9514 1404 393
Answer:
-2018
Step-by-step explanation:
The n-th term is ...
an = a1 +d(n -1)
So, the given terms are ...
-53 = a1 +12d
-128 = a1 +37d
Subtracting the first from the second gives ...
(a1 +37d) -(a1 +12d) = (-128) -(-53)
25d = -75
d = -3
The 668th term will be ...
a668 = a1 +d(668 -1) = a1 +667d = (a1 +37d) +630d
a668 = -128 +630(-3) = -128 -1890 . . . . substitute for a38
a668 = -2018
Answer:
3/2 (or 1 1/2)
Step-by-step explanation:
-4 1/6 + 5 2/3 (express as improper fractions)
= -25/6 + 17/3 (convert fractions common denominator i.e 6)
= -25/6 + (17/3)(2/2)
= -25/6 + (17 x 2)/6
= -25/6 + 34/6
= 9/6
= 3/2
=1 1/2
Find the x-intercept(s). To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form).
Answer:
<h2>The measure of angle EYH is 25°.</h2>
Step-by-step explanation:
Notice that ray EY is a tangent and ray VY is a secant.
In this case, we use the theorem that states <em>"the angle formed by a tangent and a secant is half of the difference of the intercepted arcs".</em>
In this case, the intercepted arcs are EH and EV. We know that a whole arc is 360°, so
Using the theorem, we have
Therefore, the measure of angle EYH is 25°.
Answer:
The height is 15.992 in
Step-by-step explanation:
1. The equation for a cylinder is . In this case, the equation looks like
2. Isolate h by dividing both sides of the equation by
3. This leaves us with
4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)