Answer:
a = 33cm
b = 33cm
c = 11cm
Step-by-step explanation:
Let us say that the sides of the triangle are <em>a, b and c</em>
The perimeter of a triangle can be calculated by adding all three sides of the triangle.
Perimeter = <em>a + b + c</em>
<em />
Let side <em>c</em> be the shortest side of the triangle.
From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that
<em>a = 3c and b = 3c</em>
We can input these values into the perimeter of the triangle
Perimeter = <em>3c + 3c + c = 77</em>
<em>Perimeter = 7c = 77</em>
<em>c = 11</em>
The shortest side, c is = 11 cm
side a is 3 X 11 = 33cm
side b = 3 X 11 = 33 cm
Answer:
456 
Step-by-step explanation:
Find the height of the trapezoid first (QR):
= 12
QR = 12
Area:
× h = 
× 12
= 456
Answer:
≈ 397 m
Step-by-step explanation:
Using Pythagoras' identity on the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Let h represent the height of the balloon above ground, then
h² + 50² = 400², that is
h² + 2500 = 160000 ( subtract 2500 from both sides )
h² = 157500 ( take the square root of both sides )
h ≈ 397 m ( to the nearest metre )
Answer:
$1.61
Step-by-step explanation:
Tax paid = 7% of $23
= 0.07*23
= $1.61
So if she got them at 30% off that means
$63 = 70%
divide both sides by 70 to get 1%
$0.90 = 1%
multiply by 100 to get full price
$90 = 100%
original price was $90
