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3 years ago

Quadratic formula 3x^2 - 2x + 5 = 0

Mathematics

1 answer:

Tanzania [10]3 years ago

4 0

Step-by-step explanation:

The given quadratic equation is :

$3x^2 - 2x + 5 = 0$

We need to solve the given equation. The formula used to solve a quadratic equation is :

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

We have, a = 3, b = -2 and c = 5

So,

$x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(3)(5)}}{2(3)}\\\\x=0.333,4.667$

Hence, this is the required solution.

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A circle with radius of 5 cm sits inside a 11 cm * 11 cm rectangle.

Nadusha1986 [10]

Answer:

42.43 $cm^{2}$

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

$Area\ of\ cirle=\pi r^{2}$

$=\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571\ cm^{2}\\$

<u>As here length an width both are 11 cm, we can say that this is a square.</u>

<u /> $Area\ of\ square=(Side)^{2}$

$=11\times11=121\ cm^{2}$

Now, area of shaded region = Area of square - Area of circle

= 121 - 78.571 = 42.429 $cm^{2}$

Therefore, the area of the shaded region will be 42.43 $cm^{2}$

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5 0

3 years ago

What is 5 7/20 written as a decimal?

sashaice [31]

Answer:

5.35

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

if a car travels 370.3 miles on 52 liters of gas, how many liters of.gas.will take to go 722 miles.if the car travels at the sam

blsea [12.9K]

Answer:

101.4 liters.

Step-by-step explanation:

First of all we will find mileage of car.

$\text{Mileage of car}=\frac{\text{Total distance traveled}}{\text{Total amount of fuel}}$

$\text{Mileage of car}=\frac{370.3\text{ miles}}{52\text{ liters gas}}$

$\text{Mileage of car}=7.12115\frac{\text{ miles}}{\text{ liters gas}}$

We can see that car travels at the rate of 7.12 miles per liter gas. Now let us find amount of gas needed to travel 722 miles at the same rate.

$\text{Amount of gas needed}=\frac{722}{7.12}$

$\text{Amount of gas needed}=101.388$

Therefore, it will take 101.4 liters of gas to travel 722 miles.

4 0

2 years ago

There are 12 students in a classroom, including the triplets joey, chloe, and zoe. If 3 of the 12 are randomly selcted to give s

BARSIC [14]

The probability of Joey being first is 1/12. If that happens the probability of Chloe going next is 1/11. Then the probability of zoe being picked next would be 1/10. Then if you multiply all the fractions I gave you you would get 1/1320 which is A. So A. Is your answer!! Hope this helps you out!!

8 0

3 years ago

Read 2 more answers

HELP MEE :)) PLEASEEE <3

Mandarinka [93]

<h3>Volume of the cylinder:</h3>

$v = \pi {r}^{2} h$