Is the following number rational or irrational?

\sqrt{99}

(Choice A)
Rational

(Choice B)
Irrational

Answer:

1.26 x [tex]10^{7}[/tex]

Step-by-step explanation:

Answer: D) Trapezoid

Step-by-step explanation:

D is the correct answer

The surface area of the pyramid is 160ft^2

To find the surface area of a pyramid, we need to calculate the sum of the areas of all its faces. A pyramid has 4 triangular faces and 1 square base. The formula for the surface area of a pyramid is: Surface Area = Base Area + (0.5 × Perimeter of Base × Slant Height). In this case, the base side of the pyramid is 8ft and the slant height is 6ft.

First, we calculate the perimeter of the square base, which is 4 times the length of the base side: Perimeter = 4 × 8ft = 32ft.

The base area of the pyramid is found by squaring the length of one side of the base: Base Area = (8ft)^2 = 64ft^2.

Now we can substitute the values into the formula: Surface Area = 64ft^2 + (0.5 × 32ft × 6ft) = 64ft^2 + 96ft^2 = 160ft^2.

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The surface area of a pyramid with an 8 ft side length and a 10 ft slant height is 224 square ft. Hence, option A is correct.

To find the surface area of a pyramid with a square base, we need to calculate both the base area and the lateral surface area.

The side length of the square base is 8 ft, so the base area is:

The slant height of the pyramid is 10 ft, and the side length of the base is 8 ft. Each triangular face of the pyramid has a height (slant height) and base equal to the side of the square base. The area of one triangular face is:

Since a square-based pyramid has 4 triangular faces, the total lateral surface area is:

Adding the base area and the lateral surface area gives the total surface area:

Therefore, the total surface area of the pyramid is (Option A) 224 square ft.

Complete Question:

What is the surface area of the pyramid with slant height 10 ft and base 8 ft ?

A. 224ft

B. 460ft

C. 112 ft

D. 336ft

i think the answer is 23.25 pounds

We simply have to solve a quadratic equation [tex]ax^2+bx+c=0[/tex] using the quadratic formula

[tex]x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In your case, [tex]a=b=1,\ c=-42[/tex]. So, the formula becomes

[tex]x_{1,2} = \dfrac{-1\pm\sqrt{1+168}}{2} = \dfrac{-1\pm 13}{2}[/tex]

So, if we choose the two signs, we have

[tex]x_1 = \dfrac{-1-13}{2}=-7,\quad x_2 = \dfrac{-1+13}{2}=6[/tex]

Answer:

x = -7, x = 6

Step-by-step explanation:

f(x) = x² + x − 42

You can use the quadratic formula to find the roots (x-intercepts), or, if it's "factorable", you can use the AC method.

Here, a = 1, b = 1, and c = -42.

The product a times c is -42.

Factors of ac that add up to b are +7 and -6.

So the quadratic factors to:

f(x) = (x + 7) (x − 6)

To find the x-intercepts, we set this equal to 0:

0 = (x + 7) (x − 6)

x + 7 = 0, x − 6 = 0

x = -7, x = 6

Step-by-step explanation:

First, reflect over line k:

(2, 5) → (-5, -2)

Then, reflect over the x-axis:

(-5, -2) → (-5, 2)

[tex]

x-4+5=2 \\

x+5=6 \\

\boxed{x=1}

[/tex]

Hope this helps.

r3t40

Hello There!

Consecutive Angles In Parallelograms Are "Supplementary"

"Supplementary Angles" Are Angles That Have A Sum of 180 Degrees  

Answer:

Step-by-step explanation:

Are "Supplementary

Answer:D

Step-by-step explanation:

Answer:

i think its 4

Step-by-step explanation:

Answer:

2.45

Step-by-step explanation:

The expected value is the sum of the points times the probability.

The expected number of points from a touchdown is:

E = 7×0.35 + 0×0.65

E = 2.45

Answer:

x=0

Step-by-step explanation:

a vertical line is x= whatever the x-term is

Answer: 4x^3+2x^2-12x+8

I am sorry it takes to long to type in the equation of this problem step by step. I only can just give you an answer.

