Solve this equation using the quadratic formula (preferably): 3x^2 - 4x + 6 = 0

Answer:  17.8 yds

Step-by-step explanation:

The length of the arc of the ENTIRE circle is the circumference (C = 2πr).

We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.

The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]

Given r = 17, θ = 60°

[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]

Answer:

Step-by-step explanation:

We have,

Mean = Σx/n

or 12= (m+n+s+p+q)/5

or, m+n+s+p+q = 60 ...........(i)

Again,

New Mean = (m+4+n-3+s+6+p-2+q+8)/5 [∵ n = 5]

or, New Mean = {(m+n+s+p+q)+13}/5

or, New Mean = (60+13)/5 = 73/5 [from eq (i)]

∴ New Mean = 14.6 Ans.

Answer:

B. 17

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

We have a and b, so:

8² + 15² = c²

c = √(8² + 15²)

c = 17

And we have our final answer!

Answer:

To find the length of BC we use Pythagoras theorem.

BC² = AB² + AC²

AB = 8 AC = 15

BC² = 8² + 15²

BC = √64 + 225

BC = √ 289

BC = 17

BC is 17

Hope this helps.

Answer:

17

Step-by-step explanation:

There are a total of 39 students.

students.

The number of students that play football is twice as much as the number of students that play volleyball.

Let the number that plays volleyball be x then the number that plays football will be 2x. This we have

x + 2x = 39

3x = 39

x = 13

The total number that plays volleyball is 13.

The total number that plays football will be 2 x 13 = 26

Since 9 students play both sports, the number of students that plays only football will be 26 - 9 = 17.

Answer:

a). 16% of £50

= 16/100 ×50

= 8

= £8

b). 44% of 781g

= 44/100 × 781

= 343.64

= 343.64g

c). 92% of 1050km

= 92/100 × 1050

= 996

= 996km

Hope this helps.

Answer:

25/8

Step-by-step explanation:

Given That:

R = 8x+4y

X= 8

R = 30.

So, 8 x 8 +4y = 30

Simplify, Rearrange and solve.

64 + 4y = 30

4y = 30/64 = 15/32

y = 15/32 divided by 4

y = 15 / 32 x 1/4

y = 15/(32 x 4) = 15/128

hope this helps

m<TSU=85°

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Answer:

3. [tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]

4. [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of [tex]\overline{AE}[/tex]: Reason;  [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Definition of midpoint

Step-by-step explanation:

3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles

MNOP is a parallelogram: Reason; Given

[tex]\overline{PM}\left | \right |\overline{ON}[/tex] : Reason; Opposite sides of a parallelogram

∠NOM ≅ ∠OMP: Reason Alternate interior angles

[tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Opposite sides of a parallelogram

∠NMO ≅ ∠MOP: Reason Alternate interior angles

[tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]

4. [tex]\overline{AB}\left | \right |\overline{DE}[/tex] : Reason; Given

∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm

∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm

C is the midpoint of  [tex]\overline{BD}[/tex]: Reason; Given

[tex]\overline{BC}[/tex] = [tex]\overline{CD}[/tex]: Reason; Definition of midpoint

Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem

[tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of [tex]\overline{AE}[/tex]: Reason; Definition of midpoint

Answer:

Hope this helps. Good luck

Step-by-step explanation:

Answer:

x = [tex]\sqrt{x+6}[/tex]

Step-by-step explanation:

The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).

Answer:

9.72

Step-by-step explanation:

53.43/11 = 4.86

4.86*1 = 9.72

Answer:

2 pens will weigh about 9.7 grams.

Step-by-step explanation:

1. First, you divide 53.43 by 11 which gives you 4.85 grams (I used the first 2 digits.)

2. Since you know that 1 pen weighs about 4.85 grams, you multiply 4.85 by 2 to find the amount of grams for 2 pens. The answer is 9.7 grams.

Answer:

The sum after the second year is rs.4752

Step-by-step explanation:

The interesting thing about solving for compound interest problems is understanding that the principal changes every year.

To solve this problem, we will break it into two years and solve for each year, so we can obtain the final sum to be paid at teh end of the second year.

Please note:

P = principal {the original sum invested}

R = rate of interest.

T= time required to pay back

Sum after the First Year:

Interest = [tex]\frac{P \times R \times T}{100}=\frac{4000 \times 8 \times 1}{100}=320[/tex]

Therefore his money after the first year is got by adding the interest of 320 to the initial principal which will givers. 4320.

After the first year, the money that will be used to calculate the new interest paid will be this rs.4320 obtained at the end of the first year.

Sum after the second Year

Interest =[tex]\frac{P \times R \times T}{100}=\frac{4320 \times 10 \times 1}{100}=432[/tex]

Sum = 4320+432 = rs.4752

Hence, the sum after the second year is rs.4752

Answer:

600 cm

Step-by-step explanation:

Surface Area of a box: SA=2lw+2lh+2hw

Since a box has equal side lengths, l = 10, w = 10, and h = 10.

