write the expression without division.

Step-by-step explanation:

EXAMPLES :

An algebraic expression is of the form of a0+a1x+a2x2+.........+anx^n,where n is positive integer and the coefficients a0,a1,A2,.......an are constants with an is not equal to 0 is called a polynomial of degree.

A polynomial in X is denoted by p(x),q(x),g(x) etc.

Examples:

p(X)=x^2-3x+2 is a polynomial in X.

Similarly,the polynomial in two variables X and y are generally denoted by p(x,y) and polynomial in three variables is denoted by p(x,y,z).

Hope it helps

Good luck on your assignment...

Answer:

x equals quantity of 3 plus or minus I square root of 23 all over 2

Step-by-step explanation:

[tex]answer \\ 187 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.

Step-by-step explanation:

The formula for a cone is

[tex]\pi \times r {}^{2} \times \frac{h}{3} [/tex]

From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:

[tex]r {}^{2} \times \frac{h}{3} = 540[/tex]

Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:

[tex]r {}^{2} h = 1620[/tex]

Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:

[tex]r \times h = 40.249[/tex]

If I knew the radius. I could get the answer by dividing both sides by the radius.

Good luck!

Step-by-step explanation:

EL ÁNGULO DE LA LINEA HORIZONTAL ES 0° EL ÁNGULO DE LA LINEA

VERTICAL ES 90° Y EL ÁNGULO DE LA LINEA DE ENMEDIO ES 3=° CON

RESPECTO A LA VERTICAL. ES DECIR 55° CON RESPECTO A LA

HORIZOANTAL, PERO ESTÁ ESCRITO 5x!, ENTONCES

5x° = 55°

DESPEJA x

x = 55°/5° = 11

Answer:

210 KM

Step-by-step explanation:

first 20minutes is 1/3 of an hour

20/60=1/3 hour

how far does the car drive =time *speed

=2 1/3 hour *90= 210 km

i wiil be happy if you mark me as brainliest

Answer:

Second choice: i

Square root of -1 is an imaginary number, represented as i.

Please mark as BRAINLIEST! Thanks!

Answer:

[tex]-3\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

11 +6i

Step-by-step explanation:

(3+4i)+(8+2i)

Add the real portions

3+8 = 11

Add the imaginary portions

4i+2i = 6i

The complex number in a+bi form is

11 +6i

Answer:

[tex] = 11 + 6i[/tex]

Step-by-step explanation:

[tex](3 + 4i) + (8 + 2i) \\ 3 + 4i + 8 + 2i \\ = 11 + 6i[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

V = 4/3(π)(3)^3

V= 4/3(27)π

V= 36π

V = 113.1 cm^3

Answer: 9

Explanation: 3 x 3 is the gcf of 36 and 81. gcf (36,81) = 9.

Answer:

its 9

Step-by-step explanation:The prime factorization of 81 is: 3 x 3 x 3 x 3.

. The prime factors and multiplicities 36 and 81 have in common are: 3 x 3.

so 9

Answer:

no it is not

Step-by-step explanation:

Answer:

3,456

Step-by-step explanation:

12x18x(8x2)= 3,456

Answer:

B

Step-by-step explanation:

1 and 2 thirds gallons per minute

Answer:

Using the mid-term break formula for all of them.

a) x²+7x+12

= x²+3x+4x+12

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

= (x+4)(x+3)

b) x²+6x+8

= x²+2x+4x+8

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

= (x+4)(x+2)

c) x²+5x+6

= x²+2x+3x+6

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

= (x=3)(x+2)

d) x²+8x+7

= x²+7x+x+7

= x(x+7)+1(x+7)

= (x+1)(x+7)

Answer:

a) the middle number is seven and the last number is 12

factorising means we want something like (x + ___) (x +__)

Which number go into the blanks?

we need 2 numbers that add together to get 7 multiplied together to get 12.

3 + 4 is equal to 7

3x4=12

Answer:

(x+3)(x+4)

b) the middle number is 6 and the last number is 8

Factoring means we want something like

(x+___)(x+___)

which number go to the blanks?

We need two numbers that add together to get 6 and multiply together to get 8

2+4=6

2x4=8

Answer:

(x+2)(x+4)

c) the middle number is 5 and the last number is 6

we need two numbers that add together to get 5 and multiply together to get 6

2 + 3 is 5 and 2 x 3=6

Answer:

(x+2)(x+3)

Answer:

d) (x+1)(x+7)

Answer:

see below

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + (y-k) ^2 = r^2

( x-3)^2 + (y+4) ^2 = 36

Rewriting this equation

( x - 3)^2 + ( y - -4)^2 = 6^2

The center is at (3,-4) and the radius is at 6

Susan did not use the formula correctly.

It is x-h and y-k so she needed to rewrite to get the equation in the proper form

Also the radius is r^2 not r/2

Answer:

-1/2x<-12

Multiply through by 2

-x < -24

Multiply through by -1

x > 24

Hope this helps.