Answer:

B. 75°

Step-by-step explanation:

When lines that are parallel are crossed by a transversal , angles in matching corners are equal and called corresponding angles

To get the value of the angle;

180°-105°= 75°.................sum of angles on a straight line

This angle corresponds to angle y because of the parallel lines DE and XY

i^223 = -i

i^82 = -1

i^113 = i

i^48 = 1

Match each complex number with its equivalent by using the complex plane, polar coordinates, complex conjugates, and Euler's equation.

Matching each complex number with its equivalent expression involves understanding the complex plane, complex conjugates, and Euler's formula. A complex number z is represented by z = a + ib, where a is the real part and b is the imaginary part. Converting this to polar form involves finding the magnitude r and the angle θ, where r = (a² + b²)½ and θ = tan⁻¹(b/a). Euler's formula, z = r exp(iθ), can be used to express the complex number in terms of its magnitude and angle: z = r cos(θ) + ir sin(θ). The complex conjugate of z is z* = a - ib, and it is found by changing the sign of the imaginary part.

Step-by-step explanation:

5x-30=3x

5x-3x=30

2x=30

Divide by 2 for 2x and 30

x=15

Check answer subsituition method:

5x-30=3x

5(15)-30=3(15)

75-30=45

45=45

Answer: x=15 ( choice 3)

Answer:

x = 2  is the axis of symmetry

Step-by-step explanation:

y - 4x = 7 – x2?

y =  -x²+4x +7

y = - ((x²- 4x+4)-4)+7

y = - (x-2)²+11 ..... is the the parabola's equation  when : x = 2  is the axis of symmetry

The axis of symmetry for the graph of y - 4x = 7 – x² is x= 2.

The axis of symmetry is a hypothetical straight line that divides a shape into two identical sections, resulting in one component being the mirror image of the other. When folded along the axis of the symmetry, the two portions get overlaid. The straight line is also known as the line of symmetry/mirror line.

The axis of symmetry is a straight line that makes an object's shape symmetrical. The axis of symmetry produces identical reflections on all four sides. It might be horizontal, vertical, or lateral in orientation.

We have the Equation:

y - 4x = 7 – x²

Now, arranging the equation as

y =  -x²+4x +7

y = - ((x²- 4x+4)-4)+7

Now, using the algebraic Identity

(a -b)² = a² - 2ab + b²

So, the equation can be written as

y = - (x-2)²+11

This is in the parabola's equation.

Thus, the axis of symmetry is x= 2.

Learn more about Axis of Symmetry here:

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Answer:

125.6 square inches of plastic is needed

Step-by-step explanation:

To make 10 plastic beach balls each with a radius of 2 inches, the company would need approximately 502.4 square inches of plastic.

To determine the amount of plastic needed to make 10 beach balls, we first calculate the surface area of one beach ball. The formula for the surface area of a sphere is 4πr². Given the radius of 2 inches, we plug this into the formula:

A = 4πr² = 4 × 3.14 × (2 inches)² = 4 × 3.14 × 4 square inches = 50.24 square inches.
Since this is for one beach ball, we need to multiply this amount by 10, to account for the total plastic needed for 10 beach balls:

Total surface area for 10 beach balls = 50.24 square inches × 10 = 502.4 square inches.

Therefore, the company would need approximately 502.4 square inches of plastic to make 10 beach balls, rounding to the nearest tenth.

