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3 years ago

What are the a b and c values of 3x^2-4x=20

Mathematics

1 answer:

joja [24]3 years ago

8 0

Answer:

$a = 3, b = -4, c = -20$

Step-by-step explanation:

<u>Step 1: Find the a, b, and c values</u>

$ax^2 + bx + c = 0$

$3x^2 - 4x - 20 = 0$

The a value is: 3

The b value is: -4

The c value is: -20

Answer: $a = 3, b = -4, c = -20$

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I need the volume for 9,11,and 13

mihalych1998 [28]

Hey there!

<h3>Question 1</h3>

Let's use 3.14 for pi during this. It'll make it a lot easier.

The volume for a cone is $\pi r^{2} \frac{h}{3}$ .

The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.

17.6 ÷ 2 = 8.8

The height of this cone is 23.4 inches.

Plug the values into the equation.

$\pi 8.8^{2} \frac{23.4}{3}$

Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.

$3.14 * 77.44 * 7.8$

Multiply the numbers together.

<u>The volume of this cone is approximately 1896.66 cubic inches.</u>

<h3>Question 2</h3>

Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.

Formula for finding the area of a trapezoid is $a = \frac{1}{2} h(b_{1} +b_{2} )$

The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.

$a = \frac{1}{2} 24.7(10 +34 )$

Add 10 and 34, then multiply it by 24.7 and 1/2.

a = 543.4

Multiply that value by 19, which is the depth of the figure.

<u>The volume of the prism is 10324.6 cubic feet.</u>

<h3>Question 3</h3>

The formula for volume of a triangular pyramid is v = 1/3ah, with a the area of the base and h the height.

The formula for the area of an equilateral triangle, which is the base, is $a = \frac{\sqrt{3} }{4} s^{2}$

The length of the side is 12, so we can square that to get 144.

Now multiply that by $\frac{\sqrt{3} }{4}$ to get the area of the base.

The area of the base is about 62.35 square meters.

The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.

v = 1/3 x 62.35 x 20

Multiply the numbers together to get the volume.

<u>The volume of the pyramid is approximately 415.67 cubic meters.</u>

Hope this helps!

3 0

2 years ago

X + 2y = 3<br> 3x - 2y = 5<br> What is the solution to the system of equations?

Oduvanchick [21]

Step 1: -3(x+2y=3)
Step 2: -3x-6y=-9
Step 3: 3x cancels out with -3x
Step 4: add 2y and -2y, and add 3 and 5
Step 5: the answer is NO SOLUTION or INFINITE SOLUTION

5 0

3 years ago

Cressida decided to save a part of her income in a savings account that compounds interest every four months. Her account balanc

hichkok12 [17]

The answer is "<span>the number of times the account compounds interest</span>".
The general formula is the following:
$3,545(1+r)^n$
wherein r is the interest rate compound each four months.
Since there is 3*4 months in a year, then each year we compute the interest Three time, there where the factor 3 comes.

6 0

2 years ago

Read 2 more answers

A number is chosen uniformly at random from among the positive integers less than $10^8$. Given that the sum of the digits of th

Reil [10]

Answer:

If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(

Step-by-step explanation:

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1 year ago

Julie drove 495 miles in 9 hours what was julies average speed in miles per hour

Tpy6a [65]

Answer:

55 miles per hour

Step-by-step explanation:

We just divide 495 by 9 which equals 55 m/h

8 0

2 years ago