find the discriminant for the following equation 3x^2+4x=2

Answer:

19.25 inches

Step-by-step explanation:

x^2 + 5^2 = 8^2= 64

25+ x^2 = 64

x^2 = 64-25= 39

x = 6.24

perimeter = 19.24

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So to find perimeter of triangle first we have to find value of x.

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As it's Given one angle is 90°

So we can find value of x by using this formula:-

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Hypotenuse ² = Base² + perpendicular ²

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Where :-

Hypotenuse is AC

Base is BC

Perpendicular is AB

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So:-

[tex] \\ [/tex]

⇢AC² = BC² + AB²

[tex] \\ [/tex]

⇢8² = 5² + x²

[tex] \\ [/tex]

⇢64 = 5² + x²

[tex] \\ [/tex]

⇢64 = 25 + x²

[tex] \\ [/tex]

⇢25 + x² = 64

[tex] \\ [/tex]

⇢x² = 64 - 25

[tex] \\ [/tex]

⇢x² = 39 in.

[tex] \\ [/tex]

⇢x = √(39)

[tex] \\ [/tex]

⇢x = 6.2

[tex] \\ [/tex]

Now Let's find perimeter of triangle.

We know :-

Perimeter of triangle = Side one + side two + side 3

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

⇢Perimeter of triangle = AB + BC + AC

[tex] \\ [/tex]

⇢Perimeter of triangle = 5 + 8 + 6.2

[tex] \\ [/tex]

⇢Perimeter of triangle = 13 + 6.2

[tex] \\ [/tex]

⇢Perimeter of triangle = 19.2 in.

Answer:

22π cm³

Step-by-step explanation:

Let's start with the formulas for volume:

volume of cylinder = πr²h

volume of cone = (1/3)πr²h

Notice the formulas above for the volume of a cylinder and the volume of a cone. The only difference is that the volume of the cone has the fraction 1/3 multiplying the rest, and the rest is exactly the same as in the volume of the cylinder.

That means that if a cylinder and a cone have the same radius and height, the volume of the cone is 1/3 the volume of the cylinder.

Here, the cylinder and cone do have the same radius and height. That means the volume of the cone is 1/3 the volume of the cylinder.

The volume of the cylinder is 66π cm³.

The volume of the cone is 1/3 of that volume, so divide 66π cm³ by 3 to find it.

volume of cone = 66π cm³ / 3 = 22π cm³

Answer: 22π cm³

Answer: 1/48

Step-by-step explanation:

Write 2.5/120 as a fraction , then rewrite it as 25/1200 simplify and get 1/48

Hope this helps!

After simplification, the value of expression is, 1.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ 7⁷ × 7³ × 7⁴ / 7⁹ × 7⁵

Now, Simplify as;

⇒ 7⁷ × 7³ × 7⁴ / 7⁹ × 7⁵

⇒ 7¹⁴ / 7⁴

⇒ 7⁰

⇒ 1

Learn more about the divide visit:

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The ways that the Inca benefitted from their skills as stonemasons and master builders were:

Thanks to their skills as master builders and stonemasons, the ancient Inca were able to construct large walls around their cities which protected them during times of conflict.

Their construction skills also allowed them to build great houses that gave them shelter from the weather elements thereby ensuring their survival and growth as a civilization.

Find out more on Inca buildings at https://brainly.com/question/1036358.

Answer:X=54.5°

Step-by-step explanation:

Answer:

960

Step-by-step explanation:

I used a calculator but its 3% of $8,000 (which I'm pretty sure is 8,000 divided by 3) x 4 so in that's 240x4 which equals 960. Hope this helps have a good day!

Answer:

$960

Step-by-step explanation:

Simple interest is interest that goes up the same amount each period. The formula for simple is A=P(1+rt), where is A is the total amount, P is the principal (aka initial amount), r is the rate (in decimal form), and t is the time.

So, to solve we can use the equation, A=8000(1+0.03*4). In this equation A=8960, meaning that in 4 years the total amount owed, including the initial loan, will be $8960. Since the difference between the principal and the total amount is 960, $960 is the amount paid in interest.

Answer:

C) 5/8

Step-by-step explanation:

By calculation:

We need to find 3/4 of 5/6.  To do this, simply multiply and simplify:

[tex]\dfrac34 \times \dfrac56=\dfrac{3 \times 5}{4 \times 6}=\dfrac{15}{24}=\dfrac58[/tex]

By using the model:

Total number of squares = 6 × 4 = 24

Total number of blue squares = 5 × 3 = 15

Therefore, the fraction of blue square is [tex]\dfrac{15}{24}[/tex]

We can simplify this fraction by dividing both the numerator and denominator by 3:

[tex]\dfrac{15 \div 3}{24 \div 3}=\dfrac58[/tex]

Answer:

13/18 is  the correct answer to 10(x-2)=-2(4/3+7x)

Step-by-step explanation:

Hope this helps!!!

Answer:

6/15 or simplified 2/5

Step-by-step explanation:

id.k if this is right :))

If the polynomial is having only two factors then the polynomial is a prime polynomial that is shown below.

