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2 years ago

Helppppppppppppppppppppppppppppppp

Mathematics

1 answer:

tamaranim1 [39]2 years ago

3 0

Answer:

a) 23 and 24

b) see step-by-step

c) 23.2

Step-by-step explanation:

a) find the greatest square number below 540?

find the smallest square number above 540?

23² = 529 and 24² = 576

529 < 540 < 576

⇒ √529 < √540 < √576

⇒ 23 < √540 < 24

Hence, √540 lies between 23 and 24

b) **I'm not sure how accurate they want this, so I've added several options**

√540 = 23.23790008...

23.23790008... - 23 = 0.2379000772...

0.2379000772... = 2,379,000,772 / 10,000,000,000

Therefore, √540 = 23 and 2,379,000,772 / 10,000,000,000

Or 23 and 2,379 / 10,000

Or 23 and 24/100 = 23 and 6/25

Or 23 and 2/10 = 23 and 1/5

c) (√540)² = 540

So we are looking for a number whose square is 540.

We know that √540 lies between 23 and 24 (from part a), so let's start with 23.5:

23.5² = 552.25

552.25 > 540 so try a smaller number

23.3² = 542.89

542.89 > 540 so try a smaller number

23.2² = 538.24

538.24 < 540

23.24² = 540.0976

540.0976 > 540

So √540 lies between 23.2 and 23.24, therefore, the decimal approximation is 23.2 to the nearest tenth place

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Answer:

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3 years ago

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A company makes traffic signs one of those signs can be modeled by an equilateral triangle with the perimeter of 144 inches the

barxatty [35]

Answer:

The height of the larger traffic signs is 51.96 inches

Step-by-step explanation:

Given that initially, A company makes traffic signs of an equilateral triangle with the perimeter of 144 inches

Now, A company makes similar traffic signs of perimeter 1.25 of original

New perimeter will be 1.25x144=180 inches

Let triangle ABC be a larger triangle with 180inches of the perimeter.

It is given that the triangle is an equilateral triangle,

Therefore, Side AB=BC=AC

The perimeter of a triangle ABC is

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3AB=180

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Figure show that triangle ABC and AD is the height of the triangle.

Since, the triangle ABC is an equilateral triangle,

AD is the perpendicular bisector of BC

so that,

BD=DC and Angle ADB=90

In right triangle ADB,

Angle D =90 and Angle B =60

Side BD=60/2=30 inches and AB=60 inches

Using Pythagoras theorem,

$AD^{2} +BD^{2} =AC^{2}$

$(AD)^{2} +(30)^{2} =60^{2}$

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4 0

3 years ago

Solve for a. 7a-2b=5a+b

velikii [3]

8.5b.
7a= 5a +3b
-5a -5a
2a = 3b
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Solve by substitution and you get;
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3 years ago

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Archy [21]

Method 1:

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<h3>Answer: Henry will need 3 cups of water.</h3>

Method 2:

$\begin{matrix}\dfrac{1}{4}\ \text{cup of corn}&-&\dfrac{1}{2}\ \text{cup of water}&|\text{multiply both sides by 2}\\\\\dfrac{1}{2}\ \text{cup of corn}&-&1\ \text{cup of water}&|\text{multiply both sides by 2}\\\\1\ \text{cup of corn}&-&2\ \text{cup of water}&|\end{matrix}$

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<h3>Answer: Henry will need 3 cups of water.</h3>