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3 years ago

9. A pyramid has a square base with an area

Mathematics

1 answer:

Vlad [161]3 years ago

4 0

Answer:

48 ft

Step-by-step explanation:

A = 144ft² = l²

144 = l²

l = √144

l = 12 ft

P = 4l

= 4×12ft

= 48 ft

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Question 2 (2 points)

hoa [83]

Answer:

4) The limit does not exist.

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Step-by-step explanation:

*Note:

For a limit to exist, the right-side and left-side limits must be equal to each other.

Step 1: Define

Identify

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x ,\ x < 5\\8 ,\ x = 5\\x + 3 ,\ x > 5\end{array}$

Step 2: Find Left-Side Limit

Substitute in function [Left-Side Limit]: $\displaystyle \lim_{x \to 5^-} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^-} 5 - x = 5- 5 = 0$

Step 2: Find Left-Side Limit

Substitute in function [Right-Side Limit]: $\displaystyle \lim_{x \to 5^+} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$

∴ since $\displaystyle \lim_{x \to c^+} f(x) \neq \lim_{x \to c^-} f(x)$ , $\displaystyle \lim_{x \to 5} f(x) = \text{DNE}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0

3 years ago

Kalone has $175 and needs to save at least $700 for a new computer. If he can save 35$ per week, what is the minimum number of w

34kurt

Hello!

To find the minimum number of weeks Jakob will need to wait if he saved 35 dollars per week, we would need to create an inequality equation.

Since he needs to save at least 700 dollars, it can be represented by the the greater than or equal to symbol. Also, the variable x, will be used in this equation representing the number of weeks. Then, we can create an equation for this problem.

35x + 175 ≥ 700 (subtract 175 from both sides)

35x ≥ 525 (divide both sides by 35)

x ≥ 15

Therefore, Jakob will have to wait a minimum of 15 weeks in order to save at least 700 dollars for a new computer.

3 0

3 years ago

Solve for x. round your answer to 2 decimal places. a right triangle is shown where the angle between the hypotenuse, of length

svlad2 [7]

A right triangle is a special type of triangle where one of the angles makes a right angle or has 90 degrees. The longest side is called as the hypotenuse. The sides can be related by the Pythagorean theorem but it would not be useful here since we are given an angle. Instead, we find other relations. The sides and the angles can also be related by trigonometric functions. For this case we use cosine given that the leg given is adjacent to the angle. We calculate as follows:

cosine 51 = 12 units / hypotenuse
hypotenuse = 19.07 units

The length of the hypotenuse would be about 19.07 units.

6 0

4 years ago

Read 2 more answers

Factor the following equation below: 2m^2+2m-12=0

m_a_m_a [10]

M=2 or m=-3 hope this helps

5 0

3 years ago

Read 2 more answers

Samir bought 3 pounds of cement to repair the crack in his sidewalk each crack needs to be filled with 2 oz of cement part a how

krek1111 [17]

Uhm let’s see how about part b

7 0

3 years ago