In this unit, you’re working with a variety of methods for solving quadratic equations. Which method do you prefer over the others? Describe the method in your own words, and give an example of a quadratic equation that could be solved with this method. Show and explain the steps for solving the equation.

The sector angle formed by the cone when it is opened is: 54°.

Curved surface area of a cone = πrl, where l is the slant height and r is the radius of the cone.

Area of a sector in a circle = ∅/360 × πr², where ∅ is the sector angle.

Step 1: Find the height (h) of the cone using the volume formula, V= 1/3 x π x r² x h:

V = 95.4 cm³

r = 2.4 cm

Plug in the values:

95.4 = 1/3 x 3.14 x 2.4² x h

95.4 = 6.03 x h

h = 15.8 cm

Step 2: Use the pythagroean theorem to find the slant height (l) of the cone

l = √(h² + r²)

Plug in the values

l = √(15.8² + 2.4²)

l = 16 cm.

Step 3: Find the curved surface area of the cone

Curved surface area = πrl = π(2.4)(16) = 120.6 cm².

Step 4: Find the sector angle of the sector formed by the cone when opened

Curved surface area of the cone = area of the sector formed by the cone = 120.6 cm².

Area of a sector in a circle = ∅/360 × πr², therefore:

120.6 = ∅/360 × (3.14)(16²)

120.6 = ∅/360 × 803.84

(120.6)(360) = (∅)(803.84)

43,416 = (∅)(803.84)

43,416/803.84 = ∅

∅ = 54°

Therefore, the sector angle formed by the cone when it is opened is: 54°.

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Answer:

The answer of how many cars is 23

Answer:

11.32

Step-by-step explanation:

Answer: The answer is [tex](x+2)^2[/tex]

Step-by-step explanation:

Because  [tex](x+2)^2[/tex] means  [tex](x+2)(x+2)[/tex]

So we use the foil method to factor

First: [tex]x*x=x^2[/tex]

Outside: [tex]x*2=2x[/tex]

Inside: [tex]2*x=2x[/tex]

Last: [tex]2*2=4[/tex]

So we now write the following equation [tex]x^2+2x+2x+4[/tex]

Simplfied [tex]x^2+4x+4[/tex]

Answer:

I think it will be less than 69 because the tozal mean is 41 while of A is 69 mean the values has decreased

Answer:

109

Step-by-step explanation:

Answer: 80%

Step-by-step explanation:

or 85% but i think its 80%

Answer:

C because he has to interview every student in his class to collect data

Answer: x = 29

Step-by-step explanation:

Complementary angle. 90-61=29. Basically finding what the number is shown from minus 90 since its complementary. :)

→ Area of rectangle = Length * Width

Here given:

Here area:

Answer:

1071 m²

Step-by-step explanation:

The area of a rectangle is basically the length multiplied with the width. The length can be any side length, but the width must be the adjacent to the length. Thus, we can let the length be 63 meters and the width be 17 meters as the width is adjacent to the length.

⇒ Area of rectangle = Width × Length

⇒ Area of rectangle = 17 × 63

⇒ Area of rectangle = 1071 m²

Answer:

A rational number: 5.4, which also can be written as 27/5

Irrational number:

sqroot 28

approx= 5.29

Step-by-step explanation:

5.4 is a rational number because it is a terminating decimal. That means it ends after the 4, there are no more numbers. Also it can be written as a ratio (looks like a fraction) 27/5.

Sqroot28 is irrational. Since 28 is not a perfect square, when you squareroot it you get a number with a neverending decimal

sqroot28 = 5.2915026221...

since the decimal does not repeat or end it cannot be written as a ratio, so it is not rational

sqroot28 ~= 5.29

Answer:

You didn't include the question, so people are unable to help you.

Answer:

6 x 40 - 3 x 60

Step-by-step explanation:

sorry i cant answer rn but if you put the equation above into a calculator it should tell you!

hope this helps<3

Answer:

50

Step-by-step explanation:

3 × 10 to the 6 is 3,000,000
6 × 10 to the 4 is 60,000
3,000,000 ÷ 60,000 is 50

Answer: 35:105=1:3

Hope this helps! Have a good day !!! :)

Reflecting the polygon FGHI across the line involves flipping the line across the line y = -1

The coordinates are given as:

F(2, – 1), G(5,2), H(8, 3), and I(6, 0)

The line of reflection is given as:

y = -1

To reflect the line, we apply the following rule of reflection

(x,y) [tex]\to[/tex]  (x,-y-2)

So, we have the following coordinates of the image

F' = (2, – 1)

G' = (5,-4)

H' = (8, -5)

I' = (6, -2)

See attachment for the image of the reflected polygon

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The expression  [tex]\rm log_{7} 98[/tex]  using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex].

