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3 years ago

10

The figure consists of two quarter circles and a square.

2 answers:

Serggg [28]3 years ago

4 0

The answer is b thank you

amm18123 years ago

4 0

Answer: Second Option is correct.

Step-by-step explanation:

Since we have given that

Quadrant with radius 16 inches and angle 90° .

$\text{Length of an arc of quadrant}=\frac{\theta}{360\textdegree}2\times \pi \times r\\\\\text{Length of an arc of quadrant}=\frac{1}{4}\times 2\times 3.14\times 16\\\\\text{Length of an arc of quadrant}=25.12$

Since there are two quadrants:

So, Perimeter of quadrants is given by

$25.12\times 2\\\\50.24\ in.$

Perimeter of this figure is given by

$50.24+16+16+16+16\\\\=114.24\ in$

Hence, Second Option is correct.

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Mr. Clifton was preparing for his upcoming birthday party. He ordered 51 white balloons and 47 red balloons. As he walked to his

Andrej [43]

Answer:

28 i think

Step-by-step explanation:

51+47=98

98-12 the ones that flew away that takes it to 86

86/3 the 3 balloons buntch than is 28

p.s. i mght of got some equations wrong but this is what i got

4 0

3 years ago

Solve for x {x+4]= 6

wlad13 [49]

The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

<h3>What is a quadratic equation?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have an equation:

x(x + 4) = 6

By distributive property:

x² + 4x = 6

x² + 4x - 6 = 0

a = 1, b = 4, c = -6

Plugging all the values in the formula:

$\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}$

After calculating:

$\rm x = \dfrac{-4 \pm\sqrt{40}}{2}$

$\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}$

Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

Learn more about quadratic equations here:

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6 0

2 years ago

Read 2 more answers

Which of the following equations have complex roots?

mestny [16]

Answer:

A

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

$b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0$

Evaluate the discriminant of each of the given equations.

$\textsf{A.} \quad 3x^2+2=0$

$\implies a=3, \quad b=0, \quad c=2$

$\implies b^2-4ac=0^2-4(3)(2)=-24$

As -24 < 0 the equation will have complex roots.

$\textsf{B.} \quad 2x^2+1=7x$

$\implies 2x^2-7x+1=0$

$\implies a=2, \quad b=-7, \quad c=1$

$\implies b^2-4ac= (-7)^2-4(2)(1)=41$

As 41 > 0 the equation does not have complex roots.

$\textsf{C.} \quad 3x^2-1=6x$

$\implies 3x^2-6x-1=0$

$\implies a=3, \quad b=-6, \quad c=-1$

$\implies b^2-4ac=(-6)^2-4(3)(-1)=48$

As 48 > 0 the equation does not have complex roots.

$\textsf{D.} \quad 2x^2-1=5x$

$\implies 2x^2-5x-1=0$

$\implies a=2, \quad b=-5, \quad c=-1$

$\implies b^2-4ac=(-5)^2-4(2)(-1)=33$

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

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brainly.com/question/27869538

Learn more about complex roots here:

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6 0

2 years ago

how many three foot wide pieces of fencing are needed to surround the perimeter of a yard that is 15 feet long and 24 feet wide?

NeX [460]

Answer:

u need 78 feet of the three foot wide fencing

5 0

3 years ago

Im bored someone interact with me lol

lana66690 [7]

Answer:

oki wsp

Step-by-step explanation:

6 0

3 years ago

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