What are the steps to finding the area of a parallelogram? What are the steps to finding the area of an isosceles trapezoid

Mathematics

1 answer:

Elis [28]3 years ago

5 0

Answer/Step-by-step explanation:

To find the area of the parallelogram, multiply the base of the perpendicular by its height. It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.

The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2). Because the parallelogram is made from the same “stuff” as the trapezoid, that's the area of the trapezoid, too.

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A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35 degrees with the ground distant

Inessa05 [86]

To get the distance of the balloon from the the bottom to the ground we apply the following trigonometric formula:
sin θ=opposite/hypotenuse
θ=35°
opposite=height,h
hypotenuse=75ft
Thus plugging our values in the formula we obtain:
sin 35=h/75
solving for h we get
h=75sin 35
h=43.02~43 ft

7 0

4 years ago

What properties can be used to solve 7y-15=-29. Identity property of multiplication,addition property of equality ,distributive

Sveta_85 [38]

Answer:

Addition Property of Equality.

Inverse property of multiplication.

Step-by-step explanation:

Given the equation:

$7y-15=-29$

First of all, let us use Addition Property of Equality.

According to the property, if we add a number on both sides of an equality, there is no change in the equality.

In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.

First of all, let us add 15 on both sides of the equality:

$7y-15+15=-29+15\\\Rightarrow 7y=-14$

Now, let us Inverse property of multiplication.

i.e. Multiplication of a number with its inverse is equal to 1.

$a\times \frac{1}{a} = 1$

So, let us multiply the given equation with $\frac{1}7$

$7y \times \dfrac{1}{7}=-14 \times \dfrac{1}{7}\\\Rightarrow 1y =-2\\\Rightarrow y=-2$

The properties used are:

Addition Property of Equality.

Inverse property of multiplication.

7 0

3 years ago

Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 +

morpeh [17]

Answer:

B) Additive Identity Property.

Step-by-step explanation:

Let us consider the definition of Additive Identity Property:

The additive identity property states that if you add a real number to zero or add zero to a real number, then you get the same real number back. The number zero is known as the identity element, or the additive identity.

In Step 5 we can see that,

$0-12 = x - 36$