Answer:
5cm by 1.95cm
Step-by-step explanation:
Let the length of the rectangle be x
Let the width be y
Perimeter of a rectangle = 2x + 2y
If the initial perimeter of a rectangle is about 13.9 cm, then;
13.9 = 2x + 2y ..... 1
If when the width is double the perimeter is 17.8cm, then;
17.8 = 2x + 4y ..... 2
Subtract 1 from 2;
13.9 - 17.8 = 2y - 4y
- 3.9 = -2y
y = 3.9/2
y = 1.95 cm
Substitute y = 1.95 into 1 to get x;
From 1;
13.9 = 2x + 2y
13.9 = 2x + 2(1.95)
13.9 = 2x + 3.9
2x = 13.9-3.9
2x = 10
x = 5 cm
Hence the dimension of the smaller triangle is 5cm by 1.95cm
Answer:
16pi mi
Step-by-step explanation:
The smallest circumference for a given area is that of a circle with that area. The area is given by ...
A = πr²
so we can find r as ...
64π = πr²
r = √64 = 8 . . . . miles
The circumference of this circle is ...
C = 2πr = 2π·(8 mi) = 16π mi
The circumference of the area is at least 16π miles.
_____
If the shape is not constrained to a circle, the circumference can be anything you like.
PQ = 2 units
height = 4 units
area = 2*4 = 8/2 = 4 square units
Answer:
<u><em>x=3.4</em></u>
Step-by-step explanation:
Use the Pythagorean theorem:
a and b are the legs and c is the hypotenuse (x)*
Insert the values:
Simplify exponents
Simplify addition:
Find the square root:
Finito.
*The hypotenuse is the side opposite the 90° angle and the longest side of a triangle, always.
37% out of 87% equals to 42.5