[tex]\rm x^{2} +4\\\\ x^{2} -5x +2\\\\ x^{2} -x + 27 \\\\2x^{3} -4x + 5\\\\[/tex]

The polynomial that has only two factors is known as a prime polynomial.

The polynomials are

[tex]\rm 1. \ \ x^{2} +4\\\\2. \ \ x^{2} -5x +2\\\\3. \ \ x^{2} +10x -24 \\\\4. \ \ x^{2} -x + 27 \\\\5.\ \ 2x^{3} -4x + 5\\\\6. \ \ 5x^{2} - 10[/tex]

The factor of the given polynomial will be

1.  [tex]\rm x^{2} + 4[/tex] is a prime factor. Because it has only two factors.

2.  [tex]\rm x^{2} -5x + 2[/tex] is a prime factor. Because it has only two factors.

3.  [tex]\rm x^2 + 10 x - 24[/tex] is not a prime factor. Because it has more than two factors.

4.  [tex]\rm x^2 - x + 27[/tex] is a prime factor. Because it has only two factors.

5.  [tex]\rm 2x^3 - 4x + 5[/tex] is a prime factor. Because it has only two factors.

6.  [tex]\rm 5x^2 - 10[/tex] is not a prime factor. Because it has more than two factors.

More about the prime polynomial link is given below.

https://brainly.com/question/17490039

Answer:

54

Step-by-step explanation:

7 + 4 + 18 + 11 + 14

i hope this work for you

Answer:

35

Step-by-step explanation:

i did the quiz

Answer:

35

Step-by-step explanation:

Answer:

A. 0.005 <P-value < 0.01; reject the null hypothesis

Since a= 10, we know that b = 4a - 5

 --> b = 4(10) - 5 = 40 - 5 = 35

By looking at the table at the left, the value of of c that goes with a when a = 10 is

--> 19.

So b = 35 and c = 19.

Hope that helps!

Answer:

Step-by-step explanation:

The compound interest formula is [tex]P(1+r/n)^{nt}[/tex]

Known information:

Now let's set up the equation:

  Future amount: [tex]18733 (1+\frac{0.051}{4} )^{4*10}[/tex] [tex]=31,095.49[/tex]

Thus the future amount is $31.095.49.

Hope that helps!

Answer:

240 cm3

Step-by-step explanation:

i hope this helps i made sure it was right!

Answer:

(A) 140 in

Step-by-step explanation:

Answer:

(59.90 - 50)/10

Step-by-step explanation:

(its 0.99)

Let's take No. of large windchime be x

then no. of small windchime be 2x

now, time taken to make one large windchime is 40min and time taken to make one small windchime is 30min.

Total time is 5 hours = 300 min

so time taken to make all large chimes= 40x

time taken to make small chimes = 30*2x= 60x

total time = 300 min

40x + 60x = 300

100x = 300

x = 300/100

x = 3

total small windchimes = 2x = 2*3=6

total large windchimes = x = 3.

so I hope it's helpful. It really took some time

Answer: m = 3

Step-by-step explanation:

We can distribute both sides.

3*m + 3*7 = 6*m + 6*2

3m + 21 = 6m + 12

We can now combine like terms.

3m = 9

m = 3

Step-by-step explanation:

24/36

=2/3

Hope it helps

Answer:

2/3

Step-by-step explanation:

12×2 = 24

&

12×3 = 36

=2/3

(would appreciate it if you could mark me the brainliest :))

Answer:

29 degrees

Step-by-step explanation:

Answer:

113.112 cm³

Step-by-step explanation:

Volume (sphere) = 4/3πr³

= 4/3 x 3.142 x 27

= 36 x 3.142

= 113.112 cm³

Answer:

e = -4

step-by-step explanation:

2e + 3 + 7 = 2

2e + 10 = 2

2e = 2 - 10

2e = -8

e = -8/2

e = -4

verification:

2e + 3 + 7

2(-4) + 3 + 7

-8 + 10

2 ... Therefore proved.

Answer:

e = -4

Step-by-step explanation:

2e + 3 + 7 = 2

2e + 7 = -1

2e = -8

e = -4

First I subtracted the 3 off both sides to keep the equation equal getting me -1. Then i subtracted off the 7 from both sides getting me -8. Finally, i divide both sides by 2 and get -4. E will equal -4.

Have an amazing day!!!

PLEASE RATE!!

Answer:

carrect answer is : multiply 40x20

Answer:

D. Multiply 40 x 8

Step-by-step explanation:

Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let a represent Karen speed and b represent Melinda speed, hence:

a = b + 10

a - b = 10   (1)

Also:

a = d₁ / 1

d₁ = a

b = d₂/ 1 hour

d₂ = b

Since they are 108 miles apart, using Pythagoras:

108² = d₁² + d₂²

a² + b² = 11664

(b + 10)² + b² = 11664

b = 71.2 mph, a = 81.2 mph

Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.

Find out more on speed at: https://brainly.com/question/4931057