The distance of plane from the origin is 357.14 miles
<u>Explanation:</u>
Given:
distance traveled southwards, y = 600 miles
Distance traveled east of south, z = 250 miles
Angle, θ = 35°
Distance of plane from the origin, x = ?
The figure is attached for reference:
tan θ = Perpendicular / base
tan θ = distance travelled east of south / x
tan 35° = 250 / x
we know,
tan 35° = 0.7
So,
Therefore, the distance of plane from the origin is 357.14 miles
No, 200 centimeters is greater than 2 yards
First keep in mind that the center is 5 inches...let L and R be the left and right positions of the two flames...
L=h and R=10-1.5h where h is in hours....
The two flames meet when L=R so we can say:
h=10-1.5h add 1.5h to both sides
2.5h=10 divide both sides by 2.5
h=4
So the flames will meet in five hours, using either original equation we can find this position, I'll use L=h..
L=4
So the position of the flames is 4" from the end. The questions ask how far this point is from the center so:
5-4=1"
So the flames meet 1 inch from the center.
Answer:
f(2) = 0
Step-by-step explanation:
Function f(t) is defined in three different ways depending on the value of t.
For t = 8, function f(t) is -64/t.
For t = 10, function f(t) is 14 - t.
We are not asked about f(8) or f(10). We are asked about f(2). The third definition of function f(t) is for all values of t that are not 8 or 10. 2 is not 8 or 10, so use the third definition of function f(t) and plug in 2 for t.
f(t) = t^2 - 3t + 2 for t not equal to 8 or 10.
f(2) = 2^2 - 3(2) + 2
f(2) = 4 - 6 + 2
f(2) = 0
Answer:
Should be 1/12
Step-by-step explanation:
7/30x5/14
Simply multiply the numerators and denominators separately:
5/14× 7/30 = 5 × 7/14 × 30 = 35/420
After reducing the fraction, the answer is
1/12
