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3 years ago

What's the area of a circle with the diameter of 7m? (use 3.14 as pi)

Mathematics

1 answer:

ololo11 [35]3 years ago

6 0

Area = Pi * r^2
'
r = 7 / 2 = 3.5

area = 3.14 * 3.5^2
area = 3.14 * 12.25
area = 38.465 m sq

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What are the solutions to the quadratic equation (5y +6) 2= 24?

boyakko [2]

Answer:

$y=-2.18,-0.22$

Step-by-step explanation:

We have been given the equation

$(5y+6)^2=24$

Take square root both sides. When ever we take square root, we include plus minus sign

$\sqrt{(5y+6)^2}=\pm\sqrt{24}\\\\5y+6=\pm2\sqrt6$

Now, subtract 6 to both sides of the equation

$5y=-6\pm2\sqrt6$

Divide both sides by 5

$y=\frac{1}{5}(-6\pm2\sqrt6)$

$y=\frac{1}{5}(-6+2\sqrt6),y=\frac{1}{5}(-6-2\sqrt6)$

In decimal we have

$y=-2.18,-0.22$

3 0

3 years ago

Torque (or moment) is the measure of turning force or twist on an object. If a mechanic is applying 12 Newton centimeters of tor

SashulF [63]

Answer:

1.0638

Step-by-step explanation:

Given the question:

If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?

Torque = 12 Newton centimeter

Torque which is the turning effect on an object :

1 Newton = 0.225 pound force

1 centimeter = 0.394 inch

Hence ;

1 Newton centimeter = (1 × 0.225 × 0.394) = 0.08865 pound inch

12 Newton centimeter is hence, equals :

(12 × 0.225 × 0.394) pound inch

= 1.0638 pound inch

7 0

3 years ago

Find the volume of a pyramid with a square base with a perimeter of the base is 5.7 cm in the height of the pyramid is 8.6

dexar [7]

Answer:

try 28.4 inches to the 3rd power

Step-by-step explanation:

4 0

3 years ago

Jon has to pay $7.50 admission

lorasvet [3.4K]

Y=1.50x+7.50. 7.50 is the y intercept and 1.50 is the rate of change or slope

5 0

3 years ago

PLEASE ANSWER QUICKLY

Olegator [25]

Answer:

x=3

Step-by-step explanation:

Set equations equal to each other:

$x^3-3x^2+2=x^2-6x+11$

Subtract two from both sides

$x^3-3x^2=x^2-6x+9$
Factor out x^2 from the left side

$x^2(x-3)=x^2-6x+9$

Factor the right side, look for two factors of 9, which add to -6, which is just -3 and-3

$x^2(x-3) = (x-3)(x-3)$

So as you can see here, we have both sides in factored form, and both have a factor of (x-3) on both sides, and if one of the factors is zero, then the entire thing becomes zero, since 0 * anything= zero.

this means a solution would be at x=3, since it makes the right side 0 * 0 = 0, and the left side (3)^2 * 0 = 0

It's important to notice this, since had we divided by x-3 to make the equation a quadratic, we would've excluded this real solution, because when dividing by x-3 the solution x=3 makes it 0, so we would've been dividing by zero.

So one of the real solutions is at x=3

6 0

2 years ago