Who can help me with these

A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, thi

AlexFokin [52]

Just plug in the 30° into that equation.

A(30°) = 16sin(30°)(cos(30°) + 1) 
 = 16(1/2)(1 + √3/2) 
 = Approx 14.9 in² 

So A is the answer.

7 0

3 years ago

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Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria

Lesechka [4]

Answer:

The correct option is second one i.e 24 units.

Therefore the height of the triangle is

$NR=24\ units$

Step-by-step explanation:

Given:

An equilateral triangle has all sides equal.

ΔMNO is an Equilateral Triangle with sides measuring,

$NM = MO = ON =16\sqrt{3}$

NR is perpendicular bisector to MO such that

$MR=RO=\dfrac{MO}{2}=\dfrac{16\sqrt{3}}{2}=8\sqrt{3}$ .NR ⊥ Bisector.

To Find:

Height of the triangle = NR = ?

Solution :

Now we have a right angled triangle NRM at ∠R =90°,

So by applying Pythagoras theorem we get

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

Substituting the values we get

$(MN)^{2} = (MR)^{2}+(NR)^{2}\\\\(16\sqrt{3})^{2}=(8\sqrt{3})^{2}+(NR)^{2}\\\\(NR)^{2}=768-192=576\\Square\ rooting\ we\ get\\NR=\sqrt{576}=24\ units$

Therefore the height of the triangle is

$NR=24\ units$

6 0

3 years ago

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Solve equation by factoring 8x^2-8x=0

dusya [7]

Answer: x= 0 or x= 1

Step by step:

Step 1: Factor left side of equation.

= 8x (x – 1) = 0

Step 2: Set factors equal to 0.

= 8x = 0 , x = -1 = 0

= x = 0 , x = –1

3 0

3 years ago

Please guys help me find area of the trapezoid.

max2010maxim [7]

The area for a trapezoid is
A = a+b
2 h hope I was able to help

6 0

4 years ago

Micah and Joel each have a set of five rational numbers. Although their sets are not the same, their sets of numbers have absolu

pychu [463]

Solution :

Ordering numbers means we have to arrange the numbers in ascending order or in a descending order i.e. from small value to big or from big value to small value.

The order of the positive numbers is same as the order of the absolute values and their order of the negative numbers are opposite to the order of their absolute values.

In the context, if Micah is having numbers 1, 2, 3, 4, 5, then the order of the absolute values of the numbers would be 1, 2, 3, 4, 5. Similarly, if Joe is having numbers -5, -4, -3, -2, -1, then the order of their absolute value will be also 1, 2, 3, 4, 5.

And if Micah have the numbers -5, -3, -1, 2, 4, then the absolute values of his numbers is 1, 2, 3, 4, 5. Also if Joe have numbers as -4, -2, 1, 3, 5, then his order of absolute values is also 1, 2, 3, 4, 5.

7 0

3 years ago