Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq =
= 
cosq =
= 
J is correct. the scale is balanced, so x = 1. there are 9 1’s on the right, and 6 1’s on the left. there are 3 more blocks, and they would have to each be 1.
It equals 3/16 because I first multiplied the first to fractions together and I know that negative times a positive is negative so we would get a negative and I also multiplied the 2 to get -9/40 and then multiplied -5/6 to -9/40 to get the answer of 3/16!
Answer:
24
Step-by-step explanation:
7 hours = 420 mins (7×60)
420-60=360 (time taken for lunch)
15mins=one ride
360÷15=24 rides
Answer:
The equation of the line is y - 6 = -14/11(x + 4)
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (6 - -8)/(-4 - 7)
m = (6 + 8)/(-4 - 7)
m = 14/-11
m = -14/11
Now that we have the slope, we can use it and either point in point-slope form and solve for the equation.
y - y1 = m(x - x1)
y - 6 = -14/11(x + 4)