A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.

It is given that [tex]\rm log_{7} 2[/tex] = 0.356

We can write [tex]\rm log_{7} 98[/tex] in terms of  [tex]\rm log_{7} 2[/tex]

[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]

In logarithm, the product will change in addition

[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]

= [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]

Hence, the expression  [tex]\rm log_{7} 98[/tex]  using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]

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Answer:

log7 2 + log7 49

log7 49= 2

Step-by-step explanation:

Using the Pythagorean theorem:

X^2 = 10^2 + 24^2

X^2 = 100 + 576

X^2 = 676

X = sqrt(676)

X = 26

answer: 26

Answer:

26 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets solve!!

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

Now lets find the square root!!

[tex]\sqrt{676}[/tex] = 26

Have an amazing day!!!

Please rate and mark brainliest!!

Answer:

7092.82 cubic yards

Step-by-step explanation:

The volume of a right circular cylinder is given by:

V represents the volume of a cylinder.

r represents the radius of a cylinder.

h represents the height of a cylinder.

As per the given statement:

Diameter(D) = 19.6 yd and height(h) = 23.52 yd.

Diameter = 2r where r is the radius of the cylinder

Substitute these given values in [1] we have cubic yard

Simplify:

V = 7,092.82291 cubic yard.

Hope this helps!

Answer:

1. The Dela Cruz family's water consumption for the month of June is 0000245 m³ land for the month of July, the reading is 0000280 m³. How much water was their water consumption for the month of July?

Answer: 35 cubic metre

________________________________

2. At P8.00 per cubic meter of water, how much was the basic bill for the period of August 2014 to September 2014 if the meter reading on September was 00001450 while the reading August was 00001480?

Answer: PHP 240

________________________________

3. The Duran family usually consumes 230 kwh monthly. They practiced conservation measures to save on the use of electricity. If the previous month's reading is 5680 and the present reading is 5950, what is the number of kwh used? Did they save electricity?

Answer: 270 kwh

________________________________

4.The previous reding of the water meter was 0000345 m. The present reading is 0000395 m³. How many cubic meters water was consumed?

Answer: 0000050 m³

________________________________

5.The previous reading of the electric meter was 2895 kwh and present reading is 3025 kwh. How many kilowatts of electricity was consumed?

Answer: 130

________________________________

Answer:

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

The legs and x and 20 and the hypotenuse is 25

20 ^2+x^2 = 25^2

400 + x^2 = 625

Subtract 400 from each side

x^2 = 625-400

x^2 = 225

Take the square root of each side

sqrt(x^2) = sqrt(225)

x = 15

Answer:

Larger number = 25

Smaller number = 14

Step 1. Establish variables and system of equations

Larger number = x

Smaller number = y

&

x + y = 39

y + 11 = x

Step 2. Isolate a variable in ONE equation

x + y = 39

y = 39 - x

Step 3. Substitute that into the OTHER equation to find x

y + 11 = x

(39 - x) + 11 = x

50 - x = x

50 = 2x

25 = x

Step 4. Substitute that into the OTHER equation to find y

x + y = 39

(25) + y = 39

y = 14

The cost of similar carpet in the client's bedroom is $225

Given Data

if 307.2 square feet of carpet will cost $576

the 120 square feet of carpet will cost $x

cross multiplying we have

x = 120*576/307.2

x = 69120/307.2

x = $225

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Answer:

0.6,66/100,666/1000,0.67

After solving the equation (work shown in image) your answer would be x > -2. I drew an image of how the number line should look at least similar to, using the solution.

*whenever you divide or multiply with a negative number reverse/flip the sign

< or > signs will always have an open circle

≥ or ≤ signs will have a closed/filled in circle

TIP: To know which way the arrow should point, look at the sign and think of it as an arrow.

< would have the arrow on the number point

this way: <-

or > which would have the arrow on the number line point this way: ->

Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.

Answer:

111

Step-by-step explanation:

Answer:

  b.  4x^2 -7x +5

Step-by-step explanation:

When you know a sum and one of its contributors, you can find the other by subtraction. The other trinomial is ...

  (7x^2 -5x +4) - (3x^2 +2x -1)

  = (7 -3)x^2 +(-5 -2)x +(4 -(-1))

  = 4x^2 -7x +5 . . . . . matches B

Answer:

There isn't any data, maybe you could put the rest of the question in the comment area.