Answer:
80
Step-by-step explanation:
10- w = 90
w = 90 -10
w = 80
Answer:
the required equation is; y = 21 sin(πt/6)
Step-by-step explanation:
Given the data in the question;
Water rises above sea level = 21 ft
Water drops below sea level = 21 ft
so
maximum = 21 ft and also
minimum = 21 ft
Amplitude = ( maximum + minimum ) / 2
Amplitude = ( 21 + 21 ) / 2
Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft
Period = 12 hours
and we know that; period = 2π/b
so
12 = 2π/b
12b = 2π
b = 2π / 12
b = π/6
Standard equation for simple harmonic is; y = asin(bt)
we substitute
y = 21 sin(πt/6)
Hence the required equation is; y = 21 sin(πt/6)
Answer:
1
Step-by-step explanation:
Three side lengths that meet the requirements of the triangle inequality will form exactly one triangle.
_____
The triangle inequality requires the sum of the short sides be at least as long as the long side. Here, we have 3 + 4.69 = 7.69 > 7, so we satisfy the triangle inequality.
The side lengths can be arranged in clockwise or counterclockwise order, least to greatest. Each triangle is a reflection of the other, so they are considered to be the same triangle (congruent).
Y=-x+8
gradient of the parallel line is the same as the gradient of the line given, which is -1
to find the y-intercept, sub the values (9,-1) into the equation we are finding which is y=-x+c
Cheetah travels 0.15 km in .....................5 seconds or
15000 cm ......................5 seconds
a snail travels 1.5 cm in ...........................5 seconds
the cheetah travels in 5 seconds 15000-1.5=14998.50 cm which is equal to
149.985 meters which is choice A