Find the area and perimeter of an isosceles trapezoid with a 60° base angles and bases 9 and 13.

Answers

Answer 1

Answer:

The area and perimeter of an isosceles trapezoid with a 60° base angles and bases 9 and 13 is 38.105 squared units and 24 units respectively.

What is area and perimeter of the isosceles trapezoid?

The area of the isosceles trapezoid is the space occupied by it. It can be find out using the following formula,

$A=(a+b)/(2)* h$

Permiter of the isosceles trapezoid is the total length of the boundary by which it is enclosed. It can given as,

$P=a+b+2c$

Here (a,b) are the base side (c) is the side of leg and (h) is the height.

The image of the given isosceles trapezoid is attached below. Let the value of leg is x units. Thus using right angle property the cos theta is,

$\cos60=(2)/(x)\nx=1$

And the height of this trapezoid is,

$\tan60(h)/(2)\nh=3.46$

Thus the area of the solid is,

$A=(9+13)/(2)* 3.46\nA=38.105\rm\; units^2$

The perimeter of the solid is,

$P=9+13+2*1\nP=24\rm\; units$

Thus, the area and perimeter of an isosceles trapezoid with a 60° base angles and bases 9 and 13 is 38.105 squared units and 24 units respectively.

Learn more about the area of the isosceles trapezoid here;

brainly.com/question/436117

Answer 2

Answer: The trapezoid has two right triangles each with one side of length (13-9)2 = 4/2 = 2.

The other side of each right triangle is such that tan 60° = Heigth / 2

Then height = 2*tan60°.

The area of the trapezoid is height * (base 1 + base 2)/2

Then area = 2*tan (60°) * (13+9)/2 = 38.11

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PLEASE HELP FAST!!!Which quadratic function contains the ordered pairs (−1,4), (0,3), and (1,4)?

Answers

Answer:

The 1st one

Step-by-step explanation:

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The first one

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Figure ABCD is a parallelogram with point C (−4, 1). Figure ABCD is rotated 90° clockwise to form figure A′B′C′D′. What coordinate would be the output for point C'?

Answers

There are certain rules to follow when rotating a point 90 deg clockwise. Since it is given that ABCD is a parallelogram and the coordinates of point C are given, we just have to follow this simple relation:

R(90 deg) : (X,Y) ---> (-Y,X)

Using the given coordinates:
R(90 deg) : (-4,1) ---> (-1,-4)

Therefore, Point C' will be located at (-1,-4)

Answer:

(1,4)

Step-by-step explanation:

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The following triple represents the side lengths of a triangle. Determine whether the triangle is a 45-45-90 triangle, a 30-60-90 triangle, or neither.2, 1, 2squared3.

Answer Choices:
a.
45-45-90 triangle
c.
neither
b.
30-60-90 triangle

Answers

If the sides of the triangle have lengths of: 2, 1, and 2√3

Then, the triangle is a

c. neither a 45-45-90 triangle nor a 30-60-90 triangle.

Looking at the lengths, if the triangle is a right triangle
2 and 1 must be the measure of the legs
2√3, the measure of the hypotenuse

If we use the Pythagorean theorem,
2^2 + 1^2 = (2√3)^2
5 = 12 (not correct)

Therefore, the triangle is not a right trangle

Equation for y-intercept

Answers

y=mx+b

Where m is the slope
and b is the y-intercept

you can use linear equation to find your y-intercept: y = mx + b

Two non-simultaneous events have an equal likelihood of occurring (50%). If the events are independent of each other, what is the probability that they will both occur?