Answer:
a(14)=469762048
Step-by-step explanation:
geometric sequence= a(n)=a*r^(n-1)
we have:
a=7
r=28/7=4
So:
a(14)=7*4^(14-1)
=7*4^(13)
=469762048
hope this helps
Answer:
10 in.
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of the 4 sides.
perimeter of rectangle = length + length + width + width
Opposite sides of a rectangle have the same length. Since one side measures 4 inches, the opposite side also measures 4 inches. Since one side measures 1 inch, the opposite side also measures 1 inch. There are two 4-inch sides and two 1-inch sides.
perimeter = 4 in. + 4 in. + 1 in. + 1 in.
perimeter = 10 in.
Given that there is no any option to choose I am going to help you according to the concepts of
Congruent Triangles. Two triangles are congruent if and only if:
1. They have:exactly the same three sides
2. exactly the same three angles.
<span>There are five ways to find if two triangles are congruent but in this problem we will use only two.
First Answer:<u>ASA criterion:</u> </span><em>A</em><span><em>ngle, side, angle</em>. This means that we have two triangles where we know two angles and the included side are equal.</span>
So:
If ∠BAC = ∠DEF and

<em>Then ΔABC and ΔEFD are congruent by ASA criterion.</em>
Second answer:<u>SAS criterion:</u> <em>S</em><span><em>ide, angle, side</em>. This means that we have two triangles where we know two sides and the included angle are equal.
</span>

<em>Then ΔABC and ΔEFD are congruent by SAS criterion.</em>
Area of the square: A s = s².
Area of the circle: A c = ( 1/2 s )² π = 1/4 s² · 3.14 = 0.785 s²
Area inside the square but outside the circle: s² - 0.785 s² = 0.215 s²
The ratio:
0.215 s² : s² = 0.215 : 1 = 215 : 1000 = 43 : 200 .