Find the length of the hypotenuse.

a. 12
b. 6
c. 5
d. 18

Answer:

2463 cm^3

Step-by-step explanation:

Given that a cylinder of height of 24cm and base diameter 14cm, a cone having equal radius and height is hollowed out. Find the volume of the remaining solid of the cylinder.

Let first calculate the volume of the cylinder

V = πr^2h

Where the radius = 7 cm

V = π × 7^2 × 24

V = 3694.5 cm^3

Let's calculate the volume of a cone

V = 1/3πr^2h

V = 1/3 × π × 7^2 × 24

V = 1/3 × 3694.5

V = 1231.5 cm^3

To Find the volume of the remaining solid of the cylinder, minus the volume of a cone from the volume of a cylinder

Remaining volume V = 3694.5 - 1231.5

V = 2462.99 cm^3

V = 2463 cm^3 approximately

Answer:

i would help you but i dont know thw ansewer

Step-by-step explanation:

Answer:

x < 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

7x - 9 < 12

Step 2: Solve for x

Here we see that any value x smaller than 3 would work as a solution to the inequality.

Answer:

x < 3

Step-by-step explanation:

7x-9 = 12

take -9 on the other side to get

7x =12+9

7x = 21

x=3

x < 3

Answer:

uh ???????????????????????

Answer:

The inequality shown in the graph is y ≤ -3x + 3 ⇒ C

Step-by-step explanation:

The linear form of the equation of a line is y = m x + b, where

From the given graph

∵ The line passes through points (0, 3) and (2, -3)

∴ x1 = 0 and x2 = 2

∴ y1 = 3 and y2 = -3

∵ The slope of the line is m = Δy/Δx

∵ Δx = 2 - 0 = 2

∵ Δy = -3 - 3 = -6

∴ m = [tex]\frac{-6}{2}[/tex]

∴ m = -3

∵ b is value y at x = 0

∴ b = 3

→ Substitute m and b in the form of the equation above

∴ y = -3x + 3

∵ The line is solid and the shading area is under the line

∴ The sign of inequality is ≤ ⇒ (smaller than or equal)

→ Change = in the equation by ≤ to get the inequality

∴ y ≤ -3x + 3

∴ The inequality shown in the graph is y ≤ -3x + 3

Answer:

X : 2__ 3 ___ 5 ___ 6 ___7

Y: 4 __3.5 __2.5___2 __ 1.5

Step-by-step explanation:

Given tbe equation for tbe residual :

y = -0.5x + 5

X : 2, 3, 5, 6, 7

X = 2

Y = - 0.5(2) + 5 = 4

X = 3

Y = - 0.5(3) + 5= 3.5

X = 5

Y = - 0.5(5) + 5 = 2.5

X = 6

y = -0.5(6) + 5 = 2

X = 7

y = -0.5(7) + 5 = 1.5

X : 2__ 3 ___ 5 ___ 6 ___7

Y: 4 __3.5 __2.5___2 __ 1.5

Answer:

c) x > -3 or x ≤ 2

Step-by-step explanation:

We are asked to solve this algebraic expression

-9 < 4x+3 ≤ 11.

We have two parts:

a) -9 < 4x+3

b) 4x+3 ≤ 11

For

a) -9 < 4x+3

Subtract 3 from both sides

-9 - 3 < 4x + 3 -3

-12 < 4x

-12/4 < x

-3 < x

x > -3

b) 4x+3 ≤ 11

Subtract 3 from both sides

4x + 3 -3 ≤ 11 - 3

4x ≤ 8

x ≤ 8/4

x ≤ 2

Hence, our answer is

x > -3 or x ≤ 2

Answer:

-5 < x < -4

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

x² + 9x < -20

Step 2: Solve for x

This tells us that the value of x must be between -5 and -4 in order to render the inequality true.

Answer:

x < 8

Step-by-step explanation:

the dot isnt filled so symbol wont have a line under it

line moving left of 8 so less than 8.

[tex]\boxed{\boxed{\pink{\bf \leadsto Yes \ the \ gi en \ sequence \ is \ Arithmetic \ Sequence. }}}[/tex]

Given sequence to us is , 1.1, 1.5, 1.9, 2.3, 2.7, . And we need to find whether they are in arithmetic sequence or not .

Arthemetic Sequence :-

A sequence is said to be in Arithmetic sequence if the difference of two consecutive terms is same. That is constant .

Here if we look at the sequence , 1.1, 1.5, 1.9, 2.3, 2.7, . The diffrence of consecutive terms is same.

That is ,

• 1.5 - 1.1 = 0.4

• 1.9 - 1.5 = 0.4

• 2.3 - 1.9 = 0.4

• 2.7 - 2.3 = 0.4

Hence here the difference of two consecutive terms is same . That is 0.4 .

Answer: h>54

Step-by-step explanation:

The inequality that represents the condition given is h > 54 inches.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given, To ride a roller coaster, a visitor must be taller than 54 inches.

