Answer:
3
Step-by-step explanation:
Call that number “x”
The square of that number is x^2
Also as the cube is x^3
The ratio between these 2 values is 1:3, this means x^2 / x^3 = 1 / 3
<==> 1 / x = 1 / 3 (eliminate “x^2” for numerator and denominator of the fraction x^2 / x^3 )
<==> x = 1 * 3 / 1 = 3
So, that number is 3 ! This math problem seems simple ;)
Answer:
The height of the triangle is 7cm and the base is 16cm
Step-by-step explanation:
First of all we have to know the formula to calculate area of a triangle
a = area = 56
b = base
h = heigth
a = (b * h)/2
we replace the known values and we make 2 equations
56cm² = (b * h)/2
b = h + 9cm
we replace b by (h + 9cm) in the first equation
56cm² = (h + 9cm * h)/2
56cm² * 2 = h² + 9h
0 = h² + 9h - 112cm²
we use bhaskara formula:
(-b (±) √
(b² - 4ac) ) / 2a
we replace with the known values
h = (-9 (±) √
(9² - 4*1*(-112) ) ) / 2*1
h = (-9 (±) √
(81 + 448) ) ) / 2
h = (-9 (±) √529) /2
h = (-9 (±) 23)/2
h1 = (-9 + 23) / 2
h1 = 14 / 2
h1 = 7
h2 = (-9 - 23) / 2
h2 = -32 / 2
h2 = -16
The height of the triangle is 7cm and the base is 16cm
The image of the given scenario is attached below.
A right angled triangle is formed, with one angle equal to 27 degrees. The perpendicular side is 155 and we are to find the length of guy wire which makes the hypotenuse of the right angled triangle.
Using the formula of sine, we can write:
Rounding to nearest whole number, the length of the guy wire that must be attached is 341 feet.
Answer:
Infinite solutions
Step-by-step explanation:
2x−7y=12 (1)
−x+3.5y=−6 (2)
(2) x = 3.5y + 6
(1) 2(3.5y+6) - 7y = 12
7y + 12 - 7y = 12
12 = 12 (a true statement)
Since the variable got eliminated and we got a true statement, the system has infinitely many solutions.
One of the solutions:
(6,0)
