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Ulleksa [173]
3 years ago
5

3x + 10 >28 inequality

Mathematics
2 answers:
ratelena [41]3 years ago
5 0

Answer:

x > 6

Step-by-step explanation:

Given

3x + 10 > 28 ( subtract 10 from both sides )

3x > 18 ( divide both sides by 3 )

x > 6

aksik [14]3 years ago
4 0

Answer:

x > 6

Step-by-step explanation:

3x > 28 - 10 \\ 3x > 18 \\ x > 6

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A solid right pyramid has a square base. The length of the base edge is4 cm and the height of the pyramid is 3 cm period what is
Illusion [34]

Answer:

The volume of this pyramid is 16 cm³.

Step-by-step explanation:

The volume V of a solid pyramid can be given as:

\displaystyle V = \frac{1}{3} \cdot b \cdot h,

where

  • b is the area of the base of the pyramid, and
  • h is the height of the pyramid.

Here's how to solve this problem with calculus without using the previous formula.

Imaging cutting the square-base pyramid in half, horizontally. Each horizontal cross-section will be a square. The lengths of these squares' sides range from 0 cm to 3 cm. This length will be also be proportional to the vertical distance from the vertice of the pyramid.

Refer to the sketch attached. Let the vertical distance from the vertice be x cm.

  • At the vertice of this pyramid, x = 0 and the length of a side of the square is also 0.
  • At the base of this pyramid, x = 3 and the length of a side of the square is 4 cm.

As a result, the length of a side of the square will be

\displaystyle \frac{x}{3}\times 4 = \frac{4}{3}x.

The area of the square will be

\displaystyle \left(\frac{4}{3}x\right)^{2} = \frac{16}{9}x^{2}.

Integrate the area of the horizontal cross-section with respect to x

  • from the top of the pyramid, where x = 0,
  • to the base, where x = 3.

\displaystyle \begin{aligned}\int_{0}^{3}{\frac{16}{9}x^{2}\cdot dx} &= \frac{16}{9}\int_{0}^{3}{x^{2}\cdot dx}\\ &= \frac{16}{9}\cdot \left(\frac{1}{3}\int_{0}^{3}{3x^{2}\cdot dx}\right) & \text{Set up the integrand for power rule}\\ &= \left.\frac{16}{9}\times \frac{1}{3}\cdot x^{3}\right|^{3}_{0}\\ &= \frac{16}{27}\times 3^{3} \\ &= 16\end{aligned}.

In other words, the volume of this pyramid is 16 cubic centimeters.

5 0
2 years ago
CAN SOMEONE HELP MEE
Artist 52 [7]

Answer:

11.45

Step-by-step explanation:

the circumference is 36 so divide it by pie then rounded it to the nearest hundredths place

7 0
3 years ago
Three items weighing 5.28 kg 3.68 kg and 5.49 kg are to be posted but are found to be overweight. By how much does the total wei
NikAS [45]

Answer:

1.69 kg

Step-by-step explanation:

add than subtract

yep thats it

3 0
2 years ago
Select all the correct answers.
Lena [83]

An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are A and C.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given exponential (6⁻¹⁰/6⁻⁴) function can be simplified as shown below,

(6⁻¹⁰/6⁻⁴)

= 6⁻¹⁰ × 6⁴

= 6⁽⁻¹⁰⁺⁴⁾

= 6⁻⁶

= 1/6⁶

Hence, the correct options are A and C.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

5 0
2 years ago
The actual length of side y is 22 cm. Use the scale drawing to find the actual length of side x. A) 15.2 cm B) 17.1 cm C) 18.0 c
Ira Lisetskai [31]
Can you post the scale drawing please so I can help you
5 0
3 years ago
Read 2 more answers
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