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2 years ago

Which of the following is equivalent to the quadratic equation below after

Mathematics

1 answer:

Temka [501]2 years ago

3 0

Answer:

Step-by-step explanation:

x^2 + 10x + 5 - 30 = 0

x^2 + 10x - 25 = 0

x^2 + 10x = 25

x^2 + 10x + 25 = 25 + 25

(x + 5)^2 = 50 <====

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A sawdust pile has a base diameter of 35 feet when it’s height is 30 feet, find the volume of the pile when it is at 50 feet tal

ladessa [460]

Answer:

The volume of the sawdust pile is 16041.7 feet.

Step-by-step explanation:

The sawdust pile formed is in the form of a cone.

The volume of a cone is:

$V=\frac{1}{3}\ \pi r^{2}\ h$

The information provided is:

r = radius of the base = diameter ÷ 2 = (35 ÷ 2) feet

h = height = 50 feet

Compute the volume of the sawdust pile as follows:

$V=\frac{1}{3}\ \pi r^{2}\ h$

$=\frac{1}{3}\times \frac{22}{7}\times (\frac{35}{2})^{2}\times 50\\\\=16041.6667\\\\\approx 16041.7\ \text{feet}$

Thus, the volume of the sawdust pile is 16041.7 feet.

7 0

2 years ago

Y=x^2+3x-7 y-5x+8=0 how many solutions are there

motikmotik

X^2+3×-7=5x-8
X^2-2x+1=0
(X-1)(x-1)=0
X=1 x=1

Y=1^2+3*1-7
Y=1+3-7
Y=4-7
Y=-3

×=1 y=-3
Solution = (1,-3)
Answer= one solution

7 0

2 years ago

72 paper clips to 63 paper clips

Valentin [98]

Answer:

72-63=9

9/72=13%

13% IS .13 SO TENTH IS .1

I AM NOT SURE ABOUT THE TENTH

Step-by-step explanation:

4 0

2 years ago

Dovator [93]

Answer:

Step-by-step explanation:

5 0

2 years ago

If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nea

777dan777 [17]

Answer:

The lengths of side A is 22.4 and B is 11.9.

Step-by-step explanation:

Given:

If side A is twice as long as B and C is 25 using the Pythagorean Theorem.

Now, to find the lengths of side A and B.

Let the side B be $x.$

So, the side A be $2x.$

Side C = 25.

Now, to solve by using Pythagorean Theorem:

A² + B² = C²

$(2x)^2+(x)^2=(25)^2$

$4x^2+x^2=625$

$5x^2=625$

Dividing both sides by 5 we get:

$x^2=125$

Using square root on both sides we get:

$x=11.18.$

B rounding to the nearest tenth = 11.9.

Now, to get A by substituting the value of $x$ :

$2x\\=2\times 11.18\\=22.36.$

A rounding to the nearest tenth = 22.4.

Therefore, the lengths of side A is 22.4 and B is 11.9.

8 0

2 years ago