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rusak2 [61]
3 years ago
11

Complete the statements about the cone.

Mathematics
2 answers:
UNO [17]3 years ago
7 0

Answer:

Height: 6

Radius: 8

Volume: 128

Step-by-step explanation:

ki77a [65]3 years ago
3 0

Answer:

The high is 6 Units

the radius is 8 units

The volume is 16 cubic units

Step-by-step explanation:

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The area of an Equilateral triangle is given by the formula A= 3pi squared/4(s)Squared. Which formula represents the length of e
ad-work [718]

Answer:

The formula that represents the length of an equilateral triangle’s side (s) in terms of the triangle's area (A) is \text{s}= \sqrt{ \frac{4 \text{A}}{\sqrt{3} }} .

Step-by-step explanation:

We are given the area of an Equilateral triangle which is A = \frac{\sqrt{3} }{4} \times \text{s}^{2} . And we have to represent the length of an equilateral triangle’s side (s) in terms of the triangle's area (A).

So, the area of an equilateral triangle =  \frac{\sqrt{3} }{4} \times \text{s}^{2}

where, s = side of an equilateral triangle

A  =  \frac{\sqrt{3} }{4} \times \text{s}^{2}

Cross multiplying the fractions we get;

4 \times A = \sqrt{3} \times \text{s}^{2}

\sqrt{3} \times \text{s}^{2}= 4\text{A}

Now. moving \sqrt{3} to the right side of the equation;

\text{s}^{2}= \frac{4 \text{A}}{\sqrt{3} }

Taking square root both sides we get;

\sqrt{\text{s}^{2}} = \sqrt{ \frac{4 \text{A}}{\sqrt{3} }}

\text{s}= \sqrt{ \frac{4 \text{A}}{\sqrt{3} }}

Hence, this formula represents the length of an equilateral triangle’s side (s) in terms of the triangle's area (A).

7 0
3 years ago
A rectangular lawn, 100 feet long by 50 feet wide, is to have two sidewalks installed that will cut the lawn in half both ways,
Damm [24]

Answer:

3.41 feet

Step-by-step explanation:

Area = Length × Breath

Area of the rectangular lawn = 100 × 50

                                                = 5000 feet²

The sidewalk must occupy an area no more than 10% of the total lawn area.

So, the area of the sidewalk would be not more than  = 10% × 5000

                                                                                         = 0.10 × 5000

                                                                                        = 500 feet²

Let the width of the sidewalk = x feet

area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)

(100 × x) + ((50 - x) × x) < 500

100x + (50-x)(x) < 500

-x²  + 150x < 500

-x² + 150x = 500

-x² + 150x - 500 = 0

By using quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{(-150)\pm\sqrt{(150)^2-4(-1)(-500)} }{2(-1)}

x=\frac{-150\pm \sqrt{20500} }{-2}

x=75-5\sqrt{205} or x=75+5\sqrt{205}

x = 3.41089 ≈ 3.41 feet  or  x = 146.58

Therefore, width of the sidewalk would be 3.41 feet.

5 0
3 years ago
5. Tanya made a deposit of $150 into her
xenn [34]
She now has $300 in her account
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3 years ago
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The minimum wage in 2003 was $5.15. This was w more than the minimum wage in 1996. Write an expression for the minimum wage in 1
bekas [8.4K]
$5.15 - w = minimum wage in 1996

(if that wasn't what you were looking for then comment what you really wanted)
8 0
3 years ago
Caleb scored 60 on his first math test. He studied diligently for the next test and earned a score of 90. What is his percent of
Scrat [10]

Your answer would be C. 50%

7 0
4 years ago
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