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3 years ago

Simplify (2x+1)^2what is the answer?

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

3 0

Answer:

Step-by-step explanation:

4x^2+4x+1

kari74 [83]3 years ago

3 0

The answer is: 4x^2+4x+1

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Find the area of following rhombuses. Round your answers to the nearest tenth if<br> necessary.

polet [3.4K]

Answer:

$Area =55.4ft^2$

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

$\tan(60) = \frac{4\sqrt 3}{x}$

Solve for x

$x = \frac{4\sqrt 3}{\tan(60)}$

$\tan(60) = \sqrt 3$

So:

$x = \frac{4\sqrt 3}{\sqrt 3}$

$x = 4$

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

$Base = 4\sqrt 3$

$Height = 4$

So, the area of the rhombus is 4 times the area of 1 triangle

$Area = 4 * \frac{1}{2} * Base * Height$

$Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4$

$Area =2 * 4\sqrt 3 * 4$

$Area =55.4ft^2$

7 0

3 years ago

Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost 40

Sholpan [36]

There were 40 advance tickets sold, and 30 same-day tickets sold.

8 0

3 years ago

Read 2 more answers

Hello, happy Friday, I am just here with some geometry questions.

stealth61 [152]

Answer:

m<D = 105

Step-by-step explanation:

So, Triangle STU and DEF are similar triangles, because their corresponding side lengths have the same ratio.

For example FD can be multiplied by 2.5 to get SU, and EF can be multiplied by 2.5 to get TU, and ED can me multiplied by 2.5 to get 15.

Anyways, since the two triangles are similar, they have the same angle measures, meaning that angle D can be found by subtracting 46 and 25 from 180 degrees to find the missing angle, which is 105 degrees. I hope that helps.

7 0

3 years ago

Read 2 more answers

Find all solutions to the equation. 2sin theta - squareroot 3 = 0

Xelga [282]

Answer:

$\theta$ =2mπ + π/3 for m ∈ Z.

Step-by-step explanation:

Given the equation $2sin\theta - \sqrt{3} = 0$ , we are to find all the values of $\theta$ that satisfies the equation.

$2sin\theta - \sqrt{3} = 0\\\\2sin\theta = \sqrt{3} \\\\sin\theta = \sqrt{3}/2 \\\\\theta = sin{-1} \sqrt{3}/2 \\\\\theta = 60^0$

General solution for sin $\theta$ is $\theta$ = nπ + (-1)ⁿ ∝, where n ∈ Z.

If n is an even number say 2m, then $\theta$ = (2m)π + ∝ where ∝ = 60° = π/3

Hence, the general solution to the equation will be $\theta$ = 2mπ + π/3 for m ∈ Z.

8 0

3 years ago

PLEASE SHOW ALL STEPS!!!!

sukhopar [10]

Answer:

Center (1,3) and radius 6

Step-by-step explanation:

We must complete the square to find the center and radius of the circle.

First make sure the x and y squared terms have 1 as their coefficients. We also make sure x and y terms together.

$x^2-2x+y^2-6y=26$

We now create space between the x and y terms with parenthesis.

$(x^2-2x)+(y^2-6y)=26$

We complete the square by taking the middle terms -2x and the -6y - divide each and square them.

$\frac{-2}{2} =(-1)^{2} =1$

$\frac{-6}{2} =(-3)^{2} =9$

We add the squares to both sides.

$(x^2-2x+1)+(y^2-6y+9)=26+1+9$

Simplify.

$(x^2-2x+1)+(y^2-6y+9)=36$

And write the quadratics in factored form.

$(x-1)^{2} +(y-3)^{2} =36$

The center is (h,k) or (1,3). The radius is the square root of 36 which is 6.

7 0

3 years ago

Simplify (2x+1)^2what is the answer? ​

Simplify (2x+1)^2what is the answer?