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3 years ago

Find the area of an equilateral triangle with radius 22 cm. Round to the nearest whole number.

Mathematics

1 answer:

earnstyle [38]3 years ago

4 0

Answer:this item, we are given with the radius equal to 22 cm.

In this measurement of the radius is the hypotenuse of the 30°-60°-90° triangle formed with the half the measurement of the side of the equilateral triangle being opposite to the 60° and equal to the hypotenuse times (1/2)(√3)

Step-by-step explanation:

If we let s be the side of the triangle then,

s/2 = r(1/2)(√3)

Multiplying the equation by 2,

s = r√3

Substituting,

s = (22 cm)(√3) = 22√3

The area of the equilateral triangle is computed through the equation,

A = (√3 / 4)(s²)

Substituting,

A = (√3 / 4)(22√3)² = 628.7 cm²

Therefore, the answer to this item is the first choice.

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an Archer shoots an arrow into the air such that its height at any time T is given by the function H (t) = -16t^2+ Kt + 3 if the

Sunny_sXe [5.5K]

$\begin{gathered} H(t)=-16t^2+kt+3 \\ At\text{ maximum height, final velocity = 0} \end{gathered}$

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1 year ago

PLZ HELP I SUCK AT MATH :( JUST LIKE MY USERNAME SAYS :(

Citrus2011 [14]

Answer:

Option C and Option D have exactly one solution.

Step-by-step explanation:

The equation will have exactly one solution when it completely solves and we get value of x.

Checking all choices

(Choice A)

-19x + 18 = -19x + 18

-19x+19x=18-18

0=0

(infinite solutions)

(Choice B)

-19x -18 = -19x + 18

-19x+19x=18+18

0≠36

(no solution)

(Choice C)

19x + 18 = -19x + 18

19x+19x=18-18

38x=0

x=0

(One solution)

(Choice D)

19x - 18 = -19x + 18

19x+19x=18+18

38x=36

x=36/38

x=18/19

(One solution)

So, Option C and Option D have exactly one solution.

4 0

3 years ago

Hoang has worked as a nurse at Springfield General Hospital for 7 years longer than her friend Bill. Two years ago, she had been

Evgesh-ka [11]

Answer:

$Bill\to 9\ years$

$H \to 16\ years$

Step-by-step explanation:

Let

$H \to Hoang$

$B \to Bill$

Currently:

$H = B + 7$

Two years ago

$H - 2 = 2 * (B -2)$

Required

H and B

We have:

$H - 2 = 2 * (B -2)$

Open bracket

$H -2 =2B - 4$

Add 2 to both sides

$H -2+2 =2B - 4+2$

$H =2B -2$

Substitute $H = B + 7$

$B + 7 =2B -2$

Collect like terms

$2B - B =7+2$

$B = 9$

Substitute $B = 9$ in $H = B + 7$

$H = B + 7$

$H = 9 + 7$

$H = 16$

3 0

3 years ago

In the triangle below, the value of h is 3/4 the side length that is labeled on the figure. What is the area of the triangle?

Nataly_w [17]

The correct answer is: [C]: " 8.64 mm² " .
________________________________________________
Note:
______________________________________________________
Area of a triangle = (½)*(base length)*(height; that is, "perpendicular height");
________________________________________________________
or: A = (½) * b * h ;
_________________________
Given: "b = 4.8 mm" ;
            "h = (¾) * b = (¾)* (4.8 mm) = 3.6 mm ;
               → h = 3.6 mm ;
_____________________________________
→ A = (½) * b * h ;

           = (½) * (4.8 mm) * (3.6 mm) ;

    → A = 8.64 mm² ; which is: Answer choice: [C] .
______________________________________

4 0

3 years ago

Find the product of 6x and 2y2

MArishka [77]

Answer: 24xy

I'm not sure if I'm right, but if I am and you have any questions about how it was solved, feel free to ask!! :)

6 0

2 years ago