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3 years ago

I have way more questions than this answer them if you want pleaseee!!

Mathematics

1 answer:

aliina [53]3 years ago

5 0

The right answer is Option C.

Step-by-step explanation:

Given inequality is

6(2x-1) > 24

Solving the inequality

$6*2x-1*6>24\\12x-6>24$

Adding 6 on both sides

$12x-6+6>24+6\\12x>30$

Dividing both sides by 12

$\frac{12x}{12}>\frac{30}{12}\\x>\frac{5}{2}$

Therefore,

$x>\frac{5}{2}$

The right answer is Option C.

Keywords: inequality, division

Learn more about division at:

#LearnwithBrainly

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What is the length of the cylinder's height? Please help

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Answer:

Height = 9 cm which means Option C is the answer

Step-by-step explanation:

In the question we are given ,

Volume of cylinder = 225π cm³

Radius of cylinder = 5 cm

And , we have to find the height of cylinder .

We know that ,

$\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow$

Our solution starts from here :

$\longmapsto \: \pi \: r {}^{2} h = 225\pi$

Step 1 : Cancelling π with π :

$\longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}$

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$\longmapsto \: (5) {}^{2} \times h = 225$

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Step 3 : Transposing 25 to right hand side :

$\longmapsto \: h = \frac{225}{25}$

Step 4 : Cancelling 225 by 25 :

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2 years ago

Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answe

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The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.

<h3>What is the area of a regular polygon?</h3>

The area of the polygon is the product of half of the apothem of the triangle and perimeter.

The area of the polygon = $\frac{1}{2} \times h \times p$

The side of the triangle is 10 units.

Apothem of an equilateral triangle

$s = \frac{\sqrt{3} a}{6}$

s= $\sqrt{3} \times 10/6$

s = 2.88

Here, a is the side of the triangle.

Thus the apothem of the triangle is 2.9 units.

The perimeter of the equilateral triangle is equal to the three times the sides.

Perimeter of the equilateral triangle ,

P = 3(10)

P = 30

Therefore, the perimeter of the equilateral triangle is 30 units.

The area of the equilateral triangle-

The area of the polygon = $\frac{1}{2} \times h \times p$

A = $1/2 \times 2.9 \times 30$

A = 43.5

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