Let d be distance travelled when they are level , and t = time that nora took to get level with mason
for Nora
6 = d/t
d = 6t
for Mason
5 = d / (t + 35)
d = 5 ( t + 350
so 6t = 5(t + 35)
solve for t
Answer:
Step-by-step explanation:
We use trig to answer these questions:
sin x = opposite side of a triangle / hypotenuse
cos x = adjacent side / hypotenuse
Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.
The height of the top of the ladder is then defined by:
sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =
3.71 m
and the distance of the bottom of the ladder from the wall as follows:
cos 68 degrees = horizontal distance / hypotenuse =
1.50 m
Answer:
16 inches
Step-by-step explanation:
<em>Note: it should say 56π inches instead of 56 inches otherwise no option is correct</em>
<u>Given</u>
- Diameter of the wheel = 16 in
<u>Full circumference of the wheel </u>
<u>Bike moves </u>
<u>The wheel turns:</u>
We only consider her 0.5 of full turn of the wheel to identify the screw position
Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.
This is the full diameter length, which is 16 inches
So correct answer option is 16 inches
Answer:
The fourth term of the sequence B(4) =-8
The sequence is 1,-2,4,-8...
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the sequence
B(n) = 1(-2)ⁿ⁻¹
Put n=1
B(1) = 1(-2)¹⁻¹ = 2⁰ =1
Put n=2
B(2) = 1(-2)²⁻¹ = (-2)¹ =-2
Put n=3
B(3) =1(-2)³⁻¹ = (-2)² =4
Put n=4
B(4) = 1(-2)⁴⁻¹ =(-2)³ =-8
The sequence
1,-2,4,-8...
