Answer:
x = 2
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
.
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
Answer:
1
Step-by-step explanation:
When numbers are raised to an exponent/power, it means how many times you are multiplying the number by itself.
Follow BEDMAS order. (Brackets, exponents, division/multiplication, addition/subtraction).
Solve inside the brackets of (8^1)^0 first
(8^1)^0 8^1 is 8. (Any number ^1 is itself).
= 8^0 Any number to the power of 0 is 1.
= 1
You can also follow the exponent rule where:
(8^1)^0 = 8^(1*0) = 8^0 = 1
Answer:
t = 2.11 seconds
Step-by-step explanation:
A toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its height h at any given second t is modeled by the equation:
Let us assume that we need to find the time by it to reach the ground. It means h = 0
The above is a quadratic equation. The value of t is given by :
So, it will take 2.11 seconds to reach the ground.