A multiplication problem
5.24 x 1.8=9.432 ft
hope this helps
In order to t² - t -2 = 0 become into this (t - 2)(t + 1) = 0, we have to know that a polynomial of the form ax² + bx + c = 0 can be factored as a(x + r1)(x + r2) = 0, where r1 and r2 are the roots of the equation ax² + bx + c = 0 and we can find them using the Quadratic Formula.
Let's solve the equation step-by-step.
t² - t -2 = 0 has the form at² + bt + c = 0, so can be factored as a(t + r1)(t + r2) = 0. With a = 1, b = -1, and c = -2
Step 1. Use the Quadratic Formula to find the roots r1 and r2.
t = −b ± √b²−4ac/2a
t = -(-1) ± √(-1)²−4(1)(-2)/2(1)
t = 1 ± √1+8/2
t = 1 ± √9/2 where r1 = 1 + √9/2 and r2 = 1 - √9/2
Step 2. Calculate the roots r1 and r2
r1 = 1 + √9/2 = 2
r2 = 1 - √9/2 = -1
Step 3. Write the factored equation a(t + r1)(t + r2) = 0, with a = 1 and the values of r1 and r2 with opposite signs.
1(t - 2)(t + 1) = 0
(t - 2)(t + 1) = 0
Answer:
The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.
Step-by-step explanation:
In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.
The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.
In right angled triangle ABC with right angle at B.
Since we have to find the length of rope that is the value of side AC.
Using trigonometric ratios
Putting values,
We know,
On solving we get,
AC= 20.0 ft
Thus, the length of rope is 20.0 ft
Hence, <u>option (1)</u> is correct.
Answer:
(x - 7)² + (y - 5)² = 116
Step-by-step explanation:
equation of a circle:
(x - h)² + (y - k)² = r²
where (h,k) is the centre and r is the radius
centre is the midpoint of the diameter:
(h,k) = (11+3)/2 , (-5+15)/2
(h,k) = (7,5)
diameter = sqrt[(15--5)² + (3-11)²]
diameter = sqrt(464) = 4sqrt(29)
radius = ½ diameter
radius = 2sqrt(29)
r² = 116
equation:
(x - 7)² + (y - 5)² = 116
Answer:
whats the question? please explain