Since "h" represents the height (in inches) of a visitor able to ride.

Since the visitor's height can not be smaller than 54.

thus inequality:

h > 54

therefore, h > 54 inches is the inequality that depicts the stated condition.

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ2

Answer:

x°=118

(x-56)°= 62

Step-by-step explanation:

90×2 = 180

360-180=180

x+(x-56) =180 x=118

118-56=62

Answer:

1) the 5th term is 2401

The answer is 10.

Step-by-step explanation:

We need to solve 1 1/4 + 2 2/4 + 3 3/4 + 1/4 + 2 1/4.

Every fraction has a denominator as 4. So, the denominator of the whole fraction is 4.

[tex]\dfrac{5}{4}+\dfrac{10}{4}+\dfrac{15}{4}+\dfrac{1}{4}+\dfrac{9}{4}\\\\=\dfrac{5+10+15+1+9}{4}\\\\=\dfrac{40}{4}\\\\=10[/tex]

So, the value of the given expression is 10.

Answer:

180=11x-28+7x-8

180=18x-36

+36        +36

216=18x

18x   18x

12=x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Look at step by step explanation

Step-by-step explanation:

If this is edgenunity here are your 3 answers

slope: 1/3

The y- intercept 3

Linear function f(x) = (1/3)x+3

Answer:

c number is the correct one i think

Answer:

c. d. different slopes; same y-intercept

for all the equations, when x = 0, y = -2

apart from the last equation which has no x-intercept.

They have different slopes i.e

y=x-2 has a slope of 1

y=2x-2 has a slope of 2

y=x-2 has a slope of 1

y=-2 has no slope

Answer:

Step-by-step explanation:

Adults = x, Children =y

3y=x

Answer: 40,11

Step-by-step explanation:

larger number=a

smaller number =b

a+b=51

a=4b-4

4b-4+b=51

5b=51+4

5b=55

b=11

a=4*11-4=44-4=40

Answer:

7-n

Step-by-step explanation:

Answer:

The expression would just be 7-n

Answer:

2

Step-by-step explanation:

The highest exponent of the variable is known as degree of the polynomial. The eqn. given in the question has exponents 2 & 1 out of which 2 is the highest exponent . So 2 is the degree of the polynomial.

Answer:

V(x) = 28,500 × 0.8^4 ≈ $11674

Step-by-step explanation:

Step 1: Start off by factoring.

80% = 80/100 = 0.8

Step 2: Multiply the numbers.

$28,500 x 0.8^4 = 11673.60

Step 3: Round to the nearest whole.

$11673.60 ≈ $11674.00

Your answer is $11674.00.

Have a nice day!

Answer:

0.0776

Step-by-step explanation:

Number of cards = 5 ; 3 red and 2 green

Since it is with replacement :

Probability of picking a replacement d ball: P(red) = required / total possible outcomes

P(red) = 3 / 5 = 0.6

Using binomial :

P(x =x) = nCx * p(x)^x * (1 - p)^(n - r)

P(x = 5) = 5C5 * (0.6)^5 * 0.4^0

P(x = 5) = 1 * 0.07776 * 1

P(x = 5) = 0.0776

Answer:

The answer is "Prudence".

Step-by-step explanation:

It is the capacity, through the use of justification, to regulate or control yourself. Although pragmatism does not perform any actions and seems to be concerned primarily with information, it would have to control certain values. It is also the desire, utilizing purpose, to direct the control from one's activities and behavior.

Answer:

[tex]y = 5x[/tex] -- You

[tex]y = 3 + 3x[/tex] --- Your friend

Step-by-step explanation:

Given

You:

Trailhead implies the beginning so:

[tex]Start = 0\ mile[/tex]

[tex]Rate = 5miles/hour[/tex]

Your Friend

[tex]Start = 3\ mile[/tex]

[tex]Rate = 3miles/hour[/tex]

Required

Represent as an equation

From the question, we understand that:

[tex]y = distance[/tex]

[tex]x = number\ of\ hours[/tex]

So, the relationship between [tex]distance\ and\ time\ is:[/tex]

[tex]Distance = Start + Rate * Number\ of\ hours[/tex]

In terms [tex]of\ x\ and\ y[/tex], we have:

[tex]y = Start + Rate * x[/tex]

For you, the equation becomes:

[tex]y = 0+ 5* x[/tex]

[tex]y = 0+ 5x[/tex]

[tex]y = 5x[/tex]

For your friend, the equation becomes:

[tex]y = 3 + 3 * x[/tex]

[tex]y = 3 + 3x[/tex]

Answer:You

Step-by-step explanation: you are just better gangy

Answer:

6

Step-by-step explanation:

Answer:

j + 9 = 15

j=6

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

Deposit means you are giving money to the bank for them to save for you. Essentially, you are losing $145 you have on you but the bank is gaining that money for you to take out at any time necessary. Keep in mind that interest may be applied to that money monthly so all that money may not always be there.

Best of Luck!