SA = 2(10)(10) + 2(10)(10) + 2(10)(10)

SA = 600cm

The number of adult tickets sold was  30 tickets

The first step is to write out the parameters given in the question;

Adult ticket sold at the concert is at the price of $8

Student tickets sold cost $5

A total of 70 tickets were sold at $440

Therefore the number of adult tickets sold can be calculated as follows;

= 8(5)

= 40

70-40

= 30

Hence the number of adult tickets sold is 30 tickets

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Answer:

Amrita's number is 6

Step-by-step explanation:

x               Double the unknown number

2x             Add 9

2x + 9       Divide the answer by 3

2/3x + 3   Subtract 1

2/3x + 2   Set this equal to the original number

2/3x + 2 = x

-2/3x       -2/3x   Subtract 2/3x from both sides

2 = 1/3x   Multiply both sides by 3

6 = x

Amrita's number was 6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

We can write an expression from the given statement.

{ (2x + 9) ÷ 3 } - 1 = x

Solve for x.

{ (2x + 9) ÷ 3 } - 1 = x

(2x + 9)/3 - 1 = x

2x + 9 - 3 = 3x

Add 3 on both sides.

2x + 9 =  3x + 3

Subtract 9 on both sides.

2x = 3x + 3 - 9

2x = 3x - 6

6 = 3x - 2x

x = 6

We can cross-check.

{(2 x 6 + 9) ÷ 3} - 1 = 6

{(12 + 9) ÷ 3} - 1 = 6

7 - 1 = 6

6 = 6

Thus,

The number was 6.

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Answer: -7

Step-by-step explanation:

-3 is across from -7 on the chart, so -7 is the x that houses with the f(x) -3

Answer:

8.12.15

Step-by-step explanation:

mark brainliest plz

Answer:

false

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Work Shown:

L = (0,1)

N = (6,1)

m = slope of LN

m = (y2-y1)/(x2-x1) is the slope formula

m = (1-1)/(6-0)

m = 0/6

m = 0

Points L and N are on the same horizontal level, so line LN is horizontal and completely flat. We can see this by noting the y coordinates are both the same. All horizontal lines have a slope of 0 to indicate no change in y value (ie, no change in rise; no increase nor decrease)

Answer:

Area = 110 cm²

Step-by-step explanation:

You can find the area of a regular pentagon by finding the area of one of the triangles created by its central angle and multiplying it by 5.

1. Use the formula for the area of a triangle to find the area of the triangle formed by its central angle.

[tex]A = \frac{1}{2} bh\\\\A = \frac{1}{2}8(5.5)\\\\A = \frac{1}{2}44\\\\A = 22[/tex]

2. Multiply this area by 5 to get the area of the entire pentagon.

A = 22(5)

A = 110

Answer:

Jemima is wrong because perimeter is sum of all sides and the perimeter of this figure would be the outer sides of it and not the inner sides.

Answer:

See below.

Step-by-step explanation:

She is wrong because  3 times the perimeter  of one triangle is the sum of 9 sides of the triangles.

In the shape  we see that some of the sides of the triangles are 'shared' and dare not part of the perimeter of the shape,  - the perimeter is only the length of 5 sides of a triangle.

So the perimeter is less than the sum of the sides of the 3  triangles.

Answer:

1364

Step-by-step explanation:

use the calculator

Answer: y = -3/2x + 3

Step-by-step explanation:

The slope is -3/2 (down 3, right 2)

The slope goes before x in graph functions so it’s -3/2x

The line goes through 3 on the y-axis (vertical line), so that’s where + 3 comes in.

y = -3/2x + 3

Answer:

B. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.

Step-by-step explanation:

Answer:

1) 0

2) -1

Step-by-step explanation:

x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on

Answer:

X=67.5

Step-by-step explanation:

360-90=270

Then I do

270/4=67.5 to find the answer of each X

(4 is how many X is in the 270 degree)  

Answer:

450

Step-by-step explanation:

Since we are estimating, we can round 596 to 600, and 77 to 75

So, we need to find 75%, or 3/4 of 600

600 * 3/4 = 150 * 3 = 450

Answer:

450 meters

Step-by-step explanation:

Answer:

[tex]6x^2-3x[/tex]

Step-by-step explanation:

[tex]3x(2x-1)[/tex]

[tex]3x(2x)+3x(-1)[/tex]

[tex]6x^2+-3x[/tex]

After apply distributive property, required solution is,

⇒ 6x² - 3x

We have tp given that,

An expression to simplify,

⇒ 3x (2x - 1)

We can simplify it by distributive property,

⇒ 3x (2x - 1)

⇒ 3x × 2x - 3x × 1

⇒ 6x² - 3x

Therefore, The required solution is,

⇒ 6x² - 3x

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please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment..

Answer:

three-fifths times a number is 15

Step-by-step explanation:

let the unknown number be x

based on the answer above:

3/5 × x = 15

3/5x = 15

Answer: C is the correct answer

Step-by-step explanation: