Answer:
Step-by-step explanation:
Split the trapezoid as pictured below
Find its height and the upper base, then find the area of the trapezoid.
There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles
- The ratio of sides of a 30°×60°×90° triangle is 1 : √3 : 2
- The legs of a 45x45 triangle are equal
<u>The above mentioned properties give us:</u>
- h = 16/2 = 8 m
- b = 8√3 ≈ 13.85 m
- a = h = 8 m
<u>Now find the area:</u>
- A = 1/2( 13 + 8 + 13.85 + 13)*8 = 191.4 m²
Correct choice is B
8,000,000,000+300,000,000+90,000,000+
2,000,000+3,000+800+30
Given:
Consider the equation is
To find:
The value of x.
Solution:
We have,
Using properties of exponents, we get
![[\because \dfrac{a^m}{a^n}=a^{m-n},a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%2Ca%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
On comparing both sides, we get
Add 16 on both sides.
Multiply both sides by -1.
Therefore, the value of x is 8.
Answer:
<h2>2x + 5y = -15</h2>
Step-by-step explanation:
The standard form of an equation of a line:
We have the equation in point-slope form:
Convert it to the standard form:
<em>multiply both sides by 5</em>
<em>use the distributive property </em><em>a(b + c) = ab + ac</em>
<em>subtract 35 from both sides</em>
<em>add 2x to both sides</em>
There will be 9 trips the ferry makes and on the last trip there will be 5 cars on the ferry.