Answer:

The value 1.8 represent the club's total number of members today or the present number of members

Step-by-step explanation:

Given an exponential function;

[tex]y=ab^{x}[/tex]

b is the base or the growth factor

a is the initial value, that is the value of y when x = 0

We have been given the exponential function;

[tex]y=1.8(1.02)^{12t}[/tex]

The value 1.8 simply represents the initial value of y. Plug in t = 0 in the equation;

[tex]y=1.8(1.02)^{12(0)}=1.8[/tex]

Therefore, the value 1.8 represent the club's total number of members today or the present number of members

Answer: The answer is 9x-8y²+4y+34

Step-by-step explanation: Since the equation is 12x+4y-3x+2-8y^2 + 32

1.  combine like terms so- combine 12x-3x= 89x

2. look for other like terms- 2+32= 34

3. since 8y^2 and 4y are not the same you can combine them

4. put them all together- 9x-8y^2+4y+3

That's you answer. Hope this helped

Answer:

1 minute and about 26 seconds

Can you mark me the brainliest??

Answer:

AB² = VAC²-BC²

= V8²-6²

= V64-36 = V28

AB = V7×4 = 2V7 = 5.29

Answer:iuhihi

Step-by-step explanation:

nvjfuy

Answer: C. would be your option

Step-by-step explanation:

Answer:

3x – 5 < –10 or 3x – 5 > 10

Answer choice C on Edge

For this case we must find the quotient of the following expression:

[tex]\frac {48 * j ^ 5 * k ^ 2} {- 3 * j ^ 3 * k} =[/tex]

We have to:

[tex]\frac {48} {- 3} = - 16[/tex]

By definition of power properties we have:

[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]

So so:

[tex]\frac {48 * j ^ 5 * k ^ 2} {- 3 * j ^ 3 * k} = - 16 * j ^ {5-3} * k^{2-1}=-16*j^2*k[/tex]

Answer:

Option A

Answer:

B. y > 3x + 2

Hope it helps :)

Answer with explanation:

 →The equation of line which we have to write in slope intercept form is:

  3 x -2 y=6

The equation of line in slope Intercept form is given as:

       y = m x +c

Where, m=Slope of line

c=Y- intercept

Slope Intercept form of line can be as follows :

   [tex]\Rightarrow 3 x-2 y=6\\\\\Rightarrow \text{Adding 2y on both sides}\\\\\Rightarrow 3 x-2 y+2 y=2 y+6\\\\\Rightarrow 3 x= 2 y+6\\\\\text{Dividing both sides by 3}\\\\\Rightarrow x=\frac{2y}{3}+\frac{6}{3}\\\\\Rightarrow x=\frac{2y}{3}+2[/tex]

Answer:

y = three-halves x minus 3

y = one-eighth x minus three-fourths

Step-by-step explanation:

Answer:

355/113

Step-by-step explanation:

But as you can see, 22/7 is not exactly right. In fact π is not equal to the ratio of any two numbers, which makes it an irrational number. A really good approximation, better than 1 part in 10 million, is: 355/113 = 3.1415929...

Answer: A really good approximation, better than 1 part in 10 million, is: 355/113 = 3.1415929...

Step-by-step explanation:  As you can see, 22/7 is not exactly right. In fact π is not equal to the ratio of any two numbers, which makes it an irrational number. So, therefore, the ratio that is equal to pi is 355/113 = 3.1415929...

Answer:

4

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

 Since we are given the function, we can simply plug in the x as 9. So we get 50(0.952)9. Solving this, we get 450(.952) and this is about 428. SO our answer is a) about 428 feral cats.

There will be 428 feral cats in 9 years.

We can substitute the given number in the function to find the required value here, years are represented by x. Therefore, we must substitute the value of x = 9 in the function to find the population of feral cats in 9 years.

The function is given as:

f(x) = 50(0.952)x.

We have to find the number of feral cats in 9 years. Therefore, the value of x is 9.

Now, we can substitute the value of x in the function. This can be done as follows:

f(x) = 50(0.952)x

f(9) = 50(0.952)*9

f(9) = 50(8.568)

f(9) = 428.4

f(9) ≈ 428

We have found the number of feral cats in 9 years. The number of feral cats that will be alive after 9 years is found to be 428.

Therefore, we have found that there will be 428 feral cats in 9 years. The correct answer is option A.

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Answer:

b

Step-by-step explanation:

Answer:13.5 A

Step-by-step explanation:

edge