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2 years ago

The volume of a cylinder is 320 pi cm cubed. The radius of the base of the cylinder is 4 cm. What is the height of the cylinder?

Mathematics

1 answer:

Dmitrij [34]2 years ago

6 0

Answer:

h = 20 cm

Step-by-step explanation:

π4²h = 320π

h = 20 cm

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En un hotel hay 67 habitaciones entre dobles y sencillas, si el número de camas es 92. ¿Cuántas habitaciones hay de cada tipo?

Alina [70]

Answer:

25 dobles y 42 sencillas

Step-by-step explanation:

25 x 2 = 50 camas + 42 = 92

y 25 habitaciones dobles + 42 sencillas = 67

7 0

3 years ago

7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

morpeh [17]

Hey there!

Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

Answer :

x = -4 or x = 2 ✅

Explanation :

Quadratic formula : ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :

If b² - 4ac > 0 , There are 2 real-number solutions

If b² - 4ac = 0 , There is 1 real-number solution.

If b² - 4ac < 0 , There is no real-number solution.

The roots of the equation are determined by the following calculation:

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

Here, we have :

a = 1
b = 2
c = -8

1) Calculate the discriminant :

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) Calculate the roots of the equation:

▪️ (1)

$x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}$

▪️ (2)

$x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}$

>> Therefore, your answers are x = -4 or x = 2.

Learn more about quadratic equations:

brainly.com/question/27638369

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2 years ago

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What is 7/10 - 1/2 in simplest form

maw [93]

7/10-1/2 in simple form. so the two fractions have different denominators so you need to multiply both denominators 10x2 = 20 so both fractions have 20 on the bottom so they are like this now: 7/20-1/20= 6/20 simplify by 2: 6/20 divide by 2/2 =3/10. 3/10 is your answer

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3 years ago

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Which graph shows the solution to the equation 4x-4=4?

Mama L [17]

Answer:

Step-by-step explanation:

y = 4x - 4 is a line with y-intercept -4 and slope 1. Both graphs A and C show that line in blue.

y = 4 is a horizontal line through y = 4. Graph A shows that line.

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3 years ago

6÷2(1+2)= ???????????

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3(1+2)
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3 years ago