We can think of this as a right triangle, where the given lengths are the legs.
So, we can solve using the Pythagorean Theorem.
21² + 28² = c²
441 + 784 = c²
1225 = c²
35 = c
35 miles
You can use any data set in this table (except the row with x) to get the ratio.
so 20/196 is the ratio which equals about .102041
then multiply that decimal by the weight in the x row to see what x is
so 1078(.102041) = 110.000198 just round that to 110. you can also verify that ratio by checking other data points. for instance
490(.102041) = 50.00009 or 50
so you know x is 50 so answer is either b or d
then you know the ratio .102041, so does (10/98) = .102041
or does (98/10) = .102041
if you do the division you will see that (10/98) = .102041
so the answer is D
A
using the Cosine rule in ΔSTU
let t = SU, s = TU and u = ST, then
t² = u² + s² - (2us cos T )
substitute the appropriate values into the formula
t² = 5² + 9² - (2 × 5 × 9 × cos68° )
= 25 + 81 - 90cos68°
= 106 - 33.71 = 72.29
⇒ t =
≈ 8.5 in → A
Answer:
x^2 -14x +49
( x-7)^2
Step-by-step explanation:
x^2 -14x
We are completing the square
Take the coefficient of x
-14
Divide by 2
-14/2 = -7
Square it
(-7)^2 = 49
Add it
x^2 -14x +49
Take the -7
( x-